Course Contents-IISERB

COURSE CONTENTS2013-2104 INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH BHOPAL CONTENTS INTRODUCTION .....................................................................3 ALPHA-NUMERIC NOTATION FOR COURSES .................4 BS-MS CURRICULUM ..............................................................5 CORE COURSES .................................................................................................... 5 PROFESSIONAL COURSES...................................................................................... 10 Biological Sciences .................................................................................... 10 Chemistry .................................................................................................. 13 Earth and Environmental Sciences ........................................................... 16 Mathematics............................................................................................. 17 Physics ...................................................................................................... 20 PH.D. CURRICULUM ............................................................. 23 BIOLOGICAL SCIENCES ......................................................................................... 23 CHEMISTRY ....................................................................................................... 25 EARTH AND ENVIRONMENTAL SCIENCES ................................................................. 27 MATHEMATICS .................................................................................................. 28 PHYSICS............................................................................................................ 29 COURSE CONTENTS (BS-MS AND PH.D.) ........................ 30 BIOLOGICAL SCIENCES ......................................................................................... 30 CHEMISTRY ....................................................................................................... 56 EARTH AND ENVIRONMENTAL SCIENCES ............................................................... 116 MATHEMATICS ................................................................................................ 137 PHYSICS.......................................................................................................... 172 COMPUTER SCIENCE ......................................................................................... 223 HUMANITIES AND SOCIAL SCIENCES ..................................................................... 224 Page | 2 INTRODUCTION BS-MS (Dual Degree) programme consists of mandatory, common courses (core courses) for all disciplines during the first two years and discipline dependent professional courses during the remaining three years. Core courses include topics from all the four science disciplines in addition to interdisciplinary courses in earth and environmental sciences, computer science, and humanities and social sciences. During the final year, BS-MS students are required to undertake project work with a faculty supervisor, relevant to their major discipline. In addition to majoring in one of the four science disciplines, BS-MS students can also minor in another discipline by obtaining a minimum of 14 credits and fulfilling criteria specified by individual departments. The curriculum and other criteria for successfully completing the BS-MS programme in various disciplines are documented in the Undergraduate (UG) Manual. Ph.D. programme consists of course work, qualifying/comprehensive examination, seminars, and a thesis. Ph.D. students from all disciplines will have to register for a minimum of 24 course credits (16 course credits for lateral entry Ph.D. students) and a minimum of 32 research credits. In order to graduate, they should have a total minimum of 80 credits. Besides the mandatory requirements, students are encouraged to participate in several professional activities such as workshops, review meetings and conferences. All doctoral students are also expected to participate in the undergraduate teaching programme of the Institute as a part of their training. The curriculum and other criteria for successfully completing the Ph.D. programme in various disciplines are documented in the Postgraduate (PG) Manual. Page | 3 ALPHA-NUMERIC NOTATION FOR COURSES Subject Code: BIO CHM CS EES HSS MTH PHY Biological Sciences Chemistry Computer Science Earth and Environmental Sciences Humanities and Social Sciences Mathematics Physics Three Digit Numbers: All course codes will consist of a three-digit number in addition to the subject code. The first digit from left denotes the year for which the course is offered (1 to 6). The last digit indicates the semester (odd digits for odd semesters and even digits for even semester). The last digit convention is applicable for undergraduate courses only. Illustrative Examples: • • CHM 411 means that it is a chemistry course offered in the first semester of the fourth year. MTH 302 means that it is a mathematics course offered in the second semester of the third year. Page | 4 BIO 101 Course Name Biomolecules and the Origin of Life General Biology Laboratory I General Chemistry General Chemistry Laboratory Introduction to Computers Basics of Communication Skills Calculus of One Variable Mechanics General Physics Laboratory I Lec Hr 3 Lab Hr 0 Tut Hr 1 SS Hr 6 Credit 3 BIO 103 CHM 101 CHM 103 0 3 0 3 0 3 0 1 0 0 6 0 1 3 1 CS 101 HSS 103 2 1 1 0 0 0 6 2 3 1 MTH 101 PHY 101 PHY 103 Total 3 3 0 15 0 0 3 10 1 1 0 4 6 6 0 32 3 3 1 19 Page | 5 .BS-MS CURRICULUM Core Courses 1st Semester Course No. Course Name Lec Hr 3 0 3 0 Lab Hr 0 3 0 3 Tut Hr 1 0 1 0 SS Hr 6 0 6 0 Credit BIO 102 BIO 104 CHM 102 CHM 104 Diversity in the Living World General Biology Laboratory II Basic Inorganic Chemistry Inorganic Chemistry Laboratory I Oral and Written Communication Introduction to Earth Science Linear Algebra Electromagnetism General Physics Laboratory II 3 1 3 1 HSS 104 EES 102 MTH 102 PHY 102 PHY 104 Total 1 3 3 3 0 16 0 0 0 0 3 9 0 0 1 1 0 4 2 6 6 6 0 32 1 3 3 3 1 19 Page | 6 .2nd Semester Course No. BIO 201 BIO 203 CHM 211 CHM 213 CS 201 HSS 205 HSS 207 MTH 201 Course Name Flow of Genetic Information General Biology Laboratory III Basic Organic Chemistry Organic Chemistry Laboratory I Introduction to Computers Microeconomics Macroeconomics Multivariable Calculus and Differential Equations Quantum Physics General Physics Laboratory III Lec Hr 3 0 3 0 2 2 1 3 Lab Hr 0 3 3 3 1 0 0 0 Tut Hr 1 0 1 0 0 0 0 1 SS Hr 6 0 6 0 6 4 2 6 Credit 3 1 3 1 3 2 1 3 PHY 201 PHY 203 Total 3 0 17 0 3 10 1 0 4 6 0 36 3 1 21 Page | 7 . 1st Semester ONLY) Course No.3rd Semester (applicable during 2013-14. 3rd Semester Course No. BIO 201 BIO 203 CHM 211 CHM 213 HSS xxx HSS xxx Course Name Flow of Genetic Information General Biology Laboratory III Basic Organic Chemistry Organic Chemistry Laboratory I Microeconomics Indian Philosophy/Cognitive Sciences/Psychology Multivariable Calculus and Differential Equations Quantum Physics General Physics Laboratory III Lec Hr 3 0 3 0 2 2 Lab Hr 0 3 3 3 0 0 Tut Hr 1 0 1 0 0 0 SS Hr 6 0 6 0 4 4 Credit 3 1 3 1 2 2 MTH 201 3 0 1 6 3 PHY 201 PHY 203 Total 3 0 17 0 3 10 1 0 4 6 0 36 3 1 19 Page | 8 . BIO 202 BIO 204 CHM 222 CHM 224 EES 202 HSS 2xx Course Name Basic Genetics General Biology Laboratory IV Classical Thermodynamics Physical Chemistry Lab I Atmospheric Sciences Research Methods in Social Sciences/ Macroeconomics/ Sociology Probability and Statistics Electronics Electronics Laboratory Lec Hr 3 0 3 0 3 1 Lab Hr 0 3 0 3 0 0 Tut Hr 0 0 1 0 0 0 SS Hr 6 0 6 0 6 2 Credit 3 1 3 1 3 1 MTH 202 PHY 202 PHY 204 Total 3 3 0 16 0 0 3 12 1 1 0 3 6 6 0 32 3 3 1 19 NOTE: Lec Hr: Lecture Hours per week. So. CHM 222 has 3 Lec Hr and 6 SS Hr. Number of Credits = [(3+0+6)/3] = 3 Page | 9 .4th Semester Course No. every regular course will have 3 lecture hours per week • Number of Credits = [(Lec Hr + Lab Hr + SS Hr)/3] • All laboratory work (including notebook writing) should be completed inside the laboratory For example. Tut Hr: Tutorial Hours per week. Lab Hr: Laboratory Hours per week. SS Hr: Self Study Hours per week • Every Lecture Hour is associated with a certain number of Self Study Hours • Tutorials will have no credits • Typically. BIO 301 BIO 303 BIO 305 BIO 307 BIO *** BIO *** Total Course Name Cell Biology Biochemistry I Plant Physiology Biology Laboratory I Open Elective I Open Elective II Lec Hr 3 3 3 0 3 3 15 Lab Hr 0 0 0 6 Tut Hr 0 0 0 0 SS Hr 6 6 6 3 Credit 3 3 3 3 3/4 3/4 18/20 6th Semester Course No BIO 302 BIO 304 BIO 306 BIO 308 BIO *** BIO *** Total Course Name Biochemistry II Molecular Biology Animal Physiology Biology Laboratory II Open Elective III Open Elective IV Lec Hr 3 3 3 0 3 3 15 Lab Hr 0 0 0 6 Tut Hr 0 0 0 0 SS Hr 6 6 6 3 Credit 3 3 3 3 3/4 3/4 18/20 Page | 10 .Professional Courses Biological Sciences 5th Semester Course No. 7th Semester Course No. BIO 401/ 601 BIO 403/ 603 BIO 405 BIO *** BIO *** BIO *** Total Course Name Immunology Structural Biology Biology Laboratory III Departmental Elective I Open Elective V Open Elective VI Lec Hr 3 3 0 3 3 3 15 Lab Hr 0 0 6 0 Tut Hr 0 0 0 0 SS Hr 9 9 3 9 Credit 4 4 3 4 3/4 3/4 21/23 8th Semester Course No. BIO 402/ 602 BIO 404/ 604 BIO 406/ 606 BIO *** BIO *** BIO *** Total Course Name Bioinformatics Neurobiology Cancer Biology Departmental Elective II Departmental Elective III Open Elective VII Lec Hr 3 3 3 3 3 3 18 Lab Hr 0 0 0 0 0 Tut Hr 0 0 0 0 0 SS Hr 9 9 9 9 9 Credit 4 4 4 4 4 3/4 23/24 Page | 11 . A student must clear all the courses opted for. BIO 501 Total Course Name Project Work Credit 18 18 NOTE: • • To Minor in any discipline. BIO 501 BIO 5**S Total Course Name Project Work Advanced Topics in Biological Sciences (4 courses) Credit 10 2 each 18 10th Semester Course No. • • Page | 12 . the student has to take a minimum of 14 Credits (at least 4 open electives) of that particular discipline After the mid semester examination of the eighth semester. students will be assigned a supervisor for the ninth and the tenth semesters for doing Project Work. All laboratory work should be finished inside the laboratory including laboratory notebook writing. Minimum number of credits for getting a BS-MS Dual degree is 188.9th Semester Course No. Course Name Lec Hr 3 Lab Hr 0 Tut Hr 0 SS Hr 9 Credit 4 CHM 301/641 Symmetry and Group Theory CHM 311 CHM 313 Organic Chemistry I Organic Chemistry Laboratory II Physical Chemistry of Solutions Departmental Elective I Open Elective I 3 0 0 6 0 0 6 3 4 3 CHM 321 3 0 0 9 4 CHM *** CHM *** Total 3 3 15 3/4 3/4 21/23 Page | 13 .Chemistry 5th Semester Course No. 6th Semester Course No. CHM 401 CHM 411 CHM 421/621 CHM 423 CHM *** *** *** Total Course Name Non-Transition Metal Chemistry Physical Organic Chemistry Statistical Mechanics Physical Chemistry Laboratory II Departmental Elective III Open Elective III Lec Hr 3 3 3 0 3 3 15 Lab Hr 0 0 0 6 Tut Hr 0 0 0 0 SS Hr 6 9 9 3 Credit 4 4 4 3 3/4 3/4 21/23 Page | 14 . CHM 302 CHM 304 CHM 312 CHM 322 CHM *** CHM *** Total Course Name Chemistry of Transition Metals Inorganic Chemistry Laboratory II Organic Chemistry II Principles of Quantum Chemistry Departmental Elective II Open Elective II Lec Hr 3 0 3 3 3 3 15 Lab Hr 0 6 0 0 Tut Hr 0 0 0 0 SS Hr 9 3 9 9 Credit 4 3 4 4 3/4 3/4 21/23 7th Semester Course No. 8th Semester Course No. CHM 501 Total Course Name Project Work Credit 18 18 Page | 15 . CHM 402 CHM 422/622 CHM *** CHM *** CHM *** *** *** Total Course Name Applications of Modern Physical Methods Molecular Spectroscopy Departmental Elective IV Departmental Elective V Departmental Elective VI Open Elective IV Lec Hr 3 Lab Hr 0 Tut Hr 0 SS Hr 9 Credit 4 3 3 3 3 3 18 0 0 9 4 3/4 3/4 3/4 3/4 20/24 9th Semester Course No. CHM 501 CHM *** CHM *** Total Course Name Project Work Departmental Elective VII Departmental Elective VIII Credit 10 4 4 18 10th Semester Course No. Course Name Lec Hr 3 Lab Hr 0 Tut Hr 0 SS Hr 9 Credit 4 EES 313 Science of Sustainability: Managing Earth Resources EES 305 Mineralogy 3 0 0 9 4 6th Semester Course No. EES 419 EES 421 Course Name Environmental Biogeochemistry Remote Sensing of Natural Environment Lec Hr 3 3 Lab Hr 0 0 Tut Hr 0 0 SS Hr 9 9 Credit 4 4 8th Semester Course No.Earth and Environmental Sciences 5th Semester Course No. EES 410 Course Name Aqueous Geochemistry Lec Hr 3 Lab Hr 0 Tut Hr 0 SS Hr 9 Credit 4 Page | 16 . EES 308 Course Name Microstructure and Thermodynamics of Rock Forming Minerals Lec Hr 3 Lab Hr 0 Tut Hr 0 SS Hr 9 Credit 4 7th Semester Course No. Mathematics 5th Semester Course No. MTH 301 MTH 303 MTH 305 Course Name Groups and Rings Real Analysis I Foundations of Mathematics and Elementary Number Theory Departmental Elective I Open Elective I Lec Hr 3 3 3 Lab Hr 0 0 0 Tut Hr 0 0 0 SS Hr 9 9 9 Credit 4 4 4 MTH *** *** *** Total 3 3 15 0 0 9 4 3/4 19/20 6th Semester Course No. MTH 302 MTH 304 MTH 306 Course Name Modules Metric Spaces and Topology Ordinary Differential Equations Departmental Elective II Open Elective II Lec Hr 3 3 3 Lab Hr 0 0 0 Tut Hr 0 0 0 SS Credit Hr 9 4 9 4 9 4 MTH *** *** *** Total 3 3 15 0 0 9 4 3/4 19/20 Page | 17 . MTH 401 MTH 403 MTH 405 MTH 407 *** *** Total Course Name Fields and Galois Theory Real Analysis II Partial Differential Equations Complex Analysis I Open Elective III Lec Hr 3 3 3 3 3 15 Lab Hr 0 0 0 0 Tut Hr 0 0 0 0 SS Hr 9 9 9 9 Credit 4 4 4 4 3/4 19/20 8th Semester Course No.7th Semester Course No. MTH 404 MTH 406 Course Name Measure and Integration Differential Geometry of Curves and Surfaces Departmental Elective III Open Elective IV Open Elective V Lec Hr 3 3 Lab Hr 0 0 Tut Hr 0 0 SS Hr 9 9 Credit 4 4 MTH *** *** *** *** *** Total 3 3 3 15 0 0 9 4 3/4 3/4 18/20 Page | 18 . After the mid-semester examination of the 8th semester. All laboratory work should be completed during the laboratory hours including notebook writing. MTH 501 MTH*** MTH*** Total NOTE: • • • • • To Minor in any discipline. students will be assigned a supervisor for their Project Work. Minimum number of credits for getting a BS-MS Dual degree is 188. the student has to take a minimum of 14 Credits (at least 4 open electives) from that particular discipline. A student must clear all the courses opted for.9th Semester Course No. MTH 501 MTH *** MTH *** Total Course Name Project Work Departmental Elective IV Departmental Elective V Credit 12 4 4 20 10th Semester Course No. Course Name Project Work Departmental Elective VI Departmental Elective VII Credit 12 4 4 20 Page | 19 . Provisions for departmental electives exist in the 9th and 10th semesters for those students who choose theoretical chemistry as their research area. PHY 301 PHY 303 PHY 305 PHY 307 *** *** Total Course Name Mathematical Methods I Quantum Mechanics I Classical Mechanics Physics Laboratory I Open Elective I Lec Lab Tut Hr Hr Hr 3 0 0 3 3 0 3 12 0 0 6 0 0 0 SS Hr 9 9 9 3 Credit 4 4 4 3 3/4 18/19 6th Semester Course No. PHY 302 PHY 304 PHY 306 PHY 308 *** *** Total Course Name Mathematical Methods II Quantum Mechanics II Statistical Mechanics Physics Laboratory II Open Elective II Lec Hr 3 3 3 0 3 12 Lab Hr 0 0 0 6 Tut Hr 0 0 0 0 SS Credit Hr 9 4 9 9 3 4 4 3 3/4 18/19 Page | 20 .Physics 5th Semester Course No. 7th Semester Course No. PHY 401 PHY 403 PHY 405 *** *** *** *** Total Course Name Electrodynamics Condensed Matter Physics Condensed Matter Physics Laboratory Open Elective III Open Elective IV Lec Lab Tut Hr Hr Hr 3 0 0 3 0 3 3 12 0 6 0 0 SS Hr 9 9 3 Credit 4 4 3 3/4 3/4 17/19 8th Semester Course No. PHY 402 PHY 404 PHY 406 *** *** *** *** Total Lec Lab Hr Hr Atomic and Molecular 3 0 Physics Nuclear and Particle 3 0 Physics Nuclear Physics 0 6 Laboratory Open Elective V 3 Open Elective VI 3 12 Course Name Tut Hr 0 0 0 SS Hr 9 9 3 Credit 4 4 3 3/4 3/4 17/19 Page | 21 . PHY 501 Course Name Project Work 3 3 6 0 0 0 0 0 0 9 9 18 Lec Hr Lab Hr Tut Hr SS Hr Credit 14 4 4 22 PHY 5**/6** Departmental Elective I PHY 5**/6** Departmental Elective II Total 10th Semester Course No. PHY 501 Course Name Project Work 3 3 6 0 0 0 0 0 0 9 9 18 Lec Hr Lab Hr Tut Hr SS Hr Credit 14 4 4 22 PHY 5**/6** Departmental Elective III PHY 5**/6** Departmental Elective IV Total Page | 22 .9th Semester Course No. CURRICULUM Biological Sciences Course No.Ph. BIO 601 BIO 602 BIO 603 BIO 604 BIO 606 BIO 607 BIO 608 BIO 609 BIO 610 BIO 611 BIO 612 BIO 613 BIO 614 BIO 601S BIO 603S BIO 605S BIO 607S BIO 609S Course Name Immunology Bioinformatics Structural Biology Neurobiology Cancer Biology Virology Bioinstrumentation Biophysics Advance Genetics Advance Microbiology Developmental biology Stem Cell Biology Ecology Epigenetics Advance Microscopy Metagenomics and Genome Sequencing Structural basis of diseases Signal Transduction Lec Lab Tut SS Credit Hr Hr Hr Hr 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 0 0 9 4 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 3 3 3 3 3 4 4 4 2 2 2 2 2 Page | 23 .D. BIO 611S BIO 613S BIO 615S BIO 617S BIO 619S Cell Science and Technology Immunotechnology Stress Biology Membrane Biology Biomolecular NMR Spectroscopy 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 2 2 2 2 2 Page | 24 . CHM 602 Course Name Applications of Modern Physical Methods Advanced Inorganic Chemistry Bioinorganic Chemistry X-ray diffraction: Principles and applications Transition Metal Organometallic Chemistry Physical Organic Chemistry Advanced Organic Chemistry II (Advanced Organic Synthesis) Advanced Organic Chemistry I (Asymmetric Synthesis) Advanced Organic Chemistry III (Organometallics) Frontiers in Organic Chemistry Lec Lab Hr Hr 3 0 Tut Hr 0 SS Credit Hr 9 4 CHM 603 CHM 605 CHM 607 3 3 3 0 0 0 0 0 0 9 9 9 4 4 4 CHM 609 3 0 0 9 4 CHM 611 CHM 612 3 3 0 0 0 0 9 9 4 4 CHM 613 3 0 0 9 4 CHM 614 3 0 0 9 4 CHM 615 3 0 0 9 4 Page | 25 .Chemistry Course No. CHM 616 CHM 617 CHM 621 CHM 622 CHM 624 CHM 625 CHM 626 CHM 628 CHM 629 CHM 630 CHM 631 CHM 632 CHM 633 CHM 635 CHM 637 CHM 641 CHM 642 CHM 651 Spectroscopy and its application to organic molecules Chemical Biology Statistical Mechanics Molecular Spectroscopy Molecular simulations Biophysical chemistry Physical Photochemistry Electrochemistry Fundamentals and Applications Advanced Molecular spectroscopy Advanced statistical mechanics Electronic Structure Physical Chemistry of Polymers Quantum Chemistry Mathematical Methods for Chemists Chemistry and Physics of Materials Symmetry and Group Theory Principles of Quantum Chemistry Chemical Dynamics and Non-adiabatic Interactions 3 0 0 9 4 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 9 9 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 Page | 26 . Earth and Environmental Sciences Course No. EES 601/602 EES 603/ 604 EES 605/ 606 EES 607/ 608 EES 609/ 610 Course Name Aerosol Science Solid Earth Geochemistry Mineralogy Air Quality Management Microstructure and Thermodynamics of Rock Forming Minerals Aqueous Geochemistry Science of Sustainability Managing Earth Resources Global Atmospheric Chemistry Geochemistry Principles and Applications Environmental Biogeochemistry Remote Sensing of Natural Environment Structural Geology and rock deformation Lec Hr 3 3 3 3 3 Lab Hr 0 0 0 0 0 Tut Hr 0 0 0 0 0 SS Hr 9 9 9 9 9 Credit 4 4 4 4 4 EES 611/ 612 EES 613/ 614 3 3 0 0 0 0 9 9 4 4 EES 615/ 616 EES 617/ 618 EES 619/ 620 EES 621/ 622 EES 623/ 624 3 3 0 0 0 0 9 9 4 4 3 3 0 0 0 0 9 9 4 4 3 0 0 9 4 Page | 27 . Mathematics Course No. MTH 601 MTH 602 MTH 604 MTH 605 MTH 608 Course Name Algebra I Real Analysis Complex Analysis II Topology I Introduction to Differential Manifolds and Lie Groups Sturm-Liouville Theory Fourier Analysis on the Real Line Lec Hr 3 3 3 3 3 Lab Hr 0 0 0 0 0 Tut Hr 0 0 0 0 0 SS Hr 9 9 9 9 9 Credit 4 4 4 4 4 MTH 609 MTH 610 3 3 0 0 0 0 9 9 4 4 Page | 28 . PHY 601 Course Name Lec Lab Hr Hr 3 0 Tut Hr 0 SS Hr 9 Credit 4 PHY 603 PHY 6** PHY 6**/800 Advanced Mathematical Methods for Physics Advanced Quantum 3 Mechanics Departmental 3 Elective Departmental Elective/Ph.Physics 1st Semester Course No. Thesis Page | 29 .D. Thesis 0 0 0 0 9 9 4 4 4 2nd Semester Course No. PHY 602 PHY 604 PHY 6** Course Name Advanced Classical Mechanics Statistical Mechanics Lec Hr 3 3 3 Lab Hr 0 0 0 Tut Hr 0 0 0 SS Hr 9 9 9 Credit 4 4 4 4 Departmental Elective PHY 6**/800 Departmental Elective/Ph.D. Carbohydrates and Lipids (polymers).H. 5th edition. fatty acids (building blocks) Proteins.Spontaneous generation.Compare and contrasts. Concept of pH.D. pKa and buffers. Keith Roberts.COURSE CONTENTS (BS-MS and Ph. 2008 NCERT basic Biology books (1) . Nucleotides and Monosaccharides. hydrogen bonding and its biochemical properties. Molecular Biology of the Cell: Bruce Alberts. W. New York: Garland Science. Origin of Life. Properties of Water. Martin Raff. Cell organelles.) Biological Sciences BIO 101: Biomolecules and Origin of Life (3) Elemental Composition of Biomolecules. An Introduction to plant and animal cell . Basic structure and function of Biological Macromolecules: Amino acids. Suggested Reading: • • • Principles of Biochemistry: Lehninger. Nelson and Cox. 2008. Alexander Johnson. BIO103: General Biology Laboratory I • • • • • • Introduction to lab instruments and general lab practices Buffer preparation .amino acid titration (Glycine) Carbohydrate estimation Protein estimation – Bradford and Lowry Saponification and use of detergents Visualization of cells Page | 30 . 5th edition. Peter Walter. Julian Lewis. Pasteur and Miller experiments. Nucleic Acids. Freeman. Peter Walter. Cell Wall.media. Basic introduction to plant cell and processes unique to plants. Microbial culture . non living. Martin Raff. History of Microbiology.Structure and function. New York: Garland Science. Keith Roberts. John Wiley & Sons. Julian Lewis. An introduction to viruses.Structure and function (Overview. 5th edition . Alexander Johnson. pathogenic and non pathogenic protists. 2005 NCERT basic biology books (1) • • BIO 104: General Biology Laboratory II • • • • Media preparation Sterilization Antibiotic sensitivity Biochemical reactions of bacteria Page | 31 . Cell membrane.• • • • Histology slides Moldy jell-O experiment Osmosis Model preparation (3) BIO 102: Diversity in the Living World Living vs. Scope and branches of Microbiology. Bacterial cell and Eukaryotic cell . Variations and diversity of life (Five kingdom classification). isolation of pure culture. 2008 Essential Microbiology: Stuart Hogg. Physical and chemicals means to control bacteria. Suggested Reading: • Molecular Biology of the Cell: Bruce Alberts. Cytoplasm and components therein. Cytoskeleton and cell motility). Introduction to various phylums in plant and animal kingdom. Julian Lewis. Gene regulation. Plasmids and extra chromosomal DNA. Baker. Peter Walter. DNA replication in prokaryotes and eukaryotes. 10th edition.• • • • • • Bacterial growth curve Pure culture isolation Nutrient selection Gram’s Staining Bacterial motility experiment Histological animal and plant slides (3) BIO 201: Flow of Genetic Information Concept of central dogma of life ad variations. Genes and genome organization. 2009. Concept of RNA world. Bell. Keith Roberts. Translation: Genetic code. Mechanism of transcription in prokaryotes and eukaryotes. Protein. RNA replication and processing: capping. Stephen P. • Page | 32 . RNA. Martin Raff. Molecular biology of the gene: James D. and its degeneracy. Suggested Reading: • • Genes – Benjamin Lewin. Watson. 6th edition. 2007.Structure. Alexander Johnson. Benjamin Cummings. regulation of translation process. epigenetics.DNA. New York: Garland Science. Molecular Biology of the Cell: Bruce Alberts. 2008. Tania A. Richard Losick. Macromolecules and their organizations. Chromatin structure and nucleosomes. Jones & Bartlett Learning. Michael Levine. Introduction to gene silencing. polyadenylation. Transposons. Alexander Gann. conformation and organization. 5th edition. Segregation. Concept of gene. Chromosomal theory of inheritence. Cell division-Mitosis and meiosis. translocation and ploidy. germinal and somatic mutants.transformation. Page | 33 . biochemical. and environmental effects. insertional mutagenesis. gain of function. Incomplete dominance.BIO 203: General Biology Laboratory III • • • • • • • • • Plasmid isolation Competent cell preparation Transformation and calculation of the efficiency Nucleic acid estimation Polymerase Chain reaction Agarose Gel electrophoresis Poly Acrylamide Gel Eelctrophoresis (PAGE) Plasmid restriction mapping Genomic DNA isolation (1) BIO 202: Basic Genetics (3) Principles of inheritance. inversion. Sex linked inheritance. loss of function. multiple alleles. Plieotropy. Non Mendelian inheritance. Overview of different mutations: Lethal. Microbial genetics: Methods of genetic transfers. duplication.Dominance. Structural and numerical alterations of chromosomes: Deletion. Cell cycle and its regulation. Independent assortment. Mendelian principles . pseudoallele. Codominance. Maternal effect. Behavioral and population genetics.allele. pedigree analysis.cytoplasmic inheritance. probability. Epistasis. conjugation and transduction. Human genetics (blood group. genetic diseases). conditional. Study of cell organelles: Mitochondria. lipid rafts. Genetics. 2011. and Ann Reynolds. actin filaments and microtubule associated proteins (MAPs). Chloroplasts. McGraw-Hill Science/Engineering/Math. 4th edition. Michael Goldberg. Integrating cells into tissues (animals and plants). Leroy Hood.From genes to genomes: Leland Hartwell. 2010. McGraw-Hill Science/Engineering/Math. Golgi. Animal and Plant cell. BIO 301: Cell Biology (3) Prokaryotic and Eukaryotic cell. Cell surface signaling: Signaling pathways involving ligands and receptors. nucleocytoplasmic transport. Membrane and vesicular transport. Details of cell cycle. ER and lysosomes. (1) BIO 204: General Biology Laboratory IV • • • • • • • • • Onion root tip – mitosis Meiosis slides observation Beta-galactosidase based mutation analysis assay Complementation test Conjugation Transduction Chromosome preparation Model preparation Verification of Mendelian laws in model organisms. Molecular Page | 34 . Cellular cytoskeleton: Microtubules. Study of cell nucleus and chromosomal DNA. Membrane based ion channels. 4th edition. Intermediate filaments.Suggested Reading: • • Genetic Analysis and Principles: Robert Brooker. Cell membrane and its structure. cell division and consequences. Essential Cell biology: Bruce Alberts. 5th edition New York: Garland Science. Introduction to stem cells. 3rd edition. plant meristem. Functions of various proteins: Immunoglobulin. Secretion. pentose phosphate pathway and their Page | 35 . gluconeogenesis. Plasmodesmata. Keith Roberts. ubiquitinations and other modifications. Peter Walte. Hill’s coefficient. Concept of microscopy (fluorescence and electron microscopy). An introduction to enzymes: Mechanism of enzyme action. Biological oxidation reduction reactions. Protein aggregation and protein degradation and chaperones. ATP and its role in various metabolic processes. Alexander Johnson. 2008. 2009. cooperativity. Metabolic pathways. Enzyme inhibition (Competitive and non competitive).motors and cytoskeletal proteins. Cell death and cellular apoptosis. Julian Lewis. IC50. Martin Raff. Cell and Molecular Biology-Concepts and Experiments. Suggested Reading: • Molecular Biology of the Cell: Bruce Alberts. 2008. Movement of proteins into membranes and organelles. Vmax and Kcat calculation. introduction to enzyme kinetics. Allostery. endocytosis and exocytosis. Gerald Karp. Garland Science. Cell-ECM junctions. Cell signaling. (3) • • BIO 303: Biochemistry I Bioenergetics. membrane dynamics. John Wiley. Oxygen carrier proteins. Km. Vesicular trafficking. 6th edition. Biological Membranes and Transport: The composition and architecture of membranes. Glycolysis. Transporter proteins solute transport across membranes. Cell-Cell junctions.Receptors and second messenger. transpirational pull. Bulk-flow hypothesis. reactions of the Citric Acid Cycle Glyoxylate pathway. Photosynthesis: Discovery. 7th Edition. Nodulation. Photoinhibition. Classification of mineral elements required by plants. involvement of Page | 36 . TCA/Kreb’s cycle and its regulation: Production of Acetyl-CoA. Macromolecular. Biochemistry by Donald Voet. Creighton. Biochemistry: Lubert Stryer. Mineral Nutrition. organization of PSII and PSI. C3. Photosynthetic Electron transport chain. W. Judith G. mineral toxicity. Nelson and Cox.regulations. Freeman. Plant Defense mechanisms: PR proteins. their importance. 2010. Nitrogenase enzyme. diffusion. Hydroponics. phytoremediation. Sulfur and phosphorous metabolism. Hypersensitive response. Suggested Reading: • • • • Principles of Biochemistry: Lehninger. Helvetian Press. 5th edition. deficiency symptoms. different media for plant growth. KOK Cycle. Phloem Transport: Structure and function of Phloem. (3) BIO 305: Plant Physiology Plant Water Relations: Osmosis. Nod and Nif genes. 2010. C2.H. W. Solute transport: Transport proteins in plants and their importance. The Biophysical Chemistry of Nucleic Acids and Proteins: Thomas E. Mineral assimilation: N2. caviation. Mechanisms of water uptake in plants. 2010. sieve tubes. Evidence of existence of two photosystems. 2008. Dark Reaction. KRANZ anatomy. Biological Nitrogen fixation. Freeman. C4 and CAM. Starch metabolism. Wiley. Plant Secondary Metabolites. 4th edition. Voet. H. Brooks/Cole. Suggested Reading: • • Plant Physiology: Salisbury and Ross. Physiology and Abiotic stress response and tolerance: Plant Biotechnology: Micropropagation. Blue Light response and signaling.phytohormone in plant defense. Systemic acquired resistance. modification and degradation in gene regulation. mutants and commercial uses of hormones. involvement of protein shuttling. GA. Isolation of Plant Chloroplast or mitochondria (any one) Protoplast preparation/ visualization of stomata Coleoptile bending experiment Fractionation of cellular organelles using centrifugation and validation by immunoblotting. 2010. Flowering: Regulation of flowering in plants. Phytochrome. 1991. mutants. (3) BIO 307: Biology Laboratory-I • • • • • • • • Isolation of total RNA from Plant Tissues. Plant Physiology by Lincoln Taiz and Eduardo Zeiger. Vernalization. Purification of proteins using affinity chromatography Detection of proteins by CBBR and silver staining Page | 37 . ABA. Light controlled Plant Development. Plant Signaling: Basic mechanism of two-component signaling. Progammed Cell Death and Senescence. Phytohormones-Auxin. 5th edition. Sinauer Associates Inc. Enzyme kinetics (with or without inhibition) for alkaline phosphatase. 4th Revised edition. Cytokinin. Brassinosteroids. Ethylene. H. FAD. Fatty acid biosynthesis and degradation: Digestion. Suggested Reading: • • • • Principles of Biochemistry: Lehninger. Oxidation of Fatty Acids. W. and Transport of Fats. NAD. DNA damage and repairmechanisms. Nucleotide metabolism: Pathways and their regulations. homologous and site-specific recombination. RNA Synthesis: transcription factors and machinery. 2010. Ketone Bodies. 2010. 4th edition. Amino acid biosynthesis and degradation. Fidelity of replication. Creighton. 2008. coenezymes and cofactors. Freeman. Helvetian Press. Nelson and Cox. Mechanism of energy production: mitochondrial electron transport chain and Chemo-osmotis theory. 5th edition. Mobilization. 2010. nitrogen excretion and the Urea Cycle. Enzymes involved. Wiley. Biochemistry: Lubert Stryer. origin of replication and replication fork. The Biophysical Chemistry of Nucleic Acids and Proteins: Thomas E. Freeman. Judith G. 7th Edition.• • • Size exclusion chromatography for analysis of proteins and nucleic acids Introduction to animal cell culture Immunofluorescence (3) BIO 302: Biochemistry-II Ribozymes. extrachromosomal replicons.H. initiation complex Page | 38 . W. Biochemistry by Donald Voet. Voet. Vitamins. (3) BIO 304: Molecular Biology DNA replication: Unit of replication. Keith Roberts. 2007 Molecular Biology of the Cell: Bruce Alberts. Hybridization processes (Northern. Watson. elongation and elongation factors. tRNA-identity. inhibitors of translation. activators and repressors of transcription. plasmid vectors (shuttle and expression vector.formation. elongation. termination. RNA processing. Stephen P. heterologous protein expression and promoters). Michael Levine. Techniques for study of protein structures. Alexander Gann. Julian Lewis. RNA polymerases. southern and Western) Suggested Reading: • • • Genes – Benjamin Lewin. Richard Losick. Tania A. RNA editing. Jones & Bartlett Learning. Gene silencing. 2008. Protein degradation. Regulation of gene expression: Gene expression control at transcription and translational level. electrophoresis. Protein structure-function correlation: DNA recognition. membrane proteins. 10th edition.translational modification of proteins. proteins of the immune system. Page | 39 . 5th edition. translation: aminoacylation of tRNA. enzyme catalysis. Benjamin Cummings. and proof-reading. Bell. siRNA and microRNA. splicing. New York: Garland Science. post. Martin Raff. Protein engineering and design. formation of initiation complex and regulation of initiation factors. 2009. and termination. Baker. RFLP. 6th edition. Protein synthesis: Ribosome. different types RNA: structure and functions. and polyadenylation. Molecular biology of the gene: James D. Recombinant DNA technology and applications: Cloning. capping. RNA transport. Peter Walter. Restriction endonucleases. Alexander Johnson. concept of genetic code. aminoacyl tRNA synthetase. Chromatin and gene expression. viruses. Helvetian Press. Sinauer Associates. 1999. 2012. 5th edition. transport of gases in blood. Inc. 2nd edition. Digestive system: Acquisition of Energy: Metabolism. Reproductive System and unifying themes of animal development. regulation of body pH. Excretory system: Osmoregulation. osmoregulators. Suggested Reading: • • • Animal Physiology: Hill. 2001. Freeman. Principles of physiology: relationship between structure and function. Page | 40 . Introduction to Protein Structure: Carl Branden and John Tooze. obligatory exchanges of ions and water. muscular tissue and nervous tissue. Nervous system. Saunders.• • • The Biophysical Chemistry of Nucleic Acids and Proteins: Thomas E. 12th edition. W. Garland Science. Adaptation. Homeostasis. Creighton. (3) BIO 306: Animal Physiology Tissue system and their functions: Epithelial tissue. and absorption. Endocrine system: Hormones and their Physiological effects. Wyse and Anderson. Animal Physiology by Randall Burggren & French. Connective tissue. H. 2010. 