MATS315 Fourier Analysis (4–9 cr)
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, 2023-2024
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.
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