1. A 1500-word problem-based technical report demonstrating application of appropriate measurement and instrumentation techniques, as well as advanced statistical and machine-learning techniques weighted at 40% meeting Learning Outcomes 3 and 4. Assessing AHEP 4 Outcomes C2, C3, C12.

2. A 2-hour written examination focused on advanced mathematical modelling weighted at 60% meeting Learning Outcomes 1 and 2. Assessing AHEP 4 Outcomes C1, C2, and C3.

Formative assessment and feedback will be undertaken during the module to assess and develop student learning.

Professional body requirements stipulate that a minimum overall mark of 40% is required to pass the module, with a minimum mark of 30% required in each element of assessment unless otherwise stated.

- Differential equations (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)
- Fundamentals of Fourier series
- Principles of engineering measurement and instrumentation
- Sensors, transducers, and data acquisition systems
- Measurement error, uncertainty and modelling (Statistical and machine learning)
- Data and model validation and verification
- Health and safety, ethics, and professional standards in laboratory practice

1. Apply advanced mathematical techniques to analyse and solve complex engineering problems (AHEP4: C1, C2)

Programme Learning Outcome: Knowledge and Understanding, Application and Problem-Solving

2. Formulate, develop, and evaluate mathematical models of engineering systems using analytical and numerical techniques (AHEP4: C3)

Programme Learning Outcome: Application and Problem-Solving

3. Apply appropriate measurement and instrumentation techniques to acquire experimental data involving uncertainties and errors. (AHEP4: C12)

Programme Learning Outcome: Application and Problem-Solving, Communication.

4. Apply advanced statistical and machine-learning techniques to analyse complex datasets and generate evidence-based technical decisions. (AHEP4: C2, C3)

Programme Learning Outcome: Knowledge & Understanding, Reflection

This module will enable you to develop understanding, apply knowledge, analyse and evaluate problems, and create solutions through a variety of learning activities, including:

Taught Lectures: To provide a structured introduction to key concepts and underpinning theory.

Tutorials: Interactive sessions designed to reinforce learning, explore concepts in greater depth, and provide opportunities for guided problem-solving and discussion.

Formative opportunities for informal assessment and feedback will take place throughout the module to support learning, monitor progress, and guide development.

Blackboard VLE, Digital learning resources
Formula book
Scientific Calculator
Mathematical Software (e.g. Maple or equivalent)

Bird, J. (2023). Higher Engineering Mathematics (9th ed.). Routledge.

Stroud, K.A. and Booth, D. (2021). Engineering Mathematics (8th ed.). Palgrave.

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

Bentley, J.P. (2022). Principles of Measurement Systems (5th ed.). Pearson.

Coleman, H.W. and Steele, W.G. (2021). Experimentation, Validation, and Uncertainty Analysis for Engineers (4th ed.). Wiley.

The books listed above for mathematics and measurement are recognised standard works in the field, providing rigorous coverage of core and foundational concepts. Although they are not the most recently published texts, they remain widely used and continue to provide essential theoretical grounding, supported by more recent industry publications included in the reading list.

This module develops advanced mathematical methods and practical measurement skills essential for modern engineering practice. Students learn to analyse engineering systems, acquire and interpret experimental data, and communicate results effectively, supporting progression into analytical, design, and testing roles within engineering industries.