1 credit
Fall 2025 Lecture Distance Learning
This course serves as background for ECE 60200 Lumped System Theory, ECE 69500 Epidemic Processes over Networks, and ECE 69500 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. Prerequisite: Linear Algebra (MA 26500 or MA 26200) or equivalent, ECE 30200 or equivalent.
Learning Outcomes1Analyze equations involving matrices by applying algebraic concepts such as rank, null space, linear independence, and eigenvalues.
2Define graph properties such as diameter, degrees, and connectivity, and apply them to analyze networked systems.
3Define properties of linear systems, including controllability, observability, and stability, and apply them to design state estimators and feedback controllers.
4Define probability distributions and moments of random variables and characterize the long-term behavior of stochastic processes.
5Specify the fundamental optimality conditions for optimization problems and implement basic algorithms to find the optimizers.
Restrictions
made by Purdue students.