3rd edition. Latest/classic research articles and reviews relevant to various topics. Text book of Medical physiology: Guyton and Hall. Cellular and biochemical techniques. 2011. Feed-back control systems and regulation. Methods for exploring physiological mechanisms: Use of Molecular. Respiratory system: respiratory pigments. Osmoregulation in water and terrestrial environment. Viruses. Gene amplification from bacterial genome and cloning into commercial vectors. Fungi.Algae. Gram +ve and Gram –ve bacteria. Protozoa. Cultivation of bacteria and the unculturable ones. reproduction and growth. ocean. food etc. Yeast transformation. environmental microbiology. et al. (3) BIO 309: Microbiology The Scope of microbiology. Estimation of Sugar in blood/urine by glucometer. History of microbiology. Industrial microbiology. Bacteria. Characterization. Page | 41 . verification of positive clones. Protein expression screening in BL21 strains and one-step purification from whole cell lysates. pathogenesis and defense mechanisms. Morphology and fine structure of bacteria. In vitro transcription. control of microbes.BIO 308: Biology Laboratory-II • • • • • • • • • • • (3) Estimation of Hemoglobin using hemometer. Analysis of protein expression upon DNA damage. Introduction to microbial genomics and sequencing Suggested Reading: • Microbiology 5E by Michael PelCzar. Pathogenic and non pathogenic microbes. skin. antibiotics. Analysis of histones by 2-Dimensional gel electrophoresis.. classification and identification. energy production and utilization. Microbes with unusual properties. Different types of microbes. Analyzing the components of blood. Analysis of chromatin structure by Micococcal nuclease.soil. gut. microbial motility. In vitro translation. aβ and gd T cells. classification. affinity maturation. allotypes and Idiotypic markers. et al. Classical and alternative pathways. Interferons and viral infections. Opsonization. Th1 Th2 cells and cytokines. Natural and adaptive immune responses. Classification of immunoglobulins. Page | 42 . cells and molecules. Immunological techniques.• General Microbiology by Roger Yate Stanier. Parasitic infections and role of Eosinophils Asthma. Hybridoma and monoclonal antibodies. immunoglobulin domains. NK cell receptors and NK gene complex. Signal transduction. VJ/VDJ rearrangements and genetic mechanisms responsible for antibody diversity. IgE receptor. structure and function. APC-T cell interaction T cell activation. immediate hypersensitivity. Innate receptors (TLR. Isotypes. Class I and class II MHC molecules. Fc Receptors. inverse correlation with target MHC expression. Introduction to inflammatory reaction. Complements structure and function. Mechanisms of barrier to entry of microbes into human body. antigen presentation and MHC restriction. phagocytosis and microbicidal mechanisms. T cell receptors. Prostaglandins and leukotrienes. Thymic selection and tolerance to self. concept of variability. Genetic organization of H2 and HLA complexes. Concept of Histocompatibility. RLRs and NLRs) and sensing of PAMPs. (4) BIO 401/601: Immunology Introduction to Immune System: organs. migration of neutrophils to the site of infection. Antibody structure and function. missing self hypothesis. allelic exclusion. Cytotoxic T cells. Differentiation of stem cells to different cellular elements in blood. Chemokines. Super antigens. role of cytokines. ADCC. Class switching. T cell differentiation in thymus. receptor and soluble forms of immunoglobulin. Intercellular antigen presentation pathways. Basophils. Idiotypic network Immunoglobulin genes. Natural Killer Cells. Hybrid resistance. crosses reactivity. cell-cell interaction. Mark Walport. Super secondary structure. Page | 43 . Burton. Geometry and chemistry of di-peptide. peptide bond. Kuby Immunology. Roitt. Basics of nucleic acid structure: The building blocks. Ramachandran map. Freeman & Company.Suggested Reading: • • • Essential Immunology: Peter J. dihedral angle. H. 2006. 6th edition. Quaternary association of globular proteins. Current topics in structural biology: membrane protein structure. 2001. protein-protein interaction. higher-order structure and nucleosomes. Seamus J. Immunobiology: The immune system in health and disease by Charles Janeway. protein folding and degradation. Protein structure. W. Signal transduction. Delves. DNA secondary structure: the Double Helix. immune system. Wiley-Blackwell. Deviation from the ideal geometry. Collagen triple helix. Structural domains. Martin. Ivan M. function and mechanism: Examples of protein three dimensional structures. tertiary structure of RNA. chaperons. primary sequence. cell motility. 12th edition. 2011. (4) BIO 403/603: Structural Biology Proteins from primary to quaternary structures: Amino acids. Dennis R. molecular mechanism of enzymatic function. Virus structure and assembly. Paul Travers. Mark Shlomchik. 5th edition. Structural biology and evolution. membrane proteins. Secondary structural elements and their geometric description. Garland Science. Viral entry: Viral proteins and host cell surface receptors involved. Hepatitis viruses. 2nd edition. Virion components and structure. Pathogenic viruses : Respiratory viruses. 2010. Freeman. Viral replication. (3) BIO 405: Biology Laboratory-III • • • • • • • • • • • • Immunization of mouse/Rabbit by defined antigen such as OVA Estimation of antibody by ELISA Preparation peritoneal exudates cells (PECs) from mouse by thioglycollate injection Isolation of PECs Cell counting Culturing and stimulation of PECs with LPS Estimation of cytokine by ELISA Western blotting experiment Modeling protein and DNA secondary structures and tertiary folds (group experiment) Protein/DNA secondary structure estimation Thermodynamic estimation of protein/DNA stability Protein degradation under various conditions. Classification of viruses. Gastroenteritis causing viruses.Suggested Reading: • • • Biochemistry: Lubert Stryer. 7th Edition. Viral maturation and release. Introduction to Protein Structure: Carl Branden and John Tooze. 1999 Research Articles as per requirements. (4) BIO 407/607: Virology Overview and history. H. Mechanisms of viral entry. W. Garland Science. Page | 44 . Lamb. General laboratory methods for diagnosis of viral infections. Introduction to Quantum Chemistry & Molecular Spectroscopy. Arboviruses and Viral zoonoses. Congenital viral infections. Case studies from literature. Mietzner. Single molecule manipulation. Introduction to Statistical Mechanics. NMR spectroscopy. 2010. Viruses implicated in exanthematous diseases. Karen C. Stephen A. Suggested Reading: • • Field's Virology: David M. Janet S. Brooks. Butel.Herpesviruses. Lippincott Williams & Wilkins. McGraw-Hill Medical. evolving and emerging areas of interest. Howley. Griffin. Timothy A. Agents of viral encephalitis. Jawetz.. Martin. Basic introduction to molecular spectroscopy: CD. High resolution light microscopy. Straus. (4) BIO 409/609: Biophysics Basic principle of modern biophysical methods to study macromolecules from the atomic to cellular levels. Introduction to X-ray crystallography. Diane E. & Adelberg's Medical Microbiology: Geo. Atomic Force Microscopy. Oncogenic viruses. 25th edition. Active and passive immunoprophylaxis. Immunology of viral infections. Emerging and re emerging viral infections (In each of the above groups. cryo electron microscopy. Morse. Mass spectrometric technique. Bernard Roizman. Carroll. Strategies for control of viral infections: Antiviral agents. fluorescence. Enteroviruses. Stephen E. 2007. Haemorrhagic fever causing viruses. Retroviruses. Peter M. Malcolm A. Robert A. Melnick. to discuss briefly on the following: (i) viruses included (ii) epidemiology (iii) viral pathogenicity). 5th edition. molecular distribution and Page | 45 . Statistical thermodynamics. Knipe. F. lattice statistics. Stringent response in bacteria. Sulphur cycle. Nitrogen cycle. Suggested Reading: • • Spectroscopy for the Biological Sciences: Gordon G. The problem of protein folding. Microbial Physiology. Modes of DNA transfer in bacteria. Mechanism of drug resistance. 2007. Introduction to Membrane Biophysics. Industrial microbiology). Microbial Ecology. Harley and Klein. Suggested Reading: • Microbiology by Prescott. Energy production in eubacteria. Applied Microbiology (Food microbiology. 1st edition. Theoretical and experimental approaches to study protein folding. WileyInterscience. Microbial genetics. Signal Transduction in bacteria. Quorum sensing and Two component system. Biophysical Chemistry: Part II: Techniques For The Study Of Biological Structure And Function by Charles R. Bacteriophage biology. Microbial metabolism. molecular dynamics simulation. Structure and function of membranes. Cantor and Paul Reinhart Schimmel. experimental and theoretical tools for studying biological membrane. Virus classification.correlation functions. Energy production in archaea. Phage display and lambda DNA library. W H Freeman and Co. Microbes and agriculture. Page | 46 . 1980. Oxford. 7th edition. Lytic and temperate phage. 2005. pp 503. (4) BIO 411/611: Advances in Microbiology Microbial taxonomy. McGraw-Hill Science/Engineering/Math. Bacteriophage genetics and gene regulation. clonality. potency. insulin producing cells for treatment of diabetes.stemness. stem cell and tissue engineering for skin graft. 1987. 2002. Stages of early development (zygote to gastrula) in mouse and human. 2nd edition.Vol 1-2: Cellular and Molecular Biology by Neidhardt and Curtiss. 2005. epigenetic modifications. E. intestine. Bacterial and Bacteriophage Genetics: Edward Birge. (4) BIO 413/613: Stem Cell Biology Introduction to concepts in stem cell biology. Stem cells and cancer. Induced pluripotent stem cell (iPSC). WileyLiss.stem cell niche. 5th edition (December 8. Fetal stem cell in extraembryonic tissues.based on potency. coli and Salmonella Typhimurium. comparison with ESC. stem cells to repair damaged heart.modeling diseases using stem cells. Embryonic stem cell (ESC). stem cell in corneal and retinal regeneration. spontaneous and directed differentiation. retina. etc. American Society for Microbiology. Classification of stem cells. Potential therapies using stem cells. renewal. muscle). tissue of origin. localization and identification of stem cells from various tissues and organs (skin. Springer. lineage. blood. stem cell gene therapy. comparison with embryonic carcinoma cells (ECC) and embryonic germ cells (EGC). brain.• • • Modern Microbial Genetics by Streips and Yasbin. Ethical issues and guidelines for stem cell research Page | 47 . stem cell therapy for sickle cell anemia.methods of reprogramming differentiated cells. 2 Volume Set edition. Adult stem cell. stage of origin.molecular mechanism of cell renewal and maintenance of pluripotency. neural stem cells for central nervous system repair. Personalized pluripotent stem cells. Dot matrix method. PDB. skills needed. commonly used gene prediction methodsORF finder. Local and global alignments. Academic Press.. Classical/recent research papers and reviews relevant to the topics. concepts. web resources: NCBI. Scott F. etc. Metagene. reading frames. homology. MAFFT. Prediction of genes and annotation methods: Concept of genes. codons and codon bias. Glimmer. identity. Oxford University Press. XML. 2nd Edition. Eighth Edn. etc. ORFs. data organization and retrieval using FTP from NCBI. Databases. biological data. DDBJ. applications. Annotation using homology-based alignment using Blast or Blat. insertions.. sequences. 2009. gaps. PDB.Suggested Reading: • • • • Essentials of Stem Cell Biology: Robert Lanza et al. Phylogenetic analysis: Page | 48 . multiple sequence alignments. Stem Cells: A very short introduction. COGs and Gene ontology based functional annotation. Sequence formats: FASTA. GenBank. utility. BLOCKS. Blast. GeneMark. genetic code. similarity. Inc. SwissProt. deletions. tools available for format interconversion. Conversion from one format to another. Sequence alignment algorithm and tools: Introduction to sequence alignment. Clustalw. 2006. scoring matricesPAM and BLOSUM. overview. PubMed. challenges in gene prediction. Needleman-Wunsch algorithm. KEGG. (4) BIO 402/602: Bioinformatics Introduction to bioinformatics. Gilbert. scope. Sinauer Associates. EMBL. etc. Jonathan Slack.Entrez. Developmental Biology. 2012. and web resources. Medline. Blat. UCSC. GenBank. GCG. dynamic programming algorithm. concepts and terminologies, commonly used phylogenetic methods such as PHYLIP, MEGA. Introduction to rRNA, taxonomy and taxonomic classification. Maximum parsimony method, Distance methods, Neighbor-joining methods; Protein classification and structure prediction: Introduction to domains, motifs, fold, family, Helices, beta-sheets, loops, coils. Primary, secondary and tertiary structure. Structure visualization tools such as RasMol; Genome analysis: Introduction to genomes and packages for genomic analysis such as EMBOSS; Introduction to Linux and Perl. Suggested Reading: • • Bioinformatics- Sequence and Genome Analysis by David W. Mount; Cold Spring Harbor Laboratory Press,U.S.; 2nd Revised edition edition; 2004. Introduction to Computational Genomics by Nello Cristianini and Matthew W. Hahn; Cambridge University Press; 2007. (4) BIO 404/604: Neurobiology Organization of the nervous system; Cytology of neurons- structural and functional blue print of neurons, sensory and motor neurons; Ion-channels- importance of ion channel in nerve physiology, characteristics of ion channels, structure of ion channels, techniques used to study ion channels; Bioelectricity, measurement of bioelectricity; Electrical properties of neurons; Membrane potentials- resting membrane potential, Ionic basis of membrane potential; Generation and propagation of action potential; Synaptic transmission- membrane trafficking at nerve terminals, local machinery at nerve terminals for vesicle recycling, genetics and cell biology of synaptic vesicle trafficking; modulation of synaptic transmission; Neurotransmitters- properties, types and classification of neurotransmitters and their synthesis neuromodulators; Synaptic Page | 49 plasticity and its implication in learning and memory; Introduction to perception (with emphasis on Pain, Visual and Odor perception). Suggested Reading: • • Principle of neural science: Eric R. Kandel, James Schwartz, Thomas Jessell, Steven Siegelbaum, A.J. Hudspeth; McGrawHill, 5th edition; 2012 From Neuron to Brain: Nicholls, Martin, Wallace and Fuchs; Sinauer Associates; 4th edition; 2001. (4) BIO 406/606: Cancer Biology Cell division, aneuploidy, polyploidy and chromosomal translocations, consequential uncontrolled growth and cancer; Nature of cancer; carcinogens, DNA damage and mutagenesis; Inherited susceptibility to cancer; Genomic integrity and development of cancer; Cancer cell cycle and tumor suppressor proteins, cell signaling; Cellular Oncogenes, mitogens and dysregulation of pathways in cancer; Growth factors and associated signaling pathways in cancer; Epigenetics in cancer; Tumor viruses and mechanisms of oncogenesis; Tumor metastasis; Angiogenesis; Cellular immortalization and activation of telomerase in cancer; Apoptosis; Stem cells; Tumor immunology; Role of cytokines and hormones in cancer; Immunotherapy and cancer gene therapy, chemo and radiation therapy. Suggested Reading: • The biology of Cancer: Weinberg RA; Garland Science; 2007. Page | 50 • The Molecular Basis of Cancer: Mendelsohn J, Howley PM, Israel MA, Gray JW, Thompson CB (eds); Saunders Elsevier, Philadelphia; 3rd edition; 2008. (4) BIO408/608: Bioinstrumentation Spectroscopy (UV/Vis spectroscopy, Fluorescence spectroscopy, CD spectroscopy); Principle of centrifugation (Density gradient centrifugation; Ultracentrifugation; Analytical centrifugation); Microscopy; (Bright field and dark field microscopy; Fluorescence microscopy; Confocal microscopy; Electron microscopy); Sequencing of protein and nucleic acid; Next generation sequencing; Realtime QPCR; Chromatography (Ion exchange, Gel filtration, Affinity, Thin-layer); Radioisotope technology. Suggested Reading: • • • • • • • • Analytical ultracentrifugation for the study of protein association and assembly, Geoffrey J Howlett, Allen P Minton, Germán RivasCurrent Opinion in Chemical Biology Volume 10, Issue 5, October 2006, Pages 430–436 Analytical Ultracentrifugation: Sedimentation Velocity and Sedimentation Equilibrium. James L. Cole, Jeffrey W. Lary, Thomas Moody, and Thomas M. Laue Methods Cell Biol. 2008; 84: 143–179 Molecular Cloning by Sambrook and Russel Chapter 12 How to study proteins by circular dichroism Biochim. Biophys. Acta (2005) 1751: 119 Principles of Fluorescence Spectroscopy by Lakowicz Confocal Microscopy for Biologists by Alan R. Hibbs Handbook of Biological Confocal Microscopy by James Pawley Page | 51 BIO 410/610: Advances in Genetics (4) History of genetics; Mendelian Genetics; Extension of Mendelian genetics; Chromosomal theory of inheritance; Patterns of Inheritance; relationship between genotype and phenotype; Mutations and Repair; Linkage and recombination; Gene mapping; Genetic Fate mapping, Tetrad analysis; Functional genomics; Phage genetics; Genetic Analysis of populations and their evolution; Evolution at the molecular level. Making transgenic animals, Use of FLIP-FRT and Cre-lox system Suggested Reading: • • Genetic Analysis and Principles: Robert Brooker; McGraw-Hill Science/Engineering/Math; 4th edition; 2011. Genetics- From genes to genomes: Leland Hartwell, Leroy Hood, Michael Goldberg, Ann Reynolds and Lee Silver, 4th edition; 2010 (4) BIO 412/612: Developmental Biology Mitosis and Meiosis, gametogenesis (plants and animals), fertilization and embryogenesis, morphogen gradients, differentiation, asymmetric cell division, cell fate and lineage determination; Developmental embryonic stages, zygotic division, incomplete division and consequences, Ecto, meso and endodermal development, neural plate and tube formation; Early asymmetric division and generation of symmetry in developing embryo in animals and plants; Introduction to plant fertilization, ovule and egg and support cells; organogenesis and morphogenesis, metamorphosis, animal life cycle, sex determination and role of apoptosis in organ development; Role of morphogens and their gradient in axis patterning and determination. Concept of anterioPage | 52 Slack. Academic Press 1994. growth. 1990. evolution. 2010. storage. Black and J. C. death rate. moisture. Sinauer Associates Inc. Cellular differentiation and senescence. gallus. Topics in Plant Physiology 3. phenotype. functional and numerical response. Wiley Blackwell Scientific. Page | 53 . Trophic interactions: herbivory. Model organisms like Drosophila. fire. photosynthesis. reproduction. Population Ecology (Population growth and regulation: birth rate. seed formation (monocot/dicot) and germination. flowering and nonflowering plants. r and K selection. elegans. Meristamatic tissue. carrying capacity. acclimation. predation. iPS cells Suggested Reading: • • • • Plant Development: The Cellular Basis: R. Developmental Biology: Scott F. Plant growth and Development: a molecular approach: DE. Essential Developmental Biology: J. G. respiration. 2nd edition. Series editors M. survivorship curves. Unwin Hyman Ltd. (4) BIO 414/614: Ecology Ecology of Individual Organisms (Physiological ecology. population pyramids. Root and shoot development. Abiotic factors: temperature. light. pollution). energy balance. Chapman. F. Xenopus. 2005. optimal foraging. ecological indicators. group selection. Stem cells and pluripotency. dorso-ventral and medio-lateral axis formation. limiting factors.posterior. Lyndon. human populations Evolution: genotype. biological control. development of root and leaf and floral tissues. population growth functions. life tables. optima. Gilbert. natural selection. Fosket. extinction. nutrients. soil.tolerance range. Urry. Wasserman.. Community change: disturbance. biomass vs. 2011.C. phenology.parasitism. assembly rules. Cain. primary production. Jackson. seasonal pattern Ecosystem Ecology (Productivity and energy flow: food chain. primary producers. watershed studies. W. competition. ecological efficiency. Lisa A. secondary production. grazing food chains. Campbell. decomposers. Benjamin-Cummings Pub Co. transport of production. hydrologic cycle. Biology: Neil A. H. saprobism. Community Ecology (Community structure: dominance. Jane B.. Orians. spatial structure. 9th edition. Peter V.H. (2) Advanced Topics in Biological Sciences *: BIO 501S/601S BIO 503S/603S BIO 505S/605S BIO 507S/607S BIO 509S/609S BIO 511S/611S BIO 513S/613S BIO 515S/615S BIO 517S/617S BIO 519S/619S Epigenetics Advances in Microscopy Metagenomics and Genome Sequencing Structural Basis of Diseases Signal Transduction Cell Science and Technology Immunotechnology Stress Biology Membrane Biology Biomolecular NMR spectroscopy Page | 54 .K. climax. mutualism). 2007. ecotones. Robert B. Steven A. consumers. Biogeochemistry: nutrient cycling. diversity. production. decomposition. Michael L. energy flow. Purves. Reece. Heller. succession. biological control of atmosphere and ocean). G. guilds. food web. Minorsky. Freeman. D. Suggested Reading: • • Life: the science of biology: Sadava. 8th edition. ecological niche. detritus vs. Each topic will consist of 18-21 lectures of TWO credits each. Ph. Students will have to select 4 topics in the 9th semester.*S in the course code denotes short-module courses. BIO 501: Project Work BIO 501: Project Work (10) (18) Page | 55 . It will consist of 3 lecture hours and 3 self study hours per week. students can also credit these courses.D. electronegativity. pKb as applied in different chemical structures.Chemistry CHM 101: General Chemistry (3) Atomic Structure. gas-phase vs solution behavior of acids. The solid state structures. Electronic effects: Dipole moment. resonance and rationalization of structures. periodic properties of elements and periodic trends. Periodic Table and the Concept of Periodicity: Atomic structure. Slater’s rules. Acids and Bases: Various theories of Acids and bases. resonance effect. hyper-conjugation. Concepts of pH. Page | 56 . Chemical Bonding: Lewis theory. compressibility factor. concept of HOMO. barometric distribution law. screening effect. Solid acids. mean-free path. Properties of the Gaseous State: Gas Laws. Brønsted acids and bases. ionization energies. Vector model of atom and electronic configuration of polyelectronic atoms. electron affinity. Heat capacity of gases. equation of states. polarizability. Distribution of molecular speeds and its applications. VSEPR theory and shapes of molecules. Applications of the periodic law. inductive and field effects. Formal charges. fundamental aspects of aromaticity. Atomic structure as the basis for periodicity. Fajan’s rules. real gases and virial expansions. Applications of VSEPR theory in predicting trends in bond lengths and bond angles. Molecular orbital theory of homo and heterodiatomic molecules. law of corresponding states. Effective nuclear charge. pKa. Lewis acidity. Size of atoms and ions. LUMO and SOMO. critical constants. ‘Hard’ and ‘Soft’ Acids and Bases. diagonal relationships. lattice energy and Born-Haber cycle. Protonic acids. concept of multicentered bonding. comparative study of second short period elements (B to F) with heavy congeners (Al to Cl).. Cotton. Fluxional molecules. Chemical forces. Berry pseudorotation. General characteristics of Transition elements: Color. Canada. Redox Page | 57 . P.. Ed. 9th edition. 2006.Suggested Reading: • • • • • • Concise Inorganic Chemistry. Application of molecular orbital theory to polyatomic molecules (localized and delocalized orbitals). de Paula. F. 4th. Main group Chemistry: General characteristics of s. (3) CHM 102: Basic Inorganic Chemistry Concepts and principles of non transition metal chemistry: An overview of bonding models in inorganic chemistry. Chemistry. G. Brooks/Cole. Oxidation and Reduction: The central role of transfer of electrons in chemical processes. D. The importance of splitting of water. Walsh diagrams. Kotz. Blackwell Publishing. Chang. Third Edition. Inorgranic Chemistry. C. Atkins. 7th Edition. Lee. J. Wilkinson. hyper-valency. J.and p-block elements [hydrides. 9th. Bent’s rule. R. oxides. R. Gaus. J. Oxford University Press 2006. 1995. P. P. 2010. Physical Chemistry. Electron deficient molecules. L. J. John Wiley and Sons Press. halides]. A. Basic Inorganic Chemistry. Fifth Edition. Chemistry and Chemical Reactivity. 2006. and variable oxidation states. Atomic inversion.W. McGraw-Hill. Cengage Learning. Treichel. Ed. M. Townsend. Oxford University Press 2009. Shriver and Atkins. magnetism. P. Theory of disintegration. Suggested Reading: • • • • Inorganic Chemistry. Precision and Accuracy. TLC. classification of chromatographic techniques. Nuclear fission. Lee. Fuel cells. John Wiley and Sons Press. Shriver and Atkins. 2006. Gaus. Range. D. Principal of Gravimetric and volumetric Principals.chemistry of extraction (Ellingham diagrams). disintegration series. Wiley India (P. Radioactivity and Nuclear Chemistry: The nature of radioactive radiations. Cotton. Concept of 18 electron rule among transition metal complexes. 2010. Analytical Chemistry: Errors in Chemical Analysis. Third Edition. India. Concepts and Models of Inorganic Chemistry.. Preliminary idea about crystal field theory [CFT] (splitting of d-orbital energy levels for Oh. D. Douglas. Preliminary ideas about relationship of transition metal complexes and metalloenzymes. applications. and errors.) Ltd. McDaniel. Mean. detection and measurements. Page | 58 . critical mass. Transition metal complexes: types of ligands and stereochemistry of complexes. artificial radioactivity. Concise Inorganic Chemistry. Td and square planar complexes). Half-life and average life period. B. Alexander. Fifth Edition. Batteries and modern state of solid state batteries. Median. Conversion of chemical energy into electricity. F. A. J. Blackwell Publishing. J. nuclear fusion. Fourth Edition. G. Oxford University Press. Column chromatography. paper chromatography. Wilkinson. 1995. deviations. L. Basic Inorganic Chemistry. 2006. application of CFT to explain color and magnetism of transition metal complexes. Estimation of Iodine in Iodized common salt. Estimation of Phosphoric acid in a Cola by Mo-Blue method.CHM 103: General Chemistry Laboratory Suggested Experiments: • • • • • • • • • • Synthesis of cyclohexanone oxime. Determination of strength of acid and base. Estimation of acetic acid in vinegar solution. Page | 59 . Preparation of [Ni(NH3)6]2+&Ni estimation (Complexometry & Gravimetrically) Caffeine Isolation from Tea Leaves. Determination of Acid neutralizing power of Commercial Antacids. Synthesis of polymer. Nylon 6-10. Detection of common cations and anions. The clock reaction Thin Layer Chromatography Photochemical reduction of ferric oxalate. Acetylation of salicylic acid. (1) CHM 104: Inorganic Chemistry Laboratory Suggested Experiments: • • • • • • • • (1) Estimation of Calcium in Milk Powder through EDTA complexometry. Preparation of hexamine nickel chloride [Ni(NH3)6]Cl2. Recycling of Aluminum: Preparation of Potash Alum from waste Aluminum Blueprinting: Study of Photochemical Reduction of a Ferric salt. endo. nicotine. Baeyer-Villiger. thalidomide. propane. Beckmann. free radicals. Z. radical anions. pinacolpinacolone.• • • • • An Experiment of Chromatography: Both TLC and Column separations. cyclohexane and monosaccharides Stereoisomerism. Preparation of a Metal Complex with a Multidentate Ligand: Preparation of Poly-nuclear Thiourea Complex of Copper (I) Preparation of a Polystyrene Film. stability and reactions of carbocations. Curtius. formation. Separation of β-Carotene & Chlorophyll from Spinach extract by Paper Chromatography Preparation of Ni or Co-Acetylacetonate. etc. configuration (R. carbenes and nitrenes (in brief) Molecular rearrangements (basic principles and migratory aptitude): Wolff. E. etc. exo epimers. butane. carbanions.. (3) CHM 211: Basic Organic Chemistry Stereochemistry: • • • • • • • • • Fischer. threo. electrophilic and nucleophilic aromatic substitutions. . projection formulae Conformational analysis of ethane. DOPA. Newman. radical cations. and without an asymmetric atom. optical isomerism in compounds with one and two chiral centers. nomenclatures such as erythro. morphine) Reactive Intermediates and molecular rearrangements: Introduction to structure. S). etc. nucleophilic aliphatic Page | 60 . . Organic Reactions: Electrophilic and radical additions to alkenes.. resolution of racemic compounds Biodiscrimination of stereoisomers (amino acids. saw-horse. anomers. arynes. SNi reactions. Morrison. Warren. Boyd. G. Solomons. W. 2007. M. Fryhle. Hornback. Organic Chemistry. S.. E2. and E1cB reactions Functional group transformations and their reaction mechanisms Suggested Reading: • • • • • Clayden. J. C. A. Cengage Learning. 2008. T. A guide book to mechanism in organic chemistry. SN2. 2001. B. R. P. N. Organic Chemistry. Sykes.. J. 2008. (1) CHM 213: Organic Chemistry Lab . Organic Chemistry. S. neighbouring group participation. elimination reactions: E1.• substitutions: SN1. M... Longman. Oxford University Press. 2006. Pearson Education. Greeves. Wothers. R. John Wiley and Sons.I Suggested Experiments: • • • • • • • • Calibration of melting point apparatus thermometer Hydrolysis of ester: Preparation of salicylic acid from methyl salicylate Etherification of alcohol: Preparation of 2-ethoxynaphthalene Preparation of amide: Synthesis of acetanilide from aniline Oxidation of olefin with KMnO4: Preparation of adipic acid from cyclohexene Reduction of ketone: Preparation of benzhydrol by NaBH4 reduction of benzophenone Aldol reaction: Preparation of dibenzylideneacetone Electrophilic aromatic substitution: Nitration of acetanilide Page | 61 . N. Organic Chemistry.. 6th. G. S. Kc and Kx. Oxford Press. Page | 62 . interrelations between Kp. Oxford Press. Physical Chemistry. 2004. de Paula.. McGraw Hill. Ed. First Law of thermodynamics. Ideal and non-ideal solutions. J... 2009. free energy. Physical Chemistry. W. 2009. R. 9th. Narosa Publishing House. 3rd. (3) CHM 222: Classical Thermodynamics Zeroth law of thermodynamics and concept of temperature. Berry. Claussius-Clayperon equation. Ed..• • • • • • Nucleophilic substitution reactions: The effect of substrate structure on the reactivity under SN1 and SN2 conditions Preparation of pyridinium chlorochromate (PCC) Beckmann rearrangement: Preparation of benzanilide from benzophenone oxime Esterification of an aromatic acid. W. second law of thermodynamics and concept of entropy. Castellan. Ross. 2nd. I.. Synthesis of an azo-dye. phase transitions in onecomponent systems. Colligative properties. P. 2000. Physical Chemistry. chemical equilibrium. Phase rule. Raoult’s law and Henry’s law. Ed... Rice. S. Levine. effect of temperature and pressure on equilibrium constant. A. third law of thermodynamics. criteria for equilibrium and stability. Dakin oxidation of an aromatic aldehyde. J. Ed. Suggested Reading: • • • • Atkins. Physical Chemistry. reducible Page | 63 . relations between symmetry elements and operations. (4) CHM 301/641: Symmetry and Group Theory Molecular Symmetry: Symmetry elements and symmetry operations. similarity transformation. Products of symmetry operations. classes of symmetry operations. First order kinetics – Acid hydrolysis of methyl acetate (at 40°C) taking different concentrations of [H+] ions.CHM 224: Physical Chemistry Laboratory I Suggested Experiments: • • • (1) • • • • • • Determination of acid dissociation constant (pKa) of (A) polybasic acid (H3PO4) (B) Monobasic Acid (CH3COOH) Acidic and basic dissociation constants of glycine and its isoelectronic point Determination of dissociation constant and equivalent conductance at infinite dilution of weak electrolyte (acetic acid) using conductometry Kinetics of saponification of ethyl acetate using conductometry Kinetics of the iodide-hydrogen peroxide clock reaction Potentiometric Titration of a standard solution of KCl against AgNO3 – Determination of solubility product of AgCl Potentiometric Titration of a standard solution of AgNO3 against mixture of halides – Determination of concentration of two salts in a given mixture First order kinetics – Acid hydrolysis of methyl acetate (at 30°C) taking different concentrations of [H+] ions. examples. symmetry elements and optical activity. point group and classification. Some properties of matrices. definition of group and its characteristics. representation of groups. classes. degenerate point groups. Conventions regarding coordinate system and axes. subgroups. examples. e. F. Molecular Vibrations: Normal Mode analyses via IR and Raman spectroscopy. Page | 64 . Wave functions as basis for irreducible representations (p.g. the great orthogonality theorem. delocalization energies. Cotton. MO theory for ABn. A. carbocyclic systems. Applications: Symmetry Aspects of Molecular Orbital Theory: General Principles.g. more general cases of LCAO-MO bonding. vibronic coupling. three centre bonding. hybrid orbitals as LCAO. 3rd edition. resonance energies and aromaticity.and irreducible representations. Huckel Molecular orbital theory systems. spectral transition probability. Hybrid orbitals and Molecular orbitals: transformation properties of atomic orbitals. vanishing integral. electronic spectra of inorganic complexes and ions. the bond order (p) and free valence number (F). 1990. Symmetry adopted linear combinations: Projection operators and some examples. symmetry factoring of secular equations.. Suggested Reading: • Chemical Applications of Group Theory. benzene and naphthalene. Splitting of one electron level in an octahedral and tetrahedral environment. e. position vector and base vector as basis for representation. examples. Wiley InterScience. π-orbitals for the cyclopropenyl group etc. Selection rules. π-systems and conjugated π-systems.and d-orbitals) direct product. hybridization schemes for bonding and for π bonding. New York. molecular orbital theory for regular octahedral and tetrahedral molecules. character tables. Group Theory and Chemistry. ortho-metallation. Kinetic aspects: reaction and aquation rates. properties of lanthanides and actinides. L. Symmetry and Spectroscopy of Molecules. isolobal and isoelectronic analogies. Chemistry of Lanthanides and Actinides: Electronic configuration. Reaction mechanism in inorganic reactions. C-H activation. 