Advanced mathematical methods
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, and accelerated convergence methods including Padé approximants, asymptotic expansions of integrals and some eigenvalue problems.
03 Oct 2015
Registration closes 14/08/15 (places subject to availability)Click to register
This module 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.
Note you must study this module if you wish to take the 'Advances in approximation theory' topic for your Dissertation in mathematics (M840).
To study this module you must declare the MSc in Mathematics (or another qualification towards which the module can count) as your qualification intention.
Normally, you should have also completed at least one of the intermediate modules for the MSc in Mathematics (F04)
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 speak to an adviser.
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.
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. Find out more about our services for disabled students.
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.
You will need a computer with internet access to study this module as the study materials and activities are accessible via a web browser. Any other computer-based activities you will need to carry out, such as word processing, using spreadsheets, taking part in online forums, and submitting files to the university for assessment, are specified in the module materials. If any additional software is needed for these tasks it will either be provided or is freely available.
We recommend either of the following:
Windows desktop or laptop computer running Windows 7 or later operating system
Macintosh desktop or laptop computer running OS X 10.7 or later operating system.
A netbook, tablet, smartphone or Linux computer that supports one of the browsers listed below may be suitable. The screen size should be at least 1024 (H) x 768 (W) pixels. If you intend to use one of these devices please ensure you have access to a suitable desktop or laptop computer in case you are unable to carry out all the module activities on your mobile device.
We recommend a minimum 1 Mbps internet connection and any of the following browsers:
Internet Explorer 9 and above
Apple Safari 7 and above
Google Chrome 31 and above
Mozilla Firefox 31 and above.
Note: using the latest version for your browser will maximise security when accessing the internet. Using company or library computers may prevent you accessing some internet materials or installing additional software.
See our Skills for OU study website for further information about computing skills for study and educational deals for buying Microsoft Office software.
Materials to buy
- Richards, D. Advanced Mathematical Methods with Maple (2 Part Set) Cambridge University Press £64.99 - ISBN 9780521135061 This book is Print on Demand, please allow at least 7 weeks for receipt following order.
Note: Presenting in October 2015 and October 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 us if you want to know more about study with The Open University before you register.
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.
Students also studied
Students who studied this course also studied at some time:
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
To register a place on this course return to the top of the page and use the Click to register button.
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.