Solutions to exercises
Exercise problems as pdf-files
There will be two examinations, one at the end of each period. The maximum of each exam is 24 points, and to pass the course one has to get the minimum of 8 points in each exam, in addition to the usual minimum of about 22 points total. Bonus points from solutions of exercises: 25 % of problems solved = 1 point, 35 % = 2 points, 45 % = 3 points, 55 % = 4 points, 65 % = 5 points, 75 % = 6 points, to be added to the results of examinations.
The second exam will take place Thursday May 3rd at 14.15-16.00 in the room C122.
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