2001. Nephelauxetic effect. New Age International (P) Ltd. Thermodynamic aspects of coordination complexes. Electronic configurations and states. Orgel and Tanabe-Sugano diagrams. 2004. Organometallic chemistry: 18e rule and its exceptions. R. Applications of CFSE. New York. John Wiley & Sons. India. Factors affecting ligand field stabilization energies. Trans effect. First row transition elements. Dover Publications. Irving William series. England. John Wiley & Sons Ltd. soft Page | 65 . 2nd Edition. K. M. 2010. Bishop. Carter. 2005. chemistry of uranium compounds. Vincent. free-ion term. colour and magnetism. heavy transition elements. India. agostic interactions. types of ligands. Molecular Symmetry and Group Theory. M-M bonded complexes.• • • • Molecular Symmetry and Group Theory. Symmetry orbitals and bonding in transition-metals complexes: L-S coupling for dn states. JahnTeller distortion. σ and π bonding. D. Synthesis of trans-Uranic elements. (4) CHM 302: Chemistry of Transition Metals Coordination Chemistry: Coordination number and stereochemistry of coordination complexes (coordination number 2-9). 1993. Charge-Transfer bands. Redox reactions. the group state and energy levels. electron transfer reactions. splitting of one electron levels in an octahedral and tetrahedral environment. A. Stereochemistry of nonrigid and fluxional molecules. Veera Reddy. W. E. oxidative addition. W. Essential Trends in Inorganic Chemistry. NY. 4th Edn. Advanced Inorganic Chemistry. New York 2010. D. J. Chemistry of the Elements. Keiter. L. Harper-Collins. B. dioxygen binding. M. 2007. transport. Neel and Curie Temperature. Pergamon. bonding and reactivity studies of metal carbonyls. Jolly. OUP.vs hard ligands. C. D. 1st Edn. Suggested Reading: • Inorganic Chemistry-Principles of Structure and Reactivity. Concepts and Models of Inorganic Chemistry. New York. Oxford University. and utilization. A. Keiter. Oxford. Inorganic Chemistry. F. Alexander. McGrawHill. N. organometallic complexes with metal-metal bonds. Murillo. Inorganic Chemistry of Biological Systems: Essential and trace elements in biological systems. • • • • • • • Page | 66 . 1991. M. Day. 3rd Edn. D. 2nd Edition. L. nitrosyls. G. NY. Cotton. A. 1989. C. 1995. 2nd Edn. R. Wilkinson. John Wiley and Sons Press. Mingos. Molecular Magnetism: Paramagnetism. Douglas. Shriver. Atkins. 1993. 1993. Bochmann. N. Diamagnetism and Ferromagnetism. dinitrogen complexes. McDaniel. Huheey. 3rd Edn. Theoretical Inorganic Chemistry. 3rd Edn. John Wiley. Modern Inorganic Chemistry. reductive elimination reactions. A. and P. India. Oxford. Greenwood. E. M. Magnetic Susceptibility. East-West Press. Homogeneous and heterogeneous catalysis. A. Structure. 1999. J. metalloporphyrins. energy sources for life. F. P. and Earnshaw. Ltd. G. Synthesis.Wulfsberg. New York. C. IUCr Monograph. and metallation of a bio-inorganically important porphyrin ligand Organometallic synthesis: Synthesis of ferrocene NMR spectroscopic investigation of molecular fluxionality: Case of an allyl-palladium complex Synthesis and electrochemistry of [Ru(bpy)3]2+. W.-K. W. India. Li. OUP.-D. recording and indexing of PXRD patterns of simple cubic solids.• • Inorganic Chemistry. Preparation. (4) CHM 311: Organic Chemistry I Stereochemistry: Page | 67 .T. Viva Books P. Mak. The effect of symmetry on the infrared spectrum of the sulphate group Synthesis and catalytic application of a solid acid. 12Tungstosilicic acid. 2008. 2010. Synthesis of 123-superconductor. (3) CHM 304: Inorganic Chemistry Laboratory Suggested Experiments: • • • • • • • • • • • Determination of spectrochemical order of ligands by using electronic spectroscopy of Nickel(II) coordination complexes. G. Demonstration of cis-trans isomerisation in coordination chemistry: Case of Cobalt(III) complexes Chemistry of a five-coordinate d1 complex: Case of V(O)(acac)2. Zhou. Advanced Structural Inorganic Chemistry. purification. etc.). Wolff. Oxidation at unfunctionalized carbon Reductions: 1. Sigmatropic rearrangements (Cope. conformation of acyclic. KMnO4. aza-Cope. diimide reduction) and other selected functional groups 2. aza-Wittig) 2. reductive deoxygenation). peroxide and peracid. Claisen. Reduction of carbonyl compounds (hydrogenation. OsO4. Oxidation of C-C double bonds (Ozone. vinyl cyclopropane-cyclopentene) 3. Favorskii). and radical rearrangements (Wittig. hypervalent iodine based. nucleophilic (benzilic acid. 2-sulfonyl oxaziridine etc. Hofmann. Oxidation of alcohols.Conformational analysis. Oxy-Cope. Dissolving metal reductions Page | 68 .2 and A1. CurtinHammett principle Rearrangement Reactions: 1. sulphur based. Pb(OAc)4.) 2. Curtius. Eschenmoser-Claisen. cyclic. Miscellaneous (Brook. aza-Claisen. ketones and aldehydes (transition metal oxidants. Pummerer) Oxidations: 1. Baeyer-Villiger. Electrophilic (Beckmann. Pinacol-pinacolone. WagnerMeerwein etc.3) • Dynamic stereochemistry: Conformation and reactivity. Dimethyldioxirane. carbon-carbon multiple bonds (catalytic hydrogenation. reductions using group III and IV hydride donors. Lossen. fused and bridged systems • Strain in cyclic and acyclic molecules including allylic strain (A1. Schmidt.) 3. Julia and Peterson) and cyclopropanation reaction 4. Organic Chemistry. Dougherty. HWE. S. Springer. Introduction to Pericyclic reactions Page | 69 . P. Part A and B. S. Wiley Interscience. E. B. J.Heterocyclic Chemistry: 1. Other classes (via organo silane. University Science Books. 2001. Radical reactions 5. R. Advanced Organic Chemistry. John Wiley and Sons. Modern Physical Organic Chemistry. 2007. D. cuprate and other conjugate reactions 3. J. Doyle. 2007. Grignard. Carey. Wothers.. M. A.. Synthesis and reactions of heterocyclic compounds (in brief) Suggested Reading: • • • • • • Clayden. Baylis-Hillman reaction) 6. Smith. Greeves. H. (4) CHM 312: Organic Chemistry II Carbon-Carbon Bond Forming Reactions: 1. S.. F.. Organic Chemistry. Eliel. General overview and nomenclature of heterocyclic compounds (structure of 3 to 7 membered saturated and 5. Wilen. 2006. E. N. J. enamine and imine chemistry 2. Cengage Learning. Advanced Organic Chemistry. 2005. Olefination (Wittig.. A. and March. V. Hornback. Sundberg. Anslyn. via enolate. M. M. borane and tin based reagents. Basic Organic Stereochemistry. Warren. Oxford University Press.. J. L. 2001.6 membered aromatic heterocycles) 2. Sundberg. Page | 70 . N. Part A and B.. S. B. Carruthers. I. W.. 2007. M. Carey. F. S. Wiley. Coldham. Warren. etc. Wothers. Organic Synthesis: The Disconnection Approach. R. Advanced Organic Chemistry. J. McGraw-Hill.) Introduction to Retrosynthesis: • Basic concepts of retrosynthesis • Demonstration of its utility with few examples Suggested Reading: • • • • • • Clayden. 2007. J. and March. Shi. Jacobsen. S.. Organic Synthesis. Springer. Oxford University Press.Enantioselective Reactions: • Principles of enantioselective reactions • Enantioselective reduction of carbonyl compounds (Corey’s oxazaborolidine catalyzed reductions and Noyori’s BINAP reduction) • Enantioselective epoxidation of olefins (Sharpless. Wiley Interscience. 2004. 1983. A. 2001. Smith. Cambridge University Press. Organic Chemistry. (3) CHM 313: Organic Chemistry Lab-II Suggested Experiments: • Preparation of Corey-Bakshi-Shibata (CBS) reagent and enantioselective reduction of a carbonyl compound. Smith. Greeves. M.. Warren. Some Modern Methods of Organic Synthesis. Advanced Organic Chemistry. B.. J. 2001. Preparation of a Wittig salt and olefination of a carbonyl compound Preparation of Evans chiral auxiliary and its use in asymmetric aldol reaction Preparation of a Grignard reagent and its addition to a carbonyl compound Generation and trapping of benzyne Generation of a carbene: The Reimer-Tiemann reaction The Fischer indole synthesis Sonogashira/Suzuki/Heck coupling reaction Olefin metathesis (using Grubbs 1st generation catalyst) Baylis-Hillman reaction Synthesis of L-Prolinamide ligands Synthesis of BINOL Synthesis -nitro styrene (Henry reaction)of Ugi multicomponent coupling.• • • • • • • • • • • • • • Preparation of pentacyclic dione via Diels-Alder and photochemical cyclizations. Nernst equation. mass transfer controlled reactions. overview of electrode processes. (4) CHM 321: Physical Chemistry of Solutions Phase transitions in multi-component systems. Ionic solutions: Mechanism of electrolysis and Faraday’s laws. Conductance. coupled chemical reactions. degree of dissociation. free energy and activity. Debye-Huckel limiting law. transport number. DebyeHuckel-Onsager conductance equation. solubility equilibria. electrolytic conductance. Electrochemistry: Electrochemical cells and reactions. electrical double layer. Faradaic reactions. Butler-Volmer model. solvation of ions. Page | 71 . basics of electrochemical thermodynamics. Levine. reversible and consecutive reactions. commutation relations. Bockris and Amulya K. Arrhenius equation. unitary transformations and change of basis. Keith J. transition state theory. P. Plenum Press. Matrix representation of operators. Samuel Glasstone. Reddy. Gilbert W Castellan. kinetics of zero. Concept of steady state and its application.. Physical Chemistry. 2009. J. Postulates of quantum mechanics: States and wavefunctions. Allen J Bard and Larry R. Oxford Press. 9th. Born interpretation of wavefunction. first and second order reactions. Mathematical background: Operators in quantum mechanics and their properties. 2nd Edition. Lindemann hypothesis. (4) • CHM 322/642: Principles of Quantum Chemistry Review of basic concepts of quantum theory: wave-particle duality and de Broglie wavelengths. Suggested Reading: • • • • • • Atkins. 2nd Edition. Laidler. Physical Chemistry. eigenvalues and eigenfunctions.Chemical kinetics: Order and molecularity. uncertainty principle.. observables and the measurement hypothesis. time evolution of states and the Schrodinger Page | 72 . Ed. Modern Electrochemistry Ionics: Volume 2. N. John O’M. Physical Chemistry. collision rate theory. superposition and state of a quantum system. Electrochemical Methods: Fundamentals and Applications. John Wiley and Sons. An Introduction to Electrochemistry. W. Ira N. Enzyme kinetics and catalysis. de Paula. Parallel. Faulkner. Chemical Kinetics. Quantum Chemistry. Definitions: Structures of Ionic Solids (crystal chemistry). Applications to conjugated molecules and other onedimensional systems. Quantum Chemistry. S. 2008. Ed. Zettili. John Wiley.equation.. Inorganic Solids). 2008. Probability currents and the equation of continuity. Linear harmonic oscillator – ladder operator method. (4) CHM 323: Solid State Chemistry General Concepts. D. 2nd. Pearson Press. Oxford University Press. Two and three-dimensional potential wells and degeneracy..He atom. Variational theorem . 2009. R. Atoms in external fields: Zeeman and Stark effect. The hydrogen atom: Atomic orbitals – radial and angular wavefunctions and distributions. H2+ molecular ion. Quantum Mechanics. angular momentum eigenvalues and eigenfunctions. H2+ molecule and the LCAO approach. One-dimensional problems: Particle in a well and transmission through a barrier.. Approximation methods: Time-independent perturbation theory – Anharmonic oscillator. Rigid rotor problem. 2009. Molecular Quantum Mechanics. He atom. P. Friedman. N. parity of harmonic oscillator eigenfunctions. Hydrogen-like atoms. Ed. Atkins. 6th. nonPage | 73 . A. compatible observables and the generalized uncertainty principle.. Ed. 2nd. I. angular momentum. Metals and Alloys. stationary states.. W. Band Theory in Solids (Metals. Virial theorem and application to hydrogen atom and other problems. electron-spin and spin operators. crystal defects. University Science Books. McQuarrie. Suggested Reading: • • • • Levine. Semiconductors. Ionic Conductivity and Solid Electrolytes: Conduction Mechanisms. Magnetic. 2001. microscopic and spectroscopic) techniques. Silver. Ferroelectric and superconductivity. G. Kapustinskii’s equation. bond valence. Ubbelohde’s Classification (continuous and discontinuous). 1997. Lattice Energy. Bond Energy and Bond Order calculations. batteries. solid solutions. kinetics. 2nd edition. Ionicities. Applications to electrochemical cells. Effective nuclear charge. MooserPearson plots. Gopalakrishnan. S. bond length. Martensitic. Page | 74 . Cambridge University Press. Structure and Bonding in Solids (Crystalline and Amorphous): Factors governing formation of crystal structures. Preparative methods: Oxides. critical size and nucleation rate. Avrami Equation.C methods). C. UK. dislocations and stacking faults. Cambridge University Press. and fuel cells. A. order-disorder transitions. Structure and Bonding in Crystalline Materials: Rohrer. Structure Property Correlation in Inorganic materials: Electronic. non-bonding electron effects. Conductivity measurements (D. and A. UK. sensors. Optical (Luminescence). Electrical.C.stoichiometric compounds. 1987. nitrides. N. Dielectric. fluorides and characterization of inorganic solids by different physical (diffraction. R. Alkali Halides. R. Sanderson’s Model. J. UK. New Directions in Solid State Chemistry: Rao. Lithium. Applications of G-T diagrams. John Wiley & Sons. Phase Transitions: Buergers’s (reconstructive and displacive). 1st edition. Suggested Reading: • • • Solid State Chemistry and its Applications: West. Oxide and Halide Ion conductors. Micelles and reverse micelles. J. colloids. 4th. Rice. polarizability. adsorption kinetics. thermodynamics of polymer solutions. W. J. Page | 75 .. G. 2nd. W. Dispersion forces. Conformational and Macrocyclic Effects. Physical Chemistry. hydrogen-bonding. A. Ionic Recognition (Cation and Anion Binding Host): Selectivity and Solution Behaviour of Crown Ethers. Berry. Surface phenomena. Collision theory and potential energy surfaces. Ion-Dipole. Ed. Alberty. R. 2009. and de Paula.. van der Waals forces. 2004. π-π. Receptors. Silbey. Spherands. Anion-π. Physical Chemistry. covalent interactions.. Concepts: Host-Guest Chemistry. capillary rise and basic applications. Ed. Oxford.. (4) CHM 341: Fundamentals of Supramolecular Chemistry Hydrogen Bonding and Nature of Supramolecular Interactions: Ion-Ion. P. M. R. Freeman. Physical Chemistry. multipole expansions. dipolar interactions. van der Waals. surface tension. S.. and Bawendi. Thermodynamic and Kinetic Selectivity. Suggested Reading: • • • Atkins.excluded volume.CHM 324: Physical Properties of Matter (4) Intermolecular forces . H. Chelate. electrostatic interactions. Ed. Pre-organisation and Complementarity. S. Close packing in Solid State and Hydrophobic Effects. J. Lennard-Jones potential and Morse potential. 9th. 2000. Langmuir. Dipole-Dipole. R. Wiley.. Cation-π. Transport properties. Coordination and the “Lock and Key” Analogy. Crytands. A. Freundlich and BET isotherms.. and Ross. Crystal Engineering: Concepts of Crystal Design and Growth. Liquid Crystals. Steed. Nucleophilic attack on isocyantes • Polymerization of olefins: radical polymerization. A. Rotaxanes and Helicates. VCH. Atwood. SN2 reactions. dimers. Anticrowns and Coordination Interactions. siderophores. L. (4) CHM 342: Macromolecular and Analytical Chemistry Part A: • Monomers. Applications to Polymorphism and Cocrystal formation. 1995. H. John Wiley and Sons. Isotactic. biological anion receptors. Concepts and Perspectives. J. anionic (living polymerization) and cationic polymerization.Complexation of Organic Cations. Electronic devices (switches. 2000.Yatsimirsky. John Wiley and Sons. Role of Positive Cooperativity. Principles and Methods in Supramolecular Chemistry. Self Assembly: Applications to Catenanes. and oligomers • Polymerization by carbonyl substitution reactions. W. Supramolecular Reactivity. Neutral Host Molecules: Inorganic Solid-State Clathrate compounds. clathrates of organic hosts. J. Suggested Reading: • • • Supramolecular Chemistry.-J. electrophilic substitutions. MOF’s. intracavity complexes of neutral molecules (Fullerenes and Cyclodextrins): Solution and Solid State Binding. Schneider. Dendrimers. Supramolecular Chemistry. Applications: Structure and function of DNA. Lehn. J. Page | 76 . -M. wires and rectifiers) and non-linear optical materials. . Crouch. Ziegler-Natta polymerization Co-polymerization: Synthetic Rubber. S. Warren. Skoog. Suggested Reading: • • Clayden.. Page | 77 . West. Volumetric and Titrimetric. polysaccharides. Holler. Organic Chemistry. S. and HPLC and related methods • Preparing samples for analysis: primary. Fundamentals of Analytical Chemistry. and Atactic polymerization. J. Oxford University Press. polyacryl amide gels Part B: • Calculations used in analytical chemistry • Errors in chemical analysis • Classical methods of analysis: Gravimetric. N. gas chromatography. Greeves. secondary standard etc. Cengage Learning. Wothers. peptide synthesis using polymer-bound reagents. Anomeric effects. (4) CHM 343: Chemistry of Biological Systems Part A: • Carbohydrates: Monosaccharide. • Amino acids and Protein structure • Fatty acid biosynthesis and degradation pathways • Introduction to metabolism and bioenergetics. Cross-linking polymer Biodegradable polymers Reactions of polymers: Merrifield resins.• • • Syndiotactic. Potentiometric methods • Separation techniques: Introduction to analytical separation. Mutarotation... 2001. Greeves. Page | 78 . Zn-containing redox enzyme. and Lubert Stryer Biochemistry (5th Edition) S. Suggested Reading: • • • Jeremy Berg. S. N. myoglobin. J.. Application of molecular orbital theory to polyatomic molecules (localized and delocalized orbitals).• • Oxidation and Reduction pathways in biological system. Warren. • Metal induced toxicity and chelation therapy: Platinum complexes and related anticancer drugs. Fluxional molecules. Walsh diagrams. Role of metal ion in biological functions... Berg Principles of Bioinorganic Chemistry University Science Books Clayden. Chemistry of Garlic and Onion Part B: • Elements of life. • Metal nucleic acid interactions. hemerythrin. Bent’s rule. Organic Chemistry. Cu. 2001. Chemical forces. hemocyanin. Berry pseudorotation. • Electron transport proteins: Iron-Sulfur proteins. John Tymoczko. • Oxygen carrier proteins. J. M. Oxford University Press.Structure and role of haemoglobin. J. Fe. S. • Redox enzyme: Mo. cytochromes. Atomic inversion. Metalloproteins and metalloenzymes. (4) CHM 401: Non-transition Metal Chemistry Concepts and principles of nontransition metal chemistry: An overview of bonding models in inorganic chemistry. Wothers. Lippard. sulfur-nitrogen compounds. stable heavier carbene analogues (Silicon. B-B. pseudorotaxanes. noble gases. Ge-Ge. Tin and lead): synthesis. CFC Inorganic rings and polymers: Borazines. Polysilanes. Se-Se. Ge-Sn. stability and activation of dinitrogen. boron nitride. grapheme. Multiple bonding in heavier main-group elements: Synthesis. stannoxanes and the polymers derived from them. heterocyclophosphazenes. siloxanes. silicates and aluminosilicates. multiple bonding in heavier main group elements. chemistry of chalcogens. rotaxanes. push-pull carbenes. structure and reactivity. organosilicon compounds. borylene. Chemistry of carbenes. Germanium. aminoboranes. organoaluminium compounds. Page | 79 . Structurally diverse π-cyclopentadienyl complexes of the main group elements. characterisation and reactivity. CNT. zeolites. Si-S). silylenes and R3Si+. Interlocked macromolecules: catenanes. periodic anomalies of the nonmetals. pseudohalogens. Se-P. Representative chemistry of s. phosphorus oxides. polychalcogenides. P. phosphines. diamond. Periodicity. boron clusters.orbital participation in nonmetals. As and Sb.The role of p. carboranes. Element-Element Addition to Alkynes (Si-Si. oxygen activation. boranes. Sn-B. oxyacids. SB. Si-B.and p-blocks: alkali metals. Wade’s rules. Main group organometallic chemistry: Preparation. fullerene. graphite. halogens. singlet and triplet oxygen. charge transfer complexes. S-S. metallacarboranes. interhalogens. stability aspects and reactions. anion chemistry of N.and d. multinuclear NMR of various inorganic and organometallic compounds. Huheey. 1993. NOESY. A. Infrared Spectroscopy: Introduction. 3rd Edn. D. Oxford. Keiter. 2nd Edn. Bochmann. Inorganic Chemistry. and Earnshaw. A. identification of functional groups. Douglas. INADEQUATE. Modern Inorganic Chemistry. W. Cotton. 1995. R. (4) • • • • • • CHM 402/602: Applications of Modern Physical Methods UV-Vis & NIR Spectroscopy: Introduction. John Wiley and Sons Press. Pergamon. Shriver. HETCOR. L. Keiter. ROESY. Advanced Inorganic Chemistry. 1989. J. metal-ligand vibrations. Page | 80 . F. Journal articles. Murillo. W. Techniques in the structural determination of complex organic systems. McDaniel. and P. 1st Edn. E. 3rd Edn. HSQC. HMBC. John Wiley. 1993. 3rd Edn. Chemistry of the Elements. D. L. E. G. Alexander. TOCSY). Jolly. Wilkinson. NY. principles and applications. N. A. application in conformational analysis. HMQC. 1991.Suggested Reading: • Inorganic Chemistry-Principles of Structure and Reactivity. F. Oxford University. 4th Edn. J. Oxford. New York. Harper-Collins. hydrogen bonding. Atkins. NY. 1999. Concepts and Models of Inorganic Chemistry. applications of 1H and 13C NMR spectroscopy including (COSY. A. B. C. Greenwood. M. McGrawHill. N. Nuclear Magnetic Resonance Spectroscopy: Introduction. Thermospray. Friebolin. C. isomer shift. Basic one and two-dimensional NMR spectroscopy. John Page | 81 . H. CV. Laser desorption. APPI. radicals containing single and multiple set of protons. spectral line shape. photosynthesis. API. Spectrometric identification of Organic Compounds. rare earth ions. Suggested Reading: • • • NMR Spectroscopy – An introduction. Applications of CV in organic and inorganic chemistry. thermal decomposition. ESI. Biological applications: Substrate free radicals. 5th Ed. 1980. Applications: solid-state reactions. Electrochemical Methods: Heterogeneous electron transfer and concept of capacitative and Faradic current. powders and in nonoriented solids. APCI. ions in solid state. isotope effects. Field Ionization. John Wiley. electron transfer. ligand exchange. C. Silverstein. magnetic hyperfine interaction. DPV and coulometry. iron-sulfur proteins. spin labels. G. FAB. Gunther. VCH. isomerism and biological applications. MALDI. triplet ground states. Analysis of EPR spectra of systems in liquid phase. ionization methods ((EI. Mossbauer Spectroscopy: Physical concepts. Mass Spectrometry: Basic concepts. Plasma desorption. Double resonance techniques: ENDOR in liquid solution. heme proteins. CI. instrumentation. quadrupole splitting. Bassler and T. inorganic ionization techniques).Electron Paramagnetic Resonance Spectroscopy: Theory. M. H. Field desorption. 1991. fragmentation and rearrangements (McLafferty rearrangement) of different classes of organic molecules. Cyclic voltammogram. R. flavins and metal free flavin proteins. Atmospheric pressure secondary ion mass spectrometry. Transition metal ions. Morrill. Interpretation of Mossbauer parameters of 57Fe and 119Sn.. (4) CHM 411/611: Physical Organic Chemistry Chemical Equilibria and Chemical Reactivity: • Thermodynamic and kinetic control of reactions • Correlation of reactivity with structure. R. Principles of Fluorescence Spectroscopy. New York. 1994. Bolton. Eds.1991. substituent constants and reaction constants Chemical Kinetics and Isotope Effects: • Various types of catalysis and isotope effects. Lackowicz. C. E. Electron Paramagnetic Resonance. New York. J. Florida. New York 1983. Wiley-Interscience. New York. John A.. Nakanishi. Plenum Press. A.. Weil. M. Baird and L.. R. Scott. importance in the elucidation of organic reaction mechanisms Stereoelectronic Effects in Organic Chemistry: • Role of stereoelectronic effects in the reactivity of acetals. Lukehart. Electrochemical methods – Fundamentals and applications. Curtin-Hammett principle. Wiley. Berova. E. J. W. Applications of Physical Methods to Inorganic and Bioinorganic Chemistry. Hammond’s postulate. V.• • • • • • Wiley & Sons. A. D.. and Wertz. CRC Press. Boca Raton. R. Inc.. Faulkner. 1994. Circular Dichroism: Principles and Applications. amides and related functional groups Page | 82 . Elementary theory and Practical Applications. Ebsworth. A. Cradock. esters. K. Woody. 2nd Ed. Rankin & S. H. R. W. Wiley. linear free energy relationships. N. VCH Publishers. 2007. Structural Methods in Inorganic Chemistry. J. 1980. 1991. J. D. 2007. V. A. R. electrocyclizations.. E.. Turro. Woodward. F. Woodward-Hoffmann rules. 1996. Dougherty. Advanced Organic Chemistry. A.2 and A1. Part A and B. University Science Books. and sp carbons. Deslongchamps.. Verlag Chemie. Academic Press. Marchand.. Zimmerman-Traxler. 1991. Norrish type I and II reactions Suggested Reading: • • • • • • • Isaacs. Stereolectronic Effects in Organic Chemistry. Felkin-Ahn. Physical Organic Chemistry. J. exterior frontier orbital extension (EFOE) and cation-complexation models as applied to π-facial stereoselectivity Allylic strain (A1.3) and other strains Pericyclic Reactions: • Conservation of orbital symmetry.• • Reactions at sp3. frontier molecular orbital (FMO) theory • Orbital overlap effects in cycloadditions. J. 1983. S. 1972. Legendre transforms and derivative Page | 83 . B. Cram. P. Lehr. (4) CHM 421/621: Statistical Mechanics Review of classical thermodynamics: Laws of thermodynamics and thermodynamic potentials. 2005. Anslyn. N. Orbital Symmetry: A Problem Solving Approach. sigmatropic rearrangements and chelotropic reactions • Paterno-Buchi. sp2. Cieplak. R. Sundberg. Carey. Springer. Houk. E. R. Modern Molecular Photochemistry. The Conservation of Orbital Symmetry. R. N. University Science Books. 1970. Hoffmann. P. Modern Physical Organic Chemistry. Elsevier Science. A. Prentice Hall. A. Dover. Elementary probability theory: Definition of probability. classical limits of quantum systems. B. Fundamental principles of statistical mechanics: Macroscopic and microscopic states. partition functions.relations. 2000. H. University Science Books. chemical equilibrium in ideal gas mixtures. conditions of thermodynamic equilibrium and stability. distribution functions and moments. average.. D. An Introduction to Statistical Thermodynamics. fundamental postulates of statistical mechanics.. Gibbs paradox. 1987.. statistical concept of uncertainty. distribution function of ideal Bose and Fermi gases. McQuarrie. blackbody radiation. diatomic and polyatomic gases and calculation of partition functions. heat capacities of solids (Einstein and Debye models).and para-hydrogen. Suggested Reading: • • • Callen. T. Ed. Page | 84 . Wiley. Thermodynamics and an Introduction to Thermostatistics. variance and binomial distribution for large numbers and central limit theorem. heat capacities of gases. relation between partition functions and thermodynamic quantities in different ensembles. Hill. ortho. entropy and Boltzmann distribution law. 1985. Statistical Mechanics. 2nd. equipartition theorem and the Maxwell velocity distribution. statistical mechanical ensembles and their distribution functions. photon and phonon gas systems of quantum particles and concept of different populations (BoseEinstein and Fermi-Dirac statistics). L. and fluctuations. Ideal systems: Monatomic. Introduction to Modern Statistical Mechanics. ButterworthHeinemann.. diatomic molecule as the non-rigid rotor. selection rules for vibrational. 2nd. vibrational spectra of diatomic molecules. K. selection rules for Raman scattering. BornOppenheimer approximation. Statistical Mechanics. (4) CHM 422/622: Molecular Spectroscopy Basic Concepts: Nature of the electromagnetic spectrum. applications of IR spectroscopy in structure elucidation. Fermi-Golden rule. characteristic parameters of Raman lines. rotation-vibration spectra of diatomic molecules and calculation of molecular parameters. Infrared Spectroscopy: Mechanism of IR absorption. 1987. Raman Spectroscopy: Classical and quantum approach of Raman scattering. Raman spectra of diatomic molecules and Page | 85 . Statistical Mechanics: A Concise Introduction for Chemists. width. energy levels of rigid and harmonic oscillator. rotational spectra of diatomic molecules and calculation of molecular parameters. B. Cambridge University Press. Lambert-Beer law. rotational and electronic transitions and connection to symmetry. Interaction of radiation with matter: Time-dependent perturbation theory – transition amplitudes. qualitative treatment of rotational spectra of polyatomic molecules.. isotope effect. Oxford University Press.. diatomic molecule as a rigid rotor. Ed.• • • Widom. Pathria. R. Fermi resonance. Microwave Spectroscopy: Moments of inertia of molecules. Chandler. diatomic molecule as an anharmonic oscillator. D. various vibrational modes in polyatomic molecules. 2002. 1996. frequency shifts because of substitutions. dipoles and rates. shape and intensity of spectral lines. effect of electron density. Nuclear Magnetic Resonance Spectroscopy: Nuclear spin and magnetic moment. Symmetry and Spectroscopy: An Introduction to Vibrational and Electronic Spectroscopy. selection rules. Harris. 1980. vibrational Raman spectra of polyatomic molecules and some applications. Engel.. concept of lifetime and Einstein’s spontaneous emission coefficients. Fundamentals of Molecular Spectroscopy. Dover. ring currents. Academic Press. B. Becker.. M. C. Pearson Education. M. Atkins. 2009. spin-spin coupling. Quantum Chemistry and Spectroscopy.. D. J. C. Einstein’s coefficients and their relation with transition moment integral. Oxford Press. Electronic Spectroscopy: Electronic spectra of diatomic molecules. isotope effect. symmetry properties and selection rules. classical and quantum mechanical description of the origin of NMR. 1989. and Bertolucci. J. 2007.calculation of molecular parameters. Ed.. Dover. Wilson. theory of absorption and emission. D. and Cross. E.. High Resolution NMR: Theory and Applications. C. vibrational progression. 2007. E.. lanthanide shift reagents. coupling between groups of equivalent nuclei. N. • Page | 86 . 9th.. P. Suggested Reading: • • • • • Banwell. Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra. W. P.. E.. vibrational coarse-structure.. Decius. Frank-Condon principle and its consequences. magnetic anisotropy.. Physical Chemistry. Tata-McGraw Hill. concept of chemical shifts. T. de Paula. D. McCash. 1991. . S. 2000. Ross.System and Calculation of the Diffusion Coefficient of the Ion for the Given System Page | 87 . Berry. R. Ed. J. I. Oxford Press.• • Steinfeld. Ed. 2nd. Dover. (3) CHM 423: Physical Chemistry Lab II Suggested Experiments: • • • • • • • • • • To Verify the Freundlich and the Langmuir Adsorption Isotherms Determination of Fluorescence Quantum Yield of an Unknown Compound Using a Standard Fluorophore Determination of Critical Micelle Concentration of Sodium Dodecyl Sulphate by Fluorimetry and Correlation by Conductometry Determination of Average Molecular Weight of Polystyrene from Viscosity Measurements To determine the formula and stability constant of a complex by spectrophotometery Determination of the solubility curve for a ternary system of two non-miscible liquids and a third liquid which is miscible with each of them Determination of the solubility of benzoic acid between 25oC and 60oC and calculate the heat of solution Calibration of a given burette Determination of the variation of miscibility of phenol in water with temperature and estimating the Critical Solution Temperature To Study the Nature of the Cyclic Voltammogram for a One Electron Transfer [FeIII(CN)6]3-/[FeII(CN)6]4. 2005. A.. S. Physical Chemistry. 2nd. J. Molecules and Radiation: An Introduction to Modern Molecular Spectroscopy... Rice. Macyk. G. nitrosyls. and mimics Recent applications of transition metal catalysts.. Carbenes. Artificial photosynthesis. olefin metathesis. phosphines and Alkene complexes of transition metals Photochemistry of transition metal complexes: Photosensitization. 1994. Electron transfer reaction and metal-organic frameworks. photogalvanic cells and photocurrent generation and dye sensitized solar cells.. West Sussex. Dynamic NMR of Carbonyls. J. Wiley. Szacilowski. S. spectra and magnetism of coordination compounds. 2009. M. Berg. Stochel.Grubbs catalyst. Stasicka. Lippard. Brindell. University Science Books.. Dioxygen binding.CHM 602: Applications of Modern Physical Methods See contents of CHM 402 CHM 603: Advanced Inorganic Chemistry • • • • (4) (4) • • • • • Brief discussion on bonding. Bioinorganic Chemistry.. Water splitting reaction using coordination compounds. Suggested Reading: • Bioinorganic Photochemistry. W. UK. J. M. Pd catalysts. K. Discussion on above mentioned topics with relevance to the recent literature. California. orthometallation and their applications (from literature) Fluxional molecules.. Agostic interaction. • • Page | 88 . Outer-sphere mechanism C-H Activation. Nitrogen fixation. Z. I. role of manganese in water splitting. oxygen carriers. NO-synthase. M. environment. DMSO reductase. Page | 89 . dehydratase. Specific examples: Hemoglobin. J. Nitrophorin. Ferritin. auto exhaust. Gray. cytochrome-C oxidase. B. Nickel containing F-430. Other enzymes like. J. methane monooxygenase. dioxygenases. J. Mo=S complexes as anti-cancer drugs. University Science Books. 1994. J. Suggested Reading: • • Principles of Bioinorganic Chemistry. Transition metal ions in biology. tungsten containing formate dehydrogenase and tungsten bearing hyperthermophilic and thermophilic enzymes. Archaeal. DNA and RNA polymerases. 