Course - Fourier Analysis - TMA4170
Fourier Analysis
About
About the course
Course content
Fourier series. Introduction to Lebesgue measure theory and Hilbert spaces. Convolution. Discrete Fourier transform Fast Fourier Transform. Filter theory and signals. Applications in mathematics or technology, such as image analysis.
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 compulsory exercises. Retake of examination may be given as an oral examination.
Recommended previous knowledge
The course is based on TMA4100/05/10/15/20 Calculus 1/2/3/4K, or equivalent. It is an advantage to have TMA4145 Linear Methods. For students who have their background from Mathematical sciences: MA1101 Calculus I, MA1201 Linear Algebra and Geometry and MA2105 Differential Equations and Complex Function Theory.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5027 | 7.5 sp |
Subject areas
- Mathematics
- Technological subjects