Basic mathematics (transposition of formulae, algebraic fractions, logarithms).
Complex Numbers.
Introduction to matrices and solving linear equations (including complex coefficients).
Trigonometry (addition theorems, combining waveforms).
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.)
Differential Equations. Laplace transforms (including partial fractions and use of tables, second-order differential equations and simple first-order equations using the Dirac and Heaviside functions).
Fourier analysis (including the use of Fourier series to obtain a frequency analysis of periodic functions and Fourier transforms for transient functions).

This module is zero credit rated. You will be required to demonstrate engagement with the module and may be withdrawn from the module (and consequently the whole award) if you do not meet the engagement requirements. Engagement will be demonstrated through attendance, contributions to the taught sessions, the satisfactory completion of a series of formative assessment will take the form of weekly homework tutorials to be completed within a short timescale and summative assessment. The summative assessments will be undertaken by means of three 1hr online multiple-choice tests undertaken through Blackboard. These tests will be timed to assess different sections of the module content. In addition to their summative value these will provide the opportunity for formative feedback to the students and give opportunity for remedial work guided by the lecturer.

Students are required to commit to 150 learning hours of which 40 hours will consist of contact time. The work will be divided into topic areas with one delivered each week. Typically there will be a 1 hour lecture each week as a discussion of the subject under consideration. This will be followed by a second 1hr lecture during which the lecturer will demonstrate worked examples of the topic applied to engineering situations. The final 1hr will be a tutorial in which students can work through applied examples on their own under the guidance of the lecturer.

The tutorial/practical sessions will allow students to develop their understanding of the material covered in the lectures through problem solving supported/undertaken by the use of software where appropriate.

Advanced Modern Engineering Mathematics, Glyn James et al, (2010), Prentice Hall (2010), ISBN-10: 0273719238 ISBN-13: 978-0273719236

Engineering Mathematics, K A Stroud and J Booth Dexter, Palgrave Macmillan (2007), ISBN-10: 1403942463 ISBN-13: 978-1403942463

Advanced Engineering Mathematics, Stroud and J Booth Dexter, Palgrave Macmillan (2011), ISBN-10: 0230275486 ISBN-13: 978-0230275485

Engineering Mathematics through Applications, Kuldeep Singh, Palgrave Macmillan (2011), ISBN-10: 023027479X ISBN-13: 978-0230274792

Appropriate mathematical, statistical, and simulation software such as Maple, SPSS, and Witness.

Student must be enrolled on the Extended MSc Engineering award.