Readings refer to sections in the course notes.
| 3 Sept Logistic map dynamics. Ch 2, software, chaos illustration. | |
| 8 Sept Simple cardiac dynamics. Ch. 3 Another example | 10 Sept Differential equations models. Ch 4 |
| 15 Sept Integration techniques. Ch 6.1, 6.2, 6.3 | 17 Sept Integration techniques, continued. Ch 6.3, 6.4 |
| 22 Sept Autonomous differential equations, separation of variables, partial fractions. Ch. 9.1, 9.2, 9.3 | 24 Sept Partial fractions, power laws, lungs. Ch. 9.3, 10.1 - 10.4 |
| 29 Sept Dimension calculations and an example. Ch. 10.4 - 10.5 | 1 Oct Planar differential equations. Ch. 11.1 - 11.4 software |
| 6 Oct Nullcline analysis, linear systems. Ch. 11.5, 12. | 8 Oct Stability of linear fixed points. 13.1, 13.2, 13.3 |
| 13 Oct Eigenvalue analysis. Ch 13.3, 13.4 | 15 Oct Volterra's trick. Ch 14 |
| 20 Oct Midterm review. Practice exam 1, solutions. Practice exam 2, solutions. Practice exam 3, solutions. Practice exam 4, solutions. | |
| 27 Oct Midterm and solutions. | 29 Oct Stability of fixed points of nonlinear systems. Ch. 16.1, 16.2 |
| 3 Nov Nonlinear stability, continued. Ch 16.2 | 5 Nov Liapunov functions. Ch 17 |
| 10 Nov Limit cycles and the Poincaré-Bendixson theorem. Ch 18 | 12 Nov A first view of series. Ch 19.1, 19.2, 19.3, 19.4 |
| 17 Nov Power series. Ch 19.6, 19.7, 19.8 Convergence practice answers and hints | 19 Nov More convergence examples, solving time-dependent differential equations. Ch 19.9 |
| 1 Dec More solving time-dependent differential equations. Ch 19.9 | 3 Dec Probability and Markov processes. Ch 21.1, 21.2 |
| 8 Dec More probability examples | 10 Dec Markov process applications, a glimpse of synchronization. Ch 21.3 |
| Final Exam: Friday, Dec 18, 9am - 12:30pm, WLH 116. Practice final 1, solution. Practice final 2, solution. Practice final 3, solution. Practice final 4, solution. | |