| Date | Tentative class plan: |
| Tue, Jan 31 | A broad introduction to dynamical systems |
| Thu, Feb 2 | § 1.3: Elementary definitions. Demonstration of some other dynamical systems. |
| Tue, Feb 7 | § 1.2: Preliminaries from Calculus. Discusion of rotations of the circle. |
| Thu, Feb 9 | Snow day (A makeup was scheduled by the college). |
| Tue, Feb 14 | § 1.4: Hyperbolicity. Introduction to topological conjugacy. (Not introduced in the book until § 1.7). |
| Thu, Feb 16 | § 1.4: Hyperbolicity. |
| Tue, Feb 21 | § 1.5: An example: the quadratic family. Sage demonstration. |
| Thu, Feb 23 | § 1.5: An example: the quadratic family. |
| Tue, Feb 28 | First Midterm. |
| Thu, Mar 2 | § 1.5: An example: the quadratic family. |
| Tue, Mar 7 | § 1.6: Symbolic Dynamics. |
| Thu, Mar 9 | § 1.6: Symbolic Dynamics. |
| Tue, Mar 14 | Snow day (Smale's Lecture served as the makeup). |
| Thu, Mar 16 | § 1.7: Topological Conjugacy. Please read § 1.8: Chaos. § 1.9: Structural Stability. |
| Tue, Mar 21 | § 1.10: Sharkovskys Theorem. |
| Thu, Mar 23 | § 1.10: Sharkovskys Theorem. |
| Tue, Mar 28 | |
| Thu, Mar 30 | |
| Tue, Apr 4 | |
| Thu, Apr 6 | Second Midterm. |
| Tue, Apr 11 | Spring break |
| Thu, Apr 13 | Spring break |
| Tue, Apr 18 | Spring break |
| Thu, Apr 20 | No class: CCNY Classes follow Monday Schedule |
| Tue, Apr 25 | Discussed some of § 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. |
| Thu, Apr 27 | Discussed § 2.3: The Horseshoe Map |
| Tue, May 2 | Finish discussion of the Horsehoe map. Begin discussion of linear maps following § 2.1 and § 2.2. |
| Thu, May 4 | § 2.4: Toral automorphisms. |
| Tue, May 9 | |
| Thu, May 11 | |
| Tue, May 16 | |
| Thu, May 18 | Third Midterm. |
| Fri, May 19 | Make-up class. We'll have meetings about the presentations. |