Main reference: Lawrence Perko, Differential Equations and Dynamical Systems
Each student gets an individualized set of problems. Please solve them and write down the solutions with explanations and comments compiled in LaTeX. Then send them to me per e-mail.
Deadline: 30.04.2017.
List of assigned problems for each student
Supplementary list of problems
- The homework list has changed. The problems 8.1 (a), (b), (d) and 8.2 (a), (b), (d) are replaced by problems A, B, C, D, E, F from the supplementary list respectively.
- The pictures in the homework may prepared in an arbitrary way, as long as they are readable and included in the pdf file (e.g. by using the command \includegraphics). You can draw the diagrams using an arbitrary application (e.g. by drawing it on a piece of paper and then scanning it).
| Date | Nb | Subject/materials |
|---|---|---|
| 27.02. | 1. | Uncoupled Linear Systems [Perko, 1.1] |
| 13.03. | 2. | Diagonalisation and exponentials of operators. [Perko, 1.2-1.4] |
| 03.04. | 3. | Classification on R^2 and complex eigenvalues [Perko, 1.5-1.6] |
| 10.04. | 4. | Jordan form and stability theory [Perko, 1.8-1.9] |
| 24.04. | 5. | Jordan form and stability theory, pt. 2 [Perko, 1.8-1.9] |
| 22.05. | 6. | Nonlinear systems [Perko, 1.10-2.2] |
| 12.06. | 7. | Nonlinear systems (pt. 2) [Perko, 2.2-2.4] |