Main content
Numerical Analysis
(dt. Numerik (Numerische Basisverfahren))
Level, degree of commitment | Advanced module, depends on importing study program |
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. |
Origin | 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
The module 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 B.Sc. Mathematics, this module must be completed in the study area Continuing Modules in Mathematics (Core Subjects).
The module can also be used in other study programs (export module).
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
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- 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.