MA-433 Partial Differential Equations and Harmonic Analysis
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Nils Mikael Signal
- Lecture Semester:
- Autumn
- Duration:
- 1 term
The course is connected to the following study programs
Prerequisites
Bachelor in mathematics.
Course contents
Introduction to the basics of partial differential equations and Fourier analysis, with applications to and examples from the natural sciences.
Learning outcomes
On successful completion of the course, the student
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Have an understanding for how partial differential equations appear in physics.
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Know and be able to explain the theory of Fourier series.
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Know and be able to explain the theory of the Fourier transform.
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Be able to use the theories to solve some (linear) initial value problems from physics, such as the heat, wave, and Schrödinger equations.
Examination requirements
None.
Teaching methods
Lectures and work in small groups. The course has an expected workload of approximately 200 hours.
Evaluation
The person responsible for the course, in consultation with the student representative, decides the method of evaluation and whether the courses will have a midterm- or end of term evaluation, see also the Quality System, section 4.1. Information about evaluation method for the course will be posted on Canvas.
Offered as Single Standing Module
Yes. Subject to availability or capacity.Assessment methods and criteria
Written 5-hour examn. Graded assessment.