Universität Wien

250062 VO Applied analysis (2020W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

This "Applied Analysis" course for master and PhD students (of all MINT directions) is planned as "hybrid" = "one day presence teaching in the classroom - with streaming + recording" plus "one day distance teaching with zoom and lecture notes + whiteboard".

Depending on the situation with corona and on the number of students we might also switch to classroom teaching only or distance teaching only.
The classroom lectures will be available on moodle as video, too.

  • Monday 05.10. 11:00 - 12:40 Hybride Lehre
  • Wednesday 07.10. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.10. 11:00 - 12:40 Hybride Lehre
  • Wednesday 14.10. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.10. 11:00 - 12:40 Hybride Lehre
  • Wednesday 21.10. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 28.10. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.11. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 09.11. 11:00 - 12:40 Hybride Lehre
  • Wednesday 11.11. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 16.11. 11:00 - 12:40 Hybride Lehre
  • Wednesday 18.11. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 23.11. 11:00 - 12:40 Hybride Lehre
  • Wednesday 25.11. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 30.11. 11:00 - 12:40 Hybride Lehre
  • Wednesday 02.12. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 07.12. 11:00 - 12:40 Hybride Lehre
  • Wednesday 09.12. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 14.12. 11:00 - 12:40 Hybride Lehre
  • Wednesday 16.12. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.01. 11:00 - 12:40 Hybride Lehre
  • Wednesday 13.01. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.01. 11:00 - 12:40 Hybride Lehre
  • Wednesday 20.01. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.01. 11:00 - 12:40 Hybride Lehre
  • Wednesday 27.01. 16:45 - 18:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

We present some aspects of modern "Applied Analysis", in particular aspects in "asymptotic analysis" and in "harmonic analysis".

Starting with the "scaling" of model equations we introduce regular and singular perturbation theory as a tool for asymptotic expansions in the context of "model hierarchies", like the transition from Burgers to Hopf equation or Boltzmann to Navier-Stokes to Euler equation.

The second part of the course is on Fourier methods in applied harmonic analysis. We investigate approximation rates via Fourier methods and discuss the Radon transform.

Assessment and permitted materials

Oral exam (presence on the blackboard or distance) where the presentation of exercises enters the grade.

Minimum requirements and assessment criteria

Understanding of the key theory presented in the course and the key exercises.

Examination topics

What has been presented in the course and the exercises.

Reading list

C. Schmeiser, N.J. Mauser and H.P. Stimming: "Applied Analysis" (lecture notes in English)

C. Kuttler: "Mathematische Modellbildung" (lecture notes in German)

L. Grafakos: "Classical Fourier Analysis"
S. Helgason: "The Radon Transform"

Association in the course directory

MAMA

Last modified: Fr 12.05.2023 00:21