1. A professional skills portfolio covering personal development, reflection on skills gaps, goal and objective setting and reflective practice weighted at 30%, with a word count of 1,500 words, assessing Learning Outcomes 3 and 4. This assessment meets AHEP 4 Outcomes C15, C16, C17, and C18.

2. A 2-hour written exam covering mathematical topics weighted at 70% assessing Learning Outcomes 1 and 2. This assessment meets 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.

- Algebra: transposition of formulae, algebraic fractions, solution of equations
- Trigonometry: solution of trigonometric equations; combining waveforms
- Complex Numbers: basic operations; polar and exponential form; powers using DeMoivre’s Theorem
- Introduction to matrices: basic operations; solving systems of linear equations
- Introduction to probability: rules of probability; probability trees; conditional probability; Bayes Theorem
- Probability distributions: Binomial Distribution; Poisson Distribution; Normal Distribution
- Calculus: Standard differentiation results; Product, Quotient and Chain Rules; definite and indefinite integrals; - Simple engineering applications of differentiation and integration
- Partial Differentiation: Standard results; application to stationary points in 3-dimensions
- Real-world engineering problem formulation and analysis using mathematical techniques
- Professional communication and technical report writing
- Referencing
- Self-Awareness
- Resilience
- Personal Profile and Employability
- Goal Setting and Objectives
- Reflective Practice and Critical Thinking
- Project planning and time management
- Sustainability and professional responsibility in engineering
- Continuing Professional Development

1. Apply appropriate mathematical techniques to analyse and solve well-defined engineering problems (AHEP4: C1, C2)

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

2. Use mathematical and statistical methods to solve structured engineering systems and interpret results (AHEP4: C3)

Programme Learning Outcome: Application and Problem-Solving

3. Reflect on your own personal skill level, develop objectives for personal development and communicate these in a format that is understandable to technical and non-technical audiences (AHEP 4: C17)

Programme Learning Outcome: Communication, Reflection

4. Demonstrate effective professional working practices appropriate to engineering disciplines in a continuing professional development context (AHEP 4: C15, C16, C18)

Programme Learning Outcome: Personal Development & Entrepreneurship

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

Bird, J. (2021); Bird’s Basic Engineering Mathematics, 8th Edition, Routledge, Abingdon.

Singh, K., (2011); Engineering Mathematics through Applications, 2nd Edition, Palgrave Macmillan.
Stroud, K.A. & Booth, D.J. (2020); Foundation Mathematics, 8th Edition, Macmillan Publishers Ltd., Basingstoke.

Retz, K. (2019); The professional skills handbook for engineers and technical professionals. CRC Press.

The books listed above for mathematics 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 your core mathematical techniques and professional skills essential for engineering study and practice. It enables you to apply mathematics to real-world engineering problems while developing communication, teamwork, and ethical awareness aligned with professional engineering standards.