Universität Wien

250013 VO Linear Algebra 1 (2023W)

4.00 ECTS (3.00 SWS), SPL 25 - Mathematik
ON-SITE
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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 20.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 21.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 22.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 27.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 28.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 29.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 04.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 05.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 06.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 11.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 12.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 13.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 08.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 09.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 10.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 15.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 16.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 17.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 22.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 23.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 24.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 29.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 30.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Wednesday 31.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 15.03. 08:00 - 09:00 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock

Information

Aims, contents and method of the course

Linear Algebra is an indispensable part of any educational program in Mathematics and other STEM subjects. This first-semester course of lectures offers an introduction to the subject, covering such fundamental topics of Linear Algebra as matrices, matrix rank, systems of linear algebraic equations, vector spaces, linear maps between vector spaces, bases, dimension. The course builds on top of the lecture course "STEOP: Introduction to the mathematical method". After introducing fields, the space F^n with n integral (for an arbitrary field F) and matrices as linear mappings between such spaces, the course focuses on Gaussian elimination and its interpretation in the form of the pivoted LU decomposition. The pivoted LU decomposition is developed and used as the main tool for proving basic facts regarding F^n and linear maps from F^n to F^m for integral m,n. The results are then carried over to general finite-dimensional vector spaces and to linear mappings between such spaces.

Assessment and permitted materials

Written or oral examination following the course. The examination is closed-book: no aids are allowed.

Minimum requirements and assessment criteria

Students are expected to develop a solid understanding of the key notions and techniques of Linear Algebra, both in abstract formulations and in specific settings or examples. Those include, in particular, finding a nonredundant parametrization for the set of solutions of a system of linear algebraic equations, determining whether a given matrix is invertible and inverting it when it is so, proving, connecting and applying in various settings the other theoretical results of the course.

Examination topics

The scope of the examination coincides with that of the lecture course, including every definition, proposition, lemma, theorem, remark, example and proof presented in the course. In addition to the knowledge of the theoretical content of the course, the ability to use it in specific settings and in specific problems similar to those covered in the associated proseminar course will be tested.

Reading list

A list of the suggested literature will be provided at the first lecture.

Association in the course directory

EHM

Last modified: Fr 27.09.2024 12:46