In this module you will be encounter the following range of mathematical methods and techniques that will enable you to think analytically and solve simple engineering problems:

• Basic mathematics (transposition of formulae, algebraic fractions, logarithms).
• Trigonometry (addition theorems, combining waveforms).
• Complex Numbers.
• Introduction to matrices and solving linear equations (including complex coefficients).
• Basic probability (rules of probability, conditional probability, discrete distributions).
• Basic calculus (Theory of differentiation, derivatives of simple functions).
• Advanced calculus (The theory of integrals, integrals as areas, numerical methods, partial differentiation, stationary points.)

This module will enable students to gain understanding, apply knowledge, analyse and evaluate problems and create solutions through a variety of activities, including lectures, example classes and small group tutorials.

James, G. (2010) Modern Engineering Mathematics, 4th Edn., Pearson Education
Singh, K. (2011) Engineering Mathematics Through Applications, Palgrave, Macmillan

Teaching room facilities (pc, projector, visualiser)

Admissions requirements A-Level Maths or equivalent

1. Be able to define, describe and reproduce a range of mathematical techniques, including, algebra, trigonometry, complex numbers, basic probability and calculus. (AHEP 3: SM2b, G1)

2. Apply a range of basic mathematical process and techniques to solve typical problems in engineering. (AHEP 3: SM2b, G1)

3. Demonstrate an ability to apply calculus method to a range of engineering problems in one dimension (eg kinematics, max/min, mean value, numerical integration) and two dimensions (eg stationary points, total derivative). (AHEP 3: SM2b, G1)

Test comprising a suite of 3 equally weighted 1.5 hr tests assessing Learning Outcomes 1-3. Meeting AHEP 3 Outcomes SM2b, G1.