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 |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| 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. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
|
| Delivery period: 2011/12 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 | Th B, JCMB | 1-29 | | 12:10 - 13:00 | | | | | King's Buildings | Lecture | Th A, JCMB | 1-29 | | | | | 12:10 - 13:00 |
| First Class |
Week 1, Tuesday, 12:10 - 13:00, Zone: King's Buildings. Th B, JCMB |
| Additional information |
Supervision: one hour per week (shared with other 'core' courses), at a time to be arranged with Supervisor. |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
|
|
| Main Exam Diet S2 (April/May) | | 3:00 | | | | Resit Exam Diet (August) | | 3:00 | | |
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 100% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
http://www.readinglists.co.uk |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | PAA |
Contacts
| Course organiser | Dr Pieter Blue
Tel:
Email: P.Blue@ed.ac.uk |
Course secretary | Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
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© Copyright 2011 The University of Edinburgh - 16 January 2012 6:24 am
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