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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 BA Minor Mathematics, this module must be completed in the study area Compulsory Modules.
The module is assigned to variant A of the BSc minor program 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
- 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.