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Numerical Analysis
(dt. Numerik (Numerische Basisverfahren))

Level, degree of commitment Advanced 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 or 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. Christian Rieger

Contents

Fundamentals of computer arithmetic and measures for error control. Basic methods for the solution of linear and nonlinear systems of equations, in particular also compensation problems. Methods for the representation and approximation of functions.


Qualification Goals

Students

  • Have developed understanding of the basic principles of numerics and confidently master basic numerical methods for important mathematical problems in theory and practice,
  • Have developed insight into the practical solution of mathematical problems and sensitivity to special numerical problems such as error-prone arithmetic and error control,
  • Are able to use numerical procedures competently. In particular, are able to translate numerical procedures into efficient software and to select existing standard software appropriately,
  • recognize the many cross-connections to other areas, such as linear algebra, analysis, geometry, etc. and have acquired basic knowledge for more in-depth numerics modules,
  • have practiced mathematical working methods (developing mathematical intuition and its formal justification, training of the ability to abstract, reasoning),
  • have improved their oral communication skills in exercises by practicing free speech in front of an audience and in discussion.

Prerequisites

None. The competences taught in the following modules are recommended: either Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis.


Applicability

Module imported from B.Sc. Mathematics.

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

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

When studying BA Minor Mathematics, this module can be attended in the study area Compulsory Elective Modules.

The module is assigned to variants A and B of the BSc minor program in Mathematics.


Recommended Reading

  • Stoer/Bulirsch: Numerische Mathematik I, Springer Verlag 2007;
  • Deuflhard/Hohmann: Numerische Mathematik I, de Gruyter 2002;
  • Hanke-Bourgeois, M.: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, Teubner, 2002.



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 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • 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.