| Days/Dates | Lectures | Sections | Topics Covered |
| Monday 3/30 | 1 | 7.0, 7.1 | Introduction to limit cycles. Examples |
| Wed. 4/1 | 2 | 7.2 | Ruling out closed orbits |
| Friday 4/3 | 3 | 7.3 | Poincare-Bendixson Theorem |
| Monday 4/6 | 4 | 7.3, 7.4 | Poincare-Bendixson Theorem (continued). Lienard systems. |
| Wed. 4/8 | 5 | 7.5 | Relaxation oscillations |
| Friday 4/10 | 6 | 7.6 | Weakly nonlinear oscillators |
| Monday 4/13 | 7 | 7.6 | Weakly nonlinear oscillators (continued) |
| Wed. 4/15 | 8 | 8.0, 8.1 | Introduction to bifurcations. Saddle-node, transcritical, and pitchfork bifurcations |
| Friday 4/17 | 9 | 8.2 | Hopf bifurcations |
| Monday 4/20 | 10 | 8.3 | Osillating chemical reactions |
| Wed. 4/22 | 11 | 8.4 | Global bifurcations of cycles |
| Friday 4/24 | 12 | 8.5 | Hysteresis in the driven pendulum |
| Monday 4/27 | 13 | 8.7 | Poincare Maps |
| Wed. 4/29 | 14 | 8.7 | Poincare Maps (continued) |
| Friday 5/1 | Midterm Exam. | ||
| Monday 5/4 | 15 | 9.0, 9.2 | Lorenz equations and their simple properties |
| Wed. 5/6 | 16 | 9.2 | Simple properties of the Lorenz equations (continued) |
| Friday 5/8 | 17 | 9.3 | Chaos on a strange attractor |
| Monday 5/11 | 18 | 9.3 | Chaos on a strange attractor (continued) |
| Wed. 5/13 | 19 | 9.4 | Lorenz map |
| Friday 5/15 | 20 | 10.0-10.2 | Introduction to One-dimensional maps. Fixed points and cobwebs. Logistic Map: Numerics |
| Monday 5/18 | 21 | 10.3 | Logistic map: Analysis |
| Wed. 5/20 | 22 | 10.4 | Periodic windows |
| Friday 5/22 | 23 | 10.5, 10.6 | Liapunov exponent. Universality and experiments |
| Monday 5/25 | Memorial Day Holiday | Wed. 5/27 | 24 | 10.7 | Renormalization |
| Friday 5/29 | 25 | 11.1, 11.2 | Countable and uncountable sets. Cantor Set |
| Monday 6/1 | 26 | 11.3, 11.4 | Dimension of self-similar fractals. Box dimension |
| Wed. 6/3 | 27 | 11.5 | Pointwise and correlation dimensions |
| Friday 6/5 | Review for Final Exam | ||
| Final Exam (cumulative): 11:30 am - 2:29 pm, Thursday, 6/11 | |||