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401-2534-00L 6 Credits BSC D-MATH

Geometry

Geometrie

Lecturers & Examiners: Prof. Dr. Lorenz Halbeisen
VVZ CR n/a

Last Updated: 2026-06-03 00:38:23

Abstract

This course gives an introduction into various geometrical topics, such as euclidean and projective geometry, as well as geometrical properties of special curves like conics and cubics.

Objective

The aim of the lecture is to get an insight into beautiful geometrical results of the last 2000 years and at the same time to gain basics and intuition for further geometry courses, such as algebraic geometry.

Content

Foundations of Euclidean geometry; cross ratios; projective geometry; the theorems of Menelaos, Pappus, Desargues, Ceva, Pascal, and Brianchon; geometric properties of conic sections, and cubic and elliptic curves.

Resources

Literature

- H.S.M. Coxeter: Projective Geometry, Springer Verlag (2003) Robert Bix: Conics and Cubics, Undergraduate Texts in Mathematics, Springer Verlag (2006) Juergen Richter-Gebert: Perspectives on Projective Geometry, Springer Verlag (2011) H. Wieleitner: Algebraische Kurven II, Sammlung Goeschen 436, Walter de Gruyter (1919)

Learning Materials (Links)

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 20 minutes

Course Components

Type Title Time & Place Hours
lecture Geometrie
  • Tue 11:15-12:00 (HG D 7.2)
  • Thu 14:15-16:00 (HG G 5)
3 h weekly
exercise Geometrie
Groups are selected in myStudies. Mo 14-16 oder Mo 17-19
  • Mon 14:15-16:00 (HG E 5)
  • Mon 17:15-19:00 (HG G 3)
2 h weekly

Offered In