Partial Differential Equations in Engineering

Description

Geometric interpretation of partial differential equation (PDE) characteristics; solution of first order PDEs and classification of second-order PDEs; self-similarity; separation of variables as applied to parabolic, hyperbolic, and elliptic PDEs; special functions; eigenfunction expansions; the method of characteristics. If time permits, Fourier integrals and transforms, Laplace transforms. Prerequisite: CME 200/ME 300A, equivalent, or consent of instructor.

Please note: this course is crosslisted with CME204

Prerequisites

An undergraduate GPA of 3.3 or better.

 

Topics include

• Self-similarity
• Special functions
• Eigenfunction expansions
• Method of characteristics
• If time permits, Fourier integrals and transforms, Laplace transforms

Course Availability

The course schedule is displayed for planning purposes – courses can be modified, changed, or cancelled. Course availability will be considered finalized on the first day of open enrollment. For quarterly enrollment dates, please refer to our graduate education section.