Technische Universität Ilmenau

Geometry - Modultafeln of TU Ilmenau

The Modultafeln have a pure informational character. If you find information that seems to be incorrect, please contact modulkatalog@tu-ilmenau.de.

The legally binding information can be found in the corresponding Studienplan and Modulhandbuch, which are served on the pages of the course offers.
Information on the room and time of planned courses can be found in the e-calendar of events.

module properties module number 200456 - common information
module number200456
departmentDepartment of Mathematics and Natural Sciences
ID of group2412 (Group for 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

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
examoral examination performance, 30 minutes
details of the certificate
Signup details for alternative examinations
maximum number of participants