MATS315 Fourier Analysis (4–9 cr)

Open the course unit brochure on Sisu
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

Description

Fourier series, Fourier transform, Fourier analysis in different function classes, applications.

Learning outcomes

  • the student knows basic properties of Fourier series
  • the student knows the definition and properties of the Fourier transforms
  • the student is familiar with Fourier analysis in different function classes
  • the student is aware of applications of Fourier analysis

Description of prerequisites

Measure and integration 1, and possibly Functional analysis depending on the implementation of the course.

Completion methods

Method 1

Evaluation criteria:
A sufficient amount of points from exercises and/or seminar presentation and/or exam, depending on the implementation of the course.
Select all marked parts

Method 2

Evaluation criteria:
The grade is decided by the performance in the exam.
Select all marked parts
Parts of the completion methods
x

Teaching (4–9 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
A sufficient amount of points from exercises and/or seminar presentation and/or exam, depending on the implementation of the course.
Language:
English, Finnish
Study methods:

Lectures and exercises.

Study materials:

Lecture notes Mikko Salo: Fourier analysis and distribution theory, or other material determined by the lecturer.

Teaching

x

Exam (4–9 cr)

Type:
Exam
Grading scale:
0-5
Evaluation criteria:
The grade is decided by the performance in the exam.
Language:
English, Finnish

Teaching