Course Description
This course introduces three main types of partial differential equations: diffusion, elliptic, and hyperbolic. It includes mathematical tools, real-world examples and applications.
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Lecture Notes

Spherical waves coming from a point source. The solution of the initial-value problem for the wave equation in three space dimensions can be obtained from the solution for a spherical wave. (Image by Oleg Alexandrov on Wikimedia, including MATLAB source code.)