The material will be introduced over 60 hours consisting of 36 hours lectures and 24 hours tutorial/practical. This will be delivered typically with 1 or 2 lectures per week on alternate weeks together with a tutorial or practical on alternate weeks over the two semesters.

1. Coursework weighted at 50% assessing learning outcomes 3 and 4. This will be a portfolio comprised of assignments using a mathematical package.

2. Test weighted at 50% assessing learning outcomes 1, 2 and 3. This will comprise 2 class tests, equally weighted, of duration 2 hours each.

The test will be the final assessment point

Derivation of the heat equation, Laplace's equation and wave equation and their series solutions.

Numerical methods for solving the heat equation, Laplace's equation and the wave equation.

Topics in advanced calculus e.g. scalar and vector field, div, grad, curl and associated theorems, change of coordinates.

Derivation of the equations of fluid mechanics and their analytic solution for simple cases

Introduction to computational fluid dynamics (cfd)

Prior Study of
CE61021-4 Applied Mathematical Methods
CE62003-5 Mathematical Modelling and Operational Research
or equivalent

Access to Maple on standard University computers.

Jeffery A, Applied Partial Differential Equations: An Introduction. Elsevere Science 2002. ISBN 0 12 382252 1

Farlow S, Partial Differential Equations for Scientists and Engineers, Wiley New York, 1993. ISBN: 978 0 486 67620 3

Morton KW and Mayers DF, Numerical Solution of Partial Differential Equations: An Introduction, 2nd Edition, Cambridge University Press, 2005, ISBN: 0521607930

Elementary Fluid Dynamics, DJ Acheson, Oxford University Press, 1998. ISBN 0 19 859679 0