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104.403 Projective geometry
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2025S, VO, 3.0h, 5.0EC

Properties

  • Semester hours: 3.0
  • Credits: 5.0
  • Type: VO Lecture
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to describe geometric objects and properties with homogeneous coordinates in the vector space models of the projective plane and projective space. They are capable of proving incidence geometric theorems and know how to apply those to obtain further results.

Subject of course

real projective plane; real projective space; homogeneous coordinates; incidence structure; duality; theorems of Desargues, Pappos, Pascal, Brianchon; projective transformations; perspectivities; projectivities; cross-ratio; quadrics; pol/polar hyperplane; classification of quadrics; pencil of qudrics; conics; reguli; complex extension

Teaching methods

Lecture with illustrating examples

Mode of examination

Oral

Additional information

Tuesdays at 10:30 - 11:15 am and Wednesdays 16:30 - 18:00 pm.

Lecturers

Institute

Examination modalities

oral exam

Course registration

Begin End Deregistration end
29.11.2024 23:59 26.04.2025 23:59 26.06.2025 23:59

Curricula

Study CodeObligationSemesterPrecon.Info
033 201 Technical Mathematics Not specified
407 Subject: Descriptive Geometry Mandatory2. Semester
860 GW Optional Courses - Technical Mathematics Not specified
UF_ DG UF Darstellende Geometrie Mandatory2. Semester

Literature

No lecture notes are available.

Accompanying courses

Language

German