1998. Metallobiomolecules. H. peroxidase. Myoglobin. Eucarial and Bacterial domain. Hemrythrin cytochromes. Electron carriers. platinum complexes. inorganic chemistry in medicine. S. Environmental chemistry. Bioinorganic Chemistry. Cytochrome P-450. Zn enzymes like carbonic anhydrase. carboxypeptidase. cerulplasmin. nitrate reductase. Lippard. molybdenum containing oxidase and reductase class of enzymes like sulfite oxidase. enzymes. Fe-S proteins. Forensic chemistry. nitrogenase. Bertini. Active site analogue reaction models and structural models of these enzymes. Biochemistry of main group elements. catalase. arsenic and other heavy metal pollutions. Hemocyanin. blue copper proteins. S. 1st Edition. diand tri-copper proteins. S.CHM 605: Bioinorganic Chemistry • • • (4) • • • • Mineral Origin of life. hydrogenase. Lippard. Viva Books. xanthine oxidase. Valentine. Berg. Factors that affect intensities (Lorentz and Polarization corrections). Point Symmetry and Point Groups. Rietveld method in Powder diffraction. refinement by ∆F synthesis. Page | 90 . Interpretation of Intensity data. Electron density maps. Crystal structure determination: Asymmetric Unit. d-spacing formula (resolution). Friedel’s Law. Rfactors. Wyckoff positions.CHM 607: X-ray diffraction: Principles and Applications • (4) • • • • • • Symmetry in the Solid State: Unit Cell. Bravais Lattices (3D). and chemical formula. Crystal Systems. Theory of Structure Factors and Fourier Synthesis: Calculation of Structure Factor amplitudes (general formula and applications). Reflecting and Limiting sphere of reflection. Preliminary concepts on Crystals and X-rays Intensity and Geometric Data Collection and Reduction statistics. the physical interpretation of molecular (Bond lengths. unit cell contents. Anomalous Dispersion Structure Solution and refinement: Patterson symmetry. Wilson plot and absolute scale factor. Interference of Scattered Waves. Miller planes (crystallographic directions and multiplicities). Direct Methods. Thermal Motion. Space groups (equivalent points. Systematically absent reflections. Bragg’s Law. Scattering by an Atom and Crystal. crystal density. Least Squares Methods. Elements of X-ray diffraction: Thomson and Compton Scattering. Reciprocal Lattice. Crystal lattices (2D). site occupancy factor). angles and torsions) and crystal structure (Packing Diagram). πacid effects). Related complexes with cyanide. Complexes with classic Lewis base donors: Amines. H. Giacavazzo. (c) Alkylidene Page | 91 . oxidative addition of non-polar and polar electrophilic reagents. oxidative addition (definition. Reactions of organometallic complexes: ligand substitution/ exchange/dissociation processes and thermochemical considerations. electron counting. transmetallation (definition. types of ligands and their properties. H. N.Suggested Reading: • • • • A Basic Course in Crystallography: J. Basics of Crystallography and Diffraction: C. isoelectronic and isolobal analogies. Reactions. structure and bonding. mechanism. phosphines and other related donors. Fundamentals of Crystallography: C. 18-e rule and its exceptions. reductive elimination (bite angle effects. catalyzed and assisted ligand substitution reactions. formal oxidation state. X-ray Structure determination: A practical guide: G. σ. common geometries for transition metal complexes (Crystal Field Theory.and π-bonding. insertion/de-insertion. MO description). Jensen. thermodynamic consideration). utility). nitrosyl. mechanism. (b) Metal alkyl complexes: Synthesis. Hammond. Stout and L. IR spectroscopy. K. R. Activation of C-H bonds. A. Tareen & T. (4) CHM 609: Transition Metal Organometallic Chemistry Structure and bonding: Brief overview of transition metal orbitals. Reactions. Complexes with metal-carbon σ-bonds: (a) Metal carbonyl complexes: Synthesis. Kutty. soft vs hard ligands. stability and structure. and dinitrogen ligands. nucleophilic and electrophilic attack on coordinated ligands. Reactivity. (d) Allyl and dienyl complexes: Synthesis. Bonding. (e) Arene complexes: Bis-arene complexes. Modern applications of organometallic chemistry: (a) Small molecule activation and functionalization: mechanistic and practical view.complexes: Synthesis. L. η2 to η4 coordinated arenes. 1st Ed. nitrido. The Organometallic Chemistry of the Transition Metals. Seven and eight-membered ring ligands... Metal complexes of π-ligands: (a) Alkene complexes: Synthesis. J. Suggested Reading: • Crabtree. Zigler-Natta polymerization. Structure and properties. Arene half-sandwich complexes.and alkylidyne complexes: Synthesis. CA. and reactions.R.S. Hegedus. Reactivity. bonding. and reactivity. structure and bonding.. Reactivity. Bonding. 2001. Principles and Applications of Organotransition Metal Chemistry. (c) Cyclopentadienyl complexes: Discovery of ‘sandwich’ complexes. Organotransition Metal Chemistry From Bonding to Catalysis..P. imido. spectroscopic and magnetic properties. • • Page | 92 . Wiley-Interscience: New York. structure. F. University Science Books: Sausalito. H. hydroazido. J. 1987. Norton.. Olefin metathesis. Substituted metallocenes. sulfido. Finke. University Science: Mill Valley. R. Reactivity. Properties of Cp complexes of 3d metals. Collman. structure and bonding. Metal-element multiple-bonded complexes: Oxo. 2010. (b) Alkyne complexes: Synthesis. 3rd Ed. J. Complexes with metal-metal multiple bonds: Synthesis.G. R. (b) Organometallic materials. Bonding. Half-sandwich complexes. CA. spectroscopy. Hartwig. (b) Bochmann. Atkins. Oxford University Press: Oxford. A. A. Oxford University Press: New York. 1994. J.. Inorganic Chemistry. 2nd Ed. 2nd Ed. A.. 1993. New York. G. 1987. Primary literature (journal articles). 1997. C. Cotton. 1999. 4th Ed. A. NJ.. Attwood. R.2nd Ed... R. J. Shriver. (a) Bochmann. 3rd Ed. F. Metal-Ligand Multiple Bonds.. R.. Mayer. E.. J. A. Jordan. Prentice Hall: Upper Saddle River.• • • • • • • • • • • Spessard.. Murillo. Keiter. Wiley-Interscience. M. 1994. A. Organometallics: A Concise Introduction. Springer Science Inc. 2005. C. Salzer. P. Miessler. W. C. Nugent. 1st Ed.O.. D. W. Huheey.. VCH Publishers Inc. Organometallics 1. Completely Revised and Extended Edition. Elschenbroich. Weinheim. 1992.. Organometallics.. 1996. Keiter. Oxford University Press: New York. Elschenbroich. G. 1998. HarperCollins: New York.A. Inorganic and Organometallic Reaction Mechanisms. 3rd Ed. 2006. Freeman: New York. VCH: New York. KGaA. H. Organometallics 2. Organometallic Chemistry. Reaction Mechanisms of Inorganic and Organometallic Systems...L. B. (4) CHM 611: Physical Organic Chemistry See contents of CHM 411 Page | 93 . M. Multiple Bonds between Metal Atoms.L.: New York. W.E. 3rd. Germany.Wiley-VCH Verlag GbmH & Co. Walton. D. Inorganic Chemistry: Principles of Structure and Reactivity. F. (b) multicomponent reaction (MCR). Warren. Page | 94 . 1983.CHM 612: Advanced Organic Chemistry II (Advanced Organic Synthesis) • • • (4) • • Reactions related to synthesis of 3 to 6 membered and higher carbocycles. importance of reactivity. 1995. Organic Synthesis: The Disconnection Approach.. E. use of functional groups as a guide for retrosynthesis. K. Wyatt. E. A. N. 2008.. relation between functional groups. Nicolaou. X-M. S. Concepts of atom. C. Classics in Total Synthesis. Miscellaneous reactions: (a) tandem/domino reaction. Snyder. S. Wiley-VCH. Wiley.. Warren. Organic Synthesis: Strategy and Control. Suggested Reading: • • • • • • Clayden. Sorensen. Organic Chemistry. Oxford University Press. Nicolaou. Wothers. S. Wiley-VCH. Wiley. Corey.. K. (c) remote functionalization.. step and redox economy. Classics in Total Synthesis-II. P. C. The Logic of Chemical Synthesis. J. regio and stereocontrol. Wiley.. 2007. S. 2001. Philosophy of synthetic design: Retrosynthesis. Total synthesis of natural products. Greeves. Cheng. S.. Warren. J. 2003. . Catalysis in Asymmetric Synthesis. C=C bonds) Asymmetric oxidation reactions (Dihydroxylations. 2005. A. 2004. Vol 3.CHM 613: Advanced Organic Chemistry I (Asymmetric Synthesis) • (4) • • • • • • • Concepts and principles of enantioselective and diastereoselective transformations (including Curtin-Hammet principle. Elsevier.. Desymmetrization reactions Introduction to Organocatalysis (Covalent and non-covalent catalysis) Suggested Reading: • • • • Walsh. C=N. enolate oxidations. chiral sulfoxides. Kvaermo. Advances in Asymmetric Synthesis. Carreira. • Page | 95 .. Resolutions (Kinetic.) Asymmetric reductions of C=C. epoxidations. E. C. Classics in Stereoselective Synthesis. H. Wiley-VCH. 2009. Dynamic Kinetic resolutions) Non-linear effects and autocatalysis. I.3-induction models) Asymmetric C-C bond forming reactions (Asymmetric alkylations. Berkessel. Parallel Kinetic. L. Groger. M. Hassner. Wiley-VCH. Ojima. 1999. C=O and C=N bonds. Kozlowski. A. J. University Science Book. etc.2-induction and 1. P. Wiley-VCH. Fundamentals of Asymmetric Catalysis. 2009. Asymmetric Organocatalysis: From Biomimetic Concepts to Applications in Asymmetric Synthesis. Asymmetric additions to C=O. 1. Transition metals in the synthesis of complex organic molecule. R. Page | 96 . H. Metathesis (concepts and catalysts. intramolecular insertions/ eliminations. ynemetathesis. (Editor) Handbook of Metathesis. nucleophilic/ electrophilic addition on coordinated ligands). Coupling reactions and their synthetic applications (C-C and CHeteroatom bond forming reactions). H. carbonylation. Hartwig. 2010 (3rd Ed).CHM 614: Advanced Organic Chemistry III (Organometallics) • • (4) • • • Concepts (Ligand systems. R. click chemistry. 2003. (Vol 1-3). oxidative addition/reductive elimination.). RCM. The organometallic chemistry of the transition metals. S. etc. J. L. Wiley-VCH. University Science Books. most recent advances in areas of organic chemistry will be discussed. 2005. Miscellaneous transition metal catalyzed reactions (C-H and CF bond activation. ene-yne metathesis and their applications). 2009 (1st Ed). Hegedus. ROM. Grubbs. Fundamental aspects (ligand substitutions. University Science Books. John Wiley. electron counting and chemical bonding). CM. Organotransition Metal Chemistry: From Bonding to Catalysis. (4) CHM 615: Frontiers in Organic Chemistry In this course. Suggested Reading: • • • • Crabtree. Brief introduction to Fischer and Schrock carbene complexes. H. hydrosilylation. Chemical environment and chemical shift. Analysis of high-resolution NMR spectra. Suggested Reading: • • • • • • Research article published in National and International journals. B.. Czako. W. HETCOR. TOCSY). Chemical shift and Spin-spin coupling as functions of structure. Nuclear Magnetic Resonance: Physical basis of Nuclear Magnetic Resonance spectroscopy.. FT and pulse-NMR. Classics in Stereoselective synthesis. Plasma desorption. Carriera. Laser desorption. Wiley-VCH. Ion sources (EI. ROESY. C. Wiley-VCH. Mass spectroscopy: Principles of Mass Spectrometry. C. Wiley-VCH. Strategic Applications of Named Reactions in Organic Synthesis. T. NOESY. Field desorption. Thermospray.. Modes of stretching and bending. ESI. E. FAB. Elsevier. A. M. Reed. S.. Wiley-VCH. (4) CHM 616: Spectroscopy and its Application to Organic Molecules Infrared spectroscopy: Theory of IR spectroscopy. NOE. Survey of important functional groups with examples. Snyder. K. E. L. HSQC. API. MALDI. Sorensen. Background spectrum. Kurti. K. HMBC. CI.The emphasis will be to discuss latest research papers and also those published in the last 5 years so as to give an in-depth exposure to the latest advances in organic synthesis. Field Ionization. Nicolaou. HMQC. Classics in Total Synthesis-II. L. Classics in Total Synthesis. INADEQUATE. The Way of Synthesis. Fourier Transform Spectrometers. Hudlicky. Nicolaou. Page | 97 .. 2D NMR (COSY. J. Kvaerno. Silverstein. 3rd Edition. Atmospheric pressure secondary ion mass spectrometry. Webster. Application of above techniques to organic chemistry and structural elucidation with exhaustive examples from latest publications. Orbitrap. Harald Gunther: NMR spectroscopy. Pavia. formation and fragmentation of ions. Misfolding. Aggregation. Kriz.their function and importance. inorganic ionization techniques. Mass analyzers (Quadrople. Protein. APPI.. 2nd Ed. David Kiemle: Spectrometric identification of organic compounds. Brookes Cole. 2009 Edmond de Hoffmann. ToF. Basics of Biology: Lipids. Page | 98 . Non-covalent interactions. concepts. James A. Vyvyan: Introduction to Spectroscopy. Wiley. 2005. Sugars . Basic principles.APCI. fragmentation reactions. 2008. Lampman. Elsevier. George S. DNA. and applications in chemistry. (4) • • • • CHM 617: Chemical Biology • • Introduction: What is Chemical Biology. Principles and applications. Ion cyclotron resonance and FT-MS. Francis X. Wiley. 2nd Ed. 4th Edition. Structure of peptides and proteins: Primary. Vincent Stroobant: Mass Spectrometry. 2007 Robert M. 2001 (reprint) Timothy Claridge: High Resolution NMR Techniques in Organic Chemistry. Ion trap. 7th Edition. Wiley. Gary M. secondary and tertiary structure. magnetic and electromagnetic analyzers). Suggested Reading: • Donald L. Folding. Hermanson. RNAi and its applications. Press. Principles of Fluorescence Spectroscopy. Greg T. siRNA. Joseph R. UV-Vis. Bioconjugate Techniques. DLS. Foundations of Chemical Biology. 2004. Dobson. Wiley. 2002. Wiley-VCH. Bioorthogonal ligations. Staudinger Ligation. NMR. Springer. MS. 2002. Gerrard & Pratt. Miller & Tanner. DNA chemistry and its uses: Molecular recognition of DNA. TEM.• • • • Microscopy and Spectroscopy in Biology: AFM. RNA. DNAbased architectures and DNA Nanotechnology. Recognition and modulation of DNA. Waldman & Janning. Chemical Biology: Learning Through Case Studies. and proteins with small molecules. Academic Press. Journal Articles Page | 99 . Suggested Reading: • • • • • • • Herbert Waldmann. Lackowicz. Fluorescence and Bioluminescence. 2006. Vesicles. Wiley-VCH. Chemical Biology: A Practical Course. Designing synthetic vectors for DNA and siRNA. Bioorthogonal Ligation techniques: Functional group specific ligation techniques. Site selective protein modification. Weinheim 2009. Strategies for attachment of synthetic molecules to biomolecules. Essentials Of Chemical Biology: Structure and Dynamics of Biological Macromolecules. SEM. Intein-mediated synthesis. Native Chemical Ligation. 2008. Differential Scanning Calorimetry. Natural and Synthetic Lipids: Natural and synthetic membranes. CD. Oxford Univ. CHM 621: Statistical Mechanics See contents of CHM 421 CHM 622: Molecular Spectroscopy See contents of CHM 422 CHM 624: Molecular Simulations • • (4) (4) (4) • • Introduction to scientific programming. approximate integration schemes. force calculations. Born-Oppenheimer approximation. ab-initio molecular dynamics. phase space distribution functions and the Liouville equation. techniques for energy minimization and normal mode analysis. simulation of bulk phases with continuous potentials. multiple time-steps. initialization and boundary conditions. Molecular Dynamics (MD): • Introduction to molecular dynamics. Concept of phase space. methods of constraints. Description of semi-empirical force-fields and parameterization. evaluation of thermodynamic and transport properties. Hellman-Feynman theorem. thermostats and barostats. • Extended Lagrangian. Page | 100 . statistical ensembles and averages. equations of motion. brief overview of molecular simulation methods and their application. brief overview of Hartree-Fock theory and the density functional theory. fluctuations. Methods for treating longrange Coulomb interactions. stability. potential truncation. potential energy surfaces. polymorphism. Academic Press. Smit. Ramachandran plot. and Gibbs ensemble). M. Allen and D. Monte Carlo simulation of monatomic fluids and complex molecules. Computer Simulation of Liquids. Markov chains and detailed balance. R.. 2004. conformational analysis. study of phase-equilibria.Monte Carlo (MC): • Introduction. • Extension to various ensembles (canonical. • Brief introduction to commercial simulation software. Further Advanced Topics and Applications: • Methods for calculation of free energy. Wiley. Suggested Reading: • • • • Molecular Modelling – Principles and Applications. Metropolis method. J.. Page | 101 . tertiary structure. Cramer. grand-canonical. 2002. 2nd Ed. 2001.1987. 2ndEd. importance sampling. Essentials of Computational Chemistry: Theories and Models.. combined quantum mechanical/molecular mechanical (QM/MM) methods. Tildesley. Frenkel and B. 2nd Ed. C. A. advanced sampling techniques and rare events. Understanding Molecular Simulations. P. coarse-graining and mesoscale simulation methods. D. (4) CHM 625: Biophysical chemistry Structure of Proteins and Nucleic Acids: Primary and secondary structure. solvation models for use with empirical potentials. Leach. structure of a nucleotide chain. isothermalisobaric. J. Prentice Hall. the DNA double helix model. Oxford. persistence length.. Kramer’s theory of crossing a potential barrier. 1999. helix-coil transition and the Zimm-Bragg model. Molecular and Cellular Biophysics. W. R. statistics of random coils. Dynamics of Biomacromolecules: Brownian motion and the random walk model. Serdyuk. use of FRET in understanding conformational dynamics. NMR in characterizing biomolecular systems. stabilizing forces in proteins and nucleic acids. 2006. Techniques to Study Structure-Function Inter-relationships: Applications of CD. hydrophobic and hydrophilic forces. Jackson. J. Daune.Methods in Molecular Biophysics: Structure. Suggested Reading: • • • Cantor. and Schimmel. allosteric transitions. Configurational Statistics of Biomacromolecules: End-to-end distance and radius of gyration of a polymer chain.. Molecular Biophysics: Structures in Motion. R. Dynamics. II and III). Principles of Fluorescence Spectroscopy. Biophysical Chemistry (parts I. J.Molecular Forces in Biological Structures: Electrostatic interactions.. Cambridge. P. H. Freeman. cooperativity in ligand binding and folding. M. friction and diffusion coefficients. Cambridge. rotational isomeric state model. Function. Langevin equation and time correlation functions. 2007. 1980. M. I. C. Fick’s law of diffusion. 2003.. Lakowicz. Zaccai. fluorescence. Plenum Press. Oxford. N.. steric interactions. N.. R.and Zaccai. B. ionic interactions.. hydrogen bonding interactions.. • • Page | 102 . choice of optical filters and various detector systems used. selection rules for energy transfer. Einstein induced absorption coefficient and integrated Einstein induced coefficients. Einstein’s induced and spontaneous emission coefficients. typical examples and choice of dyes Spectrophotometry and Fluorometry: principles and instrumentation. applications Radiationless processes: Mechanism for internal and intersystem crossing. kinetic parameters. applications Fluorescence quenching: Different mechanism of fluorescence quenching. Concept of Time Correlated Single Photon Counting: Basic principles and instrumentation Fluorophores and dyes used in spectroscopy: intrinsic and extrinsic fluorophores. time scales of molecular processes in solutions. Stoke’s shift. Jablonski diagram. derivation of the equation). effect of temperature of radiationless processes Phosphorescence: kinetic parameters. different methods of triplet-triplet absorption Fluorescence Anisotropy and its applications Resonance Energy Transfer: Different mechanisms of energy transfer (Forster and Dexter mechanism). choice of light sources. fluorescence quantum yield. relationship between lifetime and Einstein coefficients (Strickler and Berg’ equation) and its limitations. Page | 103 . protein labeling.CHM 626: Physical Photochemistry (4) Introduction to absorption: Lambert-Beer law and its deviation relation between molar extinction coefficient and absorption cross section. monochromators. non-vertical energy transfer. notation of energy levels and electronic transitions Fluorescence: introduction. Forster Resonance Energy Transfer (FRET). origin of triplet state and its formation. fluorescence excitation spectrum Effects of solvents on the fluorescence spectrum: (general effects and specific effects. California. Nature of Electrode-Solution Interface. Transition state theory. Characterization of Inorganic Complexes. R.. Scaiano. Cyclic Voltammetry. Chronopotentiometry. 3rd. Elsevier Publishing Company. “Photoluminescence of Solutions”. Parker. Supercapacitors and Batteries. Chronoamperometry. Faradaic Reactions. N. 2003. Liquid Junction Potentials. (4) • CHM 628: Electrochemistry: Fundamentals and Applications Introduction and Overview of Electrode processes: Electrochemical Cells and Reactions. A. C. Ed. Turro. Rotating Ring-disk Electrode.. Applications of Electrochemistry: Electron Transfer. Spectroelectrochemistry. C. University Science Books. 1970. Rotating Disk Electrode. WileyInterscience.Suggested Reading: • • • Lakowicz. Electrochemical Methods: Linear Sweep Voltammetry. J. Principles of Molecular Photochemistry: An Introduction. Butler Volmer model. “Photophysics of Aromatic Molecules”. Electrochemical Thermodynamics: Basics of Electrochemical Thermodynamics. Coupled Chemical Reactions. J. Ramamurthy. Catalysis. V. Square wave Voltammetry. Page | 104 . AC impedance. Marcus Theory.. B. Principles of Fluorescence Spectroscopy. J. Mass Transfer Controlled Reactions. C.. Birks. Kinetics of Electrochemical Reactions: Arrhenius Equation. J. Plenum Press. N.. J. 1968. J. Allen J Bard and Larry R. notations of energy levels and electronic transitions Fluorescence: Introduction. 2nd Edition. various kinds of transitions and selection rules. Lippert equation and its applications. Recent Research Publications. relationship between lifetime and Einstein’s coefficients (Strickler and Berg equation) and its limitations. N. Plenum Press. (4) • • CHM 629: Advanced Molecular Spectroscopy Basic Concepts: Einstein’s coefficients and their relation with transition moment integral. fluorescence quenching. John O’M. 2nd Edition. different types of mechanisms associated with fluorescence quenching and their applications. Faulkner. kinetic parameters. fluorescence anisotropy and its applications Radiationless processes: Mechanism of internal conversion and inter-system crossing.Suggested Reading: • Electrochemical Methods: Fundamentals and Applications. John Wiley and Sons Modern Electrochemistry Ionics: Volume 1. fluorescence excitation spectra. time scales of molecular processes. analysis of a fluorescence spectrum. Stokes’ shift. fluorescence quantum yield. (general effects and specific effects). Bockris and Amulya K. time-dependent perturbation theory. Jablonskii diagram. effect of solvent on fluorescence. Reddy. effect of temperature on radiationless processes Page | 105 . H. University Science Books. Suggested Reading: • • • • • Atkins. Ltd. I.. Moleculeand Spectrum. C. New Age International Pvt.. Turro. V. Physical Chemistry. Page | 106 . S. J. 2009. Principles of Fluorescence Spectroscopy.. concept of time-resolved spectroscopy. factors affecting the rate of phosphorescence Resonance Energy Transfer: Different mechanisms of energy transfer (Forster and Dexter). Levine. non-vertical energy transfer. Principles of Molecular Photochemistry: An Introduction. N. 8th Edition. 2011.. P. intrinsic and extrinsic fluorophores. Lakowicz. different methods of triplet-triplet absorption. FCS and FLIM. and Randhawa. Dogra. and de. selection rules for energy transfer. protein labeling Lasers and its applications: Principles of lasers.Phosphorescence: Kinetic parameters. dynamics of reactions in liquids.. Physical Chemistry. S.. monochromators... Ramamurthy. fluorophores and dyes used in spectroscopy.. J. Paula. Plenum Press. 2008. McGraw-Hill. 2003. 2008. origin of triplet state and its formation. choice of light sources and detectors.. J. Spectrophotometry and Fluorometry: Principles and instrumentation. FRET and its applications. Confocal microscopy. multi-photon ionization processes in molecules. J. W. Atom. spectroscopy of single molecules. optical filters and choice of filters. typical examples and choice of dyes. K. Oxford Press. R. and Scaiano. radial distribution function. lattice-gas model and binary alloys. Page | 107 . virial explansion of the equation of state. phase space vectors and Liouville’s theorem. the Liouville equation and equilibrium solutions. Cold Spring HarborLaboratory Press.. D. R. Percus-Yevick and hypernetted-chain approximations. P. and Ha. Kirkwood integral equation. microscopic equations of motion.. introduction to renormalization group theory.• Selvin. density expansion of the pair functions. phase space. Suggested Reading: • Chandler. Critical phenomena: Critical behaviour of the van der Waals equation. Theory of imperfect gases: Cluster expansion for a classical gas. T. scaling and universality. mean-field theories. Ornstein-Zernicke equation. Ising model. Classical Statistical Mechanics: Classical partition function (rotational. Single Molecule Techniques: A Laboratory Manual. law of corresponding states. 1987. perturbation theory of the van der Waals’ equation. Landau-Ginsburg theory. 2008. vibrational and translational) as the high-temperature limit of its quantum counterpart. Introduction to Modern Statistical Mechanics. broken symmetries.. Oxford. evaluation of the virial coefficients. Theory of the liquid state: Definition of distribution and correlation functions.. potential of mean force and the superposition approximation. evaluation of cluster integrals. (4) CHM 630: Advanced statistical mechanics Basic postulates and ensembles: Distributions. ergodic theory. partition functions and calculation of thermodynamic properties in various ensembles. Slater approximation of Hartree-Fock. Practical DFT – Introduction to basis sets – localized and periodic basis sets. and McDonald. Modern Density-functional theory – Introduction to functionals and functional calculus. 1971. (4) CHM 631: Electronic Structure Review of quantum chemistry – Molecular Schrodinger equation.. I.. ButterworthHeinemann. Stanley. 3rd. A. manyelectron wavefunctions.. Theory of Simple Liquids. D. Oxford. computation of electronic and structural properties.. all-electron versus pseudopotential approximations. HellmannFeynman theorem and computation of forces. H. Pathria. 2000. P. Introduction to Phase Transitions and Critical Phenomena. 2006. variational principle. Born-Oppenheimer approximation. meaning and utility of the Kohn-Sham orbitals and eigenvalues. University Science Books.. K. approximate exchange-correlation functions.• • • • McQuarrie. R. Hohenberg-Kohn theorems. Introduction to a DFT code and some simple examples and casestudies Page | 108 . Statistical Mechanics. J. Kohn-Sham approach. Ed. R. Academic Press. 1996. Ed. Hartree-Fock theory and electron correlation. selfconsistent methods to solve the Kohn-Sham equations. 2nd. Hansen. Statistical Mechanics. Some early density-functional theories– Thomas-Fermi model. E. glass and melting transition. S. kinetic chain length. thermodynamics of polymer elasticity-equation of state. (4) CHM 632: Physical Chemistry of Polymers Introduction: Basic concepts. properties of dilute polymer solutions: intrinsic viscosity. Page | 109 . radius of gyration. molecular weights. Parr and W. R. determination of molecular weights. Carothers equation. Ostlund. lattice model. Martin. types of polymers. Modern Quantum Chemistry. stereoregularity. determination of Tg (calorimetry. NMR characterizations. Networks. gels and rubber elasticity: Gel point. Polymer solutions and blends: Thermodynamics and statistical thermodynamics.Suggested Reading: • • • W. Yang. copolymerization and emulsion polymerization. A. R. thermodynamic aspects of Tg. phase separation. Flory-Huggins theory. dynamic mechanical analysis). Polymer viscoelasticity and glass transition (Tg): Stress-strain behavior. Polymerization kinetics: Stepwise & chain growth kinetics. factors affecting Tg. Electronic Structure.G. rubbery elastic states of polymers. osmotic pressure. Structure of Polymer Chain: Chain isomerism. Maxwell-Voigt mechanical models. ideal elastomers.. configurations. A chemist’s guide to densityfunctional theory. Szabo and N. and conformations. Stress relaxation. Density-functional theory of Atoms and Molecules. Koch and M. Holthausen. J. experimental methods. Many-electron systems. self-assembly. 1953. Applications and emerging technologies: Conducting and semiconducting polymers in organic electronics. P. Principles of Polymer Chemistry. MO treatment of H2+ molecular ion. Suggested Reading: • • • Polymer Chemistry. C. Slater determinant wave functions. plasticizers. liquid crystalline polymers. Symmetry and conservation laws. spin-orbit coupling. antisymmetry principle.Crystalline state of polymers: Polymer Crystallization. Molecular Hamiltonian. The independent particle approximation applied to molecules. Cornell University Press. (4) CHM 633: Quantum Chemistry Review of the postulates of quantum mechanics. Merrifield resins. Addition of angular momenta. 2006. Sperling. The Independent particle approximation to many-electron atoms. polymer nanocomposites. Born-Oppenheimer approximation. Introduction to Hilbert spaces and bra-ket algebra. CRC Press. Ehrenfest theorem and quantum-classical correspondence.H. thermodynamics and kinetics of crystallizations. P. semi-crystalline structures. Pauli exclusion principle. Wiley-Interscience. 2nd Edition. L. LCAO approach to polyatomic Page | 110 . Lodge. Hiemenz and T.P. adhesives. atomic term symbols for ground and excited states. antioxidant. spin operators and eigenfunctions. Electron spin angular momentum. Flory. Introduction to Physical Polymer Science. 2007. Ostlund. introduction to approximation methods and numerical techniques. Oxford University Press. HohenbergKohn theorems. Friedman. Kohn-Sham equations. special functions. Electron-electron correlations. Ed. N. R. a survey of post-HF and semi-empirical methods. Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory. Quantum Chemistry.. Fourier series. Gaussian basis sets and pplications to simple molecules. functions of a complex variable. Quantum Chemistry. 6th. matrices. ordinary and partial differential equations.. P. Correlation energy. A. Atkins.molecules. 2008. 2009. orthogonal polynomials. Ed. Dover. 2nd. eigenvalues and eigenvectors. Pearson Press. A. integral transforms. Introduction to density-functional theory. Hartree-Fock theory and the SCF method. Koopmans’ theorem. McQuarrie.. University Science Books. S. Huckel and extended Huckel theories and simple applications. Page | 111 . I. Brillouin’s theorem. calculus of variations. (4) CHM 635: Mathematical Methods for Chemists Linear algebra and vector spaces. statistics. Suggested Reading: • • • • Levine. restricted and unrestricted approaches. 2008. Molecular Quantum Mechanics. vector calculus.. Szabo. D.. curvilinear coordinates and coordinate transformations. S. 1989.. W. exchange-correlation functionals and some applications. Functional Materials Page | 112 . thermal conductivity. Surface Science: Introduction to surface structure.. absortion and scattering of radiation by crystals. (4) CHM 637: Chemistry and Physics of Materials Structure and Bonding in Materials: Ideal structures. R. defects and disorder in solids. Mathematical methods for physicists. 2003. Arfken. Mathematical methods for the physical sciences. transport properties. reactivity of surfaces. thermodynamics and statistical mechanics. Ed. and elastic phenomena. Academic Press. electronic states. Properties of Materials: Electronic properties of solids. 1971. A. adsorption. lattice dynamics and structural phase transitions. electricity and magnetism. and Harris. M. Weber. L. J.. and Walker. G. 7th. D. types of interactions and bonding. H. principles of electron microscopy and other experimental tools for nano-science. University Science Books. Mathematical methods for scientists and engineers. 2006. experimental determination of structure. Boas. 3rd. Ed. interaction of radiation with matter.. F. Mathematical methods of physics. Structure and Properties at the Nano-scale: Optical. 2nd. 2012. surface free energy and stress. electronic and structural properties of confined systems. Review of Basic Concepts: Quantum mechanics. electro-optic and photovoltaic effects.. Ed.. Matthews. L. Kaye Pace.Suggested Reading: • • • • McQuarrie. Addison Wesley Longman.. Gersten. Smith. On the Singlevaluedness of the newly formed Diabatic Potentials and the Quantization of the Born-Oppenheimer (BO) non-adiabatic coupling (NAC) matrix. Singularities. (b) The Diabatic Representation Mathematical Introduction: (a) The Hilbert Space and the Curl-Div Equations. Page | 113 . et al.Suggested Reading: • • • The Physics and Chemistry of Materials – Joel I. Poles and Seams characterizing the BO-NAC terms. Solid State Physics – Guiseppe Grosso and Guiseppe Pastori Parravicini. Fredrick W. Introduction to Nano-science and Nano-technology – Massimiliano DiVentra. (c) Abelian and non-Abelian Systems. (b) First Order Differential Equations along contours. The Adiabatic-Diabatic Transformation (ADT). (4) CHM 641: Symmetry and Group Theory See contents of CHM 301 CHM 642: Principles of Quantum Chemistry See contents of CHM 322 CHM 651: Chemical Dynamics and Non-adiabatic Interactions (4) (4) The Born-Oppenheimer Approach – The Time Independent Framework: (a) The Adiabatic Representation. The Extended Born-Oppenheimer Equation including Symmetry The Born-Oppenheimer Approach – The Time Dependent Framework (emphasizing Field-dependent non-Adiabatic Coupling terms). Non-Adiabatic Effects in Chemical Page | 114 . Part 2. State-Selected and State-to-State Ion-Molecule Reaction Dynamics. Ng. Advances of Chemical Physics. (1992) • M. Baer and C-Y. Ser.J. (eds). Hoboken. Koeppel. Domcke. Hoboken. Vol.R.Molecular Fields as formed by Lorentz Wave-Equations. The Jahn-Teller Model. Among other things the concept of arrangement channels and decoupling of arrangement channels employing Absorbing Boundary conditions will be discussed. Advances of Chemical Physics. The interaction between molecular systems and electromagnetic fields: (a) The Classical treatment of the field (b) The Quantum treatment of the Field (based on Fock states). Advances Series In Physical Chemistry Vol. The Role of Degenerate States in Chemistry. the mixed JahnTeller/Renner-Teller model. Billing (eds). Baer and G. 82. The Renner-Teller model. The Privileged ADT phase and the corresponding Topological (Berry/Longuet-Higgins) phase. N. Yarkony and H. (2002) • W. John Wiley. Conical Intersections. If time allows various subjects related to Quantum Reactive Scattering Theory will be introduced. D. 15 (World Scientific. Hong-Kong (2004). Selected Readings: • M. • Farad.J. Vol. Discussions.D. 124. N. Ser. John Wiley. Ratner. Hong-Kong (1999) Page | 115 . Quantum Mechanics in Chemistry. John Wiley. Prentice-Hall. Theory and Application of Quantum Molecular Dynamics. (2004) • M.Dynamics.S.J. New York (1975) • J. • G. Z. World Scientific. (2006). 