This module covers the following range of techniques used to analyse engineering systems and to design, predict or control their responses:

• Differential equations (general definition, first and second order, numerical solutions)
• Laplace transforms (including partial fractions and use of tables, second-order differential equations and simple first-order equations incorporating Heaviside functions)
• Eigenvalue analysis with applications (simplifying and solving coupled systems of linear differential equations)

• Introduction to Fourier Series
• Use of a mathematical software

A 1-hour test weighted at 30% assessing Learning Outcomes 1, 2 and 4. Meeting AHEP 4 Outcomes: C1, C2

A 500-word assignment based on the use of a mathematical software to solve problems, weighted at 30% assessing Learning Outcomes 1, 2, 4 and 5. Meeting AHEP 4 Outcomes: C1, C2, C3.

A 1.5-hour exam weighted at 40% assessing Learning Outcomes 1, 2, 3 and 4. Meeting AHEP 4 Outcomes: C1, C2.



Professional Body requirements mean that a minimum overall score of 40% is required to pass a module, with each element of assessment requiring a minimum mark of 30% unless otherwise stated.

Whole group lectures will be used to deliver new material and to consolidate previous material.

Small-group tutorials, with activities designed to enhance the understanding of the material delivered in the lectures, will be used to apply the skills and knowledge learned.

1. Explain and demonstrate fundamental mathematical techniques required to model engineering systems and develop solutions/responses.¿(AHEP 4: C1, C2)

Knowledge and Understanding,
Application,
Problem Solving.


2. Select and apply appropriate techniques to solve differential equation models of engineering systems. (AHEP 4: C1)

Knowledge and Understanding,
Application.
Problem Solving.


3. Use Fourier series to obtain a frequency analysis of periodic functions. (AHEP 4: C1)

Knowledge and Understanding,
Analysis.


4. Interpret and communicate effectively the solutions/responses obtained.¿(AHEP 4: C2)

Knowledge and Understanding,
Application,
Communication.


5. Implement techniques using mathematical software. (AHEP 4: C3)

Knowledge and Understanding,
Application,
Problem Solving.

James, G. et al (2018), Advanced Modern Engineering Mathematics, Pearson Education

Singh, K. (2011), Engineering Mathematics through Applications, Palgrave Macmillan
Stroud, K. A. & Booth, D. (2020), Engineering Mathematics, Red Globe Press
Stroud, K. A. & Booth, D. (2020), Advanced Engineering Mathematics, Red Globe Press

Blackboard VLE

Scientific Calculator

Mathematical Software (e.g. Maple)

This module will provide students with sufficient mathematical tools and techniques to tackle a variety of engineering problems.