Required course: No
Course Level
Graduate
Course Description
Mathematical fundamentals for analysis of linear systems. Maps and operators in finite and infinite dimensional linear vector spaces, metric spaces, and inner-product spaces. Introduction to representation theory. Eigensystems. Spectral theorems and singular value decomposition. Continuity, convergence and separability. Sturm-Louisville theory.
Enrollment Requirements
Graduate standing or permission of the instructor
Course Texts
- Axler, Sheldon. Linear Algebra Done Right. 3rd ed. Springer, 2015.
- Franks, L.E. Signal Theory. Revised ed. Dowden & Culver, 1981. (Provided)
- Suggested: Solow, Daniel. How to Read and Do Proofs. 6th ed., John Wiley & Sons, 2014.
Schedule
150 minutes lecture per week
Assessment
- Homework: 6 assignments
- Project: 1 team project
Course Units
3
Typically Offered
Fall
Available Online