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Course module: NWI-WB049B
NWI-WB049B
Introduction to Fourier Theory
Course infoSchedule
Course moduleNWI-WB049B
Credits (ECTS)3
CategoryBA (Bachelor)
Language of instructionEnglish
Offered byRadboud University; Faculty of Science; Wiskunde, Natuur- en Sterrenkunde;
Lecturer(s)
Coordinator
dr. A.Y. Burtscher
Other course modules lecturer
Lecturer
dr. A.Y. Burtscher
Other course modules lecturer
Contactperson for the course
dr. A.Y. Burtscher
Other course modules lecturer
Examiner
dr. A.Y. Burtscher
Other course modules lecturer
Academic year2021
Period
KW2  (08/11/2021 to 30/01/2022)
Starting block
KW2
Course mode
full-time
RemarksThis course is taught biennual, next in 21/22
Registration using OSIRISYes
Course open to students from other facultiesYes
Pre-registrationNo
Waiting listNo
Placement procedure-
Aims
  • The student is familiar with the fundaments of the theory of Fourier series, of the Fourier transform, and of the finite Fourier theory.
  • The student knows the most important theorems, like the inversion theorem, the Parseval/Plancherel formula and Poisson summation.
  • The student is able to recognize situations where the theory applies and can use it for solution of a broad class of partial differential equations.
Content
This course is based on a recent book by Elias Stein, one of the best known exports in the field of Fourier analysis, also known as harmonic analysis. Fourier analysis begins with the idea of Fourier that "every" periodic function is an (infinite) linear combination of sine and cosine functions, but quite some work is required in order to make this idea precise. These Fourier series, as well as the Fourier transform, have many applications to (partial) differential equations and even to number theory!
Level

Presumed foreknowledge
Analysis 1 + 2 (possibly also students of physics that have followed Calculus A and B).
Test information
Written exam (and weekly assignments)
Specifics

Required materials
Book
Elias M. Stein & Rami Shakarchi: Fourier Analysis. An Introduction (Part I of the Princeton Lectures in Analysis) Princeton University Press, Princeton 2003.
Instructional modes
Course occurrence

Lecture

Tutorial

Zelfstudie

Tests
Exam
Test weight1
Test typeExam
OpportunitiesBlock KW2, Block KW3

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