Functional Analysis and Applications

4 credits

Topics in functional analysis, with the emphasis on those of use in applications. May include function spaces, linear functionals, dual spaces, reflexivity, linear operators, strong and weak convergence, Hahn-Banach Theorem, nonlinear functionals, differential calculus of variations, Pontryagin Maximum Principle. Students cannot obtain credit for MAE 289C if they have taken MAE 289. Prerequisites: MAE 289B, graduate standing, or consent of instructor.