Module MA4735-KP05
Geometry (GeoKP05)
Duration
1 Semester
Turnus of offer
irregularly
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2023, optional subject, mathematics
- Bachelor CLS 2023, optional subject, mathematics
- Minor in Teaching Mathematics, Master of Education 2023, optional subject, mathematics
- Minor in Teaching Mathematics, Master of Education 2017, optional subject, mathematics
- Master CLS 2016, optional subject, mathematics
- Bachelor CLS 2016, optional subject, mathematics
Classes and lectures:
- Geometry (exercise, 1 SWS)
- Geometry (lecture, 2 SWS)
Workload:
- 45 hours in-classroom work
- 85 hours private studies and exercises
- 20 hours exam preparation
Contents of teaching:
- Euclidean Geometry
- Non-Euclidean Geometries
- Introduction to Differential Geometry
Qualification-goals/Competencies:
- Mastery of basic geometric results
- Gaining an overview over different geometries and their specifics
Grading through:
- Written or oral exam as announced by the examiner
Responsible for this module:
Literature:
- Bär : Elementare Differentialgeometrie
- Berger : Geometry I, II
- Coxeter : Introduction to Geometry
- Knörrer : Geometrie
- Kumaresan, Santhanam : An Expedition to Geometry
- Nikulin, Shafarevich : Geometries and Groups
- McCleary : Geometry from a Differentiable Viewpoint
- Rees : Notes on Geometry
- Sossinsky : Geometries
- Stahl : A Gateway to Modern Geometry, The Poincare Half-Plane
Language:
- offered only in German
Notes:
Admission requirements for taking the module:- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester
Module exam(s):
- MA4735-L1: Geometry, oral exam, 30 min, 100 % of module grade
Last Updated:
22.02.2022