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NCERT

Mathematics XII Part-I

NCERT via Swayam

Overview

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 12thmathematics 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.

Syllabus

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

Taught by

Prof. T. P. Sarma

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