Module Texts
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
Module Special Admissions Requirements
Prior study of:
CE61012-4 Mathematical Foundations for Engineers
or
CE61006-4 Quantitative Methods and CE61010-4 Balancing Mathematics for Engineering
Or
equivalent
Knowledge of a software package such as MAPLE or MATLAB
Module Resources
MAPLE and MATLAB
Module Indicative Content
Use of a mathematical software package such as MAPLE or MATLAB.
Differential Equations (general definition, simple examples, numerical solutions).
Laplace transforms (including partial fractions and use of tables, second-order differential equations and simple first-order equations using the Dirac and Heaviside functions).
Z-transforms (including the solution of simple difference equations).
Eigenvalue analysis with Applications (simplifying linear systems, solving systems of differential equations).
Fourier analysis (including the use of Fourier series to obtain a frequency analysis of periodic functions and Fourier transforms for transient functions). An elementary analysis of the application of Fourier transforms to filter theory.
Module Additional Assessment Details
1. An assignment weighted at 25% assessing learning outcomes 3 and 4.
2. A class test weighted at 75% assessing learning outcome 1, 2 and 4.
1. The COURSEWORK will be an assignment, comprising milestones, where reasonably sophisticated problems and techniques are implemented using a mathematical package. This will cover learning outcomes 3 and 4.
2. The CLASS TEST will comprise 3 class tests, equally weighted, each of duration 1 hour 40 minutes, to assess the application of the techniques to problems and the interpretation of the solutions. This will cover learning outcomes 1, 2 and 4.
Module Learning Strategies
The material will be introduced over 72 hours consisting of lectures (48 hours) and examples classes, tutorials and practicals in groups of no more than 20 students, (24 hours) together with supplementary MAPLE material.
This will usually be delivered as 2 lectures and 1 tutorial/practical per week.