2nd Edition. Jackson. Classical Electrodynamics. Vol.D. Wiley Interscience.C. H. 127 (R. Schatz and M.. Hoboken.C. Beyond Born-Oppenheimer: Electronic Nonadiabatic Coupling Terms and Conical Intersections. University Oxford. A. Baer. Englwood Cliffs (1993) • J. N.). Zhang. meteorites. Principles of stratigraphy. Classification of sedimentary rocks. Continental and oceanic crust. Earthquake nomenclature.Earth’s topography. Relative versus absolute age. Earthquake prediction. Mantle and its discontinuities. Nucleosynthesis and formation of stars. Predicting and controlling volcanic activity. asteroids. Core.Geologic time. Important mineral groups. Page | 116 .Earth and Environmental Sciences EES 102: Introduction to Earth Sciences (3) Introduction to Earth Sciences . Techniques of measuring and mapping geologic features. Effect of volcanoes on climate and environment.Concepts of stress. Mercalli Scale. Structural Geology . Sediments and the sedimentary cover. Planets. Mechanisms of faults. folds. Bowen’s reaction series.Types of volcanoes and their products. Metamorphism and associated changes. Interior of the Earth .The Big Bang. fractures.Disciplines of Earth science. Continental rifting. strain and deformation. Plate Tectonics . The age of the Earth. What drives plate tectonics? Mineralogy – Definition and physical properties of minerals. Convergent plate boundaries. Sedimentary structures and bed forms. Concept of Time .Lithospheric plates. Bonding and crystal structure. Volcanoes and Earthquakes . Rock cycle and Petrology – The rock cycle. Integration across other disciplines. comets. Divergent boundaries. Transform faults and hotspots. Nebular condensation and formation of the Solar System. Classification of metamorphic rocks. Geologic time and life. Overview of the Universe . Radiometric dating. Classification of igneous rocks. Recent trends and emerging frontiers Earth’s atmosphere: Sun and its origin. Physical Geology . evolution and progress in the discipline. oil and natural gas. Work of Running Water.Types and causes of mass movement.Hydrologic Cycle. and natural selection.Early life. exploration. Data acquisition and image Processing. coal. Evolution and extinctions.Formation. evolution of the earth and its atmosphere. Atmospheric sciences as an inter-disciplinary area of study. How fossils form. Hydrogeology . identification and remediation of environmental threats. Remote Sensing and GIS – Basic concepts of remote sensing. prediction of weather and climate change. Global mineral needs. Atmospheric elements and compounds. Mineral and Energy Resources . chemical structure and reactivity.Life on Earth . spectrum of radiation of the sun and earth. Artesian system. Global circulation patterns Page | 117 . Species. Global Positioning System. Global Change. Glaciers and Ice Ages. evolution. Oceans and Coasts. Structure and composition of the atmosphere. Suggested Reading: • • • Earth: Portrait of a Planet (4th Ed) by Stephan Marshak Essentials of Geology (third edition) by Stephan Marshak Earth: Portrait of a Planet (fourth edition) by Stephan Marshak (3) EES 202: Atmospheric Sciences Introduction: Significance of studying atmospheric sciences in the regional and global contexts. Groundwater contamination. and production of Ore deposits. Fossil fuels. Alternative energy. Hot-springs and geysers. Deserts. lifetime of chemicals. Geographic Information System. CO. Stratospheric aerosols Suggested Reading: • • • • Atmospheric Science: An introductory survey (2nd edition). Wiley-Interscience (2006) An Introduction to Atmospheric Thermodynamics (2nd edition). John Seinfeld. blackbody radiation. Ozone hole. residence times. Pandis. Academic Press (2006). Chapman mechanism for ozone formation and destruction. Hobbs. stability analysis and conditions Tropospheric chemistry: Composition of tropospheric air. -size distribution and concentrations. and sinks. Vertical mixing. Urban pollution episodes. transport. Sypros N. and halogen cycles. Cambridge University Press (2007) Page | 118 . Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (2nd edition). sources. composition. sources. measure and description of moist air. Dalton’s law. Beer-Lambert law Atmospheric thermodynamics: Basic definitions. transport. Tropospheric aerosol. and sinks of important trace gases (O3. First law of thermodynamics. Boyle’s law. smog formation Stratospheric chemistry: Overview. NOx cycle. absorption and emission by atmospheric gases. Anastasios A. Wallace and Peter V. isobaric cooling. saturated adiabatic lapse rate. Planck function. vertical stability in the atmosphere. absorption by particles. scattering by air molecules and particles. Absolute temperature.Atmospheric radiation: Quantitative description of radiation. local thermodynamic equilibrium. NOx. Hydrostatic balance. John M. Air parcel concept. and VOCs). Tsonis. OH . Moisture in the atmosphere. Miller Indices. Bragg Equation and its application in mineralogy. Absence of 5-fold symmetry. classification and Bowen’s Reaction Series. polymorphism. Chemical bonding. chemical affinity and classification of elements. Carbonates. and Pauling’s Rules. Page | 119 . Mineralogy of the solar system. Peritecti. Crystal growth and twinning. Principles of optical Mineralogy and optical Properties. Exsolutions). Isomorphism. Tectosilicates: chemical structure. phase transformations and crystalline defects. symmetry operations and the fourteen Bravais Space Lattices. coordination polyhedra. 32 crystal classes & their Hermann Mauguin (HM) Notation. sulfates and Phosphates.EES 305/605/606: Mineralogy • • (4) • • • • • • • • Structure of the course. Laws of Crystallography. Nesosilicates. Inosilicates. Major and Minor trace elements in minerals. Phase Diagrams (Binary Eutectic. introduction to the subject and history of mineralogy. Crystal chemistry. classification and mode of occurrence. Oxides. Mineralogical Phase Rule. Nature of X-ray. X-ray crystallography. Systemic Mineralogy: Native elements. Solid Solutions. Phase Equilibria and introduction to the state mineral assemblages of rocks. 7 crystal system. Hydroxides and Halides with emphasis on the Spinel group. Silicate structure. radius ratio. sulfides and sulfosalts. Suggested Reading: • • • • Wenk, H.-R. and Bulakh, A., Minerals – Their constitution and origin. Cambridge University Press. Nesse, W.D., Introduction to Mineralogy. Oxford University Press. Klein, C., and Hurlbut, C.S., Manual of Mineralogy. John Wiley and Sons. Mottana, R. Crespi, and G. Liborio, Simon and Schuster’s guide to rocks and minerals. Fireside Books (4) EES 313/613/614: Science of Sustainability: Managing Earth Resources Introduction: Introduction to the concept of sustainable development/industrial ecology, historical development of industrial ecology, linking industrial activity with earth resources. Analogy between ecosystems and industrial systems: Biological and industrial organism/systems, similarities and differences, concept of metabolism: biological and industrial organisms, industry-earth interactions, utility of the ecological approach, and discussion of practical symbiotic cases from a sustainability perspective. Materials and the environment: Adopting a systems perspective, defining system boundaries, life cycle of materials, definitions and terminology, assessing material and energy flows, eco-efficiency, pollution prevention principles, cradle to grave approach - waste and recycling, resource dissipation, and cradle to cradle approach. Case studies. Page | 120 Life-cycle Analysis (LCA): Introduction – history and definition of LCA, LCA stages – definition of goal and scope, level of detail for boundaries, natural ecosystem boundaries, LCA inventories, input/output assessment, LCA impact and interpretation, identifying issues in the results, drawing conclusions and recommendations, prioritizing recommendations, comparative LCA modeling. Limitations of LCA. Case studies. Industrial ecosystems: Environmental impact assessment, policy implications, Eco-industrial parks, Development of industrial symbiosis, Socio-economic dimensions of industrial symbiosis. Suggested Reading: • • Ashby, M.F. (2009). Materials and the Environment: EcoInformed Material Choice. Elsevier Publishers: Amsterdam. Graedel, T.E., and Allenby, B.R. (2003). Industrial Ecology (2nd Edition). Pearson Education: Upper Saddle River, New Jersey. (4) EES 601/602: Aerosol Science Introduction and aerosol characterization: Definition, parameters for determining particle behavior, particle size, shape and density, aerosol concentrations, number, size, and mass distribution functions (moment distributions), Log-probability graphs, HatchChoate conversion equations, statistical accuracy Uniform particle motion: Newton’s/Stoke’s law, settling velocity, mechanical mobility, slip correction factor, equivalent diameters, settling at high Reynolds numbers, stirred settling, Instruments based on settling velocity Page | 121 Straight line acceleration and curvilinear motion: Relaxation time, stopping distance, curvilinear motion, Impaction, cascade and virtual impactors, time-of-flight instruments Diffusion, Thermal and radiometric forces: Diffusion coefficients, Brownian displacement, diffusion/diffusion batteries, thermophoresis, thermophoretic precipitators, radiometric forces. Coagulation, condensation, and evaporation: Monodisperse coagulation, polydisperse coagulation, kinematic coagulation, homogenous nucleation, Kelvin effect, condensational growth – growth laws, transported limited growth, aerosol phase, reactionlimited growth, heterogeneous condensation, nucleated condensation evaporation Experimental methods for aerosol sampling and characterization: Microscopy, condensation particle counters, filtration – single fiber efficiency, deposition mechanisms, filter efficiency, pressure drop, membrane filters, Optical measurement instruments-definitions, extinction, scattering, visibility - nephelometers, transmissometers, electrical properties based instruments – electric fields, mobility, charging mechanisms, corona discharge, charge limits, electrostatic precipitators, differential mobility analyzer. Atmospheric aerosols: Biogenic and anthropogenic aerosols, general features of ambient aerosol size distributions background aerosol, urban aerosol, chemical composition of urban aerosols Page | 122 Suggested Reading: • Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles (2nd edition), William C Hinds, John Wiley and Sons (1999) Smoke, Dust, and Haze: Fundamentals of Aerosol Dynamics (2nd edition), Sheldon K. Friedlander, Oxford University Press (2000) Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (2nd edition), John H. Seinfeld, Sypros N. Pandis, Wiley-Interscience (2006) (4) • • EES 603/604: Solid Earth Geochemistry • • • • • • The Earth Systems – The earth System; Nature of the early geological record, Achaean lithological associations; the oldest rocks; How much do we really know about the early Earth? Isotopes and radioactivity – Nature of an atom; Mass spectrometry; Radioactivity; Dating by parent isotopes; Dating by parent-daughter isotopes; Radioactive chains. Radiometric dating methods – General questions; Rich systems and solutions to the problem of open system; Poor systems and the radiometric isotopic correlation diagram; Mixing and alternative interpretations. Cosmogenic Isotopes – Nuclear reactions; Carbon-14 dating; Exposure ages; Cosmic irradiation. The origin and differentiation of the Earth – The origin and early history of the Universe; Star formation; the condensation of the Solar System; Earth differentiation. Uncertainties and results of radiometric dating – Statistical reminders to calculation of uncertainties; Sources of uncertainty in radiometric dating; Geological timescale; Age of the Earth; The cosmic timescale. Page | 123 The secular evolution of the Earth’s continental crust. Early history of the Earth. Sr-Nd isotopic coupling. The Earth’s earliest mantle. Isotopic geology and dynamic system analysis – Basic reservoir analysis. The geological record of life’s origin. Crustmantle interactions – reservoirs and fluxes. Stable isotope geochemistry – Identifying natural isotopic fractionation of light elements. and Nitrogen isotopes and biological fractionation. Archaean Atmosphere and oceans. residence time.• • • • • • • Radiogenic isotope geochemistry – Sr isotope geochemistry. The continental crust-mantle system. Modes of isotopic fractionation. The microbial record of life’s origin. Non-steady states. Page | 124 . Isotopic cycle of water. The evolution of the Earth’s Mantle – Understanding the mantle. Assemblages of reservoirs having reached the steady state. The origin of Life – Setting the scene of life. Mantle models. Isotopic geology of Pb. steady states. First order constraints on the origin of the continental crust. Crust growth during the Achaean. In the beginning. Paleothermometry and paleoclimatology. Geochemistry of rare gases. Carbon. Geochemical signals of biological activity. The laws of evolution of isotope systems. Oxygen isotopes in igneous processes. and mean ages. Sulfur. The origin of the continental crust – Moderns crust formation models and mechanisms. Origin of the Earth’s atmosphere and oceans. The origin of the Earth’s atmosphere and oceans – Volatile budget of the modern Earth. quality control. advanced field analysis techniques. and multivariate methods. Walther) Using Geochemical Data – Evaluation. Chemical analyses: Choice of appropriate filter-analysis methodology combinations. air sampling. filter media. Overview of applying XRF. Source apportionment models. J. Page | 125 . carbonaceous aerosol. Presentation. colorimetry. network design.Suggested Reading: • • • • • Isotope Geology (C.dispersion model and receptor models.chemical mass balance method. Interpretation (Hugh Rollinson) (4) EES 607/608: Air Quality Management Introduction Effects and sources of air pollutants. role and objectives of monitoring. particulate matter management in India . All gre) Early Earth Systems – A geochemical Approach (Hugh Rollinson) Isotopes – Principles and Applications (Gunter Faure) Essentials of Geochemistry (J. cations. spectroscopic techniques. quality assurance.legislation and regulatory trends. chromatography. instrument selection. Ambient air quality monitoring: Introduction. Introduction to receptor modeling . system operation. Choice of appropriate analytical techniques to quantify trace elements. data collection and management. PIXE. anions. V. INAA. thermal-optical analysis for chemical characterization of ambient particles. PIGE. quantitative trajectory bias analysis (QTBA). estimation of weights. removal pathways. Residence time weighted analysis (RTW). Absolute principal components analysis. Jacobson. factor rotations. Suggested Reading: • • Receptor Modeling for Air Quality Management. Page | 126 . Factor analysis methods: Introduction to factor analysis. and future directions. model assumptions. penalty functions. advantages of PMF. mass apportionment. concentration profiles. positive matrix factorization (PMF). estimation of the number of factors. mathematical framework of PMF. principles of CMB. review of recent literature. SAFER. and lifetime of chemical species. sources of chemicals. Case studies. using the model. Principal components analysis. Cambridge University Press (2005). semi-quantitative trajectory bias analysis (SQTBA) PM management in India: Applicability of receptor models. Elsevier (1991) Fundamentals of Atmospheric Modeling (2nd edition). algorithms. Model selection. Label 1 (4) EES 615/616: Global Atmospheric Chemistry Atmospheric Chemistry overview: Structure and properties of the troposphere and the stratosphere.Chemical mass balance for source apportionment: Introduction and method development. Trajectory ensemble methods: Potential source contribution function (PSCF). temperature profile. UNMIX. mathematical framework. Philip K. Mark Z. input and output data. Hopke. Research topics elucidating the coupling between atmospheric chemistry and climate change. Atmospheric Chemistry of the Stratosphere: Stratospheric ozone cycle. Jr. anthropogenic impacts. and modeling. Sypros N. John H.J. modeling and uncertainties. and organic chemistry. N. Wiley-Interscience (2006). Finlayson-Pitts. sulfur chemistry. Suggested Reading: • Atmospheric Chemistry and Physics: From Air Pollution Climate Change (2nd edition). an stratospheric aerosols Chemistry of the Atmospheric Aqueous Phase: Aqueous phase reactions.. ozone. nitrite and nitrate chemistry. J. measurement. B. Pandis. and hydrocarbons in the troposphere. Chemistry of the Upper and Lower Atmosphere. Academic Press (2001) • Page | 127 . natural cycles. polar stratospheric chemistry. anthropogenic impacts. Pitts. organic aerosol. Urban Smog: History of air pollution. Seinfeld. Torpospheric aerosols – sources and composition. NOx chemistry. Chemistry of Global Climate Change: Greenhouse gases and aerosol concentrations – historical perspectives. hydroxyl radical. field studies.Atmospheric Chemistry of the Troposphere: Tropospheric cycles. secondary organic aerosols. Principles of Atomic Physics – Nuclear synthesis. Using major element data – Rock classification. Basic Thermodynamics and phase relations. Using trace element data – Controls on trace element distribution. Multi-elemental plots. Methods and errors – Analytical methods in geochemistry. Tectonic controls on magmatic and sedimentary processes. REEs. and rocks. variation diagrams. EES 617/618: Geochemistry – Principles and Applications (4) Introduction – The Earth’s aggregate physical and chemical state. J. PGEs. triangular diagrams. Seinfeld. R. U. ratio correlation. Chemistry of minerals. water. Modeling trace element processes in igneous rocks. Sources of error in geochemical analyses. Geochronometry and related uncertainties Page | 128 . Hildemann and other studies as deemed appropriate from time-to-time. Baltensperger. Correlation. and determination of phase boundaries. L. Chow. Kamesn. Decay modes of radionuclides. P. Tectonics – Discrimination between tectonic environments using major and trace element data. J. Geological controls on geochemical data. Pankow. regression. Selecting appropriate analytical techniques. Radioactive decay.Papers: The works of J. Saxena. cosmogenic and extinct radionucleides Stable Isotopes – Modes of fractionation. M.. Isotope Geology. Early history of the Earth. Essentials of Geochemistry. 2004. Faure. 2005. Biological fractionation. V. Boron and other elements. Sm-Nd system. Other radionucleides . Page | 129 .. Water and sediment. La-Ce system. 2005. Non-steady states. Earth Systems – Mixing theory.. Isotopes – Principles and Applications. Re-Os system. Ar-Ar system. J. Radiogenic isotopes in petrogenesis. Paleothermometry and Paleoclimatology. Chemical geodynamics. Water-rock interactions. Lu-Hf system. Nitrogen and Sulphur systems.Radiogenic Isotope Geochronometers – Rb-Sr system. 928 pages.. 704 pages. Hydrogen. Cambridge University Press. Basic steadystate reservoir analyses. G. Blackwell Publishing.. Oxygen. Early Earth Systems – A geochemical Approach. K-Ca system. 512 pages. 2008. Suggested Reading: • • • • Allégre. Walther. Rollinson. Origin of igneous rocks. J. T. K-Ar system. C. 285 pages. Carbon. and Mensing. Wiley publications. The oceans. LaBa method. H. Organic Geochemistry.Short-lived. Jones & Bartlett Publishers. U-Th-Pb and Pb-Pb systems. Conclusions – The combined use of sable and radiogenic isotopes and the construction of a global geodynamic system. equilibrium calculation. soil formation and processes. pe-pH and Eh-pH diagrams. surface and groundwater geochemistry. controls on aqueous geochemistry. thermodynamic laws. activity coefficients. influence on the solubility and saturation state of carbonate minerals.EES 410/611/612: Aqueous Geochemistry (4) Fundamentals of aqueous geochemistry. calcite-dolomite solubility and role of pH and CO2. quartz and silica polymorphs. precipitation and dissolution kinetics Page | 130 .rate laws and effect of temperature on reaction rate. sorption and ion exchange Redox processes. geochemistry of clay minerals.occurrence and stability of calcium-magnesium carbonates. Davis and Truesdell-Jones models Chemical kinetics. Debye-Hückel. entropy and Gibb’s free energy. congruent and incongruent dissolution. magnesium silicates and aluminosilicates. La Châtelier’s principle . equilibrium constants and effect of temperature and pressure. fermentation and methanogenesis. redox conditions in natural water Acid-base over view. stability fields. Nernst equation. rain water and acid rain Carbonate and aluminosilicategeochemistry.acidity and alkalinity. solubility of aluminium and iron oxyhydroxides.balancing redox reactions. hydrological cycle.water molecule and hydrogen bonding. common ion effect Weathering and water chemistry – chemical weathering.enthalpy. redox ladder. aqueous pH and buffer capacity Equilibrium thermodynamics. rate of weathering of rock forming minerals. S N. organomettalic and organomettaloidal compounds Page | 131 . radioactive and stable isotopes. statistical evaluation and graphical presentation. acid mine drainage. Donald Langmuir. aqueous geochemical modelling software Selected Readings: • • Aqueous Environmental Geochemistry. analytical techniques. forward vs. inverse modelling. ion exchange.physical vs. James I. 1997. 1996. oxidationreduction. analysis and presentation of aqueous geochemical datasampling principles and onsite measurements. John Wiley and Sons. (4) • EES 419/619/620: Environmental Biogeochemistry Continental environment – Fundamentals and important geochemical processes in environment – acid-base.Sampling. carbonate chemistry.Fe-S geochemistry.. P and halogens.. radioactive waste disposal. 3rd edition 1997. chemical. 3rd edition. Chemical Equilibria and Rates in Natural Waters. Aquatic Chemistry. geochemical modelling. Morgan.alumino silicates and environmental stability. non-metals – C. Drever. geochemistry of clay minerals and cation exchange. wreathing and water chemistry.Hydrologic cycle. Prentice Hall. trace element cycling in environment and speciation. Stumm. microbial activities Environmental mineralogy . gas-water and water-rock interaction geochemical processes. Inc. Geochemistry of Natural Waters: Surface and Groundwater Environments. Prentice Hall. dissolutionprecipitation. Werner and James J. adsorption-desorption. Elizabeth Kay Berner& Robert A. Donald Langmuir.atmospheric gases. terrestrial nitrogen and phosphorous cycles. 2012. and Geochemical Cycles. Inc.2nd edition.Fluvial. 3rd edition 1997. p. John Wiley & Sons. 2nd edition 1997. Geochemistry of Natural Waters: Surface and Groundwater Environments. chemical budgets of elements. p. aerosols and ozone chemistry. Prentice Hall.marine sediments Atmospheric environment. 2003. Stumm. Drever. 1st edition. Nelson Eby. Aquatic Chemistry. Principles of Environmental Geochemistry. 514.. pit lakes. 1996.P. estuarine and marineenvironments–processes and composition of river systems. rain water and acid rain. Chemical Equilibria and Rates in Natural Waters. Brooks Cole. processes (physical vs. biological and chemical processes. greenhouse gases and climate change. air pollution Selected Readings: • Global Environment. classification and chemical vs.. Princiton University Press. Morgan. Prentice Hall. James I.Water. 1022. p. S and N cycles and its effect on rain water. John Wiley and Sons.600. lake. Werner and James J. p. Aqueous Environmental Geochemistry. 444. 3rd edition. chemistry of sea water and oceanic circulation. • • • • Page | 132 . 436. Air. Berner. biological processes of estuaries.Inc. biological) and thermal stratification in lakes. geodesy and solid earth science. Optical mechanical line scanner.Projection. GRACE mission. Spectroscopy of rocks and minerals: Introduction. Page | 133 . CCD linear array scanner. basic principles of spectroscopy. distortions related to a) sensors. imaging sensors and tubes. electronic process and vibrational processes. film technology. description of space bourne imagine sensors. the electromagnetic spectrum. c) earth`s rotation. passive and active microwave remote sensing. the Blackbody radiation. Color science. fundamental principle. Microwave remote sensing: Introduction to microwave. development of remote sensing technique. Remote Sensing based on gravity: Gravity of earth and other planetary bodies. High altitude photography: Interaction between light and matter. spectral reflectance of minerals. surface. mosaic resampling of satellite images. principle and sources of electromagnetic radiation. Distortion and quality of photographs and images: Geometric distortion. Multispectral digital imaging system: Introduction to digital images. b) spacecraft. interpretation of thermal imagery. Factors affecting image quality. advantage and limitations of remote sensing.EES 421/621/622: Remote Sensing of Natural Environment (4) Introduction: Structure of the course. RADAR technology. digital camera. radient temperature and kinetic temperature. energy available for remote sensing. atmospheric window for remote sensing. Space borne gravity data for hydrology. Aerial photography: vertical and oblique photography. Electromagnetic radiation: The nature. interferometry. Plank`s law and emissivity. Thermal Remote Sensing: The Earth`s radiant energy. Springe Verlag. Geohydrology and water quality using remote sensing data. Resourcesat and Cartosat data and their applications. Geobotany. Environmental application of remote sensing data: Detailed description of SPOT and JERS images. Vol. band ratio and colour enhancement of images. Prentice Hall. Remote Sensing for the Earth Sciences. Incorporated. INSAT. transformation of remote sensing data and other data in GIS format. mineral and oil exploration. Gupta. F. Waveland Press. 3. S. 4. • Page | 134 . monitoring vegetation patterns and desertification.. tectonics. Remote Sensing for Natural Resource Management and Environmental Monitoring. Principle component analysis. Future directions. Remote Sensing Geology.. J. Suggested Books: • • • • Sabins.. (2004). Remote Sensing: Principles and Interpretation. Integration of remote sensing data with other geo data: Introduction to GIS. (2002). (2007).P. Wiley.. Rencz. Indian Remote Sensing Program: Remote sensing program by Indian Space research organization. Vol.Manual of Remote Sensing. R. 2nd edition. Manual of Remote Sensing. A. coastal and deltaic landforms.Digital image processing of satellite images: Introduction to digital image processing. Manual of Remote Sensing. Geological application of remote sensing data: Digital image processing and satellite imagery for geomorphology. radiometric and geometric corrections. Ustin. Remote sensing of the atmosphere. (1999). Wiley. Jenson. IRS.. lithology and geological mapping.F. Oceansat.N. Remote Sensing of the Environment: An Earth Resource Perspective (2nd Edition). (2006). Mechanics of fracturing and faulting: Experimental fracturing of rocks and minerals.. fold scale and attitude. different types of stress tensors. association of lineation and other structures. Rheology of rocks and minerals: concept of brittle and ductile deformation. twin gliding. Faults: Different types of faults. disjunctive. Foliation and lineation in deformed rocks: Different types of foliations: Compositional.Measurement of strain. Fracture and joints: Classification of fractures. strain and deformation: Stress: Basic definitions. geometry of fracture system in three dimensions. microscopic features of fractured surfaces. the order of folding. common styles and structures associated with folding. Folding: Geometric descriptions of folds. The Griffith theory of fracture. effect of confining pressure on fracturing and frictional sliding. recognition of faults. Strain: basic definitions. c) formation of kink and chevron fold. Introduction to structural geology and tectonics.EES 623/624: Structural Geology and Rock Deformation (4) Introduction: Structure of the course. The Earth’s crust and plate tectonics. measurement of fault displacements. The Coulomb Fracture Criterion. crenulation and continuous. drag fold. b) multilayer folding. Lineation: Structural and mineral. Kinematics of Folding: Folding mechanism: a) flexural folding and shear folding of single layers. diffusion and solution Page | 135 . Stress. Mohr`s diagram: Graphical analysis of stress.Interior of the earth and other planetary bodies. the element of fold styles. The structure of the continental crust. Fault Geometry. Orientation of stress field and fault kinematics. Microscopic aspects of ductile deformation: Mechanisms of low temperature deformation. preparation of geological maps.creep.J and Moores. H. Structural Geology and plate tectonics: Introduction to plate tectonics. R. Shear zone and progressive deformation: The nature of shear zone. (1988). Microscopic criteria for identification of dislocation and diffusion creep.K. S.J. Strain in shear zone. Kluth. S. Pergamon Press. Structural Geology. Basic methods of Structural Geology. Structural Geology (1993): Fundamentals and Modern Developments. Graphical analysis of structures. E. G. Page | 136 . development of structures at active plate margins Measurement techniques and preparations of geological maps in structural geology: Orientation and representations of planer and linear structures. 2nd edition Ghosh. different types of tectonic boundaries. Structural Geology of rocks and regions. graphical representation of structures. Davis. pitch and plunge of linear structure.. F. Mitra. mechanism of formation of shear zone. linear crystal defects.C. W. Reynolds. strike and dip of planer structures. Suggested Books: • • • • Twiss. Wiley. Printice Hall. 3rd Edition. Marshak.H Freeman and Company. S. shear zone and active tectonics.M (2007). 1st edition.. determining the sense of shear in shear zone. stereographic projections of geological structures. mean value theorem. Volume 1. left and right continuity. supremum and infimum. definitions. Taylor's theorem Integration. examples of continuous and discontinuous functions. John. integration by parts. examples Limits and continuity. 9th edition. continuity and discontinuity of a function at a point. Addison-Wesley. 2nd edition. Leibnitz's theorem on successive differentiation. field axioms. Calculus and Analytic Geometry. M. limit of a sequence. Springer. basic properties. order axioms and the completeness axiom Sequences and series of numbers. tests of convergence. Volumes 1 and 2. uniform continuity Differentiation. Introduction to Calculus and Analysis. Apostol. boundedness of a continuous function on a closed interval. partitions. Thomas and R. 1989 • • Page | 137 . absolute and conditional convergence of an infinite series. Calculus. 1998 T. Riemann integral viewed as an area. definition and basic properties. upper and lower integrals. L.Mathematics MTH 101: Calculus of One Variable • • (3) • • • Introduction to the real number system. F. Rolle's theorem. applications Suggested Reading: • G. Wiley Eastern. 1980 R. intermediate value theorem. Cauchy's criterion. Indian student edition. fundamental theorem of integral calculus. existence of the Riemann integral. B. Classics in Mathematics. Finney. Courant. convergence of a sequence. MTH 102: Linear Algebra • • (3) • • • • Review of complex numbers Matrices, matrix operations, special matrices (diagonal, triangular, symmetric, skew-symmetric, orthogonal, hermitian, skew hermitian, unitary, normal), vectors in Rn and Cn, matrix equation Ax = b, row-reduced echelon form, row space, column space, and rank of a matrix. Determinants. Systems of linear equations Vector space Rn, linear independence and dependence, linear span, linear subspaces, bases and dimensions Vector spaces, bases and dimensions, linear transformations, matrix of a linear transformation, rank-nullity theorem Inner product spaces, orthonormal bases, Gram-Schmidt orthogonalization, projections Eigenvalues and eigenvectors of a linear operator, characteristic polynomial, diagonalizability of a linear operator, eigenvalues of the special matrices stated above, spectral theorem for real symmetric matrices and its application to quadratic forms, positive definite matrices Suggested Reading: • T. M. Apostol, Calculus, Volume 2, 2nd edition, Wiley Eastern, 1980 • H. Anton, Elementary linear algebra and applications, 8th edition, John Wiley, 1995 • G. Strang, Linear algebra and its applications, 4th edition, Thomson, 2006 • S. Kumaresan, Linear algebra - A Geometric Approach, Prentice Hall of India, 2000 • R. Rao and P. Bhimasankaram, Linear Algebra, 2nd edition, Hindustan Book Agency, 2000 Page | 138 • • M. Artin, Algebra, Prentice-Hall of India, 1994 R. Bapat, Linear Algebra and Linear Models, HBA, 1999 (3) MTH 201: Multivariable Calculus and Differential Equations • • • • • • Vectors in R3, dot product of vectors, length of a vector, orthogonality of vectors, cross product of vectors Lines, planes, and quadric surfaces Continuity and differentiability of vector-valued functions, tangent vectors Functions of two or more variables, limits and continuity, partial derivatives, gradient, directional derivatives, maxima, minima and saddle points, Lagrange multipliers Double and triple integrals, change of coordinates, vector fields, line integrals, surface integrals, Green’s theorem, Divergence theorem, Stokes’ theorem First order ordinary differential equations: variables separable, homogeneous, linear and exact equations Suggested Reading: • • • • G. B. Thomas and R. L. Finney, Calculus and Analytic Geometry, 9th edition, Indian student edition, Addison-Wesley, 1998 T. M. Apostol, Calculus, Volumes 1 and 2, 2nd edition, Wiley Eastern, 1980 J. E. Marsden and A. Tromba, Vector Calculus, W.H. Freeman & Company, 2004 R. Courant, F. John, Introduction to Calculus and Analysis, Vol. 2, Classics in Mathematics, Springer, 1989 Page | 139 MTH 202: Probability and Statistics • • (3) • • • • • • • Algebra of Sets: sets, classes, limit of a sequence of sets, rings, sigma rings, fields, sigma-fields, monotone classes Probability: Classical, relative frequency and axiomatic definitions of probability, addition rule and conditional probability, multiplication rule, total probability, Bayes Theorem and independence, problems Random Variables: Discrete, continuous and mixed random variables, probability mass, probability density and cumulative distribution functions, mathematical expectation, moments, probability and moment generating function, median and quantiles, Markov inequality, Chebyshev’s inequality, problems Special Distributions, Joint Distributions: Joint, marginal and conditional distributions, product moments, correlation and regression, independence of random variables, bivariate normal distribution Transformations: functions of random vectors, distributions of order statistics, distributions of sums of random variables Sampling Distributions: The Central Limit Theorem, distributions of the sample mean and the sample variance for a normal population, Chi-Square, t and F distributions Descriptive Statistics: Graphical representation, Summarization and tabulation of data Estimation: Unbiasedness, consistency, the method of moments and the method of maximum likelihood estimation, confidence intervals for parameters in one sample and two sample problems of normal populations, confidence intervals for proportions Testing of Hypotheses: Null and alternative hypotheses, the critical and acceptance regions, two types of error, power of the test, the most powerful test and Neyman-Pearson Fundamental Page | 140 Lemma, tests for one sample and two sample problems for normal populations, tests for proportions, Chi-square goodness of fit test and its applications Suggested Reading: • • • • • • • • W. Feller, An Introduction to Probability Theory and Its Applications, Volume 1, 3rd Edition, Wiley, 1968 V. Rohatgi, A. Saleh, Introduction to Probability Theory and Statistics, 2nd Edition, Wiley, 2000 S.M. Ross, A First Course in Probability, 6th Edition, Prentice Hall A. Craig, R. Hogg, J. McKean, Introduction to Mathematical Statistics, 6th Edition, Prentice Hall, 2004 J.S. Milton and J.C. Arnold, Introduction to Probability and Statistics P. Hoel, S. Port, C. Stone, Introduction to Probability Theory, 1st Edition, Brooks Cole, 1972 R. Isaac, The Pleasures of Probability, Springer (Undergraduate Texts in Mathematics) H.J. Larson, Introduction to Probability Theory and Statistical Inference (4) MTH 301: Groups and Rings • • • • • Definition of group, subgroups, normal subgroups, quotient groups Basic examples: dihedral, symmetric, alternating, quaternion groups, matrix groups Cyclic groups, subgroups of cyclic groups, centralizer, normalizer and stabilizer subgroups Simple groups, simplicity of alternating groups Homomorphisms and isomorphisms, isomorphism theorems Page | 141 M. Rotman. principal ideal domains. Artin. N. Wiley J. Prentice-Hall of India. R. Stellmacher. 