Table of contents

The course is connected to the following study programs

Prerequisites

Bachelor in mathematics.

Learning outcomes

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.

Contents

Introduction to the basics of partial differential equations and Fourier analysis, with applications to and examples from the natural sciences.

Teaching and learning methods

Lectures and work in small groups. The course has an expected workload of approximately 200 hours.

Examination requirements

None.

Examinations

Written 5-hour examn. Graded assessment.

Student 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 a free-standing course

Yes. Subject to availability or capacity.
Last updated from FS (Felles studentsystem) Oct. 15, 2026 7:37:09 AM