The course is an introduction to the basic concepts of differential geometry : manifolds, tangent spaces, vector fields, differentiable maps. The ability of the student to use the concepts and to visualize geometrically the situations will be important.
Main themes
The basic concepts of differential geometry will be presented and illustrated by examples and applications.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Supplemental courses Géométrie et topologie différentielles II
Evaluation Written exam : Exercises and problems