Universität Wien
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250024 VO Linear algebra and geometry 2 (2014W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 07.10. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.10. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.10. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.10. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.11. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.11. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.11. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.11. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 02.12. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.12. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.12. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.01. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 20.01. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 27.01. 17:00 - 18:30 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The lecture course is a continuation of the lecture course "Linerare Algebra und Geometrie 1" which was held in the summer term. We plan to cover the following topics.

1. Multilinear Algebra. The cases of 1-linear maps (=linear forms) and 2-linear mappings (=bilinear forms)
have already been dealt with and we now want to consider more general n-linear maps. In particular we want to study the exterior algebra which is important in many applications.

2. Geometry in euclidian spaces and the orthogonal group. The orthogonal group consists of all mappings which preserve the metric. We want to look closer at its elements and its structure. If time opermits we will
also briefly look at the symplectic groups.

3. Projective Geometry. If time permits we will briefly introduce the beginnings of projective geometry.

Assessment and permitted materials

Written Exam

Minimum requirements and assessment criteria

Extension of knowledge of basic facts of linear algebra; familiarity with the abstract or structural approach in mathematics

Examination topics

Reading list

Compare literature for the lecture course "Linerare Algebra und Geometrie 1"

Association in the course directory

LAG

Last modified: Mo 07.09.2020 15:40