MAPÚA INSTITUTE OF TECHNOLOGYDepartment of Mathematics VISION The Mapua Institute of Technology shall be a global center of excellence in education by providing instructions that are current in content and state-of-the-art in delivery; by engaging in cutting-edge, high impact research; and by aggressively taking on present-day global concerns. MISSION The Mapua Institute of Technology disseminates, generates, preserves and applies knowledge in various fields of study. The Institute, using the most effective and efficient means, provides its students with highly relevant professional and advanced education in preparation for and furtherance of global practice. The Institute engages in research with high socio-economic impact and reports on the results of such inquiries. The Institute brings to bear humanity’s vast store of knowledge on the problems of industry and community in order to make the Philippines and the world a better place. BASIC STUDIES EDUCATIONAL OBJECTIVES a MISSION b c d 1. To provide students with a solid foundation in mathematics, physics, general chemistry and engineering drawing and to apply knowledge to engineering, architecture and other related disciplines. 2. To complement the technical training of the students with proficiency in oral, written, and graphics communication. 3. To instill in the students human values and cultural refinement through the humanities and social sciences. 4. To inculcate high ethical standards in the students through its integration in the learning activities. COURSE SYLLABUS 1. 2. 3. 4. 5. 6. Course Code: Course Title: Pre-requisite: Co-requisite: Credit: Course Description: MATH 13 SOLID MENSURATION MATH 12 None 2 units This course covers topics on mensuration of plane figures in space, and their applications. It also deals with determination of volumes and surface areas of solid figures such as prisms, cylinders, pyramids, cones, frustums, prismatoids, spheres and solids of revolution. Course Title: SOLID MENSURATION Date Effective: 1st Quarter SY 2012-2013 Date Revised: June 2012 Prepared by: Cluster IV Committee Approved by: LD SABINO Subject Chair Page 1 of 5 Course Outcomes (COs) and Relationship to Student Outcomes Course Outcomes After completing the course. prismatoid and truncated solids. or process to meet desired needs an ability to function on multidisciplinary teams an ability to identify. 9. Student Outcomes and Relationship to Basic Studies Educational Objectives Student Outcomes (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) an ability to apply knowledge of mathematics. Solve problems involving solids for which the volume is equal to the area of the base times height (V = Bh) namely prism and cylinder. D I D D D I R I D D I D D D I R I D * Level: I. science. TLAs. and an ability to engage in life-long learning a knowledge of contemporary issues an ability to use the techniques. and ATs of the course Overview on student-centered learning and eclectic approaches to be used in the course Course Title: SOLID MENSURATION Date Effective: 1st Quarter SY 2012-2013 Date Revised: June 2012 Prepared by: Cluster IV Committee Approved by: LD SABINO Subject Chair Page 2 of 5 . the student must be able to: 1. as well as to analyze and interpret from data an ability to design a system. 2.Demonstrated TLA AT COURSE OUTCOMES Mission and Vision of Mapua Institute of Technology Orientation and Introduction to the Course Discussion on COs. Solve problems involving solids for which the volume is equal to the product of the mean of the area of base and height (V = (mean B)h namely frustum. 3. and solve engineering problems an understanding of professional and ethical responsibility an ability to communicate effectively the broad education necessary to understand the impact of engineering solutions in the global and societal context a recognition of the need for. formulate. Course Coverage Week 1 TOPICS D. skills. and solve problems involving spheres and other miscellaneous solids. Apply the basic concepts of mensuration of plane figures in solving Student Outcomes* D e f g h i D D I R a D b c I j I K D geometric problems.Reinforced. and engineering an ability to design and conduct experiments. R. component.Introduced. and solve problems involving solids for which the volume is equal to one-third of the product of area of base and height (V=1/3 Bh) namely cone and pyramid.7. and modern engineering tools necessary for engineering practice Basic Studies Educational Objectives 1 2 3 4 √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ √ 8. spherical cone Lecture/Discussion Homework 3 QUIZ 3 (moodle type) 10 Ellipsoid.Week TOPICS Mensuration of Plane Figures: . Area of the Surface.Properties.sector. Volumes and Surface areas of platonic solids Prisms.Regular Polygons TLA Lecture/Discussion