# Further Engineering Mathematics

In this unit, learners will use algebraic techniques to solve engineering problems involving sequences, series, complex numbers and matrices.

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## Introduction to Further Engineering Mathematics Unit

Mathematics can be used to evaluate the intended and actual performance of a product or system at every stage of its life cycle. For example, mathematics may be used during the design of a product to determine whether it performs to specification. Statistics may be used during manufacturing processes as part of the quality-control system and determine the in-service reliability of products. Statistics can also be used to evaluate the vast amounts of data that can be gathered about products and customers using mobile communications and the Internet of Things (IoT). As such, the Further Engineering Mathematics unit will cover these aspects.

In the Further Engineering Mathematics unit, learners will use algebraic techniques to solve engineering problems. As such, this involves sequences, series, complex numbers and matrices. Therefore, you will investigate the use of statistics as a data-processing and analysis tools. For example, learners will apply techniques used by a quality assurance engineer to monitor the output from a manufacturing process.

As a future engineer, you will need to understand and develop skills to solve problems using algebraic and statistical procedures. In conjunction, these are transferable skills and you will use them to support your study of other units in this course. Therefore, this unit will help to prepare you for an apprenticeship or for employment in a range of engineering disciplines as a technician. You could also progress to a higher-level course, such as a Higher National Diploma (HND) or a degree in an engineering discipline.

## Learning outcomes

On completion of this unit a learner should:

1. Examine how sequences and series can be used to solve engineering problems
2. Examine how matrices and determinants can be used to solve engineering problems
3. Examine how complex numbers can be used to solve engineering problems
4. Investigate how statistical and probability techniques can be used to solve engineering problems.