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Degree Regulations & Programmes of Study 2010/2011
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DRPS : Course Catalogue : School of Mathematics : Mathematics

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 http://student.maths.ed.ac.uk
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.
Entry Requirements
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
Information for Visiting Students
Pre-requisites None
Prospectus website http://www.ed.ac.uk/studying/visiting-exchange/courses
Course Delivery Information
Delivery period: 2010/11 Semester 2, Available to all students (SV1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 12:10 - 13:00
King's BuildingsLecture1-11 12:10 - 13:00
First Class First class information not currently available
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.
Assessment Information
Examination only.
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