Universität Wien

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