Dynamical Systems I (4+2) The module transmits fundamental methods and knowledge of the following mathematical subjects:

• Existence and uniqueness of solutions of ordinary differential equations.
• Flows, differentiablility and first integrals
• Linear differential equations.
• Lyapunov functions
• α- and ω-limit sets
• Planar flows and the Poincaré-Bendixson theorem.
• Forced oscillations.

L.C. Evans, Partial Differential Equations. Gelegentlich: W. Strauss, Partial Differential Equation. Alle Exemplare beider Texte stehen im Handapparat Ecker.

Vorausgesetztes Material zu Analysis II und III siehe z.B. Appendices in diesem Buch (vor allem Appendix C und E (Maß- und Integrationstheorie).

Analysis I to III and Lineare Algebra I and II.