Lecture plan/topics
This plan will be updated throughout the semester.
| Day | Topic | Sections | Remarks |
|---|---|---|---|
| 1.10 | Introduction | 1.1,1.2,1.3 | |
| 1.11 | Introduction | 1.3,1.4,1.5,2.1 | |
| 1.17 | Linear Systems with Constant Coefficients | 2.2 | |
| 1.18 | Linear Systems with Constant Coefficients | 2.3 | |
| 1.24 | Classification and Phase Portraits for 2x2 systems | 2.4,2.5,2.6 | |
| 1.25 | Nonlinear Systems: Local Theory | 3.1,3.2 | |
| 1.31 | Nonlinear Systems: Local Theory | 3.2,3.3 | |
| 2.01 | Nonlinear Systems: Local Theory | 3.3 | |
| 2.07 | Nonlinear Systems: Local Theory | 3.3 | |
| 2.08 | Nonlinear Systems: Global Theory | 4.1,4.2 | |
| 2.14 | Nonlinear Systems: Global Theory | 4.2,4.4 | |
| 2.15 | Nonlinear Systems: Global Theory | 4.5,4.6 | |
| 2.21 | Nonlinear Systems: Global Theory | 4.5,4.6 | |
| 2.22 | Trajectories Near Equilibria | 6.1,6.2 | |
| 2.28 | Trajectories Near Equilibria | 6.1,6.2 | |
| 3.01 | Trajectories Near Equilibria | 6.1,6.2 | |
| 3.07 | Trajectories Near Equilibria | 6.5,6.6 | |
| 3.08 | Trajectories Near Equilibria | 6.5,6.6 | |
| 3.14 | Trajectories Near Equilibria | 6.6,6.7 | |
| 3.15 | Trajectories Near Equilibria | 6.7,6.9 | |
| 3.21 | Oscillations in ODEs | 7.1,7.2 | |
| 3.22 | Oscillations in ODEs | 7.1,7.2 | |
| 3.28 | Oscillations in ODEs | 7.2,7.3 | |
| 3.29 | Oscillations in ODEs | 7.2,7.3 | |
| 4.04 | Oscillations in ODEs | 7.3 | |
| 4.05 | Bifurcation from Equilibria | 8.1,8.2 | |
| 4.25 | Bifurcation from Equilibria | 8.1,8.2 | |
| 4.26 | No lecture | *** | |