240031 Proseminar Einführung in die Fourier-Reihen (PS) (SoSe 2026)

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Fourier-Analysis hat Anwendungen in einer Vielzahl von Feldern in Mathematik und Physik, wie Zahlentheorie, partielle Differentialgleichungen, Signalverarbeitung und Quantenmechanik. Das Ziel dieses Proseminars ist es, eine Einführung in die diskrete Fourier-Transformation und die Fourier-Reihen zu geben. Diese bieten eine alternative (sogenannte spektrale) Darstellung von Vektoren bzw. periodischen Funktionen.

Das Proseminar wird bestehende Kenntnisse zu komplexen Zahlen, Funktionenreihen und Integrationstheorie festigen.
Das Proseminar ist für Studierende ab dem zweiten Semester geeignet. Kenntnisse zur Integrationstheorie werden erst dann verwendet, wenn sie im parallel stattfindenden Analysis II Kurs eingeführt wurden.

Requirements for participation, required level

Analysis I ist notwendig.
Analysis II kann parallel zum Proseminar besucht werden.

Bibliography

Die Hauptreferenz ist "Fourier Analysis: an introduction" (Elias M. Stein und Rami Shakarchi), ergänzt durch Anwendungen aus "Lectures on the Fourier Transform and Its Applications" (Brad Osgood).

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  
weekly Do 12-14   13.04.-24.07.2026

Subject assignments

Module Course Requirements  
24-B-GEO Geometry for Teaching in Advanced Secondary and Comprehensive Schools Geometrie (Gym/Ge) Proseminar Study requirement
Ungraded examination
Student information
24-B-PX Practice Module Praxismodul Proseminar Study requirement
Ungraded examination
Student information
24-B-PX1 Practice Module 1 Praxismodul 1 Proseminar Study requirement
Ungraded examination
Student information

The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.

Degree programme/academic programme Validity Variant Subdivision Status Semester LP  
Studieren ab 50    
No more requirements
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Registered number: 29
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Limitation of the number of participants:
Limited number of participants: 15
Address:
SS2026_240031@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Wednesday, January 7, 2026 
Last update times:
Thursday, December 18, 2025 
Last update rooms:
Thursday, December 18, 2025 
Type(s) / SWS (hours per week per semester)
proseminar (PS) / 2
Department
Faculty of Mathematics
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651838505