2025-2026 Graduate Catalog

ENGR 502 Advanced Engineering Mathematics

This course will introduce and apply Series Solutions and Fourier Analysis to Ordinary Differential Equations. Students will learn how to model nonlinear ordinary differential equations, use methods to approximate solutions and analyze the divergence of these approximations, apply differentiation, integration and other operations on functions involving complex variables to model engineering phenomena.

Credits

3

Prerequisite

Consent of Instructor

Offered

Fall

Outcomes

  1. Students will understand different solution approaches to ordinary differential equations (ODEs).
  2. Students will develop facility with Fourier series solutions to ODEs.
  3. Students will understand calculus with complex variables and functions.
  4. Students will employ power series solutions to ODEs.
  5. Students will understand separation of variables methods.
  6. Students will evaluate approximate solutions for efficacy and accuracy.