Postgraduate Course: Pure Analysis 2 (MATH11097)
Course Outline
School | School of Mathematics |
College | College of Science and Engineering |
Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Availability | Not available to visiting students |
SCQF Credits | 20 |
ECTS Credits | 10 |
Summary | *Only Postgraduate Taught students on Mathematics Degree Programmes and Undergraduate MMath Year 5 students may take this course, and selection requires the approval of the Programme Director.*
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. |
Course description |
Not entered
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Entry Requirements (not applicable to Visiting Students)
Pre-requisites |
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Co-requisites | |
Prohibited Combinations | |
Other requirements | None |
Course Delivery Information
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Academic year 2014/15, Not available to visiting students (SS1)
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Quota: None |
Course Start |
Semester 2 |
Timetable |
Timetable |
Learning and Teaching activities (Further Info) |
Total Hours:
200
(
Lecture Hours 20,
Seminar/Tutorial Hours 10,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
163 )
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Assessment (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
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Additional Information (Assessment) |
See 'Breakdown of Assessment Methods' and 'Additional Notes', above. |
Feedback |
Not entered |
Exam Information |
Exam Diet |
Paper Name |
Hours & Minutes |
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Main Exam Diet S2 (April/May) | MSc Pure Analysis 2 | 3:00 | |
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.
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Additional Information
Graduate Attributes and Skills |
Not entered |
Special Arrangements |
Selection of this course requires the approval of the Programme Director. |
Keywords | PA2 |
Contacts
Course organiser | Prof Jim Wright
Tel: (0131 6)50 8570
Email: J.R.Wright@ed.ac.uk |
Course secretary | Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk |
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© Copyright 2014 The University of Edinburgh - 12 January 2015 4:22 am
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