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This entry is from Winter semester 2020/21 and might be obsolete. No current equivalent could be found.
Discrete Mathematics
(dt. Diskrete Mathematik)
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 |
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, irregular |
Person in charge of the module's outline | Prof. Dr. Volkmar Welker |
Contents
Introduction to elementary objects of discrete mathematics, such as permutations, partitions, graphs. Treatment of basic methods of enumeration. Generating functions and solving recursions. Elementary terms of graph theory. Application to the complexity analysis of algorithms and questions of statistical physics.
Qualification Goals
Students can
- understand basic principles of elementary structures of discrete mathematics,
- recognise that discrete structures can be found into other areas of mathematics and are profitably applied there.
Students practice
- mathematical methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof methods),
- in the recitation classes, oral communication skills through discussion and free speech in front of an audience.
Prerequisites
None. The competences taught in the following modules are recommended: either Foundations of Mathematics and 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. Computer Science
- B.Sc. Mathematics
- M.Sc. Computer Science
- M.Sc. Mathematics
- LAaG Mathematics
When studying B.Sc. Mathematics, this module can be attended in the study area Compulsory Elective Modules in Mathematics.
The module can also be used in other study programs (export module).
The module is assigned to Pure Mathematics. Further information on eligibility can be found in the description of the study area.
Recommended Reading
- Aigner, Martin: Diskrete Mathematik, Vieweg. 2004
- Matousek, Jiri: Diskrete Mathematik, Springer 2002
Please note:
This page describes a module according to the latest valid module guide in Winter semester 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:
- 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 (no corresponding element)
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.