Mathematical methods
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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.
What you will study
The mathematical methods covered by this module are the core analytic methods that are 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, there is no programming or special software 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.
You can find the full content list on the .
Professional recognition
This module may help you to gain membership of the Institute of Mathematics and its Applications (IMA). For further information, see the .
Entry requirements
You must have passed one of the following modules:
Or be able to provide evidence you have the required mathematical skills.
You can .
if you’re not sure you’re ready.
Preparatory work
You should aim to be confident and fluent with the concepts covered in the , and follow the advice in the quiz.
The key topics to revise include:
- algebra
- geometry
- trigonometry
- calculus.
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.
What's included
You’ll have access to a module website, which includes:
- a week-by-week study planner
- course-specific module materials
- audio and video content
- assessment details, instructions and guidance
- online tutorial access
- access to student and tutor group forums.
You’ll be provided with printed books covering the content of the module, including explanations, examples and activities to aid your understanding of the concepts and associated skills and techniques. In addition, you will have a printed handbook.
Computing requirements
- Primary device – A desktop or laptop computer. It’s possible to access some materials on a mobile phone, tablet or Chromebook; however, they will not be suitable as your primary device.
- Peripheral device – Headphones/earphones with a built-in microphone for online tutorials.
- Our OU Study app operates on supported versions of Android and iOS.
- Operating systems – Windows 11 or latest supported macOS. Microsoft will no longer support Windows 10 as of 14 October 2025.
- Internet access – Broadband or mobile connection.
- Browser – Google Chrome and Microsoft Edge are recommended. Mozilla Firefox and Safari may be suitable.