2nd Edition. Dummit. euclidean domains. The Theory of Finite Groups. 1999 H. group rings. 1994 D.• • • • • • • Group actions on sets. S. W. 2004 Page | 142 . Kurzweil. 2nd Edition. Algebra. Abstract Algebra. rings of formal power series Ring homomorphisms. isomorphisms. Herstein. Algebra. An Introduction to Theory of Groups. 2005 M. Wiley. B. Chinese remainder theorem Commutative rings. class equation. matrix rings. Prentice Hall J. groups of small order (if time permits) Definition of ring. Hungerford. Topics in Algebra. 2006 T. A First Course in Abstract Algebra : With Applications. Springer Verlag. unique factorization domains Suggested Reading: • • • • • • • I. Springer Universitext. Foote. subrings. quotient rings Basic examples: polynomial rings. Springer GTM. conjugation. Rotman. automorphisms Sylow theorems and application on counting groups of a given order Direct and semidirect products. ideals. Introduction to Commutative Algebra (1st Indian Edition). S. Representations of rings. Narosa M. completeness.F. Semisimple modules Tensor product of modules. Birkhoff. Foote. Hindustan Book Agency (4) MTH 303: Real Analysis I • Real number system.G. Submodules. R. Macdonald. Levant Books N. Simple modules.S. change of scalars Projective and Injective modules Suggested Reading: • • • • • • D. 2nd Edition).M.I & II). Lang. applications to finitely generated abelian groups Exact Sequences of modules. Finitely generated modules. Properties of tensor product. Wiley G. Artinian and Noetherian Modules. Musili. McLane. Basic Algebra (Vols . Kernel and Image. Algebra (3rd Edition). Schurs lemma Structure theorem for finitely generated modules over a PID. limit superior. AMS S. Atiyah. Jacobson. I. Quotient modules. limit inferior. Algebra (3rd Edition). supremum principle. Isomorphism theorems Direct sums and Free modules. Cyclic modules Homomorphisms.MTH 302: Modules Pre-requisites: MTH 301 Groups and Rings • • • • • • • (4) Left and right modules. Rings and Modules (2nd Edition). Abstract Algebra. Cantor set Page | 143 . Pears C. Dummit. Wiley Eastern. Rudin. R. spaces of Page | 144 . Apostol. properties of Riemann-Stieltjes integral. open sets. Principles of Mathematical Analysis (3rd Edn. Real Analysis (3rd Edn. Volumes 1 and 2 (2nd edition). Arzela-Ascoli theorem Taylor’s theorem. closed sets. integration by parts. Apostol. completeness. convergence. equicontinuous families. Methods of Real Analysis H. power series. fundamental theorem of calculus. Prentice Hall. Goldberg. Hindustan Book Agency (4) MTH 304: Metric Spaces and Topology Pre-requisites: MTH 303 Real Analysis I • Definition. 1953 T. McGraw Hill. Calculus. Mathematical Analysis (2nd Edn.). M. uniform convergence and its consequences. Royden. Narosa Publishing.). M. differentiation of the integral. 2008 Terrance Tao. Gamma function Suggested Reading: • • • • • • T.• • • • Sequences and series of functions. limit points.). functions of bounded variation. space of continuous functions on a closed interval. trigonometric and logarithmic functions Monotonic functions. exponential. rectifiable curves Riemann-Stieltjes integral. L. radius of convergence. continuity. Stone-Weierstrass theorem. TRIM Series. Analysis I & II. Baire’s theorem. 1985 R. 1980 W. 2008 • J. Tychonoff’s theorem and locally compact spaces. examples. compact metric spaces. base. Urysohn’s lemma. Tietze extension theorem. Stone-Cech compacitification Suggested Reading: • G. totally disconnected spaces. homeomorphisms. Tata McGraw Hill. Dorling Kindersley. direct proof.• • continuous functions Compactness. compact-open topology. separation axioms. completely regular and normal spaces. countable and uncountable sets Propositional and quantified logic Statements and Proofs: proof by induction. Ascoli’s theorem Completeness. sequential compactness. components. space filling curve. quotient topology Compact spaces. weaker and stronger topology Order topology. examples Countability axioms. Simmons. path components. subbase. Urysohn embedding theorem. proof Page | 145 . Munkres. locally connected spaces. limit point compactness. F. Topology (2nd Edn). local compactness Connected spaces. 2006 MTH 305: Foundations of Mathematics and Elementary Number Theory • • • (4) Ordinal and cardinal numbers. nowhere differentiable functions Topology • • • • • • Definition and examples of topology. R. product and box topology Continuity. subspace topology. Introduction to Topology and Modern Analysis. orthogonal trajectories. Tata McGraw Hill Jones and Jones. power series solutions. 1953 D. special functions. Wiley E. method of undetermined coefficients. Burton. Introduction to Mathematical Logic (5th Edn.). Euler’s theorem Quadratic reciprocity law Primitive roots Suggested Reading: • • • • • • W. The Foundations of Mathematics. Elementary Number Theory. An Introduction to the Theory of Numbers (5th Edn. Elementary Number Theory (6th Edn. integrating factors.). Springer. homogeneous equations. applications Higher-order linear equations Page | 146 . Moebius function Fermat’s little theorem. S. variation of parameters. UTM David Tall and Ian Stewart. Oxford University Press.). reduction of order Second-order linear equations: equations with constant coefficients. McGraw Hill.). Zuckerman. Niven. Euler phi function. Chapman & Hall (4) MTH 306: Ordinary Differential Equations Pre-requisites: MTH 303 Real Analysis I • • • First-Order Linear equations: exact equations. 1977 I. Mendelson. Principles of Mathematical Analysis (3rd Edn.• • • • by contradiction Arithmetic functions: Divisor function. Wilson’s theorem. H. Rudin. Theory of ordinary differential equations. height balance tree. Tata-McGraw Hill 2009 • G.• • • • Some basic concepts of Fourier series Quick review of elementary linear algebra. Lectures on ordinary differential equations. Rota. implementations and applications of basic data structures Array. Dover. Picard’s existence and uniqueness theorem. dequeue. Levinson. Paperback edition. Differential equations. 199 MTH 307: Programming and Data Structures • • • (4) • Programming in a structured language such as C Data Structures: definition. Fibonacci search. Poincare-Bendixson theory Suggested Reading: • George F. Birkhoff & G. New York. hashing techniques Page | 147 . operations. threaded binary tree. Simmons & Steven Krantz. digital search tree. Paperback edition. Sturm comparison theorem Systems of first-order equations. Paperback edition. stack. Tata-McGrawa Hill. 1989 • E. Liapunov’s direct method. generalized list Binary search. queue. John Wiley &Sons. homogeneous linear systems with constant coefficients Non-linear equations: critical points and stability. Ordinary differential equations. heap. Hurewicz. binary search tree. orthogonal list. 2008 • W. Coddington & N. double linked list. C. priority queue. binary tree and traversal algorithm. B-tree. colourings. Harary. Brualdi. generating functions. binomial coefficients. inclusion-exclusion principle.Suggested Reading: • Donald E. Knuth.4). A First Course in Graph Theory. The Grassman Ring Page | 148 . Cioaba & M. M.). Addison Wesley • V. J. pigeon-hole principle and Ramsey theory Graph theory: definition. Aho. TRIM Series. Eulerian graphs. Richie. Murty. Prentice Hall MTH 308: Combinatorics and Graph Theory • (4) • Combinatorics: Elementary principles of combinatorics (permutations and combinations). HBA MTH 311: Advanced Linear Algebra • (4) Linear transformations and Determinants : The algebra of linear transformations. GTM • S. R. trees. U. Data Structures & Algorithm. Ullman. Graph Theory (1st Ed. D. network flows Suggested Reading: • R. Multi-linear functions. E. connectivity. The art of computer programming (five volumes. Kernighan. S. Addison Wesley • W.). Introductory Combinatorics (5th Ed. The C Programming Language. E. Springer. 0 . Graph Theory. directed graphs. A. degree sequences. Prentice Hall • F. isomorphisms. recurrence relation. M. Ram Murty. Westview Press • Bondy. Hopcroft & J. • • • • Elementary canonical forms : Characteristic Values, Annihilating Polynomials, Invariant subspaces, Simultaneous Triangulation and Diagonalization, The Primary Decomposition Theorem, S-N Decomposition, Canonical forms and Differential Equations The Rational and Jordan Forms : Cyclic subspaces and annihilators, Cyclic decompositions and the Rational form, The Jordan Form, Computation of Invariant factors, Semi-simple operators Operators on Inner product spaces : Forms on Inner product spaces, Positive forms, Spectral Theory, Unitary Operators, Normal Operators Bilinear forms : Bilinear forms, Symmetric bilinear forms, Skew-symmetric bilinear forms Suggested Reading: • • • K. Hoffman and R. Kunze, Linear Algebra, Prentice-Hall, 1961 Serge Lang, Linear Algebra (2nd Edition), Addition-Wesley Publishing, 1971 M.W. Hirsch and S. Smale, Differential equations, dynamical systems and linear algebra, Pure and Applied Mathematics, Vol. 60, Academic Press, 1974 P. Halmos, Finite dimensional vector spaces (2nd Edition), Undergraduate texts in Mathematics, Springer-Verlag New York Inc., 1987 Serge Lang, Algebra, Graduate Texts in Mathematics (3rd Edition), Springer-Verlag New York Inc., 2005 • • Page | 149 MTH 401: Fields and Galois Theory Pre-requisites: MTH 301 Groups and Rings • • • • • • • • • • (4) Polynomial rings, Gauss lemma, Irreducibility criteria Definition of a field and basic examples, Field extensions Algebraic extensions and algebraic closures Classical Straight hedge and compass constructions (optional) Splitting fields, Separable and Inseparable extensions Cyclotomic polynomials, Galois extensions Fundamental theorem of Galois theory Composite and Simple extensions, Abelian extensions over Q Galois groups of polynomials, Solvability of groups, Solvability of polynomials Computations of Galois groups over Q Suggested Reading: • • D. S. Dummit, R. M. Foote, Abstract Algebra (2nd Ed.), Wiley S. Lang, Algebra (3rd Ed.), Pears (4) MTH 403: Real Analysis II Pre-requisites: MTH 303 Real Analysis I • • • • Vector-valued functions, continuity, linear transformations, differentiation, total derivative, chain rule Determinants, Jacobian, implicit function theorem, inverse function theorem, rank theorem Partition of unity, Derivatives of higher order Riemann intergration in Rn, differentiation of integrals, change of variables, Fubini’s theorem Page | 150 • Exterior algebra, simplices, chains of simplices, Stokes theorem, vector fields, divergence of a vector field, Divergence theorem, closed and exact forms, Poincare lemma Suggested Reading: • • • David Widder, Advanced Calculus, second edition, Dover, 1989 M. Spivak, Calculus on manifolds, fifth edition, Westview Press, 1971 J. Munkres, Elementary Differential topology, Princeton University Press, 1966 (4) MTH 404: Measure and Integration Pre-requisites: MTH 403 Real Analysis II • • • • • Topology of the real line, Borel, Hausdorff and Lebesgue measures on the real line, regularity properties, Cantor function σ-algebras, measure spaces, measurable functions, integrability, Fatou’s lemma, Lebesgue’s monotone convergence theorem, Lebesgue’s dominated convergence theorem, Egoroff’s theorem, Lusin’s theorem, the dual space of C(X) for a compact, Hausdorff space, X Comparison with Riemann integral, improper integrals Lebesgue’s theorem on differentiation of monotonic functions, functions of bounded variation, absolute continuity, differentiation of the integral, Vitali’s covering lemma, fundamental theorem of calculus Holder’s, inequality, Minkowski’s inequality, convex functions, Jensen’s inequality, Lp spaces, Riesz-Fischer theorem, dual of Lp spaces Page | 151 Suggested Reading: • • • • • • W. Rudin, Real and Complex Analysis, third edition. TataMcGraw Hill, 1987 H. Royden, Real Analysis, third edition, Prentice-Hall of India, 2008 R. Wheeden, A. Zygmund, Measure and Integral, Taylor and Francis, 1977 J. Kelley, T. Srinivasan, Measure and Integral, Volume I, Springer, 1987 Rana, An Introduction to Measures and Integration, Narosa Publishing House E. Lieb, M. Loss, Analysis, Narosa Publishing House (4) MTH 405: Partial Differential Equations Pre-requisites: MTH 306 Ordinary Differential Equations • • • • • First-order equations: linear and quasi-linear equations, general first-order equation for a function of two variables, Cauchy problem, envelopes Higher-order equations: Cauchy problem, characteristic manifolds, real analytic functions, Cauchy-Kovalevski theorem, Holmgren’s uniqueness theorem Laplace equation: Green’s identity, Fundamental solutions, Poisson’s equation, Maximum principle, Dirichlet problem, Green’s function, Poisson’s formula Wave equation: spherical means, Hadamard’s method, Duhamel’s principle, the general Cauchy problem Heat equation: initial-value problem, maximum principle, uniqueness, regularity Page | 152 Gauss’ Theorema Egregium. Introduction to Partial differential equations. Partial differential equations. Struik. tangent plane. Princeton University Press. Springer. Differential Geometry of Curves and Surfaces. Partial differential equations. orientation. torsion. area. American Mathematical Society GSM series. Partial differential equations. Gauss map. B. 1991 L. Folland. J. Rauch. Prentice Hall. 1995 J. Dover. isometries of surfaces. GTM 128. Elementary Differential Geometry. 2004 Manfredo do Carmo. Springer. 1976 D. Frenet formulas Surfaces : parametrization. second fundamental form. orientability. 1988 Page | 153 .Suggested Reading: • • • • F. 1982 G. arc length. Springer. 2nd edition. tangent vector. 4th edition. Gauss curvature. first fundamental form. Evans. Lectures on Differential Geometry. ruled and minimal surfaces Geodesics. 1998 (4) MTH 406: Differential Geometry of Curves and Surfaces Pre-requisites: MTH 306 Ordinary Differential Equations • • • • Curves : curves in space. Codazzi-Mainardi equations Gauss-Bonnet theorem for compact surfaces Suggested Reading: • • • Pressley. curvature. John. Indian reprint. open mapping theorem. complex powers. Cauchy's integral theorem in a disc. Casorati Weierstrass theorem. Schwarz reflection principle Series representation of analytic functions: Taylor series. Mobius transformations Complex integration: contour integrals. Cauchy Riemann equations. 2006 (4) MTH 407: Complex Analysis I Pre-requisites: MTH 303 Real Analysis I • • • • • • • Complex numbers: powers and roots. Liouville’s theorem. definition of a holomorphic function Elementary functions: sequences and series. trigonometric. Academic Press (Elsevier). geometric representation. calculation of certain improper integrals. complex exponential. power series. Maximum Principle Residue theory: residue formula. Cauchy’s Integral Formula. zeros and singularities. continuity and differentiability. the argument principle and Rouche's theorem Conformal mappings: conformal maps. Schwarz lemma and automorphisms of the disk and the upper half plane Page | 154 . Fundamental Theorem of Algebra. Laurent decomposition. Elementary Differential Geometry. and hyperbolic functions. the logarithm function.• Barrett O’Neill. Morera’s theorem. Second edition. stereographic projection Complex differentiability: limits. Riemann’s theorem on removable singularities. multiple integrals Solution of linear algebraic equations: direct methods. Stein. Gauss elimination. AMS Chelsea. Princeton University Press. (4) • • • • Page | 155 . pivoting. Complex Analysis. Romberg integration. matrix factorizations Iterative methods: matrix norms. divided differences. relaxation methods Computation of eigenvalues and eigenvectors: power method. 2001 • John B. 1978 • E.Suggested Reading: Texts • Elias M. 1991 • C. Theory of Complex Functions. Hermite interpolation. Rami Shakarchi. splines. Theory of Functions of a complex variable. Gauss quadrature.Busam. Freitag and R. Springer. Remmert. 2001 MTH 408: Numerical Analysis Pre-requisites: MTH 303 Real Analysis I • • Round off errors and computer arithmetic Interpolation: Lagrange interpolation. 1979 • R. Complex Analysis. Jacobi and Gauss-Siedel methods. Springer Verlag. 2003 • Theodore W. Caratheodory. Springer Verlag. Complex Analysis. McGrawHill. Richardson extrapolation Numerical Integration: trapezoidal. Conway. Simpsons. Functions of one Complex Variable I. Gamelin. numerical differentiation. Springer. 2005 References • Lars Ahlfors. Newton-Cotes. Complex Analysis (Princeton Lectures in Analysis). volumes 1 and 2. C. duality theorem. De Boor. Linear Programming. R. Sofer. two phase simplex method. Theory and Practice. Elementary Numerical Analysis. zeroes of polynomials Suggested Reading: • • • • R. Lagrange multipliers method. McGraw-Hill. A Survey of Numerical Mathematics. QR algorithm Numerical solutions of non-linear algebraic equations: bisection. SIAM. 1988 (4) MTH 409: Optimization Techniques Pre-requisites: MTH 303 Real Analysis I • • • Maxima and minima.• householders method. second edition. J. secan and Newton's. zero-sum twoperson games. 1980 D. T. D. Faires. non-linear programming. Murty. Wiley. Gregory. Numerical Analysis and Computation. D. 1983 Griva. Dover. 2008 Page | 156 . branch and bound method of integer linear programming Dynamic programming. formulation of optimization problems. integer programming problems Convex sets. M. K. Bellman’s principle of optimality Suggested Reading: • • Katta G. Linear and Non-linear Optimization. Nash. simplex method. separating hyperplanes theorem. Blum. Dover. Young. A. linear programming. Revised edition. third edition. L. S. 2010 S. Conte. Numerical Analysis E. Burden. Lie group homomorphisms and isomorphisms. dual representations. Semisimple Theory: Representations of SU(3). Wiley Inter-Science. 222. • • • Suggested Reading: • Hall. 2006 (4) MTH 411: Introduction to Lie Groups and Lie Algebras Pre-requisites: MTH 311 Advanced Linear Algebra. third edition. complexification of a real Lie algebra. complete reducibility. Sherali. Lie algebras: matrix exponential and matrix logarithm. Bazaraa. Wulf. Lie subalgebras. Rossmann. Cartan subalgebras. MTH 301 Groups and Rings • Matrix Lie Groups: Definition and examples. Semisimple Lie algebras. polar decomposition. 2002. direct sum ad tensor product of representations. Lie Groups: An Introduction through Linear Groups. the WeyI group. Brian Lie Groups. Lie subgroups. Baker-CampbellHausborff formula.• M. C. H. Graduate Texts in Mathematics. weights and roots. irreducible representations of su(2). Shetty. Non-linear Programming: Theory and Algorithms. the Lie algebra of a matrix Lie group. unitary representations. • Page | 157 . and Representations. Schur’s Lemma. 2003. Oxford University Press. root systems. Springer Verlag. Representation Theory: standard and adjoint representations. Vol. Oxford Graduate Texts in Mathematics 5. Lie Algebras. Baker. Duality and Natural embedding. 1973. 2002. applications to Fourier analysis. Tata McGraw Hill. Riesz representation theorem. James E. (4) MTH 503: Functional Analysis Pre-requisites: MTH 304 Metric Spaces and Topology. self-adjoint. Diagonalization of compact self-adjoint operators. 9. Spectral theorem for compact normal operators. Normed linear spaces and Banach spaces. Orthogonal complements. Gram-Schmidt process. conjugate spaces. Simmons. Compact operators. weak* topology. Uniform boundedness theorem.F. revisiting dual of Lp and Riesz-Fisher theorem. Introduction to Lie Alogebras and Representation Theory. Orthonormal sets and Bessel's inequality. complete orthonormal sets. Banach-Alaglou's theorem. Open mapping and Closed graph theorem. Introduction to Topology and Modern Analysis. semilinear functionals and their extensions. Springer. • • Suggested Reading: • G. normal and unitary operators. Spectral Theorem (General discussion): Projections and idempotents. Graduate Texts in Mathematics. Springer Veriag. MTH 404 Measure and Integration • Banach Spaces: Algebras. Andrew. adjoint. HahnBanach theorem. 2008 Page | 158 .• • Humphreys. Continuity and boundedness of linear functionals and their norm. Matrix Groups: An Introduction to Lie Group Theory. Vol. Hilbert Spaces: Definition and examples. • • • • • • W. Graduate Studies in Mathematics. Hindustan Book Agency Martin Schechter. mean-value property. GTM 96. Kesavan. Hirsch and G. Schwarz reflection principle. American Math. Phragmen-Lindelof theorem Approximations by rational functions: Runge’s theorem. Schwarz lemma. Conway. complex integration. Poisson integral formula. Functional Analysis. Springer S. A course in Functional analysis. Cauchy-Riemann equations. Cauchy’s theorem and Cauchy’s integral formula. MTH 503 Functional Analysis • Review of elementary concepts: Complex differentiation. 1973 J. 2nd Ed (4) MTH 504/604: Complex Analysis II Pre-requisites: Required: MTH 303 Real Analysis I. MTH 407 Complex Analysis Desirable: MTH 304 Metric Spaces and Topology. 2nd Ed B. GTM 192. 1990 F. Dirichlet problem Maximum modulus principle: Maximum modulus theorem. Soc. Taylor and Laurent series. Springer. Lacombe. McGraw Hill Book Company. TRIM 52. residue theorem. definition of a meromorphic function. Elements of Functional Analysis. Harmonic functions: definition and properties. New Age books.V. Mittag-Leffler theorem • • • Page | 159 .B. holomorphicity. Principles of Functional Analysis. Functional Analysis. Rudin. Functional Analysis. Limaye. 2011 • Ahlfors L. 1979.. Gamma function Suggested Reading: Texts: • Stein E. Weierstrass factorization theorem... I and II.B. Montel’s theorem. Functions of One Complex Variable. McGraw-Hill.M. Princeton University Press. Classical topics in complex function theory. Infinite products. 1978 • Rudin W. and Shakarchi R. McGraw-Hill. SpringerVerlag NY..• • Conformal mappings: definition and examples. Theory of functions of a complex variable. Complex Analysis (Princeton Lectures in Analysis Series. Jones and Bartlett. Real and Complex Analysis. II). 2006 • Epstein B... Springer 1997 Page | 160 . Chelsea Pub Co. space of holomorphic functions. statement of Riemann mapping theorem Entire functions. Vol.. References: • Carathodory C. Complex Analysis. Lars Ahlfors. Vol. little and big Picard Theorems. Classical Complex Analysis. NY 1954 • Remmert R. 2003 • Conway J. and Hahn L-S. Topological pressure and the variational principle. An Introduction to Ergodic Theory. applications of the ergodic theorem (continued fractions. Borel normal numbers. minimality. New York. the doubling map. and their relationship. recurrence and ergodic theorems (Poincare recurrence. factors and natural extensions. Walters. thermodynamic formalism and transfer operators. Birkhoff's ergodic theorem). toral automorphisms. ergodic measures for continuous transformations and their existence.maps on the circle. (ii) central limit theorems. mixing and spectral properties. Weyl’s equidistribution theorem. SpringerVerlag. topological entropy. Information and entropy . Skew products. applications of thermodynamic formalism: (i) Bowen's formula for Hausdorff dimension. Topological and Symbolic dynamics: transitivity. MTH 404 Measure and Integration • Discrete Dynamical systems: definition and examples . shifts of finite type. induced transformations. Ergodic Theory: invariant measures and measure-preserving transformations. topological mixing. Von Neumann's ergodic theorem. topological conjugacy and discrete spectrum.MTH 505: Introduction to Ergodic Theory (4) Pre-requisites: MTH 304 Metric Spaces and Topology. measure-theoretic. ergodicity.topological. • • • Suggested Reading: • P. circle maps and rotation number. Kac's lemma. 1982 Page | 161 . suspensions and towers. Khintchine’s recurrence theorem). topological dynamical properties of shift spaces. good kernels. Hindustan Book Agency. 2002 M. Yuri. Topics in Ergodic Theory. A continuous function with diverging Fourier Series Applications of Fourier Series : The isoperimetric inequality. MTH 405 Partial Differential Equations: Basic knowledge of Laplacian. Dynamical systems and Ergodic theory. Weyl’s equidistribution Theorem. Introduction to Dynamical Systems. The heat equation Definition of Fourier series and Fourier coefficients. Poisson Kernel and Dirichlet’s problem in the unit disc Mean-square convergence of Fourier Series. Parry. B.B. Stuck. New York.G. Halmos. Convolutions. Cesaro/Abel means. Pollicott and M. Heat and Wave equations • • The vibrating string. Chelsea. RiemannLebesgue Lemma. Basic Ergodic Theory. Hasselblatt. derivation and solution to the wave equation. CUP. W. 2004 A. Brin and G. 1995 (4) MTH 506/610: Fourier Analysis on the Real Line Pre-requisites: MTH 404 Measure and Integration. A continuous nowheredifferentiable function. Bollobas. Cambridge. Lectures on Ergodic Theory. India M. Fulton. Nadkarni. 1998 P. Introduction to the Modern Theory of Dynamical Systems. Uniqueness. Uniform boundedness principle. Katok and B. 1956 W.• • • • • • M. CUP. completeness. MTH 503 Functional Analysis: Normed linear spaces. R. CUP. The heat equation on the circle • • Page | 162 . Second Edition. Definition of X-ray transform in R2 and Radon transform in R3. 2000 • L. Poisson Kernels (If time permits/possible project topic) Definition of Fourier transform on Rd. Shakarchi. 2008 MTH 507: Introduction to Algebraic Topology (4) Pre-requisites: MTH 301 Groups and Rings. MTH 304 Metric Spaces and Topology • The Fundamental Group: Homotopy. The Borsuk-Ulam Theorem. Fundamental Group. Princeton Univ Press.• • Schwartz space*. Classical Fourier Analysis (Graduate Texts in Mathematics). Grafakos. Rudin. Distributions*. AMS. Fourier Analysis (Graduate Studies in Mathematics). Springer. 2006 References: • J. Heat kernels. Paley-Weiner Theorem*. 2nd Ed. The Fourier transform on R: Elementary theory and definition. 2003 • (For topics marked with a*) W. Poisson summation formula. Page | 163 .Stein and R. Douandikoetxea. Fourier Analysis: An Introduction. Tata McGraw-Hill. Introduction to Covering Spaces. Retractions and fixed points.M. Connection with Fourier Transform. Functional Analysis. 2nd Ed. The Fundamental Group of the circle S1. Uniqueness Suggested Reading: Texts: • E. Plancherel formula. Fourier inversion. Heisenberg Uncertainty principle. Application to the Fundamental Theorem of Algebra. and Application of Covering Spaces to Cayley Complexes. 1988 M. Unique Lifting Property. Algebraic Topology. Springer International Edition. and Fundamental group the torus T2=S1×S1. Algebraic Topology: An Introduction . R. Fundamental group of a product of spaces. Greenberg and J. Fundamental Group of a Wedge of Circles. Spanier. Rotman. Topology (2nd Edition). Springer. and the real projective n-space RPn. The Van Kampen Theorem. 2002 M. Normal or Regular Covering Spaces. Cambridge University Press. 2004 W. J. Group Actions. Covering Spaces: Universal Cover and its existence. Covering Space Actions. n-sphere Sn. Munkres. Springer. Definition and construction of Cell Complexes. Amstrong. 2000 Hatcher. Representing Covering Spaces by Permutations – Deck Transformations.• • Homotopy Equivalence and Deformation Retractions. J. Statement of the Classification Theorem for Surfaces. Pearson Publishing Inc. 1981 E. 1977 J. Springer. Algebraic Topology: A First Course. Harper. Algebraic Topology. R. Van Kampen’s Theorem: Free Products of Groups. S. Perseus Books Publishing. H. 1994 Page | 164 . A. An Introduction to Algebraic Topology. Application to Van Kampen Theorem to Cell Complexes. Suggested Reading: • • • • • • • J. Galois Correspondence of covering spaces and their Fundamental Groups. Basic Topology. and Fundamental groups of the closed orientable and non-orientable surfaces of genus g. Massey. distributions and the Frobenius theorem Lie groups: definition and examples. the exterior algebra. cotangent bundle. action of a Lie group on a manifold.MTH 508/608: Introduction to Differentiable Manifolds and Lie Groups (4) Pre-requisites: MTH 303 Real Analysis I. MTH 306 Ordinary Differential Equations. Whitney embedding theorem Vector fields: vector fields. immersions. singular chains. differentiable simplex in a manifold. tangent bundle. inverse function theorem. Lie subgroups and closed subgroups. tangent vectors and tangent space at a point. submersions. the exponential map. Sard’s theorem. statement of the existence theorem for ordinary differential equations. covector fields or 1-forms on a manifold. homogeneous manifolds: definition and examples Tensor fields and differential forms: cotangent vectors and the cotangent space at a point. differential of a smooth map. one parameter and local one-parameter groups acting on a manifold. a quick review of Riemann integration in Euclidean spaces. differentiable functions. integration of forms over singular chains in a manifold. tensor product. MTH 304 Metric Spaces and Topology. integration of n-forms over regular domains in an oriented • • • • Page | 165 . manifolds with boundary. symmetric and alternating tensors. existence of partitions of unity. MTH 403 Real Analysis II • Differentiable manifolds: definition and examples. submanifolds. tensor fields and differential forms on a manifold. tensors on a vector space. implicit function theorem. definition of Lie algebra. the Lie derivative and the Lie algebra of vector fields. the exterior algebra on a manifold Integration: orientation of a manifold. Warner. Differential topology. 2002 • W. A comprehensive introduction to differential geometry. Milnor.manifold of dimension n. T. Westview Press. 1984 • V. An Introduction to differentiable manifolds and Riemannian geometry. 2010 • J. Manifolds. Theory of Lie groups. Guillemin and A. 1999 References: • G. Princeton University Press. Springer. 1988 Page | 166 . Munkres. Vol. definition of de Rham cohomology of a manifold. Boothby. Springer. 1999 • R. Topology from the differentiable viewpoint. Poincare lemma Suggested Reading: Texts: • J. Introduction to smooth manifolds. tensor analysis. Pollack. Foundations of differentiable manifolds and Lie groups. Ratiu. 1997 • J. Stokes theorem. Chevalley. Springer. Analysis on manifolds. Princeton University Press. 1983 • M. 2002 • F. J. Differentiable manifolds: forms. Spivak. GTM 94. and applications. Lee. Springer.. de Rham. AMS Chelsea. 1. Academic Press. 199 • 01254217 • C. statement of de Rham theorem. currents and harmonic forms. Marsden. Publish or Perish. Abraham. ordinary differential equations. Parseval’s identity. completeness of eigenfunctions Illustrative boundary value problems: A technique to solve inhomogeneous equations using Sturm-Liouville expansions. dominated convergence theorem Sturm-Liouville Systems: linear differential operators. second-order. a brief discussion on Cesaro summability and Gibbs phenomenon Orthogonal Expansions: A quick review of L2 spaces on an interval. Dirichlet problem in a rectangle and a polar coordinate rectangle Maximum Principle and applications: maximum principle for linear. Bessel’s inequality. regular and singular Sturm-Liouville systems. MTH 404 Measure and Integration • Fourier Series: Fourier series of a periodic function. Green’s functions. convergence. Lagrange’s identity. distribution of eigenvalues. self-adjoint operators. eigenfunctions. Liouville normal form. sufficient conditions for uniform and absolute convergence of a Fourier series. Prufer substitution. • • • • Page | 167 . completeness.MTH 509/609: Sturm-Liouville Theory (4) Pre-requisites: MTH 306 Ordinary Differential Equations. question of point-wise convergence of such a series. one dimensional inhomogeneous heat and wave equations. formal adjoint of a linear operator. Sturm comparison and oscillation theorems. Fourier series on intervals. examples of boundary value problems for the one dimensional heat and wave equations illustrating the use of Fourier series in solving them by separating variables. Sturm-Liouville series. normalized eigenfunctions. behavior of the Fourier series under the operation of differentiation and integration . orthonormal systems. one dimensional heat and wave equations with inhomogeneous boundary conditions. mixed boundary conditions. H. AMS • Protter. zeros of orthogonal polynomials on an interval. Legendre functions and spherical harmonics. asymptotics and zeros of Bessel functions Suggested Reading: Texts: • Birkhoff. Dover Page | 168 . Hermite equation. and a recurrence relation satisfied by them Bessel Functions: Bessel’s equation.. Ordinary Differential Equations. Fourier Analysis & Its Applications. G.. & Churchill. G & Rota G. the eigenvalue problem. Maximum Principles in Differential Equations. identities. Fourier Series and Boundary Value Problems. an extension of the principle to non-linear equations Orthogonal polynomials and their properties: Legendre polynomials. Laguerre equation. D. John Wiley & Sons • Folland. Hermite functions.