Undergraduate Course: Complex Variable (MATH10001)
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 | 10 |
| 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 | Course for Honours Degrees in Chemical Physics, Mathematical Physics and Physics. Syllabus summary: Analytic functions, contour integrals, Laurent series and residues, Fourier transform. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
1. Knowledge of basic properties of analytic functions of a complex variable, including power-series expansions, Laurent expansions, and Liouville's theorem
2. The idea of conformal mapping, use of fractional linear transformations
3. Knowledge of the fundamental integral theorems of complex analysis
4. Ability to use residue calculus to perform definite integrals
5. Knowledge of some of the relations between analytic functions and PDE, e.g. relation to harmonic functions, the maximum principle
6. Familiarity with the Fourier integral as a tool for the study of ordinary and partial differential equations.
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Assessment Information
| Examination only. |
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 | CoV |
Contacts
| Course organiser | Prof A Carbery
Tel: (0131 6)50 5993
Email: A.Carbery@ed.ac.uk |
Course secretary | Dr Jenna Mann
Tel: (0131 6)50 4885
Email: Jenna.Mann@ed.ac.uk |
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