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Advanced mathematical methods

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This module teaches advanced mathematical methods with the aid of Maple, an algebraic computing language with graphics and numerical capabilities, which you’ll be taught how to use. Although the emphasis is on mathematical methods, you’ll use Maple partly to extend the use of these methods, partly to help you to visualise the mathematics and partly to enable you to combine conventional analytic techniques with numerical analysis. You’ll explore various forms of approximations, perturbation expansions, accelerated convergence methods including Padé approximants, asymptotic expansions of integrals and some eigenvalue problems.

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No current presentation - see Future availability

This course is expected to start for the last time in October 2017.

What you will study

The first part of this MSc in Mathematics module teaches the use of Maple: you are not expected to have any knowledge of it before you begin. The rest of the module deals with the various forms of approximation.

You will learn

Successful study of this module should enhance your skills in programming in Maple, understanding complex mathematical texts and communicating mathematical ideas clearly.

Entry

You must declare the MSc in Mathematics (or another qualification towards which the module can count) as your qualification intention. 

You must normally pass at least one of the Intermediate modules M828, M821, M832, M836, M829 or M835 before studying this module. For this module you are advised to have studied Nonlinear ordinary differential equations (M821). A sound knowledge of real and complex analysis is also assumed. 

All teaching is in English and your proficiency in the English language should be adequate for the level of study you wish to take. We strongly recommend that students have achieved an IELTS (International English Language Testing System) score of at least 7. To assess your English language skills in relation to your proposed studies you can visit the IELTS website.

If you have any doubt about the suitability of the module, please contact our Student Registration & Enquiry Service.

Qualifications

M833 an optional module in our:

Some postgraduate qualifications allow study to be chosen from other subject areas. We advise you to refer to the relevant qualification descriptions for information on the circumstances in which this module can count towards these qualifications because from time to time the structure and requirements may change.

Regulations

As a student of The Open University, you should be aware of the content of the Module Regulations and the Student Regulations which are available on our Essential documents website.

If you have a disability

The material contains small print and diagrams, which may cause problems if you find reading text difficult. You will need to spend considerable amounts of time using a personal computer.

If you have particular study requirements please tell us as soon as possible, as some of our support services may take several weeks to arrange. Visit our Services for disabled students website for more information, including:

  • help to determine your study requirements and how to request the support that you need  
  • Disabled Students' Allowances (DSAs)
  • using a computer for OU study
  • equipment and other support services that we offer
  • examination arrangements
  • how to contact us for advice and support both before you register and while you are studying.

Study materials

What's included

Module notes, other printed materials.

You will need

We recommend that you have access to the internet at least once a week during the module and would like to point out that vital material, such as your assignments, will be delivered online.

Computing requirements

You will need a computer with internet access to study this course. It includes online activities – you can access using a web browser – and some course software provided on disk.

  • If you have purchased a new desktop or laptop computer running Windows since 2007 you should have no problems completing the computer-based activities.
  • A netbook, tablet or other mobile computing device is not suitable for this course – check our Technical requirements section.
  • If you have an Apple Mac or Linux computer – please note that you can only use it for this course by running Windows on it using Boot Camp or a similar dual-boot system.

You can also visit the Technical requirements section for further computing information including the details of the support we provide.

Materials to buy

Set books

  • Richards, Derek Advanced Mathematical Methods with Maple (2 part set), Cambridge University Press £57.00 - ISBN 9780521135061 (This book is Print on Demand, please allow at least 7 weeks for receipt following order)

Presented 2013, 2015 and 2017 only

Teaching and assessment

Support from your tutor

You will have a tutor who will help you with the study material and mark and comment on your written work, and whom you can ask for advice and guidance. Contact our Student Registration & Enquiry Service if you want to know more about study with The Open University before you register.

Assessment

The assessment details can be found in the facts box above.

You will be expected to submit your tutor-marked assignments (TMAs) online using a special maths eTMA processor, which is used in place of the main eTMA system, unless there are some difficulties which prevent you from doing so. In these circumstances, you must negotiate with your tutor to get their agreement to submit your assignment on paper.

You will, however, be granted the option of submitting on paper if typesetting electronically or merging scanned images of your answers to produce an electronic TMA would take you an unacceptably long time.

Future availability

The details given here are for the module that starts in October 2015. We expect it to then be available thereafter in odd years, starting in October.

How to register

We regret that we are currently unable to accept registrations for this course. Where the course is to be presented again in the future, relevant registration information will be displayed on this page as soon as it becomes available.

Student Reviews

“If you're interested in learning how to use advanced mathematical software - currently Maple is used - to solve either ...”
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“A tricky start to this, spending all my time programming (in Maple) when I thought I was studying a maths ...”
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Distance learning

The Open University is the world’s leading provider of flexible, high quality distance learning. Unlike other universities we are not campus based. You will study in a flexible way that works for you whether you’re at home, at work or on the move. As an OU student you’ll be supported throughout your studies – your tutor or study adviser will guide and advise you, offer detailed feedback on your assignments, and help with any study issues. Tuition might be in face-to-face groups, via online tutorials, or by phone.

For more information about distance learning at the OU read Study explained.

Course facts
About this course:
Course code M833
Credits 30
OU Level Postgraduate
SCQF level 11
FHEQ level 7
Course work includes:
4 Tutor-marked assignments (TMAs)
Examination
No residential school

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