Advanced Linear Systems Theory
- 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.
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.
- 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