• • generalized maximum principle for such equations.. McGraw-Hill • Jackson.. J. Hermite polynomials. applications to initial and boundary value problems.. R. M. Springer References: • Brown. Fourier Series and Orthogonal Polynomials. & Weinberger. Laguerre polynomials. Legendre equation. 3rd Edition. Finite fields. Algebraic closure. Riemann integration in Rn. Modules. Normal extensions. Algebraic extensions. n≥1. Power series ring. Splitting fields. the inverse function theorem. rings of endomorphisms. Algebra. Suggested Reading: • • • • S. Jordan-Hölder theorem. Polynomials in one and several variables. Gauss lemma.J. quotient modules. Basic Algebra I and II. Projective and Injective modules. Category and Functor. Jacobson. Dual modules. Chinese remainder theorem. Separable and inseparable extensions. Groups. the contraction mapping theorem. group actions. Direct and Inverse limit. group of units in power series ring. Finitely generated abelian groups. Irreducibility criterions. (4) MTH 603: Real Analysis • • Several variable calculus: A quick overview. Universal property of polynomial rings. Addison Wesley. Free. the implicit function theorem. examples as polynomial ring and power series ring. Principal and factorial rings. Page | 169 . Lang. direct product and direct sum of modules. Rings and homomorphisms.MTH 601: Algebra I • • (4) • • • • Monoids. D. Robinson. Birkhoff and McLane. Sylow's theorems. Modules over PID.S. A course in theory of groups. Algebra. Tata McGraw-Hill. 2nd Edition. Shakarchi. measurable functions. Fubini's theorem. Hindustan Book Agency. Fundamental theorem of calculus for Lebesgue integral. Stein and R. TRIM Series 37. Functional Analysis: Introduction to further topics in analysis. Quotient Spaces. Analysis I and II. W.M. the Radon-Nikodym theorem and consequences. Lp spaces. modes of convergence. total variation. product measure. Topological Groups. Real and Complex Analysis. Fundamental Groups and Covering Spaces: Homotopy. Principles of Mathematical Analysis. 3rd Edition. 2nd Edition.• • • Lebesgue measure and integration: Measures. W. Jensen's inequality. Signed measures and differentiation. T. Page | 170 . Princeton lectures in analysis. Compactness. Folland. dual of Lp spaces. complex measures. convolution. completeness. 3rd Edition. (4) MTH 605: Topology I • • General Topology: Connectedness. Wiley. Baire Category Theorem. Suggested Reading: • • • • • G. integration in polar coordinates. Equivalence and Deformation Retractions. Paracompactness. the Riesz representation theorem. 38. Tao. Tata McGraw-Hill. E. the Hölder and Minkowski inequalities. absolute continuity.B. Local Compactness. integration of nonnegative and complex functions. Rudin. convergence theorems. Rudin. Homotopy. Real analysis: Modern techniques and their applications. J. Deck transformations. G. Implicit and Inverce Function Theorems. Springer. 2011. Prentice Hall. W. Munkres. S. Algebraic Topology. Basic Diferential Topology: Differentiable Manifoolds. J. 2007. Group Actions. Vector Fields. Page | 171 . Van Kampen Theorem. An Introduction to Algebraic Topology. Munkres. J. Bredon. Classification of covering spaces. R. Massey.• Fundamental Group. Suggested Reading: • • • • • • Hatcher. Topology. 1988. Cambridge University Press. Second Edition. J. Springer. 1996. Rotman. 2002. A Basic Course in Algebraic Topology. Topology and Geometry. 2006. R. Elements of Algebraic Topology. Westview Press. Regular Values Sard's Theorem. Springer. Collision in laboratory and Center of mass system and Scattering. Motion of gyroscope Non Inertial Frame: Physics in the rotating coordinate system. Rigid body kinematics. reflection and transmission of waves. velocity and acceleration in polar coordinate system. Conservation laws. Center of mass. Kinetics: Force. relativistic mass energy. Central force and Motion of planets and satellites Oscillations and Waves: Small oscillations. Momentum. Doppler effect. Differential equation of one dimensional wave and its solution. polar coordinate system. Q factor and resonance. damped harmonic oscillation and forced oscillation. Variable mass system. time dilation.Physics PHY 101: Mechanics (3) Kinematics: Introduction to coordinate systems. Moment of inertia. Momentum of system of particles. Rigid body motion: Rigid body. Fictitious force. Rigid body kinetics. length contraction. Page | 172 . Frames of reference. Note: Mathematical tools may be introduced as and when required. Lorentz transformation. Relativity: Axioms of relativity. Newton’s laws of motion. vectors D. Kittel. S. Electric potential. R. Electrostatics: Coulomb’s Law. P. Kolenkow. Knight. M.Suggested Reading: • • • • • D. Electric currents: Line. Conductors. R. Page | 173 . Introduction to Mechanics. Stokes Theorem. surface and volume elements Introduction to vector calculus: Gradient. A. . D. Polarization in a dielectric. linear dielectrics. Dirac delta function. Multipole expansion. Verma. surface and volume currents and current densities. energy dissipation. C. Field and Potential due to dipole. Energy of a charge distribution. Ruderman. Sands. Laplace’s and Poisson’s equations (no solutions). Physics. Leighton and M. force on dielectrics. Divergence theorem. Divergence and curl of Fields. Feynman. and A. Boundary conditions. Resnick. Halliday and K. Method of images. D. M. electrical conductivity and Ohm’s law. Gauss’s law (integral and differential form) and its applications. Kleppner and R. An Introduction to Mechanics. Krane. equation of continuity. C. B. R. PHY 102: Electromagnetism (3) Cylindrical and Spherical coordinate systems: Line. Helmholz Mechanics (Berkeley Physics course) Vol 1. 5th Ed. K. W. Vol 1. The uniqueness theorem (statement only). P and E. The Feynman Lecture of Physics Vol 1. Optics: principles and applications. Electromagnetic Wave: EM wave in vacuum and dielectrics. R. P. Introduction to electrodynamics 3rd Ed. Boundary conditions. White. A. para. H. K. Poynting’s theorem. Electricity and Magnetism (Berkeley Physics course) 2nd Ed. Reflection. Hecht. An introduction to modern optics. integral and differential form of Ampere’s law. 4th Ed. G. B and M. Maxwell’s equations. Dia-. K. B. M. the displacement current. J. motional emf and Faraday’s law. Ghatak. Multipole expansion.Motion of charged particles in electric and magnetic fields Magnetostatics: Biot-Savart and Ampere’s law. Introducton to Modern Optics. B and H in bar-magnet. E. divergence and curl of B. transmission. Feynman. K. E. K. Electrodynamics: Electromagnetic induction. Purcell. magnetization in materials. The Feynman Lecture of Physics Vol 2. Magnetic dipoles. Fowles.and ferro-magnetism. refraction of EM wave Suggested Reading: • • • • • • • • • D. Sharma. Optics. Griffiths. R. Page | 174 . Ghatak. vector potential. Leighton and M. inductance and energy in magnetic field. E. F. Optics. Fundamentals of Optics. Jenkins and H. R. Sands. PHY 103: General Physics Laboratory I • • • • • • • • • • • • Measurement of length and error analysis Gyroscope Determination of ‘g’ by bar pendulum Pohl’s Pendulum Determination of ‘g’ by free fall Shear modulus using Tortional pendulum Mechanical hysteresis Young’s modulus Moment of Inertia Velocity of sound using resonance tube Velocity of sound using Kundt’s tube Spring constant (1) PHY 104: General Physics Laboratory II • • • • • • • • • • • • • (1) Malu’s law Newton’s rings Intensity of diffractions due to pin hole diaphragms and circular obstacles Magnetic hysteresis loop Surface tension by the ring method (Du Nouy method) Characteristic curves of a solar cell Dielectric constant of different materials Charging curve of a capacitor Capacitance of metal spheres and of a spherical capacitor Magnetic field of paired coils in Helmholtz arrangement Electromagnetic induction Force of current carrying conductor Fresnel’s equations Page | 175 . Probability current density. Compton effect. Heisenberg uncertainty principle. coherence. phase velocity and group velocity. Bose and Fermi Statistics. hydrogen atom. light as a wave . Solution of Schrödinger equation in particle in a box.PHY 201: Quantum Physics (3) Wave theory and physical optics :Plane wave in 1 d and 3d. bound states of rectangular well potential. Fermi energy. electron diffraction. Schrödinger wave equation. Phase space in 2D and 3D (classical and quantum). Dynamical variables and corresponding Operators. expectation values. stationary states. Photon gas. S=kB lnΩ). Bose Einstein Condensation Page | 176 . Angular momentum. Free electron gas. potential barriers and tunneling (eg STM. Wave particle duality. simple harmonic oscillator. Young's double slit experiment. de Broglie wavelength. spin angular momentum. Wave function and Born’s interpretation. polarization Introduction to quantum mechanics: Photoelectric effect. wave equation.nterference. diffraction by single slit and circular aperture. Elements of statistical physics: Classical statistics (Arguments leading to Boltzmann Law. Planck’s radiation law and its consequences. Specific heat of metals. Position and linear momentum. AFM). representation of a wave. Wave packet. Identical particles. Op amps: basics. Concept of Modern Physics. Feynman. Quantum Physics. H. B. Verma. Simple rectifier and amplifier circuits. Physics of diodes and transistors. Functioning and characteristics of commonly used analog ICs such as voltage regulators and power supplies. Band theory of solids (basics). Leighton and M. memory and storage. overview of commonly used CMOS and TTL chips. K.Elements of Nuclear Physics: Shell Model. Mani and G. Survey of Op-amps. P. Nuclear fusion and fission. AD and DA converters Page | 177 . waveform generators etc). characteristics and applications (filters. R. The Feynman Lecture of Physics Vol 3. Suggested Reading: • • • • Beiser. Physics of p-n junction. terminal characteristics of diodes transistors and FET’s. Logic Gates ALUs Flip Flop. instrumentation amplifier. C. R. H. Weizsaecker mass formula. Mehta: Introduction to Modern Physics. Sands. Introduction to analog ICs. outline of microprocessor functioning. Shift registers. (3) PHY 202: Basic Electronics Network theorem and its applications. Counters. S. (1) PHY 203: General Physics Laboratory III • • • • • • • • • • • • e/m ratio using a pair of Helmhotz coils Magnetic torque Electron diffraction Stefan-Boltzmann’s law of radiation Coils in AC circuit. D. Leach.Suggested Reading: • • • • • • P. Gayakwad. Electronic Devices. 4th Ed. Transistor characterstics. capacitor in the AC circuit and RLC circuit Dispersion and resolving power of prism and grating spectroscope Fine structure. Digital computer electronics. one and two electron spectra Balmer series/determination of Rydberg’s constant Atomic spectra of two-electron systems: He. P. Malvino and J. CE amplifier and frequency response. Floyd. T. R. Principle of Digital Electronics. B. Linear Integrated Circuits. Malvino and D. P. Choudhary and S. The Art of Electronics. P. Jain. Hill. R. Op-Amps and Linear Integrated Circuits. Hg Thermal and electrical conductivity of copper and aluminum Determination of Planck’s constant Rotational Spectra of Iodine vapor (1) PHY 204: Electronics Laboratory • • • p-n and Zener characterstics. A. Horowitz and W. Page | 178 . Brown. L. ODEsingular points. RS. Analog to digital and Digital to analog converter. Conformal mapping Ordinary differential equations (with constant coefficients). Op-amp:Inverting and non-inverting amplifier.Integrator/differentiator. JFET and MOSFET characterstics. Thevenin’s and Norton theorem (4) PHY 301: Mathematical Methods I Vectors analysis in curvilinear coordinates. The Gamma function. Arfken and H. Mathematical Methods for Page | 179 . Multiplexer and demultiplexer. Clipper and clamper circuits. saddle point method. Astable and Monostable Oscillator using IC555. Tensor analysis (Cartesian only) Matrices. Evaluation of integrals. Op-amp: Adder/subtracter. branch cuts and branch points. Eigenvalues and Eigenvectors. Diagonalization of matrices Review of Complex variables (MTH 202): Multiple valued function. Weber. Legendre. Methods of solutions. Binary full adder. Transformation of matrices.• • • • • • • • • • • • Hartley and Colpitts oscillator. Bessel. Analytic continuation. Boolean algebra. J.D and JK flip flop. Hermite and Laguire equations and their solutions Suggested Reading: • B. Hildebrand. Lie Algebras. Mathews and R. Page | 180 . A. Green’s functions. (4) PHY 302: Mathematical Methods II Prerequisite: PHY 301: Mathematical Methods I Sturm-Liouville theory. Ghatak. H. Mathematical Physics: The Basics. Mathematical Methods for Physics. Solution of Laplace and Poisson’s equations. Permutation Groups. Methods of Applied Mathematics. Mathematical Physics. Mathematics for Physicists. Mathematical Method of Physics. K. Finite Groups. Boas. Continuous Groups. P. Generalized functions: Dirac delta function Partial Differential equations. Joglekar. Orthogonal expansions Fourier series expansion and Fourier integrals. Krzywicki. J. their use in some simple problems. L. S. K.• • • • • • • • • • Physicists. B. Fourier and Laplace transforms. P. Dennery and A. S. F. D. Mathematical Physics. Representation of Unitary and rotation group. M. Mathematical Methods in Physical Sciences. Hassani. 6th Ed. L. Mathematical Methods of Physics. Wave equation Integral equations Introduction to Groups Representations. W. Wyld. Elements of Group Theory for Physicist. Walker. Joshi. W. Chattopadhyay. A. K. Methods of Applied Mathematics. Ghatak. Mathews and R. S. S. Krzywicki. Probability interpretation and probability current. Wyld. Hassani. M. J. Mathematical Methods for Physicists. W. Mathematical Physics: The Basics. J. Mathematical Methods of Physics. Hildebrand.Suggested Reading: • • • • • • • • • • • B. Chattopadhyay. H. Mathematical Physics. 6th Ed. Mathematics for Physicists. Mathematical Methods for Physics. F. W. Arfken and H. Mathematical Methods in Physical Sciences. Mathematical Method of Physics. Joshi. D. K. P. Blackbody radiation (Rayleigh-Jeans Law). L. B. Joglekar. L. Elements of Group Theory for Physicist. Dennery and A. Descriptions of wave packets and its evolution Page | 181 . (4) PHY 303: Quantum Mechanics I Need for Quantum Theory: (Brief review of PHY 201) Particle nature of elctromagnetic wave: Photoelectric effect. P. Expectation values of dynamical variables. Mathematical Physics. Weber. Compton effect Wave properties of particle: Electron diffraction Discrete energy levels: Bohr atom Schrodinger Equation: Uncertainty Principle. Coordinate and momentum representations. Boas. Walker. Brief descriptions of potential step. Hydrogen atom Charged particle in Electromagnetic field: Gauge invariance of Schrodinger equation. Simultaneous eigenstates of commuting operators. Spherical harmonics. Classical limit – Ehrenfest’s theorem. Sakurai. Larmor frequency. Introduction to Dirac’s notation. P. Theory of Angular Momentum: Orbital angular momentum and eignevalue problem. Eigenvalues. Dirac-delta potential. J.Principles of Quantum Mechanics: Hermitian operators. Verma. Leighton and M. PHY 402). EPR paradox Suggested Reading: • • • H. Spin angular momentum. Brief discussions on normal and anomalous Zeeman effect (Further details in Atomic and Molecular Physics course. B. Quantum Physics (Surya Publn) R. Applications to alpha-decay Formalism: Generalized uncertainty principle. Sands. R. vector spaces. Stationary states One Dimensional Problem: Harmonic Oscillator – creation and annihilation operators. addition of angular momentum Central Potential: Bound states in three dimensions. Bell’s inequality. The Feynman Lecture of Physics Vol 3 (Narosa Publ. scattering states and resonances. barrier and well (already covered in PHY 201) – Ideas of bound states. Modern Quantum Mechanics (Pearson) of Page | 182 .) J. C. Feynman. Landau levels Foundational Issues: Measurements and interpretations Quantum Mechanics. 2nd Ed. (Butterworth-Heinemann) (4) PHY 304: Quantum Mechanics II Prerequisite: PHY 303 Quantum Mechanics I.E. (Vol I and II) (John Wiley and Sons) R. D. PHY 301 Mathematical Methods I Theory of Spin: Stern-Gerlach experiment. Oxford Science Publications) C. Fermi’s Golden rule. 3rd Ed. Quantum Mechanics NonRelativistic Theory. Quantum Mechanics 2nd Ed (Pearson Education) D. J. M. J. Quantum Mechanics . Lifshitz. Addition of angular momentum Approximation Methods for Stationary States: Time Independent Perturbation Theory: Formalism. A. Landau and L. (4th Ed. Griffiths. 3rd Ed. Dirac. H. (IOP publishing) E. Application to matter-radiation Page | 183 . Quantum Mechanics. (c) Darwin term. (Pearson) P. Joachain. Bransden and C. Principles of Quantum Mechanics. WKB method: Descriptions of tunneling Variational method: Application to He atom ground state Time Dependent Phenomena: Formalism. 2nd Ed (Springer) A.• • • • • • • • B. 4th Ed. Introduction of Quantum Mechanics. M. M. Adiabatic approximations. Quantum Mechanics. Shankar. Cohen-Tannoudji. Applications to relativistic corrections (‘fine structure corrections’) to atom (a) Relativistic K. Formulation of spin ½ states. (b) Spin-Orbit couplings. I. The Principles of Quantum Mechanics. (Hamilton Printing Company) L. Rae. Pauli matrices. Merzbacher. Quantum Mechanics. B. Quantum Mechanics NonRelativistic Theory. Shankar. Rae. H. Dirac Equation. Bransden and C. D. Sands. L. Non-relativistic limit of the Dirac equation Suggested Reading: • • • • • • • • • • • H. Quantum Mechanics. Merzbacher. Modern Quantum Mechanics. Feynman. J. Emissions and absorptions of photons. Introduction of Quantum Mechanics. Page | 184 . E. C. J. Magnetic moments. Cohen-Tannoudji. Applications to Lasers Scattering by a Potential: Formalism. Principles of Quantum Mechanics. (Vol I and II). Griffiths. R. I. Dirac. Born approximations. P. Quantum Mechanics. Joachain. Plane wave solutions. J. Quantum Physics. B. A. Verma. C. Selection rule for electric dipole transitions. Partial wave analysis Symmetries in quantum mechanics Relativistic Quantum Mechanics: Klein Gordon Equation. Sakurai. R. M. Landau and L. The Principles of Quantum Mechanics. Leighton and M. M. Lifshitz. R. M. Negative energy states. Spin. The Feynman Lecture of Physics Vol 3.interactions. D. Quantum Mechanics. J. P. Hilborn. N. Puranik. Page | 185 . Anharmonic oscillators. Joag. Rana and P. Symmetry principles. principle of virtual work. Normal modes. L. R. Introduction to Dynamics. Lagrangian mechanics. S. Noether theorem. R. Collisions. Lagrange’s equation. Planetary motions. C. Lifshitz. calculus of variations. Hamilton’s equations. Classical Mechanics of Particles and Rigid Bodies.PHY 305: Classical Mechanics (4) Review of Newtonian mechanics. Strogatz. H. Forced oscillators. Scattering. Perturbation theory. Poisson brackets. Small oscillations. Nonlinear Dynamics and Caos. S. Classical Mechanics. Gupta.Hamilton. M. C. Takwale and P. Classical Mechanics. constraints. Rigid body dynamics. Landau and E. phase space & phase trajectories. Goldstein. Mechanics. Motion of a top. Percival and D. G.Jacobi theory. canonical trans-formations. D. generalized coordinates. Richards. K. S. C. Introduction to Classical Mechanics. Central forces. Suggested Reading: • • • • • • • • H. Caos and Nonlinear Dynamics. physical hydrodynamics Langevin equation. Landau Ginzberg theory. Page | 186 . Kinetic theory and approach to equilibrium. density of states and Liouville’s theorem. FluctuationDissipation theorem. Boltzmann equation. Scaling and renormalization. electrons in metals. Ising model. Fluctuations in canonical and grand canonical ensemble. PHY 309: Thermal Physics Review of thermodynamics Postulates of statistical mechanics. Density matrix in statistical mechanics. Phase space. photon gas. Gibbs paradox Introduction to Bose-Einstein and Fermi-Dirac statistics. Phase transition and critical point phenomena. applications to classical ideal gas and simple numerical problems.PHY 306/604: Statistical Mechanics (4) Prerequisite: PHY 303: Quantum Mechanics I. Bose Condensation. PHY 301: Mathematical Methods I. Canonical and Grand-canonical). MaxwellBoltzmann statistics as a classical limit. exact solution in one dimension. Critical exponents and relations. Qualitative features of degenerate Fermi and Bose gases. mean-field theory in zeroth and first approximations. Ensemble theory (Micro-canonical. K. Toda and N. Bergersen. Landau and E. D. M. Lifshitz.K.Suggested Reading: • • • • • • • • • F. Hashitsume. R. Page | 187 . Modern Theory of Critical Phenomena. M. Kerson Huang. S-K. Ma. Statistical Mechanics. (3) PHY 307: Physics Lab I • • • • • • • • • • Franck Hertz experiment Planck’s constant Cavendish experiment Chua’s circuit Ferromagnetic Hysteresis Atomic spectra of Iodine vapor Inelastic electron collision Millikan’s oil drop experiment Viscosity of Newtonian and non-Newtonian liquids Microwave based waveguide measurement. Bhattacharjee. Statistical Mechanics. Kubo. Reif. S-K. J. 2nd Ed. Fundamentals of Statistical and Thermal Physics. R. L. Pathria. Statistical Physics: Equilibrium and Non-Equilibrium Aspects. Statistical Physics. Ma. Equilibrium Statistical Physics. Plischke and B. M. Statistical Physics I and II. Statistical Mechanics. Force and Torque on and energy of a localized current distribution. 5. PHY 302: Mathematical Methods II Boundary problems. Magnetic fields of a localized current distribution. Fiber optics Spectroscopy with fibers [Ocean optics*] Michelson Interferometer Fabry Parrot Interferometer Optical detection of weak source using a lock-in. Multipole expansion. Boundary-Value problems with dielectrics. Tranformation properties of electromagnetic fields and sources under rotations.PHY 308: Physics Lab II 1. 2. 7. PHY 301: Mathematical Methods I. Maxwell equations. Gauge transformations. Energy density in a dielectric. STM AFM Raman Spectrometer Characteristics of He-Ne laser. Magnetic moment. Laser gyroscope (3) PHY 401/605: Electrodynamics (4) Prerequisites: PHY 305: Classical Mechanics. 10. 9. 6. Boundary value problems in magnetostatics. Poynting's theorem. Electric fields in matter. 3. Green functions for the wave equation. and time reversal Page | 188 . Vector potential. Boundary conditions on B and H. Multipole expansion. polarizability and susceptibility. 8. spatial reflections. Formal solution with Green functions. 4. D. Sands. J. Liénard-Weichert potentials. Suggested Reading: • • • • • • J. Smythe. Leighton and M. multipole radiation. Introduction to Electrodynamics. Classical Electricity and Magnetism. Four acceleration and higher rank tensors. Reflection and refraction of electromagnetic waves at a plane interface between dielectrics. Page | 189 . Jackson. polarization. concept of four-velocity. W. K. R. Feynman. Philips. M. L. Larmor formula. wave propagation in conductors and dielectrics. The Feynman Lecture of Physics Vol 2. Scattering at long wavelengths. the action principle and electromagnetic energy momentum tensor. Panofsky and M. Landau and E. Static and Dynamic Electricity. Electric dipole fields and radiation. Relativistic formulation of electrodynamics. D. Rayleigh scattering Minkowski space and four vectors. Radiation from an accelerated charge. B. complex refractive index. R. R. Classical Electrodynamics. Stokes parameters. waveguides Fields and radiation of a localized oscillating source.Plane electromagnetic waves and wave propagation. Classical Theory of Fields. P. bremsstrahlung and synchrotron radiation. D. dispersion theory. radiative reaction. Maxwell equations in covariant form. radiative damping. Gauge invariance and four-potential. Lifschitz. dispersion. Linear antennas. H. Griffiths. 3rd Ed. W. Concepts of atomic orbital One Valance Electron Atom: Review of [Orbital magnetic dipole moment. Raman spectra and influence of nuclear spin Page | 190 . He atom. Identical particles. and CN). Hyperfine structure of lines. O2. Frank-Condon principle. Spin-orbit interaction and fine structures].PHY 402/606: Atomic and Molecular Physics Prerequisite: PHY 304: Quantum Mechanics II (4) Brief review of Hydrogen atom and periodic table. Vibrational structure and vibrational analysis. General selection rules. Significance of four quantum numbers. Intensity of spectral lines. chemical shift Molecules: Concept of valance and bonding. Dissociation energy. Hydrogen molecule – Heitler-London method Molecular orbital and electronic configuration of diatomic molecules (H2. NO. Born-Oppenheimer approximation. The ThomasFermi model of the atom Width and shape of spectral lines. Slater determinant. Details of Stark. Orbital. Zeeman (Normal and anomalous) and Paschenbeck effects Many Valance Electrons Atom: Two Valance Electrons Atom: Para and ortho states and the role of Pauli’s Exclusion principle. Rotational spectra. LS and JJ coupling scheme Approximation Methods: The Hatree-Fock method. C2. spin and total angular momenta. Principal of ESR with experimental setup. Lamb shift. Physics of Atoms and Molecules. B. Introduction to Molecular Spectroscopy. Barrow. Laue equations and Bragg’s law. Elementary Atomic Structure. S. Chemical Applications of Group Theory. Molecules and Photons. Friedrich. Nuclei. Demtroder. Molecules. A. Cohesive energy and compressibility. H. G. Joachain. W. Theoretical Atomic Physics. Miller indices. Page | 191 . Bransden and C. Eisberg and R. Coulson. J. and Particles. F. Cotton. (4) PHY 403/607: Condensed Matter Physics Prerequisites: PHY 306: Statistical Mechanics Structure of solids. H. Fundamentals of Molecular Spectroscopy. H. Atoms. Lennard Jones potential. Molecular Quantum Mechanics 3rd Ed. E. Solids. J. Woodgate. Introduction to Atomic Spectra. White. W. Quantum Physics of Atoms. W. G. Defects and dislocations. Valence. Bonding in solids. R. Symmetry. van-der Wall and Repulsive interactions. Reciprocal lattice. Diffraction of x-rays. N. Simple crystal structure. Resnick. Brillouin Zones. H. Friedman. C. Atomic Spectra. C. A. S. M. M. Kuhn. Atkins and R. G. Hollas. Unit cell. Atomic scattering and structure factors. Modern Spectroscopy.Suggested Reading: • • • • • • • • • • • • • P. Banwell. de Hass-van Alphen effect. Density of states. Page | 192 . Kronig-Penney Model. Bose-Einstein distribution and Bose-Einstein condensation. atomic and ionic radii. Magnetoresistance. and Ferromagnetism. Long wavelength of acoustic phonons and elastic constants. Ferromagnetic ordering. normal modes. Thermal conductivity of a metal. Meissner effect.. Quantum Hall Effect. Normal modes and Phonons. Topological Insulators Dia-. Langevin's theory of paramagnetism. specific heat capacity. AC electrical conductivity of a metal and propagation of electromagnetic radiation in a metal. thermal expansion and conductivity. Metals. and electrical conductivity of degenerate electron gases. Hall Effect. Tight binding. Phonons: Vibrational Properties. ferromagnetic domains. The Drude theory of metals: DC electrical conductivity of a metal. Phonon spectrum. Fermi-Dirac distribution. Motion of electron in electric and magnetic fields. Madelung potential. Specific heat. The Sommerfeld theory of metals: Density of states. Cellular and pseudopotential methods. Covalent crystals. Density of state. Superconductivity. Crystal lattices: Bravais lattices. magnons. Periodic potential. spin waves. Fermi surface. acoutic and optical phonons. Free electron theory. Symmetry of energy bands. Para-. insulators and semiconductors. thermal. origin of magnetism. Classification of metals. Hall effect and magnetoresistance.Ionic crystals. Vibrations of one dimensional monoatomic and diatomic chain. Band theory. Weiss Molecular theory. O. D. Decker. Spindependence of nuclear forces. Introduction to Solid State Theory. Page | 193 . J. S and D states. Lutz. W. Solids State Physics. Weertman and J. (4) PHY 404/608: Nuclear and Particle Physics Prerequisites: PHY 304: Quantum Mechanics II Properties of nucleon-nucleon interaction. N. Tensor force. V. Charge independence and charge symmetry of nuclear forces. Azaroff. J. Mermin. Chaikin and T. Isospin formalism. M. Weertman. Solids State Physics. Ibach and H. Principles of Condensed Matter Physics. Simple consideration of deuteron using central potential (square well). Buerge. C. Elementary Dislocation Theory. Ashcroft and N. M. P. General forms of N-N potential. Callaway. Lubensky. Deuteron problem. C. Ground state properties of deuteron.Suggested Reading: • • • • • • • • • • L. Madelung. Solid State Physics. Kittel. Effective range theory. Introduction to Solids. R. J. H. Neutron-Proton and proton-proton scattering. Quantum Theory of solid State. Description of low energy neutron-proton scattering to show the spin dependence of nuclear force. Crystal Structure Analysis. J. Introduction to Solids State Physics. Scintillation counter.Nucleon emission. Synchrotron. Elementary particles. Quantum numbers and conservation laws. Fermi theory of beta-decay. Cerenkov detectors. Multipole transitions in nuclei. Detection and properties of neutrino. Alpha decay and its energy spectrum. Page | 194 . Quark model. Introduction of Modern Colliders (LHC and RHIC). Parity and angular momentum selection rules. Q-value for beta decay. Need for neutrinos. Accelerators: Ion Sources. Spark Chambers. Curie plots. Electromagnetic interactions in nuclei. Allowed and forbidden transitions. Beta decay and its energy spectrum (for example. Resonances. 137 Cs). Internal conversion. Selection rules for gamma transitions (no derivation). Discussions and Applications of Breit-Wigner single-level formula. Storage Ring Discussion of Direct and Compound nuclear reaction mechanisms. Mesons and Baryons. Outline of interaction of charged particles and of Gamma-rays with matter. Bound states and resonance states. Gamma decay. expressions for scattering and reaction cross-sections in terms of partial wave amplitudes. compound nucleus theory. Basic interactions in nature. Quarks and colors. separation energy. Q-value. Concept of isospin. Comparative half life. Detectors: Gas Filled counters (ionization Chamber). Eightfold way. Gamow’s theory of alpha decay (no derivation). 5. Introduction to Nuclear Physics. Determination of the range and energy of alpha partcles using Page | 195 . bending loss) Holography (3) PHY 406: Nuclear Lab 1. Half life and radioactive equilibrium Balmer series/Determination of Rydberg's constant GM counter. Gamma .Suggested Reading: • • • • • S. Fundamentals of Nuclear Physics. Devanathan. V. 2. Cohen. (3) PHY 405: Condensed Matter Physics Lab • • • • • • • • • • • • • • Lattice dynamics Abbe refractometer Curie Temperature Dielectric constant Thermal expansion of quartz crystal Hall effect Thin film preparation and thickness measurement Raman effect Interfacing a multimeter through GPIB X-ray diffraction Electro-optic effect (Kerr effect) Fabry-Perot and Mach-Zender Interferometer Fiber Optics (Estimation of numerical aperture. B. 3. Srivastava. M. 4. B. Introductory Nuclear Physics. H. S. 6. A.Ray Spectroscopy Using NaI (Tl) detector. Enge. L. Alpha Spectroscopy with Surface Barrier Detector. B. Concepts of Nuclear Physics. Nuclear Physics. Wong. 8. 13. Identification of particles by visual range in Nuclear Emulsion. 7. Theory of Relativity Fluid Dynamics Introduction to Astronomy and Astrophysics Nonlinear Dynamics and Chaos Plasma Physics Introduction to General Theory of Relativity Computational Physics Advanced Statistical Mechanics Advanced Condensed Matter Physics Experimental Techniques in Physics Soft Condensed Matter Physics Quantum Field Theory-I Quantum Field Theory-II Particle Physics Cosmology Nanotechnology Page | 196 .Gamma Coicidence studies. Compton Scattering: Cross-Section Determination. 10. Determination of energy of mu-mesons in pi-decay using Nuclear Emulsion Technique. 5. 11. 10. List of Electives to be offered from the Physics Department: 1. 2. 6. 13. 12. 9. 14. 16.spark counter. Study of gamma ray absorption process. 11. Compton Scattering: Energy Determination. 12. 4. 15. 15. 14. 9. 3. 7. Gamma . Fission Fragment Energy Loss Measurements from Cf252. Study of Rutherford Scattering. To Study the Solid State Nuclear Track Detector. 8. 16. Neutron Activation Analysis Measurement of the Thermal Neutron Flux. X-Ray Fluorescence. 17. PHY 309/409: Thermal Physics Review of kinetic theory of gases. 18. basic problems of thermodynamics. generalized Massieu functions. Euler equation. procedure for the reduction of Page | 197 (4) . Measurability of the temperature and of the entropy. laws of thermodynamics. Reversible Processes: Possible and Impossible processes. 21. 20. 24. Carnot cycle. mechanical and chemical equilibrium. Basic Concepts and the Postulates: The temporal and spatial nature of Macroscopic Measurements. 22. 25. 19. the Maximum work theorem. Legendre transformations. internal energy. In the following we outline syllabus for few elective courses. Magnetism and Superconductivity Quantum Optics Advanced Astrophysics Ultrafast Optics Group Theory in Physics Advanced Electronics Thermal Physics Waves and Optics Quantum Information According to the interest of the students and the availability of faculties. magnetic systems. 23. Maxwell relation. entropy maximum postulates.17. the department will also offer courses those are not mentioned above. molar heat capacity. conditions of equilibrium. rubber band. Gibbs-Duhem relation. Helmholtz and Gibbs free energies. Thermodynamic Functions: Enthalpy. Schroeder. Coupled oscillators. Phase Transitions: Equilibrium between phases. H. Heat and Thermodynamics D. Thermodynamics (4) PHY 310: Waves and Optics Linear harmonics motion (S. Callen. Clapeyron equation. First order phase transition in single component and multi component systems. group velocity. Theory of plucked string. Damped Oscillator. phase velocity. Le Chateliers principle. Thermodynamics and an Introduction to Thermostatistics R. W.M). Page | 198 . B. critical phenomena. gibbs phase rule and simple application. scaling and universality. struck string. applied to magnetic systems. Fermi. Lissajous figures. Forced oscillations and resonance. Srivastava. Concenpt of Beats. A Treatise on Heat E. Waves in a continuous medium. Zemansky. Superposition of SHMs in parallel and perpendicular directions. Suggested Reading: • • • • • H. stability of thermodynamic systems. triple point. N. V. Dittman and M.H.derivatives in single component systems. Saha and B. An Introduction to Thermal Physics M. Applications to LCR circuit. Landau theory. N. phase diagrams. Wave equation. Normal modes. Production of polarized light. Optics Jenkins and White. Michelson’s interferometer. Fundamentals of Optics Longhurst. Michelson-Morley experiment. N. Zone-plate.Fermat’s principle and its applications to reflection and refraction Huygen’s principle and its application to reflection and refraction Interference of light – division of wave-front and division of amplitude.K. Galilean relativity. Circular aperture. The Physics of Waves and Oscillations Ghatak. Concepts of aether Page | 199 . Newton’s ring. Colours of thin films Basic ideas of coherence Fraunhoffer Diffraction: Single slit. Optical activity Basic ideas of Holography Suggested Reading: • • • • • French. Double slit. Febry-Perot interferometer. Diffraction grating Fresnel’s Diffraction: Half-period zone. Malu’s law. Geometrical and Physical Optics (4) PHY 315: Theory of Relativity Pre-Einstein Relativity: Inertial and non-inertial frames. Waves and Oscillations Bajaj. Diffraction by a straight edge Polarization: Plane and circularly polarized light. Velocity addition theorem. Towards General Relativity Suggested Reading: • • • • • • Resnick . 