course-details-portlet

TMA4170 - Fourier Analysis

About

Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours C

Course content

The course is intended to give the students a thorough introduction to Fourier analysis. Topics that are covered are: Fourier series and Fourier integrals; pointwise, uniform, and mean convergence of Fourier series; approximation kernels; Parseval's identity and Bessel's inequality; Plancherel's identity; the Schwartz space, convolutions, the Poisson summation formula, Heisenberg's uncertainty principle, selected applications in mathematics (for example partial differential equations and number theory) and in technology (for example signal processing). Topics that may be included in the course: Fourier transforms of distributions, discrete Fourier transforms, Fast Fourier Transform, filter theory, wavelets.

Learning outcome

1. Knowledge. The student has a knowledge of concepts and methods from Fourier analysis, as specified under "academic content". 2. Skills. The student is able to apply his or her knowledge of Fourier analysis to solve mathematical and technological problems.

Learning methods and activities

Lectures and exercises. Retake of examination may be given as an oral examination. The lectures may be given in English. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.

Further on evaluation

see «Teaching methods and activities».

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5027 7.5
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  SPRING 2023

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences

Examination

Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Spring ORD School exam 100/100 C INSPERA
Room Building Number of candidates
Summer UTS School exam 100/100 C INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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