Partial Differential Equations
Table of Contents
Course content
This is a typical first-year course on partial differential equations offered in a Ph.D. program in mathematics.
Topics
- Transport equation
- Laplace’s equation & Poisson’s equation
- Heat equation
- Wave equation
- Method of characteristics in generality
- Scalar conservation laws, weak solutions, and shock theory
- Linear wave theory and solitons — Korteweg-de Vries equation
Lecture notes
You can navigate through the material including the lecture notes and assignments from the left pane or simply by clicking the button below.