Universität Wien

250041 VO Advanced Measure Theory (2025W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle
We 17.12. 08:00-09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Register/Deregister for this course

Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

Probably no class on October 17.

  • Wednesday 01.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 03.10. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 10.10. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 17.10. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 24.10. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.10. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 31.10. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 05.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 07.11. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 12.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 14.11. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 19.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 21.11. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 26.11. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 28.11. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 03.12. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 05.12. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 10.12. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 12.12. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 19.12. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 07.01. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 09.01. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 14.01. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 16.01. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 21.01. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 23.01. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 28.01. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 30.01. 13:15 - 14:45 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The theory of measure and integration belongs to the foundations of modern analysis, and provides the formal framework for probability theory. This course introduces its central concepts and results (discussing in particular: existence, uniqueness, basic properties, and examples of measures; the abstract Lebesgue integral, convergence theorems, and spaces of integrable functions; product measures; measures with densities; applications to real analysis), and offers brief appetizers for some more advanced topics, including the measure theory of fractals.

Assessment and permitted materials

oral exam is planned

Minimum requirements and assessment criteria

Thorough understanding and a working knowledge of the core part of the material presented in the lectures is required for passing the exam.

Examination topics

The material presented in the lectures; a more detailed description of what exactly is expected in the exam will be made available on https://www.mat.univie.ac.at/~bruin/VO_Measure_Theory_2025.html

Reading list

Will be given on https://www.mat.univie.ac.at/~bruin/VO_Measure_Theory_2025.html, but Chapters 3-13 and 15 of the online source https://www.math.wustl.edu/~victor/classes/ma5051/rags100514.pdf gives a fair indication.

Association in the course directory

MSTP; MBIP; ML1; MEL

Last modified: We 17.09.2025 21:47