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Online Course

# Mathematics XI Part-I

NCERT via Swayam

6
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## Overview

Mathematics is a human activity, a social phenomenon a set of methods used to help illuminate the world and it is part of our culture. Mathematics is a part of our life experience which we talk about. Mathematics is the foundation and vitalizing energy for the basic sciences. Mathematics is not only about the developing new concepts but also developing a new meaningful language. Mathematics is a creative process, an art form expression of the human mind motivated by insight intuition and a desire to understand the world in which we live so intended for your effective and joyful learning. The course will deal with the concepts from class 11th mathematics like certain functions, complex numbers and quadratic equations etc. The knowledge of sets and functions will facilitate you to understand geometry and algebra.

## Syllabus

COURSE LAYOUT

Week

Module

Week 0

Introduction to the Course

Week 1

Set Notations- (Kemh_10101)

Week 2

Subsets and Supersets- (Kemh_10102)
Set Notations- (Kemh_10103)

Week 3

Algebra of Sets- (Kemh_10104)
Application of algebra on Sets- (Kemh_10105)

Week 4

Relation and Functions- (Kemh_10201)
Cartesian Product- (Kemh_10202)

Week 5

Types of functions- (Kemh_10203)
Properties- (Kemh_10204)

Week 6

Trigonometric Functions- (Kemh_10301)
Domain and Range of Trigonometric functions- (Kemh_10302)

Week 7

Graphs of Trigonometric functions- (Kemh_10303)
Trigonometric functions of multiple and submultiple angles- (Kemh_10304)

Week 8

Principle of Mathematical Induction- (Kemh_10401)
Examples of Mathematical Induction- (Kemh_10402)

Week 9

Introduction; Operations on Complex Numbers- (Kemh_10501)
Argand Plane and Polar Representation; Modulus and Conjugate Quadratic- (Kemh_10502)

Week 10

Equations with Complex Roots- (Kemh_10503)

Week 11

Linear inequalities- (Kemh_10601)
Equation and inequality- (Kemh_10602)

Week 12

Solving simultaneous equations- (Kemh_10604)

Week 13

Permutation and Combination- (Kemh_10701)
Visualization skills, Picture Method- Tree diagram- ((Kemh_10702)

Week 14

Fundamental principle of counting Product rule- (Kemh_10703)

Week 15

Introduction, Pascal’s Triangle, Proof of Binomial Theorem- (Kemh_10801)

Week 16

Sequence- (Kemh_10901)

Week 17

Arithmetic Progression (A.P.)- (Kemh_10902)
Geometric Progression (G.P.)- (Kemh_10903)

Week 18

Arithmetic Mean & Geometric Mean- (Kemh_10904)
Some Special Series- (Kemh_10905)

Week 19

Straight Lines- (Kemh_11001)
Lines parallel to coordinate axes- (Kemh_11002)

Week 20

General Equation of a line- (Kemh_11003)

Week 21

Conic sections- (Kemh_11101)
Parabola, Types of Parabola- (Kemh_11102)

Week 22

Latus Rectum- (Kemh_11103)
Standard Equation of Hyperbola- (Kemh_11104)

Week 23

Introduction to Three Dimensional- (Kemh_11201)
Geometry- (Kemh_11202)

#### Taught by

Prof. T. P. Sarma

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