Engineering Mathematics III

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Chapter 1

1. Analytic functions

2. Harmonic Conjugate

3. Cauchy-Riemann Equations

4. Line Integral

5. Cauchy's Theorem

6. Cauchy's Integral Formula

7. Singular Points

8. Poles & Residues

9. Residue Theorem

10. Application of Residues theorem

Chapter 2

1. Errors & Approximations

2. Solution of Algebraic & Trancedental Equations

3. Solution of simultaneous linear equatins by Gauss Elimination

4. Gauss Jordan

5. Crout's methods

6. Jacobi's and Gauss-Siedel Iterative methods

Chapter 3

1. Difference Operators

2. Newton Forward & Backward Formulae

3. Central Interpolation Formulae

4. Lagrange's and divided difference formulae

5. Numerical Differentiation

6. Numerical Integration

Chapter 4

1. Solution of Ordinary Differential Equations

2. Taylor's Series

3. Picard's Method

4. Modified Euler's Method

5. Runge-Kutta Method

6. Milne's Predictor & Corrector method

7. Correlation and Regression

8. Curve Fitting

Chapter 5

1. Probability density function

2. Binomial

3. Poisson?s

4. Continuous Distribution

5. Normal Distribution

6. Exponential Distribution

7. Gamma Distribution

8. Beta Distribution

9. Chi-Square Method