UPSC IAS/IFoS MATHEMATICS OPTIONAL BOOKSPAPER – I 1. Linear Algebra a. Linear Algebra – A.R. Vasistha (Krishna Series) b. Matrices – A. R. Vasistha (Krishna Series) 2. Calculus a. Differential Calculus– A.R. Vasistha, Dr. S.K Sharma (Krishna Series) b. Advanced Integral Calculus – Dr. D.C. Agarwal ( Krishna Series) 3. Analytic Geometry a. Solid Geometry – P.N. Chatterjee) 4. Ordinary Differential Equations Ordinary and Partial Differential Equations – M.D. Raisinghania (S. Chand) 1. Dynamics & Statics– Krishna SeriesStatics– Krishna SeriesDynamics– Krishna Series 2. Vector Analysis a. Vector Calculus – A.R. Vasistha& J.N. Sharma b. Vector Calculus – Shanti Narayana c. Curves in Spaces – P.N. Chatterjee (Class Handout) PAPER – II 1. Algebra a. Modern Algebra – Vasistha (Krishna Series) b. A course in Abstract Algebra – Khanna and Bhambri c. Modern Algebra – I. N. Herstein (John Wiley Publications) 2. Real Analysis a. Elements of Real Analysis – M.D. Raisinghania (S. Chand Series) 3. Complex Analysis a. Functions of a Complex Variable –J.N. Sharma (Krishna Series) b. Complex Analysis –Schaum’s Series 4. Linear Programming a. Operations Research –KantiSwarup, P. K. Gupta, ManMohan (S. Chand) b. Operations Research – S.D.Sharma 5. Partial Differential Equations a. M.D. Raisinghania ( Refer Paper – I Same book) 6. Numerical Analysis & Computer Programming a. A. R. Vasistha ( Krishna Series) b. Introductory Methods of Numerical Analysis – Sastry c. Numerical Methods – V. RajaRaman d. Computer Programming – Class Handout 7. Mechanics&Fluid Dynamics a. Fluid Dynamics – M.D. Raisinghania b. Mechanics – S. Chand Publications What chapters should be covered in ODE & PDE for mathematics optional of from MD Raisinghania book? So. So you can study from ADVANCED DIFFERENTIAL EQUATIONS BY SAME AUTHOR MD RAISINGANIA. So. So from 2008 to till now no Questions are appearing from this topic ) 4.39 5. not required 10.45 3. Not in our syllabus. Not in our syllabus. So. 4. Not in our syllabus. So.E (Paper-I Section B) 1. Complete 2. So. not required ( You might have seen previous year questions from 1992 to 2007 but UPSC changed the syllabus in 2008.2013 Edition BOOK Part-I (ELEMENTARY DIFFERENTIAL EQUATIONS) For O.E (Paper-II Section B) 1.36 9. Part-II (ADVANCE ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS) Not in our syllabus. 3. not required For Boundary value problems you can study from the same author book. not required For Laplace transformations is not covered in this book. Complete 6. Not in our syllabus. . Not in our syllabus. not required 10. not required 8. “ADVANCED DIFFERENTIAL EQUATIONS BY MD RAISINGANIA”. Complete 8. Part-III (PARTIAL DIFFERENTIAL EQUAITIONS) For P. Complete 6. 8. Complete 3.10 2. Not in our syllabus.D. Complete 7. 10. Complete 5. So. So.D. Complete 7. 2.12 4. not required at all. 1. not required 9. Not in our syllabus.54 11. So. pdf https://www.com/IAS/IAS-Mains-Papers/Mathematics/IAS-Mains- Mathematics-2014.html#pdfsection_aa95fd7a-page_1 http://ww4.com/event-2/ http://mathematicsoptional.com/IAS/IAS-Free-Study-Material/Mathematics/ .examrace.examrace.pdf https://www.wordpress.unravellingcse.quora.com/lpage.quora.com/ias-upsc-mathematics-optional-analysis-strategy/ http://mathematicsoptional.com/profile/Bhavesh-Mishra http://mathematicsoptional.files.com/?sub1=5579bbc2-6d93-11e7-8398-785520004e5c https://www.asp?cat=2&scat=0&desc=IAS+Maths+Series https://www.com/2016/12/solution-paper-1.https://www.com/channel/UCNeqnCvvzUfUPb1ev8uwWTA/videos https://tarunkaushik1.com/What-is-the-suggested-book-list-for-those-preparing-for-the- UPSC-mathematics-optional-2016 http://www.com/wp-content/uploads/2016/06/Linear-Algebra-UPSC- Maths-Optional-Coaching-Previous-Year-Module-wise-Question-Papers-from-2016-to- 1992.youtube.krishnaprakashan.com/the-top-best-ramanasri-maths-optional-coaching- institute-in-delhi-for-ias-ifos-ifs-upsc-cse-civil-services-exams-new-batches-fee-structure- details/ http://mathematicsoptional.com/ramanasri-maths-optional-free-seminar-for-upsc-ias- ifos-ifs-cse-civil-service-examinations/ http://mathematicsoptional.com/upcoming-batches-mathematics-optional-upsc-ias-ifos- ifs-cse-civil-service-examination-mains-top-best-coaching-institute/ http://mathematicsoptional. 3-D Geometry P.R.N. Vector Analysis A. Linear Algebra A.Chatterjee 4.Vasista Schaum Series (3000 solved problems book) 2. Vasista Schuam Series . Calculus and Real Analysis S.R.https://www.com/coaching/books/recommended-for-mathematics-ias-ifos- exam Recommended Mathematics Books For IAS/IFoS Examination Recommended Mathematics Books For IAS/IFoS Examination (For Paper I & Paper II) 1. Ordinary Differential Equations M.ims4maths.C Malik and Savita Arora Shanti Narayana 3.D. Raisinghania Ian Sneddon 5. Shankar Rao S.S. Ray 12. Computer Programming Raja Raman 11.D. Raisinghania . Sharma Ponnu Swami 8.6.R. Gallian Shramik Sen Upadhayay 7. Shasthry 10. Algebra Joseph A. Numerical Analysis Jain and Iyenger K. Vasista M. Dynamics & Statics A. Complex Analysis Schuam Series J. Linear Programming Shanti Swarup Kanti Swarup 9.N. Mechanics and Fluid Dynamics M. R. Goyal and K. Gupta J.P.K.in/2016/09/maths-optional-material.xaam. Gupta http://www.K.html .