111.009 Line 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.

2021S, VO, 2.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to handle torsal and
developable ruled surfaces in an analytic and constructive way and are able to determine
their invariants. Students know the principal properties of line congruences,
in detail their envelopes and their developable surfaces.
Projective Geometry will help to get a deeper understanding of the structure of the
set of lines in 3-space.

Subject of course

The set of lines in 3-space is 4-dimensional. The first two parts of the lecture
deal with Euclidean geometry of
*) ruled surfaces (1-dim sets of lines) and
*) line congruences (2-dim sets of lines).

A third part shall present projective geometry of the set of lines in 3-space.
The point model of this set is a quadric in 5-space that is used for many investigations.

Teaching methods

Lecture with examplpes.

Mode of examination

Oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Tue09:00 - 10:3002.03.2021 - 29.06.2021 Online -- Zoom Meeting siehe Tuwel Kurs (LIVE).
Line Geometry - Single appointments
DayDateTimeLocationDescription
Tue02.03.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue09.03.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue16.03.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue23.03.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue13.04.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue20.04.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue27.04.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue04.05.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue11.05.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue18.05.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue01.06.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue08.06.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue15.06.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue22.06.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.
Tue29.06.202109:00 - 10:30 Online -- Zoom Meeting siehe Tuwel Kurs.

Examination modalities

Oral exam.

Course registration

Begin End Deregistration end
18.02.2021 08:00 05.03.2021 08:00 08.03.2021 08:00

Curricula

Literature

Computational Line Geometry by H. Pottmann, J. Wallner Springer, 2001

Liniengeometrie, J. Hoschek, BI-Taschenbuch, Zürich 1971.

Accompanying courses

Language

German