Ordinary Differential Equations II
MATM37 Ordinary Differential Equations 2, 7,5 credits, is an alternative-compulsory for a Master of Science degree in mathematics. The course can be taken as an stand-alone course. The course is given at half-study pace during the first half of teh spring semester. The language of instruction is English.
Course Content
Ordinary differential equations are one of the most important mathematical tools within the natural sciences. They can be used to describe anything from population dynamics to quantum mechanics. We will begin by discussing some basic theorems about existence, uniqueness and approximation of solutions to initial value problems. After this, we will study boundary value problems, in particular, general eigenfunction expansions. These can be seen as generalised Fourier series and play an important role in quantum mechanics. The last part of the course will focus on nonlinear autonomous systems where we will study phase portraits, stability and periodic orbits. We will finish with an orientation about strange attractors in chaos theory.
Teaching
The teaching consists of lectures and seminars.
Assessment
The examination consists of a written examination, an oral examination and a written assignment. The oral examination may only be taken by those students who pass the written examination. The grading scale is Fail, Pass, Pass with distinction.
Course Literature
- K. G. Andersson, L.-C. Böiers, Ordinary Differential Equations, Studentlitteratur, 2019, ISBN 9789144134956.
- Lecture notes can be downloaded here Download here.
Official Course Description
Course Evaluation
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