104.403 Projective geometry This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2021S, VO, 3.0h, 5.0EC

Properties

• Semester hours: 3.0
• Credits: 5.0
• Type: VO Lecture
• Format: Distance Learning

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

Lecture via zoom:

https://tuwien.zoom.us/j/97746533329

Meeting ID: 977 4653 3329

Course dates

DayTimeDateLocationDescription
Tue14:15 - 15:4502.03.2021 - 29.06.2021 online (LIVE)Lecture
Thu14:15 - 15:0004.03.2021 - 24.06.2021 online (LIVE)Lecture
Projective geometry - Single appointments
DayDateTimeLocationDescription
Tue02.03.202114:15 - 15:45 onlineLecture
Thu04.03.202114:15 - 15:00 onlineLecture
Tue09.03.202114:15 - 15:45 onlineLecture
Thu11.03.202114:15 - 15:00 onlineLecture
Tue16.03.202114:15 - 15:45 onlineLecture
Thu18.03.202114:15 - 15:00 onlineLecture
Tue23.03.202114:15 - 15:45 onlineLecture
Thu25.03.202114:15 - 15:00 onlineLecture
Tue13.04.202114:15 - 15:45 onlineLecture
Thu15.04.202114:15 - 15:00 onlineLecture
Tue20.04.202114:15 - 15:45 onlineLecture
Thu22.04.202114:15 - 15:00 onlineLecture
Tue27.04.202114:15 - 15:45 onlineLecture
Thu29.04.202114:15 - 15:00 onlineLecture
Tue04.05.202114:15 - 15:45 onlineLecture
Thu06.05.202114:15 - 15:00 onlineLecture
Tue11.05.202114:15 - 15:45 onlineLecture
Tue18.05.202114:15 - 15:45 onlineLecture
Thu20.05.202114:15 - 15:00 onlineLecture
Thu27.05.202114:15 - 15:00 onlineLecture

oral exam

Course registration

Begin End Deregistration end
01.02.2021 00:01 30.06.2021 23:59 30.06.2021 23:59

Curricula

Study CodeSemesterPrecon.Info
033 201 Technical Mathematics
407 Subject: Descriptive Geometry 2. Semester

Literature

No lecture notes are available.

German