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Partial Differential Equations. I

MATH/AMSC 673, Fall 2014

Course Information

Course Description (Preliminary)

This class will give an overview of the main types of Partial Differential Equations and some of the classical methods to analyse them. The corresponding PDE's are motivated by important applications to Physics and Biology. The material covered roughly corresponds to the first 4 chapters of Evans' book. We will start by the main linear models :
The class will present derivation for those equations, motivating them from Physics, Engineering and the Bio-Sciences.
Some classical numerical methods will also be presented.
We will then proceed to Nonlinear first-order PDE and to some representation formulas.

From the Mathematical point of view, the class will deal with