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MAT-2101: Hilbert spaces Work Load
10 credits (ECTS) | Type of course
Theoretical subject. | Level of course/Year of study
Normally third year. | Language of instruction
Norwegian | Examination semester
Autumn
| 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. | Recommended previous qualifications
MAT-1002 Calculus 2, MAT-1004 Linear algebra | Form of teaching
Lectures: 40 h				Coursework: 30 h, a passing grade is required on up to 6 mandatory homework sets for permission to take the exam. | Coursework requirements
3 assignments
| Exam and assessment
Written exam of 4 hours duration. Lettergrades (A-F). | Contact person/lecturer
Helge Johansen, tel: 77 64 51 30, e-mail: helge.johansen@matnat.uit.no | Recommended reading/syllabus
Available on request | Homepage
http://uit.no/matstat/mat-2101/
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