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Graduate Programs
Home / Graduate Programs / Courses / Advanced Linear Systems Theory

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

ECE 501B Course Website

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
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The University of Arizona
Department of Electrical & Computer Engineering
1230 E. Speedway Blvd.
P.O. Box 210104
Tucson, AZ 85721-0104
520.621.6193

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