Contents Part -1
Chapter 1. Relations and Functions
1.1 Introduction
1.2 Types of Relations
1.3 Types of Functions
1.4 Composition of Functions and Invertible Function
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Chapter 2. Inverse Trigonometric Functions
2.1 Introduction
2.2 Basic Concepts
2.3 Properties of Inverse Trigonometric Functions
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Chapter 3. Matrices
3.1 Introduction
3.2 Matrix
3.3 Types of Matrices
3.4 Operations on Matrices
3.5 Transpose of a Matrix
3.6 Symmetric and Skew Symmetric Matrices
3.7 Invertible Matrices
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Chapter 4. Determinants
4.1 Introduction
4.2 Determinant
4.3 Area of a Triangle
4.4 Minors and Cofactors
4.5 Adjoint and Inverse of a Matrix
4.6 Applications of Determinants and Matrices
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Chapter 5. Continuity and Differentiability
5.1 Introduction 104 5.2 Continuity
5.3 Differentiability
5.4 Exponential and Logarithmic Functions
5.5 Logarithmic Differentiation
5.6 Derivatives of Functions in Parametric Forms
5.7 Second Order Derivative
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Chapter 6. Application of Derivatives
6.1 Introduction
6.2 Rate of Change of Quantities
6.3 Increasing and Decreasing Functions
6.4 Maxima and Minima
Appendix 1: Proofs in Mathematics
A.1.1 Introduction
A.1.2 What is a Proof?
Appendix 2: Mathematical Modelling
A.2.1 Introduction
A.2.2 Why Mathematical Modelling?
A.2.3 Principles of Mathematical Modelling
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