| Week | Topic | Reading | Homework |
| 1 | Motivating Examples, Linear Systems, Examples and Classification | Strogatz Chapter 1, 5.0-5.3 | HW 1 Assigned |
| 2 | Phase Plane: Phase Portraits | Strogatz 6.0-6.4 | HW 2 Assigned; HW 1 Due |
| 3 | Fixed Points and Linearization, Potentials, Conservative Systems, Reversible Systems | Strogatz 2.7, 6.5-6.8 | HW 3 Assigned; HW 2 Due |
| 4 | Pendulum Example, Index Theory; Nonlinear Stability Theory: Lyapunov Stability | Strogatz 6.7, 6.8; Perko Chapter 3 | HW 4 Assigned; HW 3 Due |
| 5 | Limit Cycles: Examples, Ruling Out Closed Orbits; Poincare Bendixson | Strogatz 7.0-7.3 | Midterms Week |
| 6 | Lienard Systems, Relaxation Oscillations, Weakly Nonlinear Oscillators | Strogatz 7.4-7.6 | HW 5 Assigned; HW 4 Due |
| 7 | Weakly Nonlinear Oscillators; Bifurcations: Saddle-Node Bifurcations | Strogatz 7.6, 3.0-3.1 | HW 6 Assigned; HW 5 Due |
| 8 | Transcritical Bifurcations, Pitchfork Bifurcations, 2D Bifurcations: Saddle-Node, Transcritical and Pitchfork | Strogatz 3.2, 3.4, 8.0,8.1 | HW 7 Assigned; HW 6 Due |
| 9 | Hopf Bifucations and Examples; Review/Guest Lecture | Strogatz 8.2 | HW 7 Due |
| 10 | Finals Week | |