Lecture/Discussion AT COURSE OUTCOMES CO 1 2 Triangles and Quadrilaterals -parallelogram. Elliptical section and composite Figures Lecture/Discussion Lecture/Discussion Homework 1 QUIZ 1 4 5 Solid Mensuration : V=Bh Polyhedra. Rhombus. segment.rectangle. Spherical sector. trapezoid and trapezium Lecture/Discussion Lecture/Discussion 3 Circles: definitions and theorems on Circles .zone. annulus and cyclic quadrilateral Star polygons.square. Torus Collaborative Learning Project 1 : Problem-based approach Project 2 : (Short film DocumentaryEnvironment Related) Pappus Guldinus Theorem and Composite Solids Lecture/Discussion Summative Assessment: Final Examination CO 1 to 3 11 Course Title: SOLID MENSURATION Date Effective: 1st Quarter SY 2012-2013 Date Revised: June 2012 Prepared by: Cluster IV Committee Approved by: LD SABINO Subject Chair Page 3 of 5 . Similar figures. Paraboloid. parabolic section. and Volume . Rectangular Parallelepiped and Cube Lecture/Discussion CO 2 6 Lecture/Discussion Cylinders 7 Solid Mensuration: V=1/3 Bh Pyramids and Cones Solid Mensuration : V=(Mean B)h Frustums of Cones and Pyramids Truncated Prisms and Cylinders Prismatoids Cylindrical wedge Lecture/Discussion Homework 2 QUIZ 2 8 Lecture/Discussion Lecture/Discussion CO 3 9 Sphere . 75 15. Textbook: Solid Mensuration – Understanding the 3D Space by Richard Earnhart 13. Written Examination Course Title: SOLID MENSURATION Date Effective: 1st Quarter SY 2012-2013 Date Revised: June 2012 Prepared by: Cluster IV Committee Approved by: LD SABINO Subject Chair Page 4 of 5 .00 (Fail) 13.10. Contribution of Course to Meeting the Professional Component Engineering Topics General Education Basic Sciences and Mathematics : : : 0% 0% 100% 12.25 2. Attendance According to CHED policy. Opportunities to Develop Lifelong Learning Skill 11.00 5. Submission of Assessment Tasks c. Other Course Policies a. Students incurring more than 9 hours of unexcused absences automatically gets a failing grade regardless of class standing.50 2.75 21 Quiz 1 Homework Quiz 2 Homework Quiz 3 Homework Project Summative Assessment: Final Examination TOTAL CO 1 (30%) CO 2 (30%) CO 3 (40%) 19. b.00 1.5 3 19.5 3 16 4 10 25 100% 17.00 2.5 70 The final grades will correspond to the weighted average scores shown below: Final Average 96 X < 100 93 X < 96 90 X < 93 86 X < 90 83 X < 86 80 X < 83 76 X < 80 73 X < 76 70 X < 73 Below 70 Final Grade 1. total number of absences by the students should not be more than 20% of the total number of meetings or 9 hrs for a three-unit-course.1.75 3.50 1. Course Evaluation Student performance will be rated based on the following: Assessment Tasks Weight Minimum Average for Satisfactory Performance 15.75 2.25 1. ph ). 14. and documentation will be in English. in the opinion of the instructor. the student will be referred to the Prefect of Student Affairs and be given a failing grade. Wyndell A. Honor. g. If a student is caught cheating twice. If a student is caught cheating on an exam. Gilford B. he or she will be given zero mark for the exam. Committee Members: Course Cluster Chair: Engr.2 15.mapua.yahoo. Consultation Schedule Consultation schedules with the Professor are posted outside the faculty room and in the Department’s web-page ( http://math. Valerio Course Title: SOLID MENSURATION Date Effective: 1st Quarter SY 2012-2013 Date Revised: June 2012 Prepared by: Cluster IV Committee Approved by: LD SABINO Subject Chair Page 5 of 5 . Proper citation must be given to authors whose works were used in the process of developing instructional materials and learning in this course. We have all committed to obey and sustain these codes.com/group/solidmensuration_mapua 14. Written and spoken work may receive a lower mark if it is.com/reviewer/solid-mensuration/solid-mensuration http://groups. f. It will be expected in this class that each of us will honor the commitments that we have made. Santos Members: Engr. discussion. Joseph G. deficient in English. Richard T. Ma. Estores Engr. Language of Instruction Lectures. Jaballas Engr. Other References 14. For this course the Honor Code is that there will be no plagiarizing on written work and no cheating on exams. Earnhart CQI Cluster Chair: Prof. Course Materials Made Available Course schedules for lectures and quizzes Samples of assignment/Problem sets of students Samples of written examinations of students End-of-course self-assessment 16.1. Morris Martin M.edu. It is recommended that the student first set an appointment to confirm the instructor’s availability. Books Plane and Solid Mensuration by Earnhart and Bejasa Solid Mensuration by Kern and Bland Websites http://www. Almenor Engr. Course Portfolio e.d. Christina A.mathalino. Dress and Grooming Codes All of us have been instructed on the Dress and Grooming Codes of the Institute.