Mathematics - III Tutorial

Mathematics - III

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Module-I

1. Partial differential equation of first order
2. Linear partial differential equation
3. Non-linear partial differential equation
4. Homogenous and non-homogeneous partial differential equation with constant co-efficient
5. Cauchy type
6. Monge’s method
7. Second order partial differential equation
8. The vibrating string
9. the wave equation and its solution
10. the heat equation and its solution
11. Two dimensional wave equation and its solution
12. Laplace equation in polar, cylindrical and spherical coordinates
13. potential

Module-II

1. Complex Analysis
2. Analytic function
3. Cauchy-Riemann equations
4. Laplace equation
5. Conformal mapping,
6. Complex integration
7. Line integral in the complex plane
8. Cauchy’s integral theorem
9. Cauchy’s integral formula
10. Derivatives of analytic functions

Module –III

1. Power Series
2. Taylor’s series 
3. Laurent’s series
4. Singularities and zeros
5. Residue integration method
6. evaluation of real integrals