ECE 69500 - Introduction to Mathematical Fundamentals for Systems and Control Theory

Note:

This is a 1-credit, 5-week course that runs weeks 1-5 of the semester. For more information on this course and subsequent courses, please go to https://sites.google.com/view/philpare/teaching.

Course Details

Lecture Hours: 3 Credits: 1

Areas of Specialization:

  • Automatic Control

Counts as:

  • EE Elective - Special Content
  • CMPE Special Content Elective

Normally Offered:

Fall - odd years

Campus/Online:

On-campus and online

Requisites:

ECE 30200; MA 26500 and 26600 (or MA 26200)

Requisites by Topic:

Undergraduate linear algebra, differential equations, and probability

Catalog Description:

This course serves as background for ECE 602 Lumped System Theory, ECE 595/695 Epidemic Processes over Networks, and ECE 695 Structure and Dynamics of Large-Scale Networks, and other similar courses. The course will make the necessary mathematical background for the aforementioned courses accessible by decomposing and illustrating difficult concepts with a number of real world examples and problems for students to work out. Namely, the course consists of five modules: 1) Linear Algebra, 2) Basic Graph Theory, 3) Basic Control Theory, 4) Probability, and 5) Optimization.

Required Text(s):

None.

Recommended Text(s):

  1. A First Course in Probability , S. Ross , Pearson , 2018 , ISBN No. 978-0134753119
  2. Convex Optimization , L. Vandenberghe, S. Boyd and S. P. Boyd , 2004 , ISBN No. 9780521833783
  3. Convex Optimization , L. Vandenberghe, S. Boyd and S. P. Boyd , 2004 , ISBN No. 9780521833783
  4. Feedback Systems: An Introduction for Scientists and Engineers , K. J. Astrom and R. M. Murray , 2009 , ISBN No. 9780691135762
  5. Introduction to Graph Theory , D. B. West , Pearson , 2012 , ISBN No. 9780131437371
  6. Matrix Analysis , R. A. Horn and C. R. Johnson , Cambridge University Press , 2012 , ISBN No. 978-0521548236

Lecture Outline:

Week Topic
1 Linear Algebra Review
2 Basic Graph Theory
3 Basic Control Theory
3 Basic Probability
4 Basic Optimization

Assessment Method:

Exam Quiz Homework