Prior study of CE61012-1 Mathematical Foundations for Engineers, or CE61015-1 Mathematical Foundations, or equivalent.

Access to MAPLE on standard University computers.

The material will be introduced through lectures (2 hours per week), examples classes, tutorials and practicals (1 hour per week) in groups of no more than 20 students, together with supplementary MAPLE material to be accessed via the web.
(1:n)2 (1:20)1

THIS MODULE WILL NORMALLY RUN IN SEMESTER 1

Advanced applications of a mathematical software package such as MAPLE (introduction and the use in all of the other topics).
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).

1. In-course assessment weighted at 50% assessing learning outcomes 1and 3.
2. A 2 hour exam weighted at 50% assessing learning outcome 2.

1. The in-course assessment will be a portfolio comprising of one class test (length 1 hour) to assess the basic techniques and an assignment using a mathematical package to assess the implementation to more sophisticated problems and techniques. This will cover learning outcomes 1 and 3.

2. A final exam (2 hours) to assess the application of the techniques to problems and the interpretation of the solutions. This will cover learning outcome 2.

Advanced Modern Engineering Mathematics, Glyn James et al, (2003), Addison Wesley, ISBN: 0130454257
Engineering Mathematics, K A Stroud and J Booth Dexter, Palgrave (2001), 0333919394