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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 : Ongoing
Course Type : Core
Duration : 24 weeks
Start Date : 12 Apr 2021
End Date : 30 Sep 2021
Exam Date : 24 Sep 2021 IST
Enrollment Ends : 31 Aug 2021
Category :
  • School
Credit Points : 2
Level : School



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

Instructor bio

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.


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