Advanced Mathematics for Signals, Systems, Control and Communications

EEE 440 gives you the functional-analysis machinery that quietly underlies everything you've been doing intuitively in signals, control, and communications, treating signals as vectors in Hilbert spaces, projections as estimators, and system design as optimization over function spaces. You'll work through weekly problem sets out of Luenberger, sit a midterm and final, and build a project that applies these tools to a real signal-processing or control problem. It's the bridge between undergraduate EE math and graduate-level work in estimation, detection, and optimal control, and it's where ideas like least-squares, duality, and the delta function finally stop being recipes and start being theorems.