MATH-GA.2490-001 Introduction To Partial Differential Equations
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.
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.
- Evans, L.C. Partial Differential Equations (2nd ed), 2010. Graduate Studies in
Mathematics. Providence, RI: American Mathematical Society.