Postgraduate Course: Pure Analysis 2 (MATH11097)
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 11 (Postgraduate) |
Credits |
20 |
| Home subject area |
Mathematics |
Other subject area |
None |
| Course website |
None
|
Taught in Gaelic? |
No |
| Course description |
This course covers Linear and Functional Analysis. As such it provides a solid and broad foundation to the more pure aspects of mathematical analysis and places many of the techniques of applied analysis on a firm footing. |
Entry Requirements
| Pre-requisites |
|
Co-requisites |
|
| Prohibited Combinations |
|
Other requirements |
None
|
| Additional Costs |
None |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
No |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Not available to visiting students (SS1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| No Classes have been defined for this Course |
| First Class |
First class information not currently available |
| No Exam Information |
Summary of Intended Learning Outcomes
Thorough understanding of the main properties of Banach and Hilbert spaces and linear operators acting on them. The Hahn$ûBanach theorem, Baire's theorem and its consequences.
Familiarity with weak topologies, Krein$ûMilman theorem.
Thorough understanding of the concepts and tools developed in the spectral theory of compact operators and C* algebras.
|
Assessment Information
| Examination 100% |
Special Arrangements
| Selection of this course requires the approval of the Programme Director. |
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 |
PA2 |
Contacts
| Course organiser |
Dr Joan Simon Soler
Tel: (0131 6)50 8571
Email: J.Simon@ed.ac.uk |
Course secretary |
Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
31 January 2011 8:00 am
|
University Homepage