This entry is from Winter semester 2018/19 and might be obsolete. No current equivalent could be found.

# Combinatorics (Small Specialization Module) (dt. Kombinatorik (kleines Vertiefungsmodul))

 Level, degree of commitment Specialization module, depends on importing study program Forms of teaching and learning,workload Lecture (3 SWS), recitation class (1 SWS) or lecture (2 SWS), seminar (2 SWS), 180 hours (60 h attendance, 120 h private study) Credit points,formal requirements 6 CP Course requirement(s): Written or oral examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises or presentation with written assignment. Language,Grading German,The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics. Subject, Origin Mathematics, M.Sc. Mathematics Duration,frequency One semester, irregular Person in charge of the module's outline Prof. Dr. Volkmar Welker

## Contents

Special combinatorial structures and their mathematical context are investigated. Specialized methods for the investigation of structures are developed and applied. The possible conclusions about the mathematical context in which the structures occur are worked out.

## Qualification Goals

Students

• are able to analyze specific combinatorial structures,
• apply methods tailored to special combinatorial structures,
• to recognize and investigate combinatorial structures in the context of other mathematical disciplines.

They deepen

• the practice of mathematical methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof methods),
• in the recitation classes, their oral communication skills through discussion and free speech in front of an audience.

## Prerequisites

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen und im Aufbaumodul Diskrete Mathematik vermittelt werden, sowie ggf. je nach Schwerpunktsetzung eines der Aufbaumodule Elementare Stochastik oder Algebra.

• A. Björner, F. Brenti, Combinatorics of Coxeter groups, Springer, 2005.
• B. Bollobas, Random graphs, Cambridge, 2001.
• M. de Longueville, A course in topological combinatorics, Springer, 2012.