Teaching

UFUG 2103: Linear Algebra

Instructor: Zhenyi Yuan
Proposed offering: Spring 2026/27

Linear algebra provides a mathematical foundation for engineering, science, data analysis, optimization, control, and machine learning. This course introduces its central concepts and develops both computational skills and geometric intuition.

Course Topics

Systems of linear equations and matrix operations
Vector spaces, linear independence, bases, and dimension
Linear transformations and matrix representations
Eigenvalues, eigenvectors, and diagonalization
Inner products, orthogonality, and least-squares problems
Selected applications of linear algebra

Course Materials

Course announcements, lecture notes, assignments, and other materials will be posted here as they become available.

IOTA 5206: Interplay Between Artificial Intelligence and Control Systems

Instructor: Zhenyi Yuan
Proposed offering: Spring 2026/27
Credits: 3

This proposed postgraduate course develops a foundational understanding of artificial intelligence and control systems, with an emphasis on the interplay between machine learning, dynamical systems, and feedback control. Students will study how learning-based methods support system modeling, prediction, planning, decision-making, and controller design, as well as how control theory contributes to the analysis, interpretability, safety, robustness, adaptation, and reliable operation of intelligent systems.

Course Topics

Machine learning fundamentals and deep neural network training
Dynamical systems, stability, and feedback control
Attention, transformers, and large language models
Safety-critical control and model predictive control
Control-theoretic tools for modern AI systems
AI-enabled intelligent control systems

Course Materials

Course announcements, lecture notes, assignments, and other materials will be posted here as they become available.