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

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

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)
Application Knowledge & Understanding Problem Solving

1) Class Test 1-hour, weighted at 20% (learning outcomes 1 & 2)
2) Class test 1.5hrs, weighted at 40% (learning outcomes 1, 2 & 3)
3) Class test 1.5hrs, weighted at 40% (learning outcomes 1, 2 & 3)

The three tests meet AHEP 3 Outcomes SM2b, G1.

Practice formative class tests will be undertaken during the module and formative guidance and feedback will be provided in tutorial sessions within the class.

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, distance learning, 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

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