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# Applied Mathematics (Mechanical & Civil Group)

BI 1382

New

Applied Mathematics (Mechanical & Civil Group)

Includes: Integration, Definite Integration, Application of Definite Integrals, Differential Equation, Applications of Differential Equations, Probability, Probability Distribution, Numerical Solution of algebraic equation, Numerical solution of simultaneous equation

According to New Revised 'E' Scheme

Rs.250

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

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Applied Mathematics (Mechanical & Civil Group)

Applied Mathematics (Mechanical & Civil Group)

Includes: Integration, Definite Integration, Application of Definite Integrals, Differential Equation, Applications of Differential Equations, Probability, Probability Distribution, Numerical Solution of algebraic equation, Numerical solution of simultaneous equation

According to New Revised 'E' Scheme