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
Prerequisites  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 powerseries 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.

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 

