250077 VO Differential geometry 1 (2012S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Michael Kunzinger

Classes (iCal) - next class is marked with N

Monday 05.03. 13:05 - 14:45 Seminarraum
Thursday 08.03. 12:05 - 13:00 Seminarraum
Thursday 15.03. 12:05 - 13:00 Seminarraum
Monday 19.03. 13:05 - 14:45 Seminarraum
Thursday 22.03. 12:05 - 13:00 Seminarraum
Monday 26.03. 13:05 - 14:45 Seminarraum
Thursday 29.03. 12:05 - 13:00 Seminarraum
Monday 16.04. 13:05 - 14:45 Seminarraum
Thursday 19.04. 12:05 - 13:00 Seminarraum
Monday 23.04. 13:05 - 14:45 Seminarraum
Thursday 26.04. 12:05 - 13:00 Seminarraum
Monday 30.04. 13:05 - 14:45 Seminarraum
Thursday 03.05. 12:05 - 13:00 Seminarraum
Monday 07.05. 13:05 - 14:45 Seminarraum
Thursday 10.05. 12:05 - 13:00 Seminarraum
Monday 14.05. 13:05 - 14:45 Seminarraum
Monday 21.05. 13:05 - 14:45 Seminarraum
Thursday 24.05. 12:05 - 13:00 Seminarraum
Thursday 31.05. 12:05 - 13:00 Seminarraum
Monday 04.06. 13:05 - 14:45 Seminarraum
Monday 11.06. 13:05 - 14:45 Seminarraum
Thursday 14.06. 12:05 - 13:00 Seminarraum
Monday 18.06. 13:05 - 14:45 Seminarraum
Thursday 21.06. 12:05 - 13:00 Seminarraum
Monday 25.06. 13:05 - 14:45 Seminarraum
Thursday 28.06. 12:05 - 13:00 Seminarraum

Information

Aims, contents and method of the course

*) Curves
*) Differentiable Manifolds:
Submanifolds of R^n
Abstract Manifolds
Topological Properties
Differentiation, Tangent space
Vector bundles, tangent bundle, vector fields
Tensors
Differential forms
Integration, Stokes' Theorem
*) Hypersurfaces

Assessment and permitted materials

Oral Exam.

Minimum requirements and assessment criteria

This lecture provides an introduction both to classical differential geometry of curves and (hyper)surfaces and to the analysis on manifolds.

Examination topics

Reading list

Skriptum:
http://www.mat.univie.ac.at/~mike/teaching/ss08/dg.pdf

Association in the course directory

MGED

Last modified: We 11.11.2020 00:27