After successful completion of the course, students are able to use the knowledge and to apply the methods specified in the curriculum:
They are familiar with abstractions of geometric notions and know various geometries and relations between them. Specifically they know the fundamentals and historical and scientific significance of the hyperbolic geometry.
Axiomatic method, Euclid's axiom of parallels and development of the hyperbolic non-euclidean geometry; models of hyperbolic non-euclidean geometry; other non-euclidean geometries (e.g., elliptic geometry, Möbius geometry, geometry of cycles).
Exercise.
The assessment of the exercise consists of the following components:-Assessment of homework solutions (board and/or submission)-Assessment of a presentation on a topic from the lecture.Details will be announced in the TUWEL course.