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 |
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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
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| Delivery period: 2012/13 Semester 2, Not available to visiting students (SS1)
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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 |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
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| Main Exam Diet S2 (April/May) | MSc Pure Analysis 2 | 3:00 | | |
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.
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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 | Dr Joan Simon Soler
Tel: (0131 6)50 8571
Email: |
Course secretary | Mrs Frances Reid
Tel: (0131 6)50 4883
Email: |
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