Course Detail
Units:
3.0
Course Components:
Lecture
Enrollment Information
Enrollment Requirement:
Prerequisite: A grade of C or better in MATH 5210.
Description
First-order equations: characteristics, transport equations, shocks, Hamilton-Jacobi theory. Boundary value problems for the Laplace equation: maximum principles, Green's functions, Hilbert space methods. Cauchy and initial-boundary value problems for the heat equation and wave equation: existence and basic properties.