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

Required Course: 

Course Level

Units

Prerequisite(s)

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

Course Description