Spring quarter, 2013
| Days/Dates | Lectures | Sections | Topics Covered |
| Monday 4/1 | 1 | 7.0, 7.1 | Introduction to limit cycles. Examples |
| Wed. 4/3 | 2 | 7.2 | Ruling out closed orbits |
| Friday 4/5 | 3 | 7.3 | Poincare-Bendixson Theorem |
| Monday 4/8 | 4 | 7.3 | Poincare-Bendixson Theorem (continued) |
| Wed. 4/10 | 5 | 7.4, 7.5 | Lienard systems. Relaxation oscillations |
| Friday 4/12 | 6 | 7.6 | Weakly nonlinear oscillators |
| Monday 4/15 | 7 | 7.6 | Weakly nonlinear oscillators (continued) |
| Wed. 4/17 | 8 | 7.6 | Weakly nonlinear oscillators (continued) |
| Friday 4/19 | 9 | 8.0, 8.1 | Introduction to bifurcations. Saddle-node, transcritical, and pitchfork |
| Monday 4/22 | 10 | 8.2 | Hopf bifurcations |
| Wed. 4/24 | 11 | 8.3 | Osillating chemical reactions |
| Friday 4/26 | 12 | 8.4 | Global bifurcations of cycles |
| Monday 4/29 | 13 | 8.5 | Hysteresis |
| Wed. 5/1 | 14 | 8.5 | Hysteresis (continued) |
| Friday 5/3 | Midterm Exam 1. Cover: 7.1 - 7.6 and 8.1 - 8.5 | ||
| Monday 5/6 | 15 | 8.6 | Coupled oscillators and quasiperiodicity |
| Wed. 5/8 | 16 | 8.7 | Poincare Maps |
| Friday 5/10 | 17 | 8.7 | Poincare Maps (continued) |
| Monday 5/13 | 18 | 9.0, 9.2 | Lorenz equations and their simple properties |
| Wed. 5/15 | 19 | 9.2 | Simple properties of the Lorenz equations |
| Friday 5/17 | 20 | 9.3 | Chaos on a strange attractor |
| Monday 5/20 | 21 | 9.3 | Chaos on a strange attractor (continued) |
| Wed. 5/22 | 22 | 9.4 | Lorenz map |
| Friday 5/24 | 23 | 9.4 | Lorenz map |
| Monday 5/27 | Memorial Day Holiday | Wed. 5/29 | 24 | 9.5 | Exploring parameter space |
| Friday 5/31 | 25 | 10.0, 10.1 | Intro. to One-dimensional maps. Fixed points and cobwebs |
| Monday 6/3 | 26 | 10.3 | Logistic map: analysis |
| Wed. 6/5 | 27 | 10.4 | Periodic windows |
| Friday 6/7 | 28 | 10.5 | Liapunov exponent |
| Final Exam (cumulative): 8:00 am - 10:59 am, Wed. 6/12 | |||