# Curves and surfaces

Curves in the plane and space, curvature and torsion of a curve, global theory of curves. Surfaces in the Euclidean space, first and second fundamental form, curvature of a surface, Gauss map. Gauss-Bonnet theorem for surfaces.

### Schedule:

September 2021 – November 2021

### Teaching time:

Daytime

### Location:

Online

Espoo

### Topic:

Mathematics

### Form of learning:

On-campus

Online

### Provider:

Aalto University Open University

### Level:

Intermediate

### Credits:

5 By Aalto University (ECTS)

### Fee:

€ 75.00

## Course description

After passing the course the student will be able to - recognize the need of basic geometric concepts on their own field of expertise - distinguish between internal and external properties of geometric objects - share basic skills for calculating local geometric quantities - deduce global conclusions from local quantities