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, accelerated convergence methods including Padé approximants, asymptotic expansions of integrals and some eigenvalue problems.
No current presentation
- see Future availability
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 contact our Student Registration & Enquiry Service.
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 it includes online activities, which you can access using a web browser.
If you have purchased a new desktop or laptop computer since 2008 you should have no problems completing the online activities.
If you’ve got a netbook, tablet or other mobile device check our Technical requirements section.
If you use an Apple Mac you will need OS X 10.7 or later.
You can also visit the Technical requirements section for further computing information (including details of the support we provide).
Materials to buy
- Richards, Derek Advanced Mathematical Methods with Maple (2 part set) Cambridge University Press £60.00 - 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.
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
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.
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.