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MATH 405 Partial Differential Equations

This course covers the theory of initial and boundary value problems for linear parabolic, elliptic, and hyperbolic partial differential equations. Topics may include first order equations, second order equations, separation of variables, the Sturm-Liouville problem, transform methods, Green's functions, Fourier series, numerical methods and modeling applications.

Prerequisites

Special information

Note: Students whose prerequisites are not identified by the system should contact the Math and Statistics department for an override at MATH@metrostate.edu.
4 Undergraduate credits

Effective August 1, 1998 to present

Learning outcomes

General

  • Apply the wave, heat, Laplace, and the Poisson equation to model and study physical phenomena.
  • Use numerical methods to solve partial differential equations.
  • Derive Fourier series and be able to use them to solve boundary value problems.