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This entry is from Winter semester 2016/17 and might be obsolete. No current equivalent could be found.

Wavelet Analysis I
(dt. Waveletanalysis I)

Level, degree of commitment Specialization module, depends on importing study program
Forms of teaching and learning,
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.
The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics.
Subject, Origin Mathematics, M.Sc. Mathematics
One semester,
Regularly alternating with other specialization modules
Person in charge of the module's outline Prof. Dr. Stephan Dahlke


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.


Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Modulen Maß- und Integrationstheorie und Funktionalanalysis vermittelt werden

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 2016/17. 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:

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.