Universität Wien

250029 VO Analysis 3 (2024S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 05.03. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.03. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.03. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.03. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 20.03. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 10.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 17.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 24.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.04. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.05. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 05.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 12.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 26.06. 09:45 - 11:15 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course content is based on the compulsory modules from the first three semesters, in particular solid knowledge in analysis and integration (one and several variables) and in linear algebra is a prerequisite. The focus will be on topological and geometric aspects of maps and subsets in the context of R^n. We will follow the lecture notes "Analysis 3" by Andreas Cap from summer semester 2023 and split the course material into these chapters: Review of and remarks on topological notions; curves; submanifolds of R^n and differential forms; integration on submanifolds and theorem of Stokes.

Assessment and permitted materials

Oral exam, duration max. 45 minutes.

Minimum requirements and assessment criteria

Understanding of the definitions, results, and proofs has to be shown in detailed answers to exam questions.

Examination topics

All contents of the lecture course.

Reading list

I. Agricola und T. Friedrich: Vektoranalysis. Differentialformen in Analysis, Geometrie und Physik (Vieweg+Teubner, 2. Auflage 2010)
H. Amann und J. Escher: Analysis III (Birkhäuser, 2. Auflage 2008)
M. Barner und F. Flohr: Analysis II (de Gruyter, 3. Auflage 1995)
A. Cap: Analysis 3 (Vorlesungsskriptum Universität Wien, Sommersemester 2023)
O. Forster: Analysis 3 (Springer, 8. Auflage 2017)
K. Jänich: Vektoranalysis (Springer, 3. Auflage 2001)
R. Walter: Analysis 3 (de Gruyter 2009)

Association in the course directory

AN3

Last modified: Mo 18.11.2024 09:46