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MAT-2101 Hilbert spaces
Work Load
10 credits (ECTS) | Contents
An introduction to metric spaces, inner product spaces and Hilbert spaces. Covers metrics, completeness and compactness, the Banach fixpoint theorem, linear functionals and operators, Hermitian operators, spectrum, orthogonal expansions, Green's functions and Sturm-Liouville problems. The prerequisites are MAT-1002 Calculus 2 and MAT-1004 Linear algebra. | Form of teaching
Lectures: 40 h Coursework: 30 h, a passing grade is requried on up to 6 mandatory homework sets for permission to take the exame. | Compulsory teaching
3 assignments | Assessment
Written exam of 4 hours duration. Lettergrades (A-F). | Examination semester
Autumn | Date(s) of written examination
15.12.2005
The exam date is preliminary and may be subject to change. Definitive exam date will be announced on the notice boards at the faculties in the beginning of May for the spring semester and in the beginning of November for the autumn semester. | Type of course
Theoretical subject. | Level of course/Year of study
Normally third year. | Contact person/lecturer
Helge Johansen, tel: 77 64 51 30, e-mail: helge.johansen@matnat.uit.no | Recommended previous qualifications
MAT-1002 Calculus 2, MAT-1004 Linear algebra | Recommended reading/syllabus
Available on request | Language of instruction
Norwegian | Homepage
http://uit.no/matstat/mat-2101/
| Timetables
http://timeplan.uit.no/emne.php?department=ALLE&module=MAT-2101-1 |
Grades
Letters, A – F.
Textbooks
Victor Bryant, "Metric Spaces" and Nicholas Young, "An introduction to Hilbert space"
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