Introduction to Partial Differential Equations

As taught in: Fall 2004

Two photos of sea waves.

Sea waves are solutions of complicated partial differential equations. (Image courtesy of NASA.)

Instructors:

Prof. Gigliola Staffilani

Prof. Andras Vasy

MIT Course Number:

18.152

Level:

Undergraduate

Course Features

Course Description

This course analyzes initial and boundary value problems for ordinary differential equations and the wave and heat equation in one space dimension. It also covers the Sturm-Liouville theory and eigenfunction expansions, as well as the Dirichlet problem for Laplace's operator and potential theory.