# Mathematics XII Part-I

By Prof. T. P. Sarma   |   DESM, NCERT, New Delhi
Learners enrolled: 3305
Mathematics is poetry of all creative and logical ideas. Everyone around us, be it a cook, a carpenter, an engineer, or scientist, everyone needs mathematics in their day to day life. Mathematical education is based on the twin premises that all students can learn mathematics and that all students need to learn mathematics. The course will deal with the concepts from class 12th mathematics like certain Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability and Applications of Derivatives. The course is divided into week wise schedule and as one will go through the course each week, it contains certain module(s) containing e-text, video tutorial along with self-assessment questions for practice and weblinks for extra study will be provided for learning.
Summary
 Course Status : Completed Course Type : Core Duration : 24 weeks Category : School Credit Points : 2 Level : School Start Date : 12 Apr 2021 End Date : 30 Sep 2021 Enrollment Ends : 31 Aug 2021 Exam Date : 24 Sep 2021 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

### Course layout

 Chapter No. Module No. Module Name Chapter 1 Module 1 Equivalence Relation Module 2 Bijective Functions Module 3 Composition of Functions Module 4 Invertible Functions Module 5 Binary Operations Assignment 1 Chapter 2 Module 6 Composition of functions and inverse of a function Module 7 Cosine function is a function Module 8 Inverse of Cotangent Function Module 9 Properties of Trigonometric functions Assignment 2 Chapter 3 Module 10 Construction of the Matrices, its types and equal matrices Module 11 Operations on matrices including matrix multiplication Module 12 Transpose of a Matrix, Symmetric and Skew symmetric matrices, Elementary Operations of a Matrix and Invertible Matrices Assignment 3 Chapter 4 Module 13 Determinants: Part 1 Module 14 Determinants: Part 2 Module 15 Determinants: Part 3 Module 16 Determinants: Part 4 Module 17 Determinants: Part 5 Assignment 4 Chapter 5 Module 18 Continuity and Differentiability: Part 1 Module 19 Continuity and Differentiability: Part 2 Assignment 5 Chapter 6 Module 20 Introduction to Rate and derivatives Module 21 Increasing and Decreasing functions Module 22 Slope and Equation of Tangents and Normals Module 23 First and Second Derivative of Local Maxima and Minima Assignment 6 Final Assessment

### Books and references

NCERT "Mathematics Part-I" for Class - XII

### Prof. T. P. Sarma

DESM, NCERT, New Delhi
Prof. T. P. Sarma
Educational Qualification M.Sc. , Ph.D. (Mathematics) from University of Delhi

Areas of Work Mathematics Education at School level Development of Teaching Materials, Teacher Training Material, Textual Material Research: Primary Mathematics, Mathematics Education, Mathematics.

### Course certificate

The final assessment will be conducted in the last week of the course i.e. from 24 Sept to 30 Sept 2021. The participants will get completion certificate if they score 70% and above in the final assessment.