Undergraduate Course: Hilbert Spaces (MATH10046)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Available to all students |
| Credit level (Normal year taken) |
SCQF Level 10 (Year 4 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html
|
Taught in Gaelic? |
No |
| Course description |
Inner product spaces, geometric and metric properties of Hilbert spaces, orthogonal expansions and projections in Hilbert spaces. Bounded linear functionals and operators, compact operators on Hilbert spaces. The spectral theorem for selfadjoint compact operators. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 1, Available to all students (SV1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | | | | | 12:10 - 13:00 | | King's Buildings | Lecture | | 1-11 | | 12:10 - 13:00 | | | |
| First Class |
Week 1, Tuesday, 12:10 - 13:00, Zone: King's Buildings. JCMB, Lecture Theatre C |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S2 (April/May) | | 2:00 | 16 sides. No YAF | |
Summary of Intended Learning Outcomes
1. Ability to apply general theory to specific examples.
3. An ability to use orthogonality arguments in concrete situations.
4. Familiarity of basic functional analysis results and an ability to use them.
5. To gain an appreciation of the interplay between analysis, geometry and algebra in the setting of Hilbert spaces.
|
Assessment Information
Examination only.
|
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
HSp |
Contacts
| Course organiser |
Dr Tom Mackay
Tel: (0131 6)50 5058
Email: T.Mackay@ed.ac.uk |
Course secretary |
Mrs Alison Fairgrieve
Tel: (0131 6)50 6427
Email: Alison.Fairgrieve@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
31 January 2011 7:59 am
|
University Homepage