The mathematical methods covered by this module are the core analytic methods useful for modelling the real world. The analytical (as opposed to numerical) solution of first and second-order ordinary differential equations is discussed, followed by linear algebra (vectors, matrices and determinants). We develop the elements of the calculus of functions of several variables, including vector calculus, which is followed by an introduction to methods for solving partial differential equations.
These mathematical methods are illustrated by putting them in the context of real-world applications (such as simple mechanical systems). You will be assessed only on your mathematical skills, not on your knowledge of the context used. The module teaches ‘pencil and paper’ mathematical skills: although it explains where numerical methods are important, no programming or special software is required.
You will learn all the core mathematical methods that are needed for further studies in applied sciences. In further study, you will begin to appreciate the power of the methods introduced here – they are applicable in a very wide variety of situations.
The module is delivered as printed material in four books. There are some optional supporting materials on the website.
The full content list is on the Open mathematics and statistics website.
This module has been awarded a quality mark by the Royal Statistical Society, providing reassurance that the teaching, learning and assessment within this module is of high quality and meets the needs of students and employers.
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:
The assignments focus on learning through practice. The feedback you receive will help you improve your knowledge and understanding and develop essential skills.
We’re using a new examination verification process for this module. We may ask you to attend a 15-minute post-exam video discussion, where you’ll present a photo ID and discuss your answers to a small number of questions with a tutor or member of the module team. The discussion isn’t graded; it’s only to verify that you completed the exam yourself.
You’ll have access to a module website, which includes:
We also provide physical:
You can study this module on its own or use the credits you gain towards an Open University qualification.
MST224 is a compulsory module in our:
MST224 is an option module in our:
Mathematical methods (MST224) starts once a year – in October.
It will next start in October 2026.
We expect it to start for the last time in October 2032.
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 one of the following modules:
Or be able to provide evidence you have the required mathematical skills.
You can check you’re ready for MST224 and see the topics it covers here.
You should aim to be confident and fluent with the concepts covered in the Are you ready? quiz here, and follow the advice in the quiz.
The key topics to revise include:
Essential mathematics 1 (MST124) is ideal preparation, and Essential mathematics 2 (MST125) is also useful.
T194 is an alternative to MST124 for engineering students. However, we recommend you’ve also studied Core engineering A (T271) and Core engineering B (T272) to reinforce your skills in algebra, calculus and geometry.
The OU strives to make all aspects of study accessible to everyone, and this Accessibility Statement outlines what studying MST224 involves. You should use this information to inform your study preparations and any discussions with us about how we can meet your needs.
To find out more about what kind of support and adjustments might be available, contact us or visit our Disability support website.
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There may be extra costs on top of the tuition fee, such as set books, a computer and internet access.
If your income is not more than £25,000 or you receive a qualifying benefit, you might be eligible for help with some of these costs after your module has started.
There may be extra costs on top of the tuition fee, such as set books, a computer and internet access.
If your personal income is £25,000 or less, or you’re on certain benefits, you could qualify for a grant and OU top-up funding to cover 100% of your course fees. Apply online at the same time as you register on your module.
For more information on how to apply, visit our Part-Time Fee Grants for students in Scotland page.
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Read more about Open University Student Budget Accounts (OUSBA).
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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.
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We know that sometimes you may want to combine payment options. For example, you may wish to pay part of your tuition fee with a debit card and pay the remainder in instalments through an Open University Student Budget Account (OUSBA).
We know that sometimes you may want to combine payment options. For example, you may get support from your employer to pay part of your tuition fee and pay the remainder by credit or debit card.
For more information about combining payment options, contact an adviser.
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.
