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German original

Basic Linear Algebra
(dt. Grundlagen der linearen Algebra)

Level, degree of commitment in original study programme 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: 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 study course B.Sc. Computer Sciences.
Original study programme B.Sc. Informatik / Mathematik Pflichtmodule
Duration,
frequency
One semester,
each winter semester
Person in charge of the module's outline Prof. Dr. István Heckenberger

Contents

Basics of the mathematical language

  • Basics of logic and sets
  • Proof methods
  • Maps, injectivity and surjectivity
  • Number spaces, complex numbers
  • Fields
  • Elementary arithmetical techniques, polynomial division

Vector spaces and linear maps

  • Basis, dimension
  • Matrices, systems of linear equations
  • Solving algorithms, determinants
  • Representation of linear maps, change of basis
  • Scalar product, orthogonality
  • Orthogonal projections, rotations and reflections
  • Eigenvalues, diagonalizability

Qualification Goals

The students shall

  • understand the basic principles of linear algebra, in particular the meaning of linear structures and algorithms,
  • be able to recognize and describe cross-connections to their own discipline,
  • acquire the basic mathematical knowledge for further studies,
  • practice mathematical working methods (developing mathematical intuition and its formal foundation, understanding the strict axiomatic structure of mathematical fields),
  • train their oral communication skills in the exercises by practicing free speech in front of an audience and in discussion.

Prerequisites

None.


Recommended Reading

  • Dörfler,W. ; Peschek,W. : Einführung in die Mathematik für Informatiker, Hanser; Pareigis,B. : Lineare Algebra für Informatiker, Springer;
  • Jänich, K. : Lineare Algebra, Springer



Please note:

This page describes a module according to the latest valid module guide in Wintersemester 2020/21. 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.