This entry is from Summer semester 2018 and might be obsolete. You can find a current equivalent here.

# Discrete Geometry (dt. Diskrete Geometrie)

 Level, degree of commitment Advanced 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. 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, irregular Person in charge of the module's outline Prof. Dr. Volkmar Welker

## Contents

Basic sets of convex geometry (e.g. Helly, Radon, separation sets). Simple transformations of convex sets (e.g. polarity, duality). Definition and basic properties of polytopes. Interrelationships with optimization. Side structure of polytopes.

## Qualification Goals

Students

• understand basic principles of discrete geometry,
• are able to capture phenomena of geometry in spaces of any dimension by means of objects of discrete geometry,
• recognize the geometric backgrounds of linear and convex optimization.

The students practice

• mathematical methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof methods),
• in the recitation class, 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 vermittelt werden.

## 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

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).

Die Wahlmöglichkeit des Moduls ist dadurch beschränkt, dass es der Reinen Mathematics zugeordnet ist.

• Depending on the course.

This page describes a module according to the latest valid module guide in Summer semester 2018. 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.