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Applied Harmonic Analysis I
(dt. Angewandte harmonische Analysis I)

Level, degree of commitment Advanced 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): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination (individual examination)
Language,
Grading		 German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Mathematics.
Duration,
frequency		 One semester,
irregular
Person in charge of the module's outline Prof. Dr. Christian Rieger

Contents

Introduction to modern methods of harmonic analysis.

Possible topics (selection) include multi-scale analysis, wavelets, frames, reproducing core spaces.


Qualification Goals

The students

  • have become familiar with the starting point of harmonic analysis using concrete examples,
  • have traced various constructions and deepened their understanding of the analytical tools used,
  • recognize exemplarily the theoretical background and the concrete application of analytical methods,
  • have had the experience of following recent developments in a current subfield of mathematics,
  • have practiced mathematical working methods (developing mathematical intuition and its formal justification, training of the ability to abstract, reasoning),
  • have improved their oral ommunication skills in the exercises by practicing free speech in front of an audience and in discussion.

Prerequisites

None. The competences taught in the following modules are recommended: Measure and Integration Theory, Functional Analysis.


Applicability

Module imported from B.Sc. Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • M.Sc. Mathematics
  • M.Sc. Business Mathematics
  • LAaG Mathematics

When studying B.Sc. Business Mathematics, this module can be attended in the study area Free Compulsory Elective Modules.


Recommended Reading

  • Will be announced in the module announcement.



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. 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 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23 (no corresponding element)
  • Winter 2023/24

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.