PARTIAL DIFFERENTIAL EQUATIONS
- First order equations
- Classification of second order equations and hyperbolic equations
- Fourier series method
- Laplace equations
- Parabolic equations
This is supposed to be a first course on partial differential equations. We shall cover the basic linear theory. Students should have good background in advanced calculus.
- F. John, Partial Differential Equations, 4th Ed.
- M.A. Pinsky, Partial Differential Equations and Boundary-Value Problems with Applications
- E.C. Zachmanoglou and D.W. Thoe, Introduction to Partial Differential Equations with Applications