| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2025W |
| Learning Outcomes |
Competences |
| Students are familiar with differential geometric methods and with advanced proof and computational techniques of differential geometry.
|
|
| Skills |
Knowledge |
- use different descriptions of surfaces as well as of manifolds of higher dimension and of their submanifolds;
- analyze differential geometric properties of surfaces and manifolds;
- re-derive proofs of classical theorems of differential geometry;
- apply tensor calculus to investigate the properties of manifolds
|
Theory of surface curvature; Riemannian geometry; Geodesic curves and coordinate systems defined by them; Classes of surfaces with special properties
|
|
| Criteria for evaluation |
compulsory attendance, presentations of the exercises
|
| Methods |
The participants have to present the solved exercises on the blackboard.
|
| Language |
English and French |
| Study material |
Lecture notes and exercise sheets are available in KUSSS.
|
| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
TM1WLUEHDGE: UE Advanced differential geometry (2002W-2024S)
|
