MATH-GA.2490-001 Introduction To Partial Differential Equations

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3 points

Course Description

The plan is to cover the transport equation, the method of characteristics, and the fundamental second order PDEs: the wave, Laplace and heat equations. Time permitting we will discuss: transform methods, Sobolev spaces, weak solutions, and some nonlinear PDEs.

Prerequisites

Knowledge of undergraduate level linear algebra and ODE; also some exposure to complex variables (can be taken concurrently).

Note: Master's students should consult course instructor before registering for PDE II in the spring.

Recent Offerings

TBA

Sample Exams

TBA

Recommended Texts

• Evans, L.C. Partial Differential Equations (2nd ed), 2010. Graduate Studies in
  Mathematics. Providence, RI: American Mathematical Society.