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.