MA-313 Fourier Analysis
- ECTS Credits:
- 10
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Nils Mikael Signal
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian or English
- Duration:
- 1 term
The course is connected to the following study programs
- Industrial Mathematics, Bachelor's Programme
Teaching language
Norwegian or EnglishRecommended prerequisites
MA-183, MA-184, MA-185 and MA-227
Course contents
Introduction to the basic theory of both discrete and continuous Fourier analysis and of Schwartz’ theory of test functions and distribution theory. Important examples of applications of Fourier series and Fourier transformations in analysis and solutions of partial differential equations with time and space requirements. Use of distribution theory to treat problems where parameters and solutions are not smooth.
Learning outcomes
Upon successful completion of the course, the student will
-
Have knowledge of and will be able to explain the theory of Fourier series
-
Have knowledge of and will be able to explain the theory of the Fourier transformation.
-
Have knowledge of and will be able to explain the theory of Schwartz functions and distributions
-
Be able to use the theories to analyze some (linear) initial-boundary value problems from physics, such as the heat, wave and Schrødinger equations.
Examination requirements
Mandatory hand-ins must be approved. See Canvas for details.
Teaching methods
Lectures, group work, and mandatory hand-ins. Estimated workload of the course is 267 hours.
Evaluation
The person responsible for the course decides, in cooperation with student representative, the form of student evaluation and whether the course is to have a midway or end of course evaluation in accordance with the quality system for education, chapter 4.1.
Admission for external candidates
No
Offered as Single Standing Module
Yes. Subject to availability or capacity.
Assessment methods and criteria
Individual oral, graded exam.