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Timetable
Material
Notes about the lectured material will be added here during the course.
Lecture material
Other
Tasks
Final project work
Please choose one of the project topics listed below, and inform the lecturer of your choice by April 29th: further details are provided in the beginning of the PDF file. In particular, there is a possibility for individual discussion session, as explained in the file.
Homework sets, second period
Solutions, second period
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Homework sets, first period
Solutions, first period
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Description
Optional course.
Master's Programme in Mathematics and Statistics is responsible for the course.
The course belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
B.Sc.-level mathematics, Functional analysis
Sobolev space theory, Fourier analysis, theory of distributions
Knowledge of basic spectral theory for bounded and unbounded operators in Hilbert spaces and applications to partial differential equations
Recommended time/stage of studies for completion: 1. or 2. year
Term/teaching period when the course will be offered: varying
Unbounded operators in Hilbert spaces; closed, symmetric and self-adjoint operators; spectral theorem; perturbation theory; applications to elliptic PDE
Required: lecture notes.
Recommended: Reed-Simon, Methods of modern mathematical physics; Davies: Spectral theory and differential operators
Lectures and exercise classes
Exam and excercises, Course will be graded with grades 1-5
Exam, other methods will be described later
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