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Linear Algebra I with Additional Central Tutorial
(dt. Lineare Algebra I mit Zentralübung)
Level, degree of commitment | Basic module, compulsory elective module |
Forms of teaching and learning, workload |
Lecture (4 SWS), recitation class (4 SWS), 360 hours (120 h attendance, 240 h private study) |
Credit points, formal requirements |
12 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
- Euclidean vector spaces and selfadjoint endomorphisms
- geometrical aspects of linear algebra
In the central recitation class, basic structures from linear algebra are practiced in depth (elementary set theory, natural numbers and integers, mathematical induction, rational numbers, maps, functions, relations, groups, fields).
Qualification Goals
Students will
- have mastered basic principles of linear and algebraic structures and can apply them to simple mathematical problems,
- have acquired basic mathematical knowledge.
- have practiced mathematical working methods (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),
- have improved their oral communication skills in the exercises by practicing free speech in front of an audience and in discussion.
Prerequisites
None.
Applicability
This module is an export-only module, and can as such only be used in other study programs, not in B.Sc. 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
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- 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.