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 (not applicable to Visiting Students)
| 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
| Not being delivered |
Summary of Intended Learning Outcomes
Thorough understanding of the main properties of Banach and Hilbert spaces and linear operators acting on them. The Hahn¿Banach theorem, Baire's theorem and its consequences.
Familiarity with weak topologies, Krein¿Milman theorem.
Thorough understanding of the concepts and tools developed in the spectral theory of compact operators and C* algebras.
|
Assessment Information
Examination 80%
Continuous Assessment 20% |
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 | Prof Tom Lenagan
Tel: (0131 6)50 5078
Email: |
Course secretary | Mrs Frances Reid
Tel: (0131 6)50 4883
Email: |
|
|
University Homepage