Partial Differential Equations and Harmonic Analysis
Included in Study
Mathematics, Master's Programme
Bachelor in mathematics.
On successful completion of the course, the student
Have an understanding for how partial differential equations appear in physics.
Know and be able to explain the theory of Fourier series.
Know and be able to explain the theory of the Fourier transform.
Be able to use the theories to solve some (linear) initial value problems from physics, such as the heat, wave, and Schrödinger equations.
Introduction to the basics of partial differential equations and Fourier analysis, with applications to and examples from the natural sciences.
Lectures and work in small groups. The course has an expected workload of approximately 200 hours.
Assessment methods and criteria
Written 5-hour examn. Graded assessment.
The study programme manager, 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.