Postgraduate Course: Pure Analysis 1 (MATH11098)
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 |
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Course description |
This course covers Measure Theory and Lebesgue Integration. 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. Applications to fractals are included. |
Entry Requirements
Pre-requisites |
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Co-requisites |
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Prohibited Combinations |
|
Other requirements |
None
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Additional Costs |
None |
Course Delivery Information
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Delivery period: 2010/11 Semester 1, 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 |
Summary of Intended Learning Outcomes
Thorough understanding of measure theory and theorems of convergence: Monotone and Dominated Convergence Theorems, Radon Nikodym theorem, L^p spaces, product measures, Riesz representation theorems, differentiation of measures.
Appreciation of applications of abstract theory of measure to fractal sets and Hausdorff dimensions. |
Assessment Information
Examination 100% |
Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Selection of this course requires the approval of the Programme Director. |
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 |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:19 am
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