Engineering Mathematics III

Simple notes for engineering mathematics -III.It almost cover important topics chapter wise

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