MAGIC022: Mathematical Methods

Course details

Semester

Spring 2008
Monday, January 21st to Friday, March 14th; Monday, April 28th to Friday, May 16th

Hours

Live lecture hours
20
Recorded lecture hours
0
Total advised study hours
0

Timetable

Wednesdays
11:05 - 11:55
Thursdays
11:05 - 11:55

Description

This is a core applied module. The aim of the course is to pool together a number of advanced mathematical methods which students doing research (in applied mathematics) should know about. Students will be expected to do extensive reading from selected texts, as well as try out example problems to reinforce the material covered in lectures. A number of topics are suggested below and depending on time available, most will be covered.

Recommended books:
  • Bender and Orsag, Advanced mathematical methods for scientists and engineers
  • Bleistan and Handlesman, Asymptotic expansions of integrals
  • Hinch, Perturbation methods

Prerequisites

No prerequisites information is available yet.

Syllabus

  • Advanced differential equations (series solution, estimation of behaviour of solutions).
  • Asymptotic methods (WKB, Steepest descent, Matched expansions).
  • Transform methods. (Laplace, Fourier, Mellin, Hankel).
  • Complex analysis, (Contour integrals, conformal mapping techniques, Cauchy-Hilbert integrals, Wiener-Hopf methods).
  • Special functions (hypergeometric).
  • Green's function methods.

Lecturer

  • JG

    Professor Jitesh Gajjar

    University
    University of Manchester

Bibliography

No bibliography has been specified for this course.

Assessment

Attention needed

Assessment information will be available nearer the time.

Files

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Lectures

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