A sound knowledge of linear algebra. elementary analytical geometry, real analysis, general topology and a bit of group theory.
To introduce students to some basic ideas of differential geometry and algebraic topology
Basics of differential geometry and Algebraic Topology.
I. M. Singer and J. A. Thorpe, Lecture Notes on Elementary Topology and Geometry; Springer.
Lectures and class exercises.
Written and oral tests. The written test is based on the solution of exercises. The oral test will examine the theoretical basis which determine the methods for the solution of problems.
The web page of the teacher contains downloadable files on some topics of the course.