This entry is from Winter semester 2018/19 and might be obsolete. You can find a current equivalent here.

# Discrete Geometry (dt. Diskrete Geometrie)

 Level, degree of commitment Advanced module, compulsory elective module 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. 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

Module imported from B.Sc. Mathematics.

It 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 M.Sc. Business Mathematics, this module can be attended in the study area Specialization Modules.