# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2013/2014 Archive for reference only THIS PAGE IS OUT OF DATE

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# Undergraduate Course: Complex Variable (MATH10001)

 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.
 Pre-requisites Students MUST have passed: ( Foundations of Calculus (MATH08005) AND Several Variable Calculus (MATH08006) AND Linear Algebra (MATH08007) AND Methods of Applied Mathematics (MATH08035)) OR ( Mathematics for Informatics 3a (MATH08042) AND Mathematics for Informatics 3b (MATH08043) AND Mathematics for Informatics 4a (MATH08044) AND Mathematics for Informatics 4b (MATH08045)) Co-requisites Prohibited Combinations Students MUST NOT also be taking Complex Variable & Differential Equations (MATH10033) Other requirements None Additional Costs None
 Pre-requisites None Displayed in Visiting Students Prospectus? Yes
 Not being delivered
 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.
 Examination only.
 None
 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
 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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