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Accessibility statement
This module teaches you mathematical methods used in modelling through their application to solving real-world problems. These methods include differential equations, linear algebra and vector calculus. You’ll become familiar with new mathematical skills mainly by using pencil and paper, and thinking. The module will give you a foundation for further study and is good preparation for higher-level mathematics, statistics or physics modules.
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.
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.
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:
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.
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.
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