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CS 180 — Basic Linear Algebra
(dt. Grundlagen der linearen Algebra)

Level, degree of commitment Basic module, compulsory elective 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: 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. Computer Science.
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

Students will

  • understand the basic principles of linear algebra, especially the importance of linear structures and algorithms,
  • can recognize and describe cross connections to their own discipline,
  • know basic mathematical knowledge for further studies,
  • can follow mathematical working methods (develop mathematical intuition and its formal justification, understand the strict axiomatic structure of mathematical areas),
  • can discuss content from linear algebra in a structured way in a group.

Prerequisites

None.


Applicability

Module imported from B.Sc. Computer Science.

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

  • B.Sc. Computer Science
  • B.Sc. Business Informatics
  • LAaG Computer Science
  • BA Minor Mathematics
  • BA Minor Computer Science

When studying LAaG Computer Science, this module can be attended in the study area Basic Modules.


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 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.