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Linear Algebra II
(dt. Lineare Algebra II)

Level, degree of commitment Basic module, required module
Forms of teaching and learning,
workload		 Lecture (4 SWS), recitation class (2 SWS),
270 hours (90 h attendance, 180 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: Oral examination (individual 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 summer semester
Person in charge of the module's outline Prof. Dr. István Heckenberger, Prof. Dr. Sönke Rollenske, Prof. Dr. Volkmar Welker

Contents

Linear algebra:

  • Euclidean and unitary vector spaces
  • normal form theory
  • multilinear Algebra

Qualification Goals

Students will

  • master advanced principles of linear and multilinear structures and can apply them to simple mathematical problems,
  • are able to use the acquired basic knowledge as a basis for their further studies and to link new content and concepts to it.
  • 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),
  • 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: either Linear Algebra I.


Applicability

Module imported from B.Sc. Mathematics.

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

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

When studying B.Sc. Business Mathematics, this module must be completed in the study area Basic 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:

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.