Math 456: Partial differential equations
Welcome to the Math 456-556 homepage. Here you will find information on homework, supplementary notes, and other resources.
Notes and slides
- Introduction and preliminaries (PDF)
- Conservation principles and PDE models (PDF)
- Linearity and linear operators (PDF)
- Separation of variables (PDF)
- Higher dimension PDEs and eigenvalue problems (PDF)
- Green's functions and distributions (PDF)
- Fourier transforms (PDF)
- First and second order wave equations (PDF)
- The method of characteristics (PDF)
- Quasilinear transport, shocks and rarefactions (PDF)
- Dispersion relations, linearization and stability (PDF)
- Symmetry and similarity solutions (PDF)