4A009E - Mathematics and Physics for Engineers 01 Sep 2026 - 31 Aug 2032 | Version 0

Associated Module Information

Module Code: 4A009E
Module Title: Mathematics and Physics for Engineers
Faculty: Faculty of Computing, Engineering and Science
Faculty Group: Engineering
Faculty Sub Group: Aircraft Maintenance Engineering
Module Leader:
Module Team: Bethan Llewellyn, Polly Blaikie, Andrew Carter, Nyam Nutalapati, Ward Broughton, Giuseppe Leogrande, Osama Siddique
First Intended Intake: SEP 2026 Final Year of Intake: 2031
Date Closed:
Credit Value: 20 Credit Level: 4
Language: English
Percentage of Module Taught in Welsh: 0
Equivalent Module:
HECOS codes: 100163 - electrical and electronic engineering
HECOS Code Weighting: 100

Document Version Information

Version 0
Valid From 01 Sep 2026
Valid To 31 Aug 2032

Module Aims

  • To develop students' confidence in applying mathematical and physical principles to engineering problems and contexts. 

  • To demonstrate the importance of mathematics and physics in understanding, analysing and solving engineering challenges within aircraft engineering and related disciplines. 

Content Summary

This module develops the mathematical and physical principles that underpin engineering analysis and problem solving. Students begin by studying fundamental mathematical techniques, including algebra, trigonometry, quadratic equations, indices and logarithms, together with trigonometric, inverse trigonometric, exponential and hyperbolic functions. The module also introduces the graphical representation of functions, coordinate geometry, straight-line relationships and least-squares approximations. Further mathematical topics include complex numbers and De Moivre's theorem, the solution of systems of linear equations, and the application of differential and integral calculus. Students explore differentiation and integration techniques, including substitution and integration by parts, and apply these methods to engineering problems involving rates of change, optimisation and area calculations. 

The module also introduces statistical methods relevant to engineering, including measures of central tendency and dispersion, together with elementary probability concepts. The physics component develops an understanding of the fundamental principles governing engineering systems, including stress, strain and elasticity, kinetics, linear and rotational motion, periodic motion and dynamics. Students investigate the concepts of mass, force, inertia, momentum and friction, before progressing to fluid dynamics, thermodynamics and heat transfer, including the first and second laws of thermodynamics. The module concludes with an introduction to wave phenomena, sound and optics, enabling students to appreciate the broad range of physical principles that underpin modern engineering applications. 

Learning and Teaching Methods

Activity Type Hours
Lecture 42
Tutorial 6
Independent Study 92
Directed Study 60
Total Hours Selected 200

Learning Outcomes

# Learning Outcome
LO1 Apply appropriate mathematical methods, including algebra, calculus and differential equations, to analyse and solve engineering problems.
LO2 Explain fundamental physical principles and apply suitable analytical techniques to solve problems involving matter, mechanics, statics, dynamics, fluids, light, waves and sound.

Module Requisites

N/A

Assessment Criteria

Assessment Category Assessment Type Description Duration Word Count Weight (%) Best of? Pass Mark
Asynchronous Assessment Portfolio Maths in class test, physics in class test, Physics labs (mixture) 30 N/A 50 No 40
Synchronous Onsite Assessment  Classroom Test - Time Constrained (Onsite)  Maths & Physics closed book examination 90 N/A 50 No 40

Assessment Matrix

Assessment Type Learning Outcomes
LO1 LO2
Portfolio ✔ ✔
Classroom Test - Time Constrained (Onsite)  ✔ ✔

Reading List

1 Stroud K A (Latest Edition), Engineering Mathematics, Palgrave 

2 Mathematics for Engineers (Notes as supplied) 

3 L. Dingle and M. Tooley (2013) Aircraft Engineering Principles, 2nd ed. Butterworth Heinemann ISBN: 9780080970844 

4 A. Croft and R. Davison (2016) Foundation Maths, Prentice Hall ISBN: 9780273729402 

5 John Bird (2017) Basic Engineering Mathematics, Routledge ISBN: 9781856176972