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NCERT

Mathematics XI Part-I

NCERT via Swayam

Overview

Mathematics is a human activity, a social phenomenon a set of methods used to help illuminate the world . It is said so because it makes a man systematic. It nurtures the power of reasoning, creativity, critical thinking and problem solving ability. Mathematics is a part of our life experience which we will talk about in this course. Mathematics is the foundation and vitalizing energy for the basic sciences. This course will not only help to understand new concepts but also develop a new insight to view mathematics as an effective and joyful learning. The course will deal with the concepts from class 11th mathematics like sets and certain functions, trigonometric functions, quadratic equations, principle of mathematical induction, complex numbers, linear inequalities and permutation and combination. The course chapters are divided into certain modules which have been organized into week wise schedule where learners can have access to highly multimedia enriched videos along e-text, reading material, references and online assessments.

Syllabus

Chapter No.

Module No.

Module Name

Chapter 1

Module 1

Set Notations

Module 2

Subsets and Supersets

Module 3

Venn Diagram

Module 4

Algebra of Sets

Module 5

Application of algebra on Sets

Assignment 1

Chapter 2

Module 6

Relation and Functions

Module 7

Domain and Range of Relations

Module 8

Domain, Range and Types of functions

Module 9

Problems based on Relation and Functions

Assignment 2

Chapter 3

Module 10

Measurement of angles, degree, radian, conversion from radian to degree and vice versa, arc length

Module 11

Sign of trigonometric functions

Module 12

Domain, Range and Graph of Trigonometric functions

Module 13

Sine and Cosine of sum and difference of two angles, tangent and cotangent of sum and difference of two angles

Module 14

Trigonometric functions of multiple and submultiple angles

Module 15

Transformation of sum and difference of trigonometric and functions into product of trigonometric functions

Module 16

Trigonometric equations

Module 17

Sine rule, Cosine rule

Assignment 3

Chapter 4

Module 18

Principle of Mathematical Induction

Module 19

Examples of Mathematical Induction

Assignment 4

Chapter 5

Module 20

Complex Numbers – Introduction; Operations on Complex Numbers

Module 21

Complex Numbers – Quadratic Equations with Complex Roots

Module 22

Complex Numbers – Argand Plane and Polar Representation

Assignment 5

Chapter 6

Module 23

Linear Inequalities

Module 24

Equation and Inequality

Module 25

Graphical solution of linear inequalities

Module 26

Solving simultaneous equations

Assignment 6

Chapter 7

Module 27

Permutation and Combination: Part 1

Module 28

Permutation and Combination: Part 2

Module 29

Permutation and Combination: Part 3

Assignment 7

Final Assessment

Taught by

Prof. T. P. Sarma

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