Welcome MATM27 Ordinary Differential Equations 2, 7.5 credits
MATM27 Ordinary Differential Equations II is an optional course for a Master of Science degree in mathematics.
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, some concepts which are important for nonlinear systems, such as phase portraits and stability, will be studied. The last part of the course will focus on boundary value problems. In particular, we will discuss general eigenfunction expansions, which can be seen as generalised Fourier series and play an important role in quantum mechanics.TeachingThe teaching consists of lectures and seminars.AssessmentThe course is assessed through a written and an oral examination.Course literature Schedule
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