Contents

1. Integration

1.1 Introduction

1.2 Rules of Integration

1.3 Methods of Integration

2. Definite Integration

2.1 Introduction

2.2 Definition

2.3 Properties of Definite Integrals

3. Application of Definite Integrals

3.1 Introduction

4. Differential Equation

4.1 Introduction

4.2 Solution of first order first degree differential Equation

4.3 Bernoulli’s Equations

5. Applications of Differential Equations

5.1 Rectilinear Motion under Constant Acceleration

5.2 Rectilinear Motion under Variable Acceleration

5.3 Simple Harmonic Motion (S.H.M.)

6. Probability

6.1 Introduction

6.2 Definition of Probability of an Event

7. Probability Distribution

7.1 Introduction

7.2 Binomial distribution

7.3 Poisson Distribution

7.4 Normal distribution

8. Numerical Solution of algebraic equation

8.1 Introduction

8.2 Bisection method

8.3 Regula Falsi method

8.4 Newton-Rapson method

9. Numerical solution of simultaneous equation

9.1 Introduction

9.2 Elimination method – Gauss elimination method

9.3 Gauss-Seidal method (Iterative Method)

9.4 Jacobi’s method