Preliminaries (completing the square, partial fractions, Heaviside functions).
First and second order differential equations (general definitions, simple examples, numerical solution).
Laplace transforms (partial fractions and use of tables, solving first and second-order differential equations, Dirac and Heaviside functions).
Eigenvalue Analysis (calculation of eigenvalues and eigenvectors, solving coupled systems of differential equations)
Fourier Transforms (use of tables and properties, elementary analysis of filter theory)

1. A multi-choice test weighted at 30% assessing learning outcome 1 and comprising three 45 minute on-line tests
2. A 2 hour written end test weighted at 70% assessing learning outcomes 1-3

The end test is the final assessment

You will be provided with material through the Blackboard VLE platform. Material will be presented via a mixture of printable handouts, presentations and videos that will include both theory and worked examples. You will be required to keep up-to-date with the schedule and work through the tutorial questions to consolidate understanding. Support will be provided via a discussion group on Blackboard and contact with Module Tutors via telephone and/or video call (e.g. Blackboard Collaborate).
It is expected that you allocate a minimum of 4 hours to engage and interact with your Module Tutors and peers on the module (including 1 hour of online test) and 146 hours on independent learning activities.

Full Text Online:
Bird, J. (2010) Engineering Mathematics, 6th Edition, Elsevier.
James, G. (2015) Modern Engineering Mathematics, 5th Edition, Pearson Education.
Bird, J. (2010) Higher Engineering Mathematics, 6th Edition, Elsevier.
James, G. (2016) Advanced Modern Engineering Mathematics, 4th Edition, Prentice Hall.

Available in the Library:
Stroud, K.A. & Booth D.J. (2013) Engineering Mathematics, 7th Edition, Palgrave Macmillan
Stroud, K.A. & Booth, D.J., (2011) Advanced Engineering Mathematics, 5th Edition, Palgrave Macmillan.
Singh, K., (2011) Engineering Mathematics through Applications, 2nd Edition, Palgrave Macmillan.
Kreyszig, E. (2011) Advanced Engineering Mathematics, 10th Edition, John Wiley and Sons.

Students will need to ensure that they have access to a computer with webcam facilities.

Prior study of Engineering Mathematics 1 (DL) or equivalent. Students must be enrolled on an MOD Engineering Foundation Degree.

1. Apply mathematical techniques used in the solving of differential equations.
(APPLICATION, ANALYSIS, PROBLEM SOLVING)

2. Solve differential equations using appropriate methods, and interpret the solution found.
(APPLICATION, ANALYSIS, PROBLEM SOLVING, REFLECTION, COMMUNICATION)

3. Determine Fourier Transforms of functions using properties and solve simple filter examples.
(APPLICATION, ANALYSIS, PROBLEM SOLVING)