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MA3AM-Asymptotic Methods
Module Provider: Mathematics and Statistics
Number of credits: 20 [10 ECTS credits]
Level:6
Terms in which taught: Autumn / Spring term module
Pre-requisites: MA2DE Differential Equations
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2019/0
Email: p.glaister@reading.ac.uk
Type of module:
Summary module description:
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. This module is concerned with perturbation methods and applications will be made to non-linear equations, integrals and some ordinary differential equations.
Aims:
To introduce the basic ideas of asymptotic analysis and the development of skills in solving a range of problems, mainly involving non-linear equations, integrals and differential equations.
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, including non-linear equations, integrals and differential equations.
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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. This module is concerned with perturbation methods and applictions will be made to non-linear equations, integrals and some ordinary differential equations.
Brief description of teaching and learning methods:
Lectures supported by problem sheets.
Ìý | Autumn | Spring | Summer |
Lectures | 20 | 20 | |
Guided independent study: | 80 | 80 | |
Ìý | Ìý | Ìý | Ìý |
Total hours by term | 100 | 100 | |
Ìý | Ìý | Ìý | Ìý |
Total hours for module | 200 |
Method | Percentage |
Written exam | 100 |
Summative assessment- Examinations:
3 hours.
Summative assessment- Coursework and in-class tests:
Formative assessment methods:
Problem sheets
Penalties for late submission:
The Module Convener will apply the following penalties for work submitted late:
The University policy statement on penalties for late submission can be found at:
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.
Assessment requirements for a pass:
A mark of 40% overall.
Reassessment arrangements:
One examination paper of 3 hours duration in August/September.
Additional Costs (specified where applicable):
Last updated: 11 April 2019
THE INFORMATION CONTAINED IN THIS MODULE DESCRIPTION DOES NOT FORM ANY PART OF A STUDENT'S CONTRACT.