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This entry is from Winter semester 2022/23 and might be obsolete. You can find a current equivalent here.

Linear Algebra I with Additional Central Tutorial
(dt. Lineare Algebra I mit Zentralübung)

Level, degree of commitment Basic module, depends on importing study program
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.
Origin Export only modules
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

Technical skills: The students

  • are able to master basic principles of linear and algebraic structures and apply them to simple mathematical questions,
  • acquire basic mathematical knowledge.

Soft skills: The students should

  • practice mathematical working methods (development of mathematical intuition and its formal justification, training of abstraction, understanding of the strict axiomatic structure of mathematical areas on a (comparatively) simple structure),
  • improve their oral communication skills in the recitation class by practicing free speech in front of an audience and during 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 2022/23. 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:

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.