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Modul
Minimal Surfaces [M-MATH-106666]
Credits
3Recurrence
UnregelmäßigDuration
1 SemesterLanguage
GermanLevel
4Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-113417 | Minimal Surfaces | 3 |
Competence Certificate
The module will be completed by an oral exam (about 30 min).
Competence Goal
Graduates
- are able to mathematically understand and solve a practical problem;
- can explain important results of the theory of minimal surfaces and apply them to examples;
- are prepared to write a thesis in the field of the theory of minimal surfaces or the calculus of variations.
Prerequisites
None
Content
Minimal surfaces are critical points of the area functional and locally minimize its area. They can also be described by having zero mean curvature. In this course we consider two dimensional minimal surfaces in R^3 and discuss their properties. We will use arguments from differential geometry, the calculus of variations, the theory of partial differential equations and functions of a complex variable. Our goal is to prove the classical Plateau's problem.
Recommendation
The course "Classical Methods for Partial Differential Equations" is recommended.
Workload
Total workload: 90 hours
Attendance: 30 hours
- lectures, problem classes, and examination
Self-studies: 60 hours
- follow-up and deepening of the course content,
- work on problem sheets,
- literature study and internet research relating to the course content,
- preparation for the module examination