Contents

1. Preliminary

1.1 Introduction

1.2 Function

1.3 Limit of a function

1.4 Derivatives

1.5 Integration

2. Solution of Non-Linear Equations

2.1 Introduction

2.2 Bisection method

2.3 Newton raphson method

3. Interpolation

3.1 Introduction

3.2 Forward & backward difference operator and tables

3.3 Symbolic relations

3.4 Factorial notation

3.5 Newton’s forward difference & backward difference …

3.6 Lagrange’s formula for interpolation with unequally….

4. Curve Fitting

4.1 Introduction

4.2 The method of least squares

4.3 Fitting a linear equations (A Straight Line)

4.4 Fitting a second degree polynomial function

5. Numerical Differentiation

5.1 Numerical differentiation

5.2 Numerical integration

6. Numerical Solutions of Ordinary Differential Equations

6.1 Ordinary differential equations

6.2 Taylor’s series method

6.3 Picard’s method

6.4 Euler’s method

6.5 Runge-kutta method

7. Quantitative Techniques

7.1 Linear programming problem

7.2 Transportation problem (T.P.)

7.3 Assignment problem (A.P.)

Solved Question Papers – October 2010