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 and vector operations.

Algebra: Laws of indices, exponentials, logarithms, factorisation, solution of equations, transformation of formulae, logarithmic and exponential functions.

Trigonometry: trigonometric ratios, their graphs, solution of simple trigonometric equations, polar coordinate system, equations and graphs of straight lines and curves.

Calculus: differentiation of simple functions, application to extrema in engineering problems, indefinite and definite integrals.

A 1.5- hours Examination (Exam 1) weighted at 50% assessing Learning Outcomes 1¿and 2. Meeting AHEP 4 Outcome F1.

A 1.5- hours Examination (Exam 2) weighted at 50% assessing Learning Outcomes 3 and 4. Meeting AHEP 4 Outcome F1.

The module will be taught through lectures, small group tutorials, and Excel practical sessions to underpin knowledge and illustrate graphical solutions when mathematical/algebraic techniques are introduced/applied. A total of 48 hours of contact time will be used.

You will be expected to engage in 152 hours of independent study where you will prepare for your taught sessions and your assessments. This will also allow you to reflect on your current learning and practices, acquire a deeper knowledge of key mathematical techniques, and start developing ideas generated during the taught sessions.

1. Understand and apply basic numeracy techniques, location measure and vector concepts to solve mathematical problems. (AHEP 4: F1)

Knowledge & Understanding

Learning

Problem solving

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

Knowledge & Understanding

Learning

Problem solving

Application

3. Understand the trigonometric ratios and their graphs and apply trigonometric tools to solve mathematical problems. (AHEP 4: F1)

Knowledge & Understanding

Learning

Problem solving

4. Understand and apply differentiation and integration techniques to solve mathematical problems that arise in engineering. (AHEP 4: F1)

Knowledge & Understanding

Learning

Problem solving

Application

Blackboard VLE¿

Formula book

Scientific Calculator

Bird, J. (2017) Basic Engineering Mathematics, 7th Edition, Routledge, Abingdon.

Croft, A. & Davison, R. (2016) Foundation Maths, 6th 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.