This module is designed to teach you about a variety of mathematical methods which are used in modelling through their application to solving real world problems. These methods include differential equations, linear algebra and vector calculus. You will become familiar with new mathematical skills mainly by using pencil and paper and by thinking. This module will give you a good foundation for higher-level study and is essential preparation for most OU level 3 mathematics, statistics or physics modules. To study this module you should have a sound knowledge of algebra, calculus, and geometry as provided by the appropriate OU level 1 study.
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.
Read the full content list here.
This module may help you to gain membership of the Institute of Mathematics and its Applications (IMA). For further information, see the IMA website.
You normally must have passed Essential mathematics 1 (MST124).
If you’re studying towards an engineering qualification, a pass in Engineering: mathematics, modelling, applications (T194) is an acceptable alternative to Essential mathematics 1. However, we recommend that you’ve also studied Core engineering A (T271) and Core engineering B (T272) to reinforce your skills in essential topics, such as algebra, calculus and geometry.
If you already have a strong mathematical background, you may be allowed to study Mathematical methods without having first studied Essential mathematics 1 or Engineering: mathematics, modelling, applications – Talk to an advisor.
Our self-assessed quiz can help you determine if you have the appropriate level of mathematical knowledge.
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.
A computing device with a browser and broadband internet access is required for this module. Any modern browser will be suitable for most computer activities. Functionality may be limited on mobile devices.
Any additional software will be provided, or is generally freely available. However, some activities may have more specific requirements. For this reason, you will need to be able to install and run additional software on a device that meets the requirements below.
A desktop or laptop computer with either an up-to-date version of Windows or macOS.
The screen of the device must have a resolution of at least 1024 pixels horizontally and 768 pixels vertically.
To join in the spoken conversation in our online rooms we recommend a headset (headphones or earphones with an integrated microphone).
Our Skills for OU study website has further information including computing skills for study, computer security, acquiring a computer and Microsoft software offers for students.