David J.W. Simpson

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Undergraduate courses I'm teaching in 2025:

• 160.204 -- Differential Equations I
• 160.211 -- Linear Algebra
• 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

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