Technische Universität Ilmenau

Geometry - Modultafeln of TU Ilmenau

The module lists provide information on the degree programmes offered by the TU Ilmenau.

Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the electronic university catalogue.

Information and guidance on the maintenance of module descriptions by the module officers are provided at Module maintenance.

Please send information on missing or incorrect module descriptions directly to modulkatalog@tu-ilmenau.de.

module properties module number 200456 - common information
module number200456
departmentDepartment of Mathematics and Natural Sciences
ID of group2412 (Probability Theory and Mathematical Statistics)
module leaderProf. Dr. Thomas Hotz
languageDeutsch
term Sommersemester
previous knowledge and experience

Analysis, Lineare Algebra, Algebra

learning outcome

Die Studierenden haben einen Überblick über klassische und moderne Geometrien und können diese beschreiben, mit ihnen umgehen und sie in Beziehung setzen.

content

Euklidische Geometrie inkl. Axiomatik und Konstruktionsproblemen, nichteuklidische Geometrie, projektive Geometrie, metrische Geometrie

media of instruction and technical requirements for education and examination in case of online participation

Tafel, Skript, Aufgaben, Software, geometrische Objekte

literature / references

Hartshorne, R. (2000). Geometry: Euclid and beyond. Springer, New York, NY.

Klein, Felix (1908). Elementarmathematik vom höheren Standpunkte aus; Teil I: Arithmetik, Algebra, Analysis. B. G. Teubner, Leipzig.

Richter-Gebert, J. (2011). Perspectives on Projective Geometry. Springer, Berlin.

Benz, W. (2012). Classical Geometries in Modern Contexts. 3. Aufl.,  Birkhäuser, Basel.

Scriba, C. J., Schreiber, P. (2010). 5000 Jahre Geometrie. 3. Aufl., Springer, Heidelberg.

evaluation of teaching
Details reference subject
module nameGeometry
examination number2400808
credit points5
SWS3 (2 V, 1 Ü, 0 P)
on-campus program (h)33.75
self-study (h)116.25
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Informatik 2013, Master Informatik 2021
module nameGeometry
examination number2400808
credit points5
on-campus program (h)45
self-study (h)105
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Informatik 2021, Bachelor Mathematik 2021
module nameGeometry
examination number2400808
credit points5
on-campus program (h)34
self-study (h)116
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants