ECE 501B
Advanced Linear Systems Theory
Fall
Required Course:
No
Course Level
Graduate
Units
3
Prerequisite(s)
Graduate standing or permission of the instructor
Course Texts
- Axler, Sheldon. Linear Algebra Done Right. 2nd ed. Springer, 1997.
- Franks, L.E. Signal Theory. Revised ed. Dowden & Culver, 1981. (Provided)
Suggested: Solow, Daniel. How to Read and Do Proofs. 4th ed. Wiley, 2005.
Schedule
150 minutes lecture per week
Course Links
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.
Assessment
- Homework: 6 assignments
- Project: 1 team project
- Exams: 2 midterm exams, 1 final exam
- Typical grading policy: 50% midterms, 30% final exam, 10% homework, 10% project