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| Detailinformationen |
| Quellcurriculum |
Masterstudium Computational Mathematics 2025W |
| Lernergebnisse |
Kompetenzen |
| (*)Students are familiar with basic differential geometric knowledge and with fundamental proof and computational techniques of differential geometry, which are assumed to be known in more advanced courses.
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| Fertigkeiten |
Kenntnisse |
(*)- use various descriptions of curves, surfaces and manifolds;
- analyze differential geometric properties of curves, surfaces and curves on surfaces;
- re-derive proofs of classical theorems of differential geometry;
- apply tensor calculus to investigate the properties of surfaces
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(*)Frenet formulas and curvatures for curves in spaces of arbitrary dimension;
Surfaces and two-dimensional manifolds, theory of surface metrics and basic concepts of tensor calculus; basic concepts of the theory of surface curvature
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| Beurteilungskriterien |
(*)Exam
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| Lehrmethoden |
(*)Lecture
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| Abhaltungssprache |
Englisch |
| Literatur |
(*)- E. Kreyszig, Differential Geometry, Dover, 1990;
- M. DoCarmo, Differentialgeometrie von Kurven und Flächen, Vieweg;
- V. Wünsch, Differentialgeometrie - Kurven und Flächen, Wissenschaftsverlag Thüringen, 2012
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| Lehrinhalte wechselnd? |
Nein |
| Sonstige Informationen |
(*)Necessary previous knowledge: Basic lectures in mathematics
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| Frühere Varianten |
Decken ebenfalls die Anforderungen des Curriculums ab (von - bis)
402MMPHDGEV22: VO Differential Geometry (2022W-2023S)
TMAPAVODGEO: VO Differentialgeometrie (2003S-2022S)
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