1. A 1 hour Examination (Exam 1) focused on numeracy and algebra weighted at 50% assessing Learning Outcome 1 and 2. Meeting AHEP 4 Outcome F1.

2. A 1 hour Examination (Exam 2) focused on trigonometry and calculus weighted at 50% assessing Learning Outcome 3 and 4. Meeting AHEP 4 Outcome F1.

Formative Assessment will take place through the module to help to assess student learning and support development.

The Foundation Mathematics module will provide you with a wide range of mathematical techniques which are applied to a variety of engineering problems.

Numeracy:

- Arithmetic operations,
- powers,
- roots,
- percentages,
- ratios,
- measures of location,
- introduction to vectors
- vector operations.

Algebra:

Laws of indices,
- exponentials,
- logarithms,
- factorisation,
- solution of equations,
- transformation of formulae,
- Logarithmic
- exponential functions.

Trigonometry:

- Trigonometric ratios,
- their graphs,
- basic trigonometry formulas,
- solution of simple trigonometric equations,
- polar coordinate system,
- Equations
- graphs of straight lines and curves.

Calculus:

- Differentiation of simple functions,
- application to extrema in engineering problems,
- indefinite and definite integrals.
- Application to a variety of engineering problems.

1. Demonstrate an understanding of fundamental numeracy techniques, measures of location and vector concepts. (AHEP 4: F1)

Programme Learning Outcome: Knowledge & Understanding

2. Apply a range of algebraic concepts, including indices, exponential functions and logarithmic functions to solve mathematical problems. (AHEP 4: F1)

Programme Learning Outcome: Application & Problem-Solving

3. Demonstrate an understanding of trigonometric ratios and their graphical representations and the application of trigonometric methods to solve mathematical problems. (AHEP 4: F1)

Programme Learning Outcome: Knowledge & Understanding

4. Apply differentiation and integration techniques to solve mathematical problems arising in engineering contexts. (AHEP 4: F1)

Programme Learning Outcome: Application & Problem-Solving

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
Formula Book
Scientific Calculator

Bird, J. (2021) Basic Engineering Mathematics, 9th Edition, Routledge, Abingdon.

Croft, A. & Davison, R. (2020) Foundation Maths, 7th Edition, Pearson Education Ltd., Harlow.

Stroud, K.A. & Booth, D.J. (2020) Foundation Mathematics, 8th Edition, Macmillan Publishers Ltd., Basingstoke.

Mathematical tools are indispensable in the field of engineering, serving as essential instruments for tackling practical challenges. Engineers are required to possess problem-solving abilities to design and develop systems and ensure their efficiency, precision, and accuracy. Throughout this module, you will explore a diverse range of mathematical techniques, such as numeracy, algebra, trigonometry, and calculus. These tools are designed to enhance your analytical capabilities and increase your problem-solving skills, equipping you with the necessary expertise for engineering tasks.