Selection of the following topics:

• Curves and surfaces in Euclidean space
• Metrics and Riemannian manifolds
• Notions of curvature
• Vectorfields, covariant derivatives
• Geodesics, exponential map
• Gauss- Bonnet theorem
• Relations to discrete differential geometry

This course is a BMS course and will be held in English if requested.

Spivak, M.: A comprehensive introduction in differential geometry I–II

Montiel S. and Ros A.: Curves and Surfaces

Requirements:
Analysis I -III and Linear Algebra I - II.