contents: curves in the plane, inner and outer geometry of hypersurfaces.

contents:1) fixed point theorems: Banach, Brouwer, Schauder and Kakutani fixed point theorem

2) variational methods: first and second variation, notion of convexity, existence of minimizers within the class of Lipschitz continuous functions

3) degree of mapping: Brouwer's degree of mapping in R^n with topological applications