CONTENTS:

CHAPTER 1: Relation and Function

1.1 Introduction

Types of Relations on A Set 1.2

Congruence Modulo Relation on Integers 1.3

Equivalence class 1.4

Exercises 1(a)

Functions: Types of Functions 1.5

1.6 Composition of Functions

1.7 Inverse of a Function

Exercises 1 (b)

1.8 Binary Operations

Exercises 1 (c)

CHAPTER 2: Inverse Trigonometric Functions

2.0 Introduction

2.1 Definitions:

2.2

Graphs:

2.3

Important Properties

Exercises 2

CHAPTER 3: Linear Programming

3.1 Introduction

3.2 General Linear Programming Problem (L.P.P.)

3.3 Types of Linear Programming Problems.

3.4 Formulation of LPP

Exercises 3 (a)

3.5 Graphical Solution of LPP.

3.5.1 Working procedure to solue LPP graphically.

Exercises 3 (b)

CHAPTER 4: Matrices

4.0

Introduction

4.1 Matrix, what it is:

4.2 Some Definitions:

4.3 Algebra of Matrices (Operations on matrices):

Exercises 4 (a)

4.4 Symmetric and Skew Symmetric Matrix:

4.5 Transformation of Matrices (Elementary Row & Column Operat

4.6 Inverse of a Matrix

Exercises – 4 (b)

CHAPTER 5: Determinants

5.0

Introduction

Determinant of a square matrix 5.1

5.2 Minors, Cofactors and Expansion of a determinant.

5.3 Application of determinants in finding the area of a triangle

6.4 Some properties of Determinants

5.5 Some special types of Determinants

5.6 Product of Determinants

6.7 Illustrative Examples:

Exercises 5 (a)

5.8 Consistency, Inconsistency and number of solutions of a system of linear equations.

5.9 Inverse of a square matrix

5.10 System of linear equations and solution (Matrix method)