ECE 60281 - 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 Selective - Special Content
Normally Offered:
Each Fall
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 60283 Networked Epidemic Processes, 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):
- A First Course in Probability , S. Ross , Pearson , 2018 , ISBN No. 978-0134753119
- Convex Optimization , L. Vandenberghe, S. Boyd and S. P. Boyd , 2004 , ISBN No. 9780521833783
- Convex Optimization , L. Vandenberghe, S. Boyd and S. P. Boyd , 2004 , ISBN No. 9780521833783
- Feedback Systems: An Introduction for Scientists and Engineers , K. J. Astrom and R. M. Murray , 2009 , ISBN No. 9780691135762
- Introduction to Graph Theory , D. B. West , Pearson , 2012 , ISBN No. 9780131437371
- 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