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German original

Discrete Mathematics
(dt. Diskrete Mathematik)

Level, degree of commitment in original study programme Intermediate 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: 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 study course B.Sc. Mathematics.
Original study programme B.Sc. Mathematik / Mathematik Wahlpflichtmodule
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.


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 Wintersemester 2019/20. 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.