Spring 2007: MAE 306 Engineering Mathematics (junior level)

The first half of the course introduces the theory of complex variables leading to its application for evaluating integrals by methods of contour integration, and using conformal mapping techniques to solve harmonic problems. The second half of the course is an introduction to partial differential equations with emphasis on their solution by separation of variables and transform methods.

Fall 2006: MAE 501 Advanced Engineering Analysis I (graduate level)

Methods of mathematical analysis for the solution of problems in physics and engineering. Topics include an introduction to functional analysis, linear analysis & eigenvalue problems for matrices & operators, Sturm-Liouville theory, Green's functions for the solution of linear ordinary differential equations and Poisson's equation, and the calculus of variations, and the inverse and implicit function theorems.