ME 6500 - Advanced Engineering Mathematics I

This course will focus on analytical solutions to linear Partial Differential Equations (PDEs), with an emphasis on applications of PDEs in Engineering problems. The goal is to impart to students the excitement and usefulness of mathematics as a tool in solving real-world problems. The approach will be to look at the mathematical modeling & solution of simplified Engineering problems. The course is intended to act as a foundation course for engineering graduate students coming from a range of backgrounds, but with previous exposure to multi-variable calculus and linear constant coefficient ordinary differential equations.

Requisites:
Credit Hours: 3.0 lecture
Repeat/Retake Information: May not be retaken.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Learning Outcomes:

Students will be able to mathematically model a simplified engineering problem making use of linear partial differential equations (PDEs).
Students will be able to use and analytically solve elliptic PDEs in simplified engineering problems.
Students will be able to use and analytically solve hyperbolic PDEs in simplified engineering problems.
Students will be able to use and analytically solve parabolic PDEs in simplified engineering problems.
Students will be able to identify the types and uses of linear PDEs.