Undergraduate courses I’m teaching in 2026:

• 160.104 — Introductory Mathematics for Science
• 160.204 — Differential Equations I
• 160.212 — Discrete Mathematics
• 160.318 — Differential Equations II

A postgraduate course (no longer offered but the notes below might be of use):

• 160.734 — Studies in Applied Differential Equations
• This is a course on dynamical systems, mostly ODEs.
• Outline
• The following notes will supplement lectures:
1. Linear systems
2. Existence and uniqueness
3. Stability, topological equivalence, and attractors
4. Invariant manifolds
5. Bifurcations
6. A first look at chaos
7. Maps
8. Symbolic dynamics, measure theory, and ergodic theory
• Tests from previous years:
• 2019
• 2018, Solutions
• 2017, Solutions
• 2016
• 2015
• 2014
• 2013