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.
| Course facts | |
|---|---|
| About this course: | |
| Course code | MST224 |
| Credits | 30 |
| OU Level | 2 |
| SCQF level | 9 |
| FHEQ level | 5 |
| Course work includes: | |
| 4 Tutor-marked assignments (TMAs) | |
| 4 Interactive computer-marked assignments (iCMAs) | |
| Examination | |
| No residential school | |
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 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.
Talk to an advisor if you're not sure you're ready.
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 have access to a module website, which includes:
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.
You'll get help and support from an assigned tutor throughout your module.
They'll help by:
Online tutorials run throughout the module. Where possible, we'll make recordings available. While they're not compulsory, we strongly encourage you to participate.
The assessment details for this module can be found in the facts box.
Both the interactive computer-marked assignments (iCMAs) and TMAs will focus strongly on learning through practice rather than on assessment. The feedback you receive on your answers will help you to improve your knowledge and understanding of the study material and to develop important skills associated with the module.
The OU strives to make all aspects of study accessible to everyone. The Accessibility Statement below outlines what studying this module involves. You should use this information to inform your study preparations and any discussions with us about how we can meet your needs.
Printed materials are provided for the core module text. All of this module's study materials are also online; this includes PDFs of any printed materials, plus some items which are only provided online. Online-only materials include audio/video clips (with transcripts), diagrams and self-assessed quizzes. Online materials also include links to external resources, online forums and online tutorial rooms.
This module has online tutorials. Although not compulsory, tutorials will help you consolidate your learning.
Mathematical and scientific symbols and expressions are used throughout the module and you will be required to use such notation within assessment.
The study materials contain a considerable number of mathematical diagrams and graphs. Interpreting and producing examples of these is an important part of the study of this module and is assessed. Figure descriptions are provided for most figures.
In this module you will be working with specialist reading material containing mathematical notation and mathematical diagrams. These are delivered both in printed form and online.
This module has tutor-marked assignments (TMAs) that you can submit via the online TMA service or by post, interactive computer-marked assignments completed online and a remote exam.
You will receive feedback from your tutor on your submitted Tutor-Marked Assignments (TMAs). This will help you to reflect on your TMA performance. You should refer to it to help you prepare for your next assignment. Solutions and some explanations will also be provided for the interactive Computer-Marked Assignments (iCMAs).
All University modules are structured according to a set timetable and you will need time-management skills to keep your studies on track. You will be supported in developing these skills.
This module uses specialist symbols that are not covered by standard accessibility tools. The module materials and assessment use mathematical notation and mathematical diagrams throughout, so the module may not be fully accessible as a result and you may need the support of a non-medical helper.
Mathematical methods (MST224) starts once a year – in October.
This page describes the module that will start in October 2025.
We expect it to start for the last time in October 2028.
This course is expected to start for the last time in October 2028.
This module may help you to gain membership of the Institute of Mathematics and its Applications (IMA). For further information, see the IMA website.