Universität Wien
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250065 VO Linear algebra and geometry 1 (2015S)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 02.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 03.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 09.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 10.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 16.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 17.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 23.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 24.03. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 13.04. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 14.04. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 20.04. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 21.04. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 27.04. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 28.04. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 04.05. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 05.05. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 11.05. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 12.05. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 18.05. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 19.05. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 01.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 02.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 08.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 09.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 15.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 16.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 22.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 23.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 29.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 30.06. 10:15 - 11:45 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

This course builds on my course from fall term 2014/15. We continue the discussion of fundamental concepts of linear Algebra. In particular, the following topics will be discussed:
quotient spaces, dual spaces and duality, determinants, the characteristic polynomial of a linear map, eigenvalues and diagonalizability, triangulation of linear maps, norms, inner products, euclidean and unitary vector spaces, orthogonality, adjoints, special linear maps, euclidean geometry.

Assessment and permitted materials

written or oral exam after the end of the course

Minimum requirements and assessment criteria

Students develop in-depth knowledge of the fundamental notions of linear algebra, both in the abstract algebraic version and in the concrete realisation. They know various methods for computing determinants and characteristic polynomials and can determine whether linear maps are diagonalizable. They can use inner products to solve algebraic and geometric problems. They know the basic theorems and techniques of proofs of linear algebra and are able to apply them in different situations.

Examination topics

lecture course

Reading list

Lecture notes will be available at http://www.mat.univie.ac.at/~cap/lectnotes.html .

Association in the course directory

LAG

Last modified: Mo 07.09.2020 15:40