
Geometry Group
Members
Projects
Lehre
Verlaufspläne:
Bachelor
Diplom
Vergangene Semester
Seminare
Images,
Videos, and Games
Virtual
Math Labs
Software
Contact



Geometry I
(Fall 2018)


Timetable
Lectures 
Boris Springborn

Mon 
1416 
MA 141 
Wed 
1012 
MA 141 
Tutorials 
Hanka Kouřimská

Wed 
8.3010 
MA 648 
Wed 
1214 
MA 143 
Wed 
1416 
MA 744 
Thur 
8.3010 
MA 744 
Information about the second exam
The exam is corrected and the results can be found online in QUISPOS. If for some reason you cannot see your grade, send an email to Hanka :)
The exam overview (Einsicht) will take place on Thursday, 4 Apr 2019, at 1516 in Room MA 141. Please be on time and bring your student ID with you!
Exam preparation
The following exercises from the homework sheets are a good preparation:
 Sheet 1, Exercise 4
 Sheet 2, Exercise 1 and 3
 Sheet 3, Exercise 2 and 4
 Sheet 4, Exercise 2 and 3
 Sheet 5, Exercise 1,2 and 4
 Sheet 6, Exercise 1 and 3
 Sheet 7, Exercise 2
 Sheet 8, Exercise 1, 3 and 4
 Sheet 9, Exercise 1, 2 and 3
 Sheet 10, Exercise 1
 Sheet 11, Exercise 4
 Sheet 12, Exercise 1, 3 and 4
 Sheet 13, Exercise 2, 3 and 4
Trial exam (Probeklausur) can be found here: Probeklausur
The solutions to the Probeklausur can be found here: Probeklausur solutions. Please note that there might be mistakes (in particular regarding calculations!)
News
 [22.2.]

The solutions of the trial exam are online!
 [18.2.]

The trial exam is online!
 [15.11.]

As a compensation of the cancellation of this weeks tutorials Hanka has summed up their contents into a 3page pdf, available here. The summary contains a few simple questions and should help you with the homework due next week. Happy reading! (and many appologies in advance for the possible typos :))
 [21.8.]

This is a BMS course and will be held in English. One of the tutorials will be held in German, and the
homework sheets can be handed in in German as well.
Homework
 Sheet 1, due October 31
 Sheet 2, due November 7
 Sheet 3, due November 14
 Sheet 4, due November 21
 Sheet 5, due November 28
 Sheet 6, due December 5
 Sheet 7, due December 12
 Sheet 8, due December 19
 Sheet 9, due January 9
 Sheet 10, due January 16
 Sheet 11, due January 23
 Sheet 12, due January 30
 Sheet 13, due February 6
Lecture Notes
Here is a growing set of lecture notes. Updated versions will be posted at irregular intervals.
Schein  The homework certificate
 In order to obtain the homework certificate you must collect at least 60%
of the points from the homework sheets.
 You are to hand in the homework sheets in groups of three on Wednesday
before the lecture. Your handins have to be STAPLED TOGETHER and
contain names and matriculation numbers of all members of the group. We
strongly reccommend you to hand in the homework in readable writing, since
unreadable writing will not be corrected ;)
 Your work should be ordered in ascending order of the exercises!
 The handin date will be specified on each homework sheet.
You can also hand the homework in earlier in Hanka's office.
 You can use any language you like writing up the homework sheets, provided that Hanka understands it :)
Exam
This course was examined by a 90 minute written exam (Klausur) on Monday, 25 Feb 2019, at 14:00 in Room MA 001.
The second examination date (Nachklausur) is Monday, 1 Apr 2019, at 15:00 in Room MA 001.
Literature
 Springborn, old (but partially updated) lecture notes from the 2007 version of this course at TU Berlin
 Euclid, Elements:
online with java or
Greek beside English text
 Prasolov & Tikhomirov, Geometry, TMM 200, Amer. Math. Soc.
 Hitchin, lecture notes on Projective Geometry: Chapters
1&2,
3,
4,
5
 Fuchs & Tabachnikov,
Mathematical Omnibus
 Klein, Vorlesungen über höhere Geometrie, GMW 22, Springer
 Blaschke, Projektive Geometrie, Birkhäuser
 Berger, Geometry I & II, Springer
 Audin, Geometry, Springer
 Coxeter, NonEuclidean Geometry, Math. Assoc. Amer.
 Cannon, Floyd, Kenyon & Parry,
Hyperbolic Geometry, from Flavors of Geometry, MSRI
 Martin, The Foundations of Geometry and the NonEuclidean Plane, UTM, Springer
 Henderson, Experiencing Geometry, Prentice Hall
Consultation hours
