See module specification for other years:
2018-192019-20
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)