General Information

News
Since this lecture will be held in German, the English homepage will not be updated.
Lecturer
Prof. Dr. Jörg Eschmeier
Assistant
Sebastian Toth
Creditpoints
9 ECTS
First lecture
Wednesday, October 16, 2019, 8.30 a.m.
Weekly lectures
Monday 10.15 a.m. - 11.55 a.m. and Wednesday, 8.20 a.m. - 10.00 a.m. , Lecture Hall II, E 2.5
Content
Basics of Measure Theory, Lebesgue integral, Convergence theorems, Fubini's theorem, Substituion formula, L^p-Spaces, Fourier transform, Submanifolds in R^n, Differential forms, Gauß Divergence theorem and Stokes' theorem, Hilbert spaces.
Pre­re­quisites
Analysis I and II.

Exams

Criteria
Passing of the first or second exam.

Please note that the first and the second exam constitute separate attempts to pass the exam.
Admission requirements
To be admitted to the exam, you need 50 % of the points achievable in the exercise sheets.
Type of exam
Written exam
Examination dates
  • Thuesday, 18.02.2020, 9-12, Lecture Halls II+III, E 2.5
  • Thursday, 17.09.2020, 9-12, Lecture Hall I, E 2.5
Registration for the exam
Until one week before the corresponding exam via LSF.

Exercises

Assignment to the exercise groups
You will find the assignment to the exercise groups on the German homepage.
Tutorials
There will be two exercise groups. In the exercise groups, solutions of the homework problems will be presented. You can also ask questions concerning the contents of the lecture as well as past and upcoming exercise sheets.
Consultation hours
In the consultation hours you can ask questions about the current exercise sheet, previous exercise sheets or the contents of the lecture.

Material

Lecture notes
You will find the (German) Lecture notes on the German hompage.
Exercise sheets
You will find the (German) exercise sheets on the German hompage. Unfortunately, the exercise sheets are only available in German. You may submit the solutions for the exercise sheets in groups of three people, but you should be assigned to the same exercise group as the person you submit your solutions with.
Literature
  • Forster, Analysis III
  • Lang, Real Analysis
  • Rudin,, Principles of Mathematical Analysis
  • Cohn, Measure Theory