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Accessibility statement
A image to illustrate Advanced mathematical methods module
This module teaches advanced mathematical methods with Maple, an algebraic computing language with graphics and numerical capabilities. Although the emphasis is on mathematical methods, you’ll use Maple to extend the use of these methods, help you visualise the mathematics, and enable you to combine conventional analytic techniques with numerical methods. You’ll explore various forms of approximations, perturbation expansions and accelerated convergence methods, including asymptotic expansions of integrals and some eigenvalue problems.
The first part of this module teaches the use of the algebraic computing language Maple. The Maple software is provided. We don’t expect you to have any knowledge of Maple before you begin the module. The rest of the module teaches the various forms of approximation and mathematical methods.
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).
You’ll get help and support from an assigned tutor throughout your module.
They’ll help by:
Online tutorials run throughout the module. While they’re not compulsory, we strongly encourage you to participate. Where possible, we’ll make recordings available.
Course work includes:
You’ll have access to a module website, which includes:
You’ll also be provided with printed course notes covering the module's content, including solutions to activities and explanations to aid your understanding of the concepts and associated skills and techniques contained in the set book.
Set books:
You can study this module on its own or use the credits you gain towards an Open University qualification.
M833 is an option module in our:
Advanced mathematical methods (M833) starts every other year – in October.
It will next start in October 2027.
We expect it to start for the last time in October 2029.
As a student of The Open University, you should be aware of the content of the academic regulations, which are available on our Student Policies and Regulations website.
You must have passed (or be studying in parallel) one of the following modules:
You should have a good working knowledge of calculus and the theory of ordinary differential equations.
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.
To find out more about what kind of support and adjustments might be available, contact us or visit our disability support pages.
StartEndRegister byEngland fee
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This module may have an optional study weekend. There will be a charge to attend in person or online. If attending in person, you’ll also need to pay for your travel, and accommodation if you need it. More details will be available after the module has started.
If you study this module as part of an eligible qualification, you can apply for a postgraduate loan to support your study costs. To find out more, see Postgraduate loans in England.
Studying with The Open University can boost your employability. OU courses are recognised and respected by employers for their excellence and the commitment they take to complete. They also value the skills that students learn and can apply in the workplace.
Over 30,000 employers have used the OU to develop staff so far. If the module you’ve chosen is geared towards your job or developing your career, you could approach your employer to see if they will sponsor you by paying some or all of the fees.
You can pay part or all of your tuition fees upfront with a debit or credit card when you register for each module.
We accept American Express, Mastercard, Visa and Visa Electron.
Please note: your permanent address/domicile will affect your fee status and, therefore, the fees you are charged and any financial support available to you. The fee information provided here is valid for modules starting before 31 July 2026. Fees typically increase annually. For further information about the University's fee policy, visit our Fee Rules.
This module will next start in October 2027 and will open for prebooking in September 2026.
This module will next start in October 2027 and will open for prebooking in September 2026.
Level info