Department Mathematik
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Webpage of the course

Differentiable Manifolds (Differential Geometry I)

Winter term 2017/18, Prof. Bernhard Leeb, Ph.D.

Announcements:

Please state clearly your name and tutorial (Swoboda 1 or 2 or Atzberger) on every exercise sheet you hand in for correction.

Some supplementary texts for the lecture.

Announcement of lecture.





Responsible for the organization of the tutorials: Dr. Jan Swoboda (office hours: after the tutorials and by appointment).

Generalities

All participants need to register electronically for their tutorials.

time Monday Tuesday Wednesday Thursday Friday
8 – 10
10 – 12 lecture
Prof. Bernhard Leeb, Ph.D.
room B005
lecture
Prof. Bernhard Leeb, Ph.D.
room B005
12 – 14 tutorial
Dr. Jan Swoboda
room B133
14 – 16 tutorial
Daniel Atzberger
room B133
16 – 18 tutorial
Dr. Jan Swoboda
room B133

Recommended textbooks

(1) A. Kosinski, Differential manifolds, Dover, 1993.

(2) J. M. Lee, Introduction to smooth manifolds, Springer, 2003.

(3) F. Warner, Foundations of differentiable manifolds and Lie groups, Springer, 1983.

(4) S. Kobayashi, K. Nomizu, Foundations of differential geometry, Wiley, 1963.

(5) K. Jänich, Vector analysis, Springer, 1992.



Tutorials

In the tutorials we discuss in smaller groups the solutions to the exercise sheets and answer your questions concerning the material presented in the lectures. You are strongly advised to work out the exercises and hand in your solutions, and to actively participate in the tutorials. The weekly exercise sheet will be put on this webpage on Mondays and is to be returned by Monday, 12 a.m. s.t. the week after. Please hand in your solution (with your name and the tutorial written on it) in the letter boxes near the library. The corrected exercise sheets will be returned one week later in the tutorials.

Registration for the tutorials

In addition to the lectures, you are recommended to take part in one of the weekly tutorials. It is required that you register electronically for the tutorials: online registration.

Exercise sheets


exercise sheet submission date
exercise sheet 01 Mo. 30.10.2017
exercise sheet 02 Mo. 06.11.2017
exercise sheet 03 Mo. 13.11.2017
exercise sheet 04 Mo. 20.11.2017
exercise sheet 05 Mo. 27.11.2017
exercise sheet 06Mo. 04.12.2017
exercise sheet 07Mo. 11.12.2017
exercise sheet 08Mo. 18.12.2017
exercise sheet 09Mo. 08.01.2018
exercise sheet 10Mo. 15.01.2018
exercise sheet 11Mo. 22.01.2018
exercise sheet 12Mo. 29.01.2018
exercise sheet 13Mo. 05.02.2018

Correction of exercise sheets

The exercise sheets are to be handed in by Monday. They will be corrected by the student tutor Daniel Atzberger and returned in the tutorials in the following week. Please state clearly on each exercise sheet your name and the tutorial you are registered for. For any questions concerning the corrections, please contact the student tutor.

Tutor e-mail office hours
Daniel Atzberger daniel.atzberger'at'gmx.de after the tutorials and by appointment


Final exam

The final exam will take place on Friday 2018/02/09, 10 a.m. c.t. The exam will take place in lecture hall BXX (surnames with initial letters A-...) and lecture hall BXX (surnames with initial letters ...-Z) in the Mathematical Institute. Please follow the subsequent guidelines.

The retry exam will take place on Friday 2018/23/03 (date to be confirmed), 10 a.m. c.t. The retry exam will take place in lecture hall BXX (surnames with initial letters A-...) and lecture hall BXX (surnames with initial letters ...-Z) in the Mathematical Institute.

Guidelines for the exam and the retry exam

- please have your student ID and an official photo ID ready.

- duration of exam: 120 minutes.

- permitted tools: only writing equipment (we will distribute paper), in particular no notes, books or any electronic devices.