ECE 3250 - Mathematics of Signal and System Analysis

Fall. 4 credits. Letter grades only.

Prerequisite: MATH 2930, MATH 2940, and ECE 2200/ENGRD 2220 or permission of instructor.

D. Delchamps.

Course aims to deepen students’ working knowledge of mathematical tools relevant to ECE applications. While the course emphasizes fundamentals, it also provides an ECE context for the topics it covers, which include foundational material about sets and functions; modular arithmetic and public-key cryptography; inner products, orthogonal representations, and Fourier analysis; LTI systems as mappings on function spaces; sampling and interpolation; singular-value decomposition; and, as time permits, an introduction to wavelets and elementary convex analysis.

Outcome 1: Deepen their understanding of fundamental concepts from real analysis and linear algebra to which they have been exposed in their calculus and differential equation courses by putting them to work in an engineering context.

Outcome 2: Achieve a sophisticated understanding of fundamental signals and systems concepts, a few of which they have been exposed to on an elementary level in ECE 2200, by learning the mathematics behind them.

Outcome 3: Attain an appreciation of the central role that advanced mathematics plays in modeling, analysis, and design of engineering systems.