Universität Wien

250096 VO Analysis on manifolds (2022S)

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

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.03. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 07.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 08.03. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 14.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 15.03. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 21.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 22.03. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 28.03. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 29.03. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 04.04. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 05.04. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 25.04. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 26.04. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 02.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 03.05. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 09.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 10.05. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 16.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 17.05. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 23.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 24.05. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 30.05. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 31.05. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 13.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 14.06. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 20.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 21.06. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 27.06. 11:30 - 13:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 28.06. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The aim of this course is to provide the fundamental notions and results of modern global analysis in a concise and rigorous way. Topics covered in the course are, among others: manifolds, vector bundles, flows, products and submanifolds, tensors and differential forms, integration, and symplectic manifolds. The material included in the course was chosen with a view to its applicability in the many fields of mathematics and mathematical physics where the theory of manifolds forms the underpinning and common language on which everything else depends.

Assessment and permitted materials

Oral exam.

Minimum requirements and assessment criteria

The prerequisites to follow the course are a firm background in real analysis linear algebra along with basic set theoretic topology, and ordinary differential equations. For a successful exam, a thorough understanding of the definitions, results, and proofs has to be shown in detailed answers to questions.

Examination topics

As provided in the lecture notes.

Reading list

https://www.mat.univie.ac.at/~mike/teaching/ss22/amf.pdf

Association in the course directory

MGED

Last modified: Tu 19.12.2023 00:17