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 or MA2DE2NU Differentiable Equations II
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2022/3

Module Convenor: Prof Paul Glaister
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.

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.

Contact hours:

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

Summative Assessment Methods:

Method	Percentage
Written exam	100

Summative assessment- Examinations:

3 hours.

The examination for this module will require a narrowly defined time window and is likely to be held in a dedicated exam venue.

Summative assessment- Coursework and in-class tests:

Formative assessment methods:

Problem sheets

Penalties for late submission:

The Support Centres will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

The University policy statement on penalties for late submission can be found at: /cqsd/-/media/project/functions/cqsd/documents/cqsd-old-site-documents/penaltiesforlatesubmission.pdf
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):

1) Required text books:Ìý

2) Specialist equipment or materials:Ìý

3) Specialist clothing, footwear or headgear:Ìý

4) Printing and binding:Ìý

5) Computers and devices with a particular specification:Ìý

6) Travel, accommodation and subsistence:Ìý

Last updated: 22 September 2022