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MA4XH2-Asymptotic Methods

Module Provider: Mathematics
Number of credits: 20 [10ECTS credits]
Level: M (Masters)
Terms in which taught: Autumn, Spring and Summer
Module Convenor: Dr P Glaister
Pre-requisites: MA11B MA24B
Co-requisites:
Modules excluded:
Module version for: 2008/9

Email: p.glaister@reading.ac.uk

Aims:
To introduce the basic ideas of asymptotic analysis and the development of skills in solving a range of appropriate problems.

Assessable learning outcomes:
By the end of the module students are expected to be able to:

  • construct and use uniform asymptotic expansions for a range of appropriate problems,
  • deduce information about non-linear equations, integrals and differential equations

    Additional outcomes:

    Outline content:
    Foremost among the analytic techniques used in applications are the systematic methods of perturbations (asymptotic expansions) in terms of a small or large parameter or co-ordinate. The second half of the module is concerned with perturbation methods and applications will be made to ordinary differential equations.

    Brief description of teaching and learning methods:
    Lectures

    Contact hours:

      Autumn Spring Summer
    Lectures 20 20
    Tutorials/seminars      
    Practicals      
    Other contact (eg study visits)    
    Total hours 20  20 
    Number of essays or assignments
    Other (eg major seminar paper)      

    Assessment:
    Coursework
    Relative percentage of coursework : 0
    Examinations
    An exam of three hours. This contributes 100% of the overall assessment.
    Requirements for a pass
    A mark of 40% overall.
    Reassessment arrangements
    Re-examination in August/September only.

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