| Week | Date | Sections | Topics covered | homework problems | Due |
| 1 | 28-Aug | 1 | Terminology | ||
| 30-Aug | 2.2,2.4 | One-dimensional flows, fixed points, stability | |||
| 1-Sep | Chaos: the video | see homework page | Sept 8 | ||
| 2 | 4-Sep | no class | Labor Day | ||
| 6-Sep | 2.4,2.8 | Discussion groups | |||
| 8-Sep | 2.8 | Linear stability. Numerics | |||
| 3 | 11-Sep | 3.1,3.2 | Bifurcations (saddle node and transcritical) | ||
| 13-Sep | HW presentations | ||||
| 15-Sep | 3.3,3.4 | Bifurcations (transcritical, pitchfork) | |||
| 4 | 18-Sep | 3.5,3.6 | Bead on a wire | ||
| 20-Sep | 3.6 | Catastrophe (cusp bifurcations) | |||
| 22-Sep | 10.1 | Fixed points and cobwebs | |||
| 5 | 25-Sep | 10.2 | More on bifurcations. Logistic map | ||
| 27-Sep | HW presentations | ||||
| 29-Sep | 10.3 | Logistic map - computer lab | |||
| 6 | 2-Oct | 10.4 | Period doubling | ||
| 4-Oct | 10.5 | Period 3. Chaos | |||
| 6-Oct | 10.6 | Lyapunov exponents | |||
| 7 | 9-Oct | 10.7 | Chaos and binary shift | ||
| 11-Oct | 3.5 | Periodic windows | |||
| 13-Oct | 3.6 | Renormalization | |||
| 8 | 16-Oct | 3.7 | More on renormalization | ||
| 18-Oct | 3.8 | HW presentations | |||
| 20-Oct | 5.1,5.2 | Classification of linear systems | |||
| 9 | 23-Oct | 5.3 | Love affairs | ||
| 25-Oct | Homework presentation (renormalization, step II) | ||||
| 27-Oct | 5.2 | More on linear systems | |||
| 10 | 30-Oct | 6.1 | The phase plane. A clinical model | ||
| 1-Nov | 6.1,6.2 | Linear systems. Nullclines | |||
| 3-Nov | 6.3,6.5 | Linearization about fixed points. Conservative systems | |||
| 11 | 6-Nov | 7.1,7.2 | Limit cycles. Gradient systems and Lyapunov functions | ||
| 8-Nov | 7.4,7.5 | Poincare-Bendixon theorem | |||
| 10-Nov | 9.1 | Relaxation oscillations | |||
| 12 | 13-Nov | 9.2 | Lorenz model | ||
| 15-Nov | 9.1 | A water-weel model | |||
| 17-Nov | Lorenz system | ||||
| 13 | 20-Nov | no classes |  |
Fall break | |
| 14 | 27-Nov | 9 | Lorenz system | ||
| 29-Nov | 9 | More on Lorenz analysis. | |||
| 1-Dec | 11.1 | Cantor sets. The horseshoe map. The solenoid. | |||
| 15 | 4-Dec | 11 | More on Cantor sets. | ||
| 6-Dec | 11.3,11.4 | Fractal dimension. Box dimension. | |||
| 8-Dec | 12 | The Henon map. A 2D strange attractor. | |||
| 16 | 11-Dec | Presentations(Cody and Nathan) | |||
| 13-Dec | Presentations (Marc and Jason) | ||||
| 15-Dec | Presentations (Hilary and Andy) | ||||
| 19-Dec | 1:30-4PM | Final presentations (Lee, Adam, Chris and Bryan) All presentations are scheduled in Stadium 135. Please, attend the final exam and hand in your projects. |