**Unit 039** **Further Mathematics – Credit Value 15 Level 5 [H/615/1507]**

The understanding of more advanced mathematics is important within an engineering curriculum to support and broaden abilities within the applied subjects at the core of all engineering programmes. Students are introduced to additional topics that will be relevant to them as they progress to the next level of their studies, advancing their knowledge of the underpinning mathematics gained in Unit 2: Engineering Maths.

The unit will prepare students to analyse and model engineering situations using mathematical techniques. Among the topics included in this unit are: number theory, complex numbers, matrix theory, linear equations, numerical integration, numerical differentiation, and graphical representations of curves for estimation within an engineering context. Finally, students will expand their knowledge of calculus to discover how to model and solve engineering problems using first and second order differential equations.

On successful completion of this unit students will be able to use applications of number theory in practical engineering situations, solve systems of linear equations relevant to engineering applications using matrix methods, approximate solutions of contextualised examples with graphical and numerical methods, and review models of engineering systems using ordinary differential equations.

**Learning Outcomes**

By the end of this unit students will be able to:

- Use applications of number theory in practical engineering situations.
- Solve systems of linear equations relevant to engineering applications using matrix methods.
- Approximate solutions of contextualised examples with graphical and numerical methods.
- Review models of engineering systems using ordinary differential equations.

**Recommended Resources**

**Textbooks**

BIRD, J. (2014) Higher Engineering Mathematics. 7th Ed. London: Routledge.

SINGH, K. (2011) Engineering Mathematics Through Applications. 2nd Ed. Basingstoke: Palgrave Macmillan.

STROUD, K.A. and BOOTH, D.J. (2013) Engineering Mathematics. 7th Ed. Basingstoke: Palgrave Macmillan.

**Websites**

http://www.mathcentre.ac.uk/ Maths Centre (Tutorials)

http://www.mathtutor.ac.uk/ Maths Tutor (Tutorials)

**Links**

This unit links to the following related units:

Links to the following HN Engineering Courses