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This entry is from Winter semester 2018/19 and might be obsolete. No current equivalent could be found.
Wavelet Analysis I
(dt. Waveletanalysis I)
Level, degree of commitment | Specialization module, compulsory elective module |
Forms of teaching and learning, workload |
Lecture (3 SWS), recitation class (1 SWS), 180 hours (60 h attendance, 120 h private study) |
Credit points, formal requirements |
6 CP Course requirement(s): Written or oral examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics. |
Duration, frequency |
One semester, Regularly alternating with other specialization modules |
Person in charge of the module's outline | Prof. Dr. Stephan Dahlke |
Contents
Multi-scale analysis, construction of wavelets, regularity and approximation properties of wavelet bases and their application, for example, in signal processing
Qualification Goals
The students shall
- get to know the starting point of wavelet analysis through concrete examples,
- Understand different constructions and deepen the analytical tools used,
- to understand exemplarily the theoretical background and the concrete application of analytical methods,
- follow recent developments in a current field of mathematics,
- practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
- improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.
Prerequisites
Translation is missing. Here is the German original:
Keine. Empfohlen werden die Kompetenzen, die in den Modulen Maß- und Integrationstheorie und Funktionalanalysis vermittelt werden.
Applicability
Module imported from M.Sc. Mathematics.
It can be attended at FB12 in study program(s)
- B.Sc. Mathematics
- B.Sc. Business Mathematics
- M.Sc. Data Science
- M.Sc. Computer Science
- M.Sc. Mathematics
- M.Sc. Business Mathematics
When studying B.Sc. Mathematics, this module can be attended in the study area Compulsory Elective Modules in Mathematics.
Die Wahlmöglichkeit des Moduls ist dadurch beschränkt, dass es der Angewandten Mathematics zugeordnet ist.
Recommended Reading
- Daubechies, I.: Ten lectures on Wavelets, CBMS-NSF Regional Confe-rence Series in Applied Mathematics, 61 SIAM Press, Philadelphia;
- Chui, C.: An Intriduction to Wavelets, Academic Press, 1992.
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2018/19. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24 (no corresponding element)
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.