We will cover the first three chapters of "Morse theory and Floer homology" by Michèle Audin and Mihai Damian, and possibly some parts of the forth chapter. This means we will cover most of "Part I: Morse Theory" but we will not cover any part of the second part of the book, concerning Floer homology.
1. Introduction to Morse functions
2. The Morse lemma
4. Definting the Morse complex
5. Applications of the Morse complex (Poincare duality, Euler characteristic, etc)