Undergraduate Course: Pure & Applied Analysis (MATH10008)
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 10 (Year 3 Undergraduate) |
Credits |
20 |
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, functions and distributions, transform techniques, existence and uniqueness for Partial Differential Equations, fundamental solutions and Green's functions. |
Course Delivery Information
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Delivery period: 2010/11 Full Year, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
King's Buildings | Lecture | | 1-22 | | | | | 12:10 - 13:00 | King's Buildings | Lecture | | 1-22 | | 12:10 - 13:00 | | | |
First Class |
Week 1, Tuesday, 12:10 - 13:00, Zone: King's Buildings. JCMB, Lecture Theatre A |
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.
5. Understanding basic Harmonic Analysis techniques and their use in PDEs
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Assessment Information
Examination only.
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Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
Not entered |
Contacts
Course organiser |
Dr Adri Olde-Daalhuis
Tel: (0131 6)50 5992
Email: A.OldeDaalhuis@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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