Modulets indhold, forløb og pædagogik

Læringsmål

Viden

• calculus of variations
• harmonic analysis
• Spectral theory
• mathematical physics
• (directed) algebraic topology
• Riemannian geometry

Færdigheder

• are able to present proofs of central results within one or several of the above mentioned areas
• can apply notions and methods from the area(s) to important examples

Kompetencer

• are able to describe and to analyse models from an area of application using key mathematical tools from the area(s)
• can reason at a concrete as well as at an abstract level concerning structures from analysis, geometry and/or topology

Undervisningsform

Lectures with exercises.

Omfang og forventet arbejdsindsats

Kursusmodulets omfang er 5 ECTS svarende til 137,5 timers studieindsats.

Eksamen

Prøver