4vectors and tensors.Einstein’s Relativity: Postulates of the special theory of relativity.Spacetime Physics: Introduction to Special Relativity Wolfgang Rindler . Transformation of scattering cross section. Length contraction. Mass energy relation Algebra of Lorentz Transformations: Proper time and the light cone. Momenta and energies from CM to laboratory systems Incompleteness of Special Theory of Relativity: Non-intertial reference frames. Relativistic momentum and energy. The Equivalence Principle. Doppler effect. Lorentz transformations as orthogonal transformations in 4 dimensions. Simultaneity.General Relativity S. Weinberg . Centre of momentum transformation and reaction thresholds. Aberration.Special Theory of Realtivity French . Causality. Taylor and John Archibald Wheeler . Variation of mass with velocity Relativistic Particle Kinematics: Kinematics of decay products of an unstable particle. Intervals. Covariance of the equations of physics. Time dilations. Minkowski metric.Gravitation and Cosmology Page | 200 . Lorentz transformations. Carroll . Gravitational red shift and time delay.Introduction to Special Relativity S.Special Theory of Realtivity Edwin F. Hopf bifurcations. Chemistry and Engineering Edward Ott. Poincare maps. Fixed points and stability. Pointwise and Correlation Dimensions. Liapunov exponent. Poincare-Bendixson theorem. Phase portraits. Fractals: Countable and Uncountable Sets. Lorenz Map. Transcritical and Pitchfork bifurcations. Fixed points and linearization. Strange Attractors: Baker’s map. Flow on the circle Two-dimensional flows: Linear system: Definitions and examples. Strogatz. Saddle-node. Box dimension. PHY 301: Mathematical Methods I (4) Introduction to Dynamical Systems: Overview. Lienard systems.PHY 411/611: Nonlinear Dynamics and Chaos Prerequisites: PHY 305: Classical Mechanics. Dimension of Self-Similar Fractals. Cantor Set. Nonlinear Dynamics and Chaos with Applications to Physics. Henon map Chaos in Hamiltonian systems Suggested Reading: • • Steven H. Biology. Coupled Oscillators and Quasiperiodicity Chaos: Lorenz equations: Properties of Lorenz equation. Chaos in dynamical systems (Cambridge University Press) Page | 201 . Transcritical and Pitchfork bifurcations. Global bifurcation of cycles. Oscillating chemical reactions. Linear stability analysis. Bifurcations revisited: Saddle-node. One-dimensioanl map: Fixed points. Logistic map. Limit cycles. Population growth. Examples and Discussion One-dimensional flows: Flows on the line. end-to-end distance and radius of gyration of a solvated polymer using bead-spring model. Monte Carlo simulations: Importance sampling and the metropolis method. Chaos and Nonlinear Dynamics (Cambridge Univ. C. numerical integration of equations of motion – Verlet and velocity Verlet algorithms. Rajasekar. parameterization of force-fields.• • R. 1994) M. basic Monte Carlo algorithm. Press. Kinetic Monte Carlo. PHY 306: Statistical Mechanics. Numerical Methods Introduction: Computer simulations and problems in material science. estimators. Molecular Dynamics: The basic idea of MD. Numerical methods and programming in Fortran 90/95. trial moves. Advanced applications–Monte Carlo in various ensembles. classical force-fields – bonded and non-bonded interactions. Applications and hands-on sessions–solid-liquid phase-transition in the Lennard-Jones fluid and the magnetic transition in the Ising model. Applications and hands-on sessions – determining the diffusion constant and radial distribution functions of a Lennard-Jones fluid using an Anderson thermostat. Hilborn. Monte Carlo methods for rigid molecules and polymers. Quantum mechanics as a starting point. Nonlinear dynamics: Integrability Chaos and Patterns (Springer) (4) PHY 412/612: Computational Physics Prerequisites: PHY 305: Classical Mechanics. random number generators. Lakshmanan and S. A brief review of classical mechanics and statistical mechanics. Page | 202 . Computational Physics T. Precission of the Equinoxes. Motions in the Sky: the Celestial Sphere. Multiple time step methods. Smit.Advanced applications – MD in various ensembles – thermostats and baro-stats. 2) A. M. Coordinate Systems. P. Dissipative particle dynamics Suggested Reading: • • • • • • D. Computer Simulation of Liquids J. Allen and D. Page | 203 . proper motion. Some Tricks of the trade: Neighbour lists. Understanding Molecular Simulations (ed. constrained MD. Rajaraman. Computer Programming in Fortran 90 and 95 (4) PHY 413/503: Introduction to Astronomy and Astrophysics Introduction: Brief overview of the universe: Solar system and beyond. R. Frenkel and B. Tildesley. J. Brownian dynamics. Leach. Brightness measurements: Flux and UVB system. apparent and absolute magnitudes. Thijssen. Molecular Modeling M. Pang. Velocity and distance measurements. How to handle long-range forces Advanced techniques: Biased Monte Carlo Schemes. the Ecliptic. An introduction to computational physics V. Rare Event. dynamical friction. Radiative Processes in Astrophysics Page | 204 . and Lightman. An Introduction to Modern Astrophysics Rybicki. compact stellar Objects Interstellar medium: composition. stellar relaxation. classification.Carrol and D. rotation curves and dark matter. and Tremaine. Thomson & Compton scattering. S. Galactic dynamics. Gallagher. S. J. gravitational lensing Active galaxies: active galactic nuclei. quasar absorption lines Cosmology: High redshift universe. spiral and elliptical galaxies.P. Bremsstrahlung. CMBR.Radiative processes in astrophysics: Radiative transfer. kinematics. Galaxies in the Universe: An Introduction B.Ostlie..B. Einstein coefficients. A. structure formation Suggested Reading: • • • • Binney. radiative heating and cooling. unified model of AGN. HII regions The Milky Way: Structure. evolution. inverse Compton scattering Physics of stars: stellar structure and composition.W.A. oort's constant Normal galaxies: Morphological classification of galaxies. Cylotron & Synchrotron radiation. Galactic Dynamics L. differential rotation. G. galaxy clusters. Sparke and J. ISM phases. density wave theory of spiral structure. Blackbody radiation.. Oxide based modern magnetic materials: Ferrites and magnetic technology based on it. Page | 205 and nanoscience: Carbon . Colossal magnetoresistance materials. charge. Introduction to Stellar Astrophysics. Williams. vol 3 stellar structure and evolution (4) PHY 414/614: Advanced Condensed Matter Physics Prerequisite: PHY 403: Condensed Matter Physics Review of basic postulates of magnetism. etc. ferro-. Ferroelectricity. electric. Giant magnetoresistance: Exchange in magnetic multilayers. Dyson and D. Zener-double exchange interactions. magnetic and photo control of physical properties. magnetoelectricity Introduction to nanotechnology nanotubes and fullerenes. direct and indirect exchange interaction. SQUID magnetometer. Dilute magnetic semiconductors. High temperature supercondtivity. antiferro-. The physics of the interstellar medium Bohm‐Vitense. recent advances in superconductors: MgB2.• • J. superexchange interactions. A. Fe-based superconductors. Introduction to spin electronics and technology based on it. spin glasses. Josephson junctions. Multiferroicity. Thin film technology of magnetic materials. Review of basic postulates of superconductivity. E. ferri-magnetism. Erika.and orbital-ordering. phase-separation. PHY 302: Mathematical Method-II. Particles. Lagrangian Field Theory. The Heisenberg Picture. D. The Interaction Picture. Solid State Physics – An Introduction to Theory and Experiment: Ibach and Lutz. Applications. Wick's Theorem. Quantum Theory of solid State: Callaway. Principles of Condensed Matter Physics: Chaikin and Lubensky. Free Quantum Fields. NonRelativistic Field Theory Interacting Fields: Types of Interaction. Feynman Page | 206 . Complex Scalar Fields. Noether's Theorem and Conserved Currents. Dyson's Formula. Causality and Propagators. Special Theory of Relativity Classical Field Theory: Introduction. The Simple Harmonic Oscillator. Scattering. PHY 304: Quantum Mechanics-II. Canonical Quantization: The Klein-Gordon Equation. Relativistic Normalization.Suggested Reading: • • • • • • • • Fundamental of Magnetism: Mathias Getzlaff Solids State Physics: Ashcroft and Mermin. Hamiltonian Field Theory. Cullity Magnetic Materials: Fundamentals and Device Applications : Nicola A. Vacuum Energy. Spaldin (4) PHY 415/615: Quantum Field Theory-I Prerequisite: PHY 305: Classical Mechanics. Lorentz Invariance. Introduction to Magnetic Materials: B. Introduction to Solid State Physics: Madelung. Parity. Feynman Rules. Green's Functions.. Feynman Rules. Suggested Reading: • Peskin. Riemann tensor. An Introduction to Quantum Field Theory. affine connections. Plane Wave Solutions. Fermi-Dirac Statistics. Inclusion of Matter -. Michael E. CO: Westview Press. covariant derivative. 1995. Curvature tensior Page | 207 . Quantization. ISBN: 9780201503975. Quantum Field Theory by Ryder Quantum Field Theory Part 1 by Steven Weinberg (4) • • PHY 416/616: General Theory of Relativity Review of special theory of relativity Mathematical aspects: Tensor algebra. Lie derivative. Decays and Cross Sections. Feynman Rules. The Weyl Equation. Propagators. Schroeder. and Daniel V. The Spinor Representation. QED Processes. Particles and Anti-Particles. Transformation of coordinates. Chiral Spinors.Diagrams. Quantizing the Dirac Field: Spin-Statistics Theorem. The Dirac Lagrangian.QED. Quantum Electrodynamics: Gauge field. Lorentz Invariant Propagators. Dirac's Hole Interpretation. Clifford Algebras. Majorana Spinors. Fermionic Quantization. Reduction Formula The Dirac Equation: The Lorentz Group. Boulder. Connected Diagrams and Vacuum Bubbles. Gauge Invariance. Amplitudes. Symmetries and Currents. Cosmology: FRW Universe. electrostatic double layer. Colloids: A single colloidal particle in a liquid (Stoke’s law and Brownian motion). stability and phase behaviour of colloids (hard sphere. Gravitational mass and inertial mass. forces. Suggested Reading: • • • • Spacetime and Geometry: An Introduction to General Relativity by Sean Carroll General Relativity by Robert M.Inertial frames. Action formulation of GTR Solution of Einstein equations: Tests of GTR. Principle of general covariance Field equations in general relativity: Geodesic deviation. Vacuum Einstein equations. Black holes. depletion interaction). Equivalance principle: weak form. energies and timescales in soft condensed matter. forces between colloidal particles (Van der Waals. stearic. Hartle Gravitation and Cosmology: by Steven Weinberg (4) PHY 417/617: Soft Condensed Matter Introduction and Overview: What I soft condensed matter. Vald Gravity: An Introduction to Einstein. Schwarzschild black hole Penrose diagram of Schwarzschild black hole.s General Relativity by James B. strong form. long ranged Page | 208 . repulsion. microrheology). bilayers and vesicles. tube model and theory of reptation. proteins (structure. folding. boundary effects. concentrated dispersions. real polymer chains. freely jointed chains and its Gaussian limit. cylindrical micelles. theta temperature. Liquid Crystals: Types of liquid crystals. Oxford Page | 209 . Suggested Reading: • Richard A. rigidity and elastic constants of a nematic liquid crystal. microscopy (optical microscopy. polymer liquid crystals. spherical micelles and critical micelle concentration. static light scattering). strongly attractive). flow in Polymers: Polymeric materials. Soft Condensed Matter. video microscopy and particle tracking). light scattering (dynamic light scattering. disinclination. weakly attractive. entanglements. phase behaviour of concentrated amphiphile solutions. nematic/isotropic transition. Jones. characteristics and identification of liquid crystal phases. complex phases in surfactant solutions and microemulsions. Biological Soft Matter: DNA (structure. membranes (lipid membranes. time-temperature superposition. dislocation and other topological defects. excluded volume. condensation). linear viscoelasticity. Amphiphiles: Self-assembled phases in solutions of amphiphilic molecules. viscoelastic behaviour of polymers. crystallization). instabilities). L. Experimental Techniques in Soft Matter: Rheology (shear rheometry. Transmission electron microscopy (TEM). Hamley. thermopower.ray and ultraviolet photoemission spectroscopy. Thomas A. Hall. Witten and Philip A. auger electron spectroscopy. Oxford University Press. magnetoresistance. and x-ray absorption techniques Radiation and particle detectors: gas detectors. thermal conductivity. and heat capacity Page | 210 . Introduction to Soft Matter: Synthetic and Biological Self-Assembling Materials. Pincus. two-probe and four probe resistivity measurements. scintillators detectors and semiconductor detectors Thin film. polycrystalline and single crystal sample preparation techniques Magnetometry and electrotransport : ac and dc magnetization techniques. X-Ray Fluorescence (XRF) Electronic structure of Solids: X. Ian W. Colloids and Surfactants. Energy dispersive X-Ray (EDX). John Wiley & Sons. Structured Fluids: Polymers. (4) PHY 419/619: Experimental Techniques Basics of vacuum technique: vacuum generation. gauging Cryogenics: generation of low temperature and it measurements Structure and composition analysis by x-ray and electron diffraction based techniques: X-Ray Diffraction.• • University Press. angle resolved photo-emission spectroscopy. Rudolf Morf (4) PHY 421/621: Quantum Field Theory II Prerequisite: PHY 415/615: Quantum Field Theory-I Introduction: Why should we study “Path integral quantization”? Review of path integral formulation of quantum mechanics Page | 211 . SEM. Cullity Terahertz Optoelectronics by Kiyomi Sakai X-Rays. Philip J. Neutrons and Muons by Walter E. Egerton Handbook of thin-film deposition processes and techniques: principles. Meeson Elements of X Ray Diffraction by B. methods. absorption and terahertz spectroscopy Neutron and Muons in condensed matter Suggested Reading: • • • • • two photon • • • • • Scientific foundations of vacuum technique by Saul Dushman Experimental Techniques in Low-Temperature Physics by Guy White.F. D. Schuegraf Crystal Growth Technology by Kullaiah Byrappa. Fischer. and AEM by R. equipment.Ultrafast spectroscopy: transient absorption. Cullity Physical Principles of Electron Microscopy: An Introduction to TEM. Tadashi Ohac Photoelectron Spectroscopy by Principles and Applications Stefan Hüfner Introduction to Magnetic Materials by B. and applications by Klaus K. D. RG: calculation of beta function. Functional derivatives. Suggested Reading: • • • • • • An introduction to QFT by Peskin and Schroeder Quantum Field Theory by Ryeder A First Book of QFT by Lahiri and Pal QFT: A modern Introduction by M. the Dirac propogator. the Lagrangian. Generating functional. BRST. Spontaneous mechanism. Higgs mechanism). representations and transformation of different fields. Feynman rules. Kaku Relativistic QFT by Bjorken and Drell Gauge theory and elementary particle physics by Cheng & Lee Page | 212 . Yang-Mills action. Faddeev-Popov ghost fields. different gauge groups. Generating functional. Feynman Rules. Higgs one loop Standard model (GSW model. symmetry breaking: Goldstone boson. UV divergences and renormalization: explicit renormalization for interacting gauge theory. Path inegral for QED. Path integral for Fermion fields: Anti commutating numbers. Non-abelian gauge theories and quantization: Gauge invariance.Path integral formulation of interacting scalar field theory: Correlation functions. The Jahn-Teller Model. the mixed JahnTeller/Renner-Teller model. The Privileged ADT phase and the corresponding Topological (Berry/Longuet-Higgins) phase. Poles and Seams characterizing the BO-NAC terms. chemistry and biology (4) The Born-Oppenheimer Approach – The Time Independent Framework: (a) The Adiabatic Representation. (b) First Order Differential Equations along contours. The interaction between molecular systems and electromagnetic fields: (a) The Classical treatment of the field (b) The Quantum Page | 213 . On the Singlevaluedness of the newly formed Diabatic Potentials and the Quantization of the Born-Oppenheimer (BO) non-adiabatic coupling (NAC) matrix. The Renner-Teller model. The Extended Born-Oppenheimer Equation including Symmetry The Born-Oppenheimer Approach – The Time Dependent Framework (emphasizing Field-dependent non-Adiabatic Coupling terms). (b) The Diabatic Representation Mathematical Introduction: (a) The Hilbert Space and the Curl-Div Equations. Singularities.• Quarks and Leptons: An Introductory Course in Modern Particle Physics by Halzen and Martin PHY 423/523/623: Non-adiabatic Interactions in physics. The Adiabatic-Diabatic Transformation (ADT). Molecular Fields as formed by Lorentz Wave-Equations. (c) Abelian and non-Abelian Systems. J. Non-Adiabatic Effects in Chemical Dynamics. Z. Advances of Chemical Physics. Koeppel.. Wiley Interscience. Conical Intersections. John Wiley. Quantum Mechanics in Chemistry. Vol. Baer. Yarkony and H. N. (2002) • W. Zhang. 124. Hong-Kong (2004). University Oxford. Domcke. Hoboken. John Wiley. Vol. The Role of Degenerate States in Chemistry. (1992) • M.treatment of the Field (based on Fock states). Baer and C-Y. A. Ng. Classical Electrodynamics. Billing (eds). N.D. Part 2. Theory and Application of Quantum Molecular Dynamics. Jackson. Discussions. World Scientific. Englwood Cliffs (1993) • J. Beyond Born-Oppenheimer: Electronic Nonadiabatic Coupling Terms and Conical Intersections. Hoboken. John Wiley. Ser. D. 127 (R. N. Baer and G. 2nd Edition. Hoboken.). Vol. Advances Series In Physical Chemistry Vol.D.J. Ratner. 82. If time allows various subjects related to Quantum Reactive Scattering Theory will be introduced.C. 15 (World Scientific. • Farad.S. Hong-Kong (1999) Page | 214 .J. Ser. Prentice-Hall. Schatz and M. New York (1975) • J. • G. (2006).R. Selected Readings: • M. State-Selected and State-to-State Ion-Molecule Reaction Dynamics. H.C. (eds). Among other things the concept of arrangement channels and decoupling of arrangement channels employing Absorbing Boundary conditions will be discussed. (2004) • M. Advances of Chemical Physics. Modern quantum mechanics Addison-Wesley (1994) (4) PHY 504/620: Magnetism and Superconductivity Prerequisite: PHY 304: Quantum Mechanics-II Magnetism: Orbital and spin magnetism without interactions. consequences of Page | 215 . antiferromagnetism. open and closed dynamics The circuit model Quantum entropy and quantum correlations Elements of quantum computing Suggested Reading: • • • M. Measurement of magnetic order. L. J. Quantum Computation and Quantum Information J. Nielsen and I. Broken symmetry.PHY 425/625: Quantum Information Theory • • • • • • • • • • (4) Probabilities Classical Information theory Review of quantum mechanics Bits to Qubits Quantum states: mixed states. Available online (Caltech) J. superposition and entanglement Quantum measurements Quantum dynamics.Preskill. A. Quantum Information and Quantum Computation. helical order and spin glasses. Ferromagnetism. Sakurai. Chuang. Heisenberg and Ising model. Landau theory of ferromagnetism. multipartite states. Exchange interactions. ferrimagnetism. Superconductivity: Properties of conventional (low temperature) superconductors. interaction of vortices. Tinkham. Nuclear magnetic resonance and technological aspects of magnetic materials. Superconductivity. Domains and the magnetization process. Giant. Ginzburg-Landau theory. colossal and tunneling magneto resistance. vortex state. Coey. phase transitions and spin waves. Oxford (2001). ground state of the superconductor. Introduction to the Theory of Ferromagnetism.broken symmetry. magnetic properties. Introduction to Superconductivity. perfect diamagnetism. Oxford (2004) T. Sheahen. J. Itinerant magnetism of metals. High Temperature superconductivity. McGrawHill (1996) J. Cambridge (2010) Aharoni. Meisnner-Ochsenfeld effect. Josephson effect and the quantum interferometers. Annett. surface superconductivity. spectrum of elementary excitations. Superfluids and Condensates.electron-phonon interaction. Oxford (2001) M. Plenum (1994) Page | 216 . London and Pippard equation.Temperature Superconductivity. Introduction to High. critical fields. Suggested Reading: • • • • • • S. P. Magnetism in Condensed Matter. Blundell. tunnel effects and measurement of the energy gap. F. BCS theory of superconductivity. D. M. Type I superconductors and type II superconductors. Magnetism and Magnetic Materials. (4) Lattice vibrations: waves and phonons in graphene. Landau levels. Addiabatìc transport. Graphene: band structure and Dirac spectrum. oscillations of magnetization (de Haas van Alphen). R. linear independence. Topological order and the quantum spin hall effect. Different bending modes of graphene. Various generalizations: bilayer graphene. Inner product. Berry phase. Altland and Simon Physical properties of carbon nanotubes. tensors. bases dimensionality. parallel transport. Page | 217 . linear transformation matrices. topological indices.PHY 506/622: Advanced Topics In Condensed Matter Physics Prerequisite: PHY 303: Quantum Mechanics-I PHY 304: Quantum Mechanics-II PHY 403/605: Condensed Matter Physics Second quantization for bosons and fermions. edge modes in ribbons. orthogonal and unitary matrices. Saito (4) PHY 601: Advanced Mathematical Methods for Physics Vector space and matrices. diamagnetism Landau and magnetic susceptibility of electron gas in graphene. The birth of topological insulators. inverse. Suggested Reading: • • Condensed Matter Field Theory. second order linear ODEs with variable coefficients. Continuous Groups. inversion theorem. generating functions. Laurent series. Mathematical Methods for Physicists. Boas. K. Chattopadhyay. Mathematical Method of Physics. Lie algebras.independent element of a matrix. Theory of complex variables. analytic functions. Mathematical Methods in Physical Sciences. Laguire equations and their solutions. Eigenvalue methods. Weber. method of steepest descent. L. branch points and cuts. K. D. 6th Ed. Ghatak. Finite Groups. Mathematical Physics: The Basics. singularities. convolution theorem. diagonalization. B. residue theorem. M. Bessel. Fourier integral and transforms. nonhomogeneous differential equations and solution by the method of Green’s functions with applications. P. Partial differential equations. contour integration. Methods of Applied Mathematics. Cauchy’s theorem. Cauchy. recursion relations. Wave equation Introduction to Groups. Hermite. Legendre. Eigen values and Eigen vectors. Permutation Groups. up to Strum-Liouville systems. Hermite and Laguerre functions with their physical applications. Special functions. Hildebrand. Mathematical Physics. Fourier transform of derivatives. F. Representations. Solution of Laplace and Poisson's equations. A. Bessel. J. Suggested Reading: • • • • • • B. Ordinary differential equations.Riemann condition. Arfken and H. orthogonality conditions. Joglekar. evaluation of definite integrals. S. Solution by series expansion. Legendre. Page | 218 . Cauchy integral formula. P. Herbert Golstein. J. Hamilton’s equation of motion Perturbation theory Hamilton Jacobi theory Poisson’s bracket in Classical Mechanics and its transition to quantum mechanics Classical field theory Suggested Reading: • • • • Classical Mechanics. Mathematics for Physicists. translation in Page | 219 . University science books. W. Dennery and A. Landau and Lifshtz. John R. Mathews and R.Lagrange’s equation and its application. Elements of Group Theory for Physicist. Ed. Ed . (4) PHY 602: Advanced Classical Mechanics • • • • • • • Review of Classical Mechanics Variational principles. Joshi. Taylor. Walker. Thompson Books (2004) Ed.3 (4) PHY 603: Advanced Quantum Mechanics Review of Quantum Mechanics Postulates of quantum mechanics. 3 Analytical Mechanics. Mathematical Methods of Physics. Fowels and Cassiday. Krzywicki. Mathematical Physics. time-dependence. S. 7 Classical Mechanics. symmetry : Unitary operators: translations in space. operator methods. 2004 Mechanics (Volume 1). Pearson (2011). matrix representations. L. ButterworthHeinemann (1976).• • • • A. Hassani. dipole approximation. Multielectron atoms: central field approximation. spontaneous emission. The WKB method: bound states and barrier penetration. diamagnetic hydrogen. H_2+ ion. first and second order expansion. spin-orbit coupling. Approximate Methods: Time-independent perturbation theory. selection rules. molecular orbitals. Zeeman effects. Partial wave analysis Page | 220 . excited states. Stark effect. Scattering by a Potential: Formalism. LS coupling. nearly free electron model. Atomic and molecular structure: Revision of the Hydrogen atom. Fine structure: relativistic corrections. scattering and Born approximation. hyperfine structure. Born-Oppenheimer approximation.time (evolution). Aharonov-Bohm effect. Magnetic resonance. Rabi oscillations. Angular momentum and spin. Hund's rules. Solutions to the Schrodinger equation in one dimension. Degenerate perturbation theory. Einstein's A and B coefficients. Radiative transitions. Variational method: ground state energy and eigenfunctions. Charged particles in electromagnetic fields Hamiltonian for a charged spinless particle in an electromagnetic field. reflections and parity. Perturbation series. H_2 molecule. Free electron in a uniform magnetic field: Landau levels. Gauge transformations and gauge nvariance. stimulated emission and absorption. Rotations. Born approximations. Cavity rate equations and lasers. ionic and covalent bonding. Fermi's Golden rule. Time-dependent perturbation theory: Two-level system. Conservation laws. Cohen-Tannoudji.Relativistic Quantum Mechanics Klein-Gordan equations and their solutions. Paffuti Quantum Mechanics. Manipulation of ultrashort pulses: Pulse shaping techniques. Shankar Problems in Quantum Mechanics. Chirality and helicity. Lifshitz The Physics of Atoms and Quanta. L. Squires Quantum Mechanics: A New Introduction. mode-locking using optical Kerr Effect. transverse and longitudinal mode selection. Ultrafast-pulse measurement methods: Electric field autocorrelations and power spectrum. Gasiorowicz Quantum Mechanics: Non-Relativistic Theory. Schwabl Quantum Mechanics. R. M. Suggested Reading: • • • • • • • • and Dirac Quantum Physics. Ultrashort pulse generation: Active and passive mode-locking. F. G. Volume 3. Landau and L. D. Page | 221 . Haken and H. B.D. C. Schwabl Principles of Quantum Mechanics. H. C. S. Wolf Quantum Mechanics. Konishi and G. frequency resolved optical gating (FROG). coherence properties. L. K. laser rate equations. Intensity autocorrelations. F. Franck Laloe (4) PHY 613: Ultrafast Optics and Spectroscopy Basics laser theory: Einstein coefficient and light amplification. cavity modes. nonlinear Schrodinger equation. Suggested Reading: • • • • Ultrafast Optics by Andrew Weiner Laser Spectroscopy edited by Peter Hanna Ford Laser Theory and Applications by K. stimulated Raman scattering. second harmonic generation. THz time domain spectroscopy and imaging. Thyagarajan and A.Ultrafast time-resolved spectroscopy: Forced wave equations. modulation instability and solitons. Propagation equation for nonlinear refractive index media. Introduction to atto-second science. Terahertz electromagnetic radiations: THz generation detection. K. self-phase modulation. Khatak Ultrafast Optics edited by Rick Trebino and Jeff Squier and Page | 222 . Ulatrafast time-resolved spectroscopy: Degenerate and nondegenerate pump-probe transmission measurements. B. Prentice-Hall. New Delhi. New Jersey. H M Deitel and P J Deitel. H M Deitel and P J Deitel. Prentice-Hall. System Software and Applications Software. Introduction to computer networking Architecture of Networking Programming Suggested Books: • • • • • • B Kernighan and D M Ritchie. Client Server architecture. Hardware and Software. H M Deitel and P J Deitel. Pretice-Hall India. Disk Storage. Server & Clusters. C: How to Program. UNIX and LINUX. comparison of operation environments. Desktops. The C Programming Language. The choice of the programming textbook will depend on the programming language to be taught) Page | 223 . Notes and internet printouts of material on MS WINDOWS. New Jersey.Computer Science CS 101: Introduction to Computers • (3) • • • • • Basic Component of a Computer System: CPU and main Memory. (N. PrenticeHall. Operating systems. PYTHON: How to Program. workstations. JAVA: How to Program. Input and output units. function of each component. Features of a widely used operating environment such as MS WINDOWS. New Jersey. UNIX or LINUX. elasticity Households as consuming units: Indifference curves and the rate and elasticity of substitution. isoquants. cost functions and returns to scale. maximisation Supply & demand: Types of markets Marketing Strategies (2) Profit Concepts to be covered: Introduction: Positive and normative economics. utility maximizing equilibrium. income and substitution effects. oligopoly Marketing strategies: Marketing functions. Cost Functions. Firms and Markets Households: Utility maximisation. price. average and marginal functions. demand functions. demand curves and consumer surplus. Engel curves. objectives of marketing management. elasticity of substitution. cost minimisation. cross and income elasticities of demand Firms as producing units: Production functions: diminishing returns. Demand functions Firms: Production Functions. product life cycles Page | 224 . competition and price discovery. monopoly and monopsony. profit maximization Supply and demand: Prices as parameters in perfectly competitive markets. levels and patterns of market segmentation. market equilibrium under monopolistic competition.Humanities and Social Sciences HSS 205: Microeconomics • • • • • Introduction: Households. total. Hal R. Edgar K. & Zupan. 2011) (1) HSS 207: Macroeconomics • • • • • Introduction Consumption. Daniel L.Norton. Douglas & Whinston. Microeconomics (TMH. Microeconomic Theory and Applications (Wiley.Selected Readings: Text books: • Varian. Eleventh edition. 2009) Suggested books: • • • • Bernheim. 2011) Kotler. Microeconomics (PHI. aggregate demand. saving and investment functions Joint equilibrium in goods and financial markets Inflation and unemployment Open economy macroeconomics Concepts to be covered: Introduction: Macroeconomic aggregates. Intermediate Microeconomics (W. the Page | 225 . Eighth Edition. sectoral contributions to domestic product.W. saving and investment functions: Average and marginal propensities to consume and save. 2012) Browning. closed and open economies Consumption. & Rubinfeld. B. Fourteenth Edition. Second edition. Robert S. Marketing Management (Prentice Hall. 2013) Pindyck. Eighth edition. Philip. international comparisons and purchasing power parity. Michael D. Fifth Edition. Eleventh edition. the multiplier. Macroeconomics (PHI. Macroeconomics (TMH. the aggregate supply curve. non-tariff barriers Selected Readings: Text Books: • Dornbusch. Suggested Books: • • Olivier Blanchard. Barriers to Communication. the Balance Payments. Oral and Written Communication. Seventh edition. nominal and effective rates of protection. 2010).2010) N. Stanley Fischer and Richard Startz. 2010) (1) HSS 103: Basics of Communication Skills Communication Skills: Process of Communication.simple Keynesian closed economy equilibrium. the IS-LM model Inflation and unemployment: Measurement of inflation. Verbal and Nonverbal Communication Page | 226 . measuring unemployment in India Open economy macroeconomics: External and internal balance. Ways to avoid barriers. Rudiger. Principles of Communication. government consumption and taxation Joint equilibrium in goods and money markets: Demand for liquidity. Gregory Mankiw. the expectations-augmented Phillips curve. inflationary expectations and aggregate demand. trade tariffs. Macroeconomics (Worth Publishers. Barriers to Listening Role Plays Page | 227 . Clarity.Reading Skills: Process of Reading. Idiomatic usage. Run-together-fused sentences. understanding and interpreting facts. appropriateness and effectiveness. Comma splice. Faulty agreement and reference of pronouns. Mixed constructions. Language Skills: (a) Common Grammatical Mistakes: Sentence fragments. Exactness. Types of Listening. argumentative and expository techniques in spoken language use Listening Skills: Importance and Process of Listening. unity and coherence Spoken Language Skills: Descriptive. Shifts in point of view. searching for information. distinguishing facts from opinions and specific from general statements. concreteness. Colloquialisms (c) Strategies: Economy. narrative. emphasis. identifying themes and sub-themes. way to improve reading skills Reading Comprehension Skills: Discovering structure. Incomplete and illogical comparisons (b) Diction: Denotation and connotation. Omissions. drawing information and making generalizations. Drafting. Writing Notices. Circulars and Proposals Speaking Skills: Oral Presentation.. analogy. classification. preparation analysis and interpretation of reports. Descriptive narrative. etc. Public Speaking. and types of letters. Review Writing. Writing Techniques and Guidelines.HSS 104: Oral and Written Communication (1) Writing Skills: Developing a composition using various techniques like definition. Interview Skills. argumentative and expository techniques in writing. Debate Page | 228 . Resume and Job application Netiquettes. Technical writing Report Writing: Types of report. Kinds of Group Discussion. Letter Writing: Body Language of a letter.