Math 425

1. Fundamental concepts: some definitions for P.D.Es and its classification
2. Lagrange’s method and Cauchy ‘s method for solving first linear and quasi linear P.D.Es
3. Classification of linear P.D.Es of second order.
4. Harmonic functions ,Maximum and Minimum principle of harmonic functions
5. Solving the three types: Elliptic, Hyperbolic and Parabolic P.D.Es with some boundary value problems and initial conditions by using different methods.