Math 432 Partial Differential Equations

Course Description

(3-0) 3 credits. Prerequisites: MATH 225 and MATH 321. Fourier series, partial differential equations, Frobenius series, Bessel functions, and transform methods.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. write the Fourier Series for a function
  2. use the Fourier Series to approximate the solution to a partial differential equation
  3. use Bessel functions to solve the appropriate boundary value problems
  4. implement the method of lines
  5. describe the characteristics of a well-posed partial differential equation
  6. apply the solution techniques associated with the problems of: the heat equation, wave equation, and the Laplacian