Applied Complex Analysis - MAT00048H

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  • Department: Mathematics
  • Module co-ordinator: Prof. Evgeny Sklyanin
  • Credit value: 10 credits
  • Credit level: H
  • Academic year of delivery: 2017-18

Module will run

Occurrence Teaching cycle
A Spring Term 2017-18

Module aims

To demonstrate the applicability of Complex Analytic methods (such as computing residues, contour integration, expanding functions into power series and determining its radius of convergence) to Mathematical Physics. The special functions, such as Gamma function and various hypergeometric functions will appear mostly in numerous examples, using integral representations and linear differential equations as the main source and technique.

Module learning outcomes

At the end of the module you should be able to...

Be able to confidently apply tools and techniques of complex analysis in a variety of problems, including evaluation of contour integrals and solving differential equations.

Know various properties of the Gamma, Beta and other special functions.

Be able to find asymptotic expansions for a variety of functions.

Assessment

Task Length % of module mark
University - closed examination
Applied Complex Analysis		 2 hours 100

Special assessment rules

None

Reassessment

Task Length % of module mark
University - closed examination
Applied Complex Analysis		 2 hours 100

Module feedback

Information is currently unavailable.

Indicative reading

  • H A Priestley, Introduction to Complex Analysis (S 7.55 PRI)
  • Ian Stewart and David Tall, Complex Analysis: The Hitchhiker's Guide to the Plane (S 7.55 STE)
  • M.J. Ablowitz and A.S. Fokas, Complex variables: Introduction and Applications (Cambridge University press)
  • G F Simmons, Differential Equations, with Applications and Historical Notes, Tata MacGraw-Hill (paperback) (S7.38 SIM)
  • E T Whittaker and G N Watson, A Course of Modern Analysis, (Cambridge University Press)


The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.