Lecturer: Mehran Seyedhosseini

The aim of this lecture is to familiarise the students with the fundamental objects and concepts of differential geometry. After a brief review and introduction of differential calculus and point set topology, we will discuss

• manifolds and their tangent and cotangent bundles
• vector fields and flows
• tensor fields and differential forms
• integration and Stokes' Theorem
• de Rham cohomology

This course will be tought in German.