Warning! The directory is not yet complete and will be amended until the beginning of the term.
250062 VO Applied analysis (2021W)
Labels
MIXED
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).
Details
Language: English
Examination dates
Monday
31.01.2022
Tuesday
01.02.2022
Monday
28.02.2022
Wednesday
02.03.2022
Tuesday
03.05.2022
Monday
16.05.2022
Thursday
02.06.2022
Wednesday
20.07.2022
Thursday
29.09.2022
Lecturers
Classes (iCal) - next class is marked with N
We hope that the covid-situation will allow "presence teaching" in the class room, according to the rules in vigour in october 2021 ("3G" and less dense packing of classroom).
We prepare for "distance teaching", too - i.e. classes via zoom.Or a combination: one day per week presence, one day zoom.In any case, all "blackboard lectures" will be "streamed" and made available for watching later.
Tuesday
05.10.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
11.10.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
12.10.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
18.10.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
19.10.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
25.10.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Monday
08.11.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
09.11.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
15.11.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
16.11.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
22.11.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
23.11.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
29.11.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
30.11.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
06.12.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
07.12.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
13.12.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
14.12.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
10.01.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
11.01.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
17.01.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
18.01.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
24.01.
15:00 - 16:30
Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
25.01.
12:30 - 14:00
Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Monday
31.01.
15:00 - 16:30
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", with emphasis on PDE and fluid dynamics - 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 other important transforms such as the Wavelet or Radon transform etc.Examples and applications are presented, also exercises for individual homework.
Assessment and permitted materials
Oral exam (presence on the blackboard or distance by zoom) 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
N.J. Mauser, C. Schmeiser and H.P. Stimming - M. Dörfler and M. Ehler: "Applied Analysis" (lecture notes in English)---S. Hittmeir, N.J. Mauser and H.P. Stimming "Mathematische Modellierung" (lecture notes in German)C. Kuttler: "Mathematische Modellbildung" (lecture notes in German)T. Olson: Applied Fourier Analysis
I. Daubechies: Ten lectures on Wavelets
L. Grafakos: "Classical Fourier Analysis"
S. Helgason: "The Radon Transform"
I. Daubechies: Ten lectures on Wavelets
L. Grafakos: "Classical Fourier Analysis"
S. Helgason: "The Radon Transform"
Association in the course directory
MAMA
Last modified: Tu 04.10.2022 08:28