Math 232 - Introduction to Partial Differential Equations
Weekly schedule of topics.
Lecture notes (access restricted to Duke users)
Introduction
First order equations, method of characteristics
Weak solutions, shocks, conservation laws
Introduction to second order equations
The wave equation in one dimension
The wave equation in 2 and 3 dimensions
The wave equation in bounded domains, separation of variables
Laplace's equation, Poisson's equation, Green's functions
The heat equation
The Fourier transform and applications to PDE
Introduction to weak derivatives
Variational methods, eigenvalues and eigenfunctions
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