- Lecture 1: Introduction
- Lecture 2: Review of Point Set Topology (no notes)
- Lecture 3: Topological Transitivity, Minimality, Kronecker's Theorem
- Lecture 4: Dynamical Proof of Van Der Waerden's Theorem
- Lecture 5: Review of Measure Theory
- Lecture 6: Invariant Measures
- Lecture 7: Ergodicity and Unique Ergodicity
- Lecture 8: Dynamical Proof of the Uniform Distribution of {n^k alpha}
- Review of Manifolds
- Lecture 9: Introduction to Hyperbolic Phenomena
- Lecture 10: Pesin Charts and Exponential Sensitivity to Initial Conditions
- Lecture 11: Shadowing Lemma, Closing Lemma, Structural Stability
- Lecture 12: Invariant Cones and the Stability of Hyperbolic Sets
- Lecture 13: Completion of the Proof of Structural Stability