| Date | Tentative class plan: |
| Mon, Jan 28 | A broad introduction to dynamical systems (roughly following Devaney's § 1.1) |
| Wed, Jan 30 | § 1.2: Preliminaries from Calculus. Discusion of rotations of the circle. § 1.3: Elementary definitions. |
| Mon, Feb 4 | Worked through Sage notebooks related to topics covered so far. |
| Wed, Feb 6 | More discussion of homeomorphisms of R. Introduction to topological conjugacy. (Not introduced in the book until § 1.7). § 1.4: Hyperbolicity. |
| Mon, Feb 11 | § 1.4: Hyperbolicity. |
| Wed, Feb 13 | § 1.5: An example: the quadratic family. |
| Mon, Feb 18 | No class: CCNY is closed. |
| Wed, Feb 20 | § 1.5: An example: the quadratic family. |
| Mon, Feb 25 | § 1.6: Symbolic Dynamics. |
| Wed, Feb 27 | First Midterm. |
| Mon, Mar 4 | Snow day: CCNY was closed. |
| Wed, Mar 6 | § 1.6: Symbolic Dynamics. |
| Mon, Mar 11 | § 1.6: Symbolic Dynamics. § 1.7: Topological Conjugacy. |
| Wed, Mar 13 | § 1.7: Topological Conjugacy. § 1.9: Structural Stability. |
| Mon, Mar 18 | § 1.8: Chaos. § 1.10: Sharkovskys Theorem. |
| Wed, Mar 20 | § 1.10: Sharkovskys Theorem. |
| Mon, Mar 25 | § 1.11: The Schwarzian Derivative. |
| Wed, Mar 27 | Review for midterm 2. |
| Mon, Apr 1 | Second Midterm. |
| Wed, Apr 3 | § 1.12: Bifurcations |
| Mon, Apr 8 | § 1.13: Shifts of finite type § 2.1: Preliminaries. (In particular Brouwer's Fixed Point Theorem and the Contraction Mapping Theorem.) You will want to read the rest of the section. |
| Wed, Apr 10 | Discussion of linear maps following § 2.1 and § 2.2. Again, our discussion will be incomplete, you will want to read the section. § 2.3: The Horseshoe Map |
| Mon, Apr 15 | Finish discussion of the Horsehoe map. |
| Wed, Apr 17 | § 2.4: Toral automorphisms. |
| Mon, Apr 22 | Spring break |
| Wed, Apr 24 | Spring break |
| Mon, Apr 29 | Complex Dynamics (Prof. Merenkov) |
| Wed, May 1 | Complex Dynamics (Prof. Wolf) |
| Mon, May 6 | § 2.4: Toral automorphisms and Markov Partitions. § 2.5: Attractors, with an emphasis on the Solenoid |
| Wed, May 8 | § 2.6: The stable and unstable manifold theorem |
| Mon, May 13 | |
| Wed, May 15 | Third Midterm. |