COVID-19 updates: Everyone coming to campus must complete a self-assessment daily. More about the screening

All COVID-19 updates and information

MATH 405

Partial Differential Equations

4 Undergraduate credits
Effective August 1, 1998 – Present

Graduation requirements this course fulfills

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.

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.

Learning outcomes

General

  • Demonstrate comprehension and capability to derive Fourier series and Fourier transforms.
  • Understand basic numerical methods of partial differential equations.
  • Understand the Sturm-Liouville theory and its applications.
  • Understand the theory and the applications of the wave, the heat, the Laplace, and the Poisson equations in rectangular/polar/cylindrical/spherical coordinates, with boundary values.