The curriculum will be taken from the book
Differential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W. Hirsch, Stephen Smale, and Robert L. Devaney, 3rd. edition, 2013, Academic Press. UiO has access electronically at [More]
The lectures will be based on (subject to change)
* Chapter 1 (First-Order Equations).
* Chapter 2 (Planar Linear Systems).
* Chapter 3 (Phase Portraits for Planar Systems).
* Chapter 4 (Classification of Planar Systems).
* Chapter 5 (Higher-Dimensional Linear Algebra).
* Chapter 6 (Higher-Dimensional Linear Systems).
* Chapter 7 (Nonlinear Systems).
* Chapter 8 (Equilibria in Nonlinear Systems).
* Chapter 9 (Global Nonlinear Techniques).
* Chapter 10 (Closed Orbits and Limit Sets).
* Chapter 17 (Existence and Uniqueness Revisited).