Undergraduate Course: Pure & Applied Analysis (VS1) (MATH10019)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Part-year visiting students only |
Credit level (Normal year taken) |
SCQF Level 10 (Year 3 Undergraduate) |
Credits |
10 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Honours) |
Course website |
http://student.maths.ed.ac.uk |
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Course description |
Core course for Honours Degrees in Mathematics and/or Statistics.
Syllabus Summary: Sequences and series, uniform convergence, the Riemann integral, convergence of Fourier series, applications. |
Entry Requirements
Pre-requisites |
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Co-requisites |
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Prohibited Combinations |
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Other requirements |
None
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Additional Costs |
None |
Course Delivery Information
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Delivery period: 2010/11 Semester 1, Part-year visiting students only (VV1)
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WebCT enabled: Yes |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
King's Buildings | Lecture | | 1-11 | | | | | 12:10 - 13:00 | King's Buildings | Lecture | | 1-11 | | 12:10 - 13:00 | | | |
First Class |
First class information not currently available |
Additional information |
Supervision: one hour per week (shared with other 'core' courses), at a time to be arranged with Supervisor. |
Summary of Intended Learning Outcomes
1. Understanding the definitions and concepts of convergence, Cauchy sequences, and completeness in R and C.
2. Understanding the notions of open and closed subsets of Rn and their relationship to convergence.
3. Ability to test sequences and series of functions for uniform convergence.
4. Familiarity with the idea that problems of analysis such as convergence of Fourier series can be couched in and resolved using the language of metric spaces.
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Assessment Information
Examination (100%)
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Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Bruce Worton
Tel: (0131 6)50 4884
Email: Bruce.Worton@ed.ac.uk |
Course secretary |
Mrs Katherine Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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copyright 2010 The University of Edinburgh -
1 September 2010 6:18 am
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