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Linear Algebra I
(dt. Lineare Algebra I)

Level, degree of commitment Basic module, required module
Forms of teaching and learning,
workload		 Lecture (4 SWS), recitation class (2 SWS), Werkstatt (2 SWS),
270 hours (120 h attendance, 150 h private study)
Credit points,
formal requirements		 9 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written examination
Language,
Grading		 German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Mathematics.
Duration,
frequency		 One semester,
each winter semester
Person in charge of the module's outline Prof. Dr. István Heckenberger, Prof. Dr. Sönke Rollenske, Prof. Dr. Volkmar Welker

Contents

Linear algebra:

  • Vector spaces and linear maps
  • Matrices and linear systems of equations
  • Determinants and eigenvalues
  • Scalar product, orthogonality
  • geometrical aspects of linear algebra

Qualification Goals

Students

  • master basic principles of linear and algebraic structures and are able to apply them to simple mathematical problems,
  • are able to use the basic knowledge they have acquired as a basis for their further studies and to link new content and concepts to it....
  • have practiced mathematical ways of working (developing mathematical intuition and its formal justification, training the ability to abstract, understanding the strict axiomatic structure of mathematical areas on a (comparatively) simple structure),
  • Can speak freely about scientific content, both in front of an audience and in a discussion....

Prerequisites

None. The competences taught in the following module are recommended: Foundations of Mathematics.


Applicability

Module imported from B.Sc. Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Data Science
  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • BA Minor Mathematics

When studying B.Sc. Data Science, this module must be completed in the study area Basic and Continuing Modules in Mathematics.


Recommended Reading

  • Jänich, K.: Lineare Algebra, Springer, Berlin-Heidelberg 1996
  • Brieskorn, E.: Lineare Algebra und Analytische Geometrie I und II, Vieweg, Braunschweig-Wiesbaden 1983/1985
  • Bröcker, T.: Lineare Algebra und Analytische Geometrie, Birkhäuser, Basel-Boston-Berlin 2003
  • Fischer, G.: Lineare Algebra, Vieweg, Braunschweig-Wiesbaden 1995



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

  • Winter 2016/17 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23 (no corresponding element)
  • Winter 2023/24

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.