Registry

Module Specifications

Archived Version 2004 - 2005

Module Title	Engineering Computation III
Module Code	MM281
School	School of Mechanical and Manufacturing Engineering
Online Module Resources
Module Co-ordinator	Dr Alan Kennedy	Office Number	S367
Level	2	Credit Rating	5
Pre-requisite	MM181, MM182
Co-requisite	None

Module Aims

1. To introduce advanced numerical methods. 2. To cover the use of Excel for the solution of engineering problems.

Learning Outcomes

After completing the module students should be able to: 1. Efficiently create Excel spreadsheets for the solution of engineering problems. 2. Implement numerical methods in Excel and use Excels built-in calculation facilities. 3. Understand a range of numerical methods and their limitations.

Indicative Time Allowances
	Hours
Lectures	24
Tutorials	24
Laboratories	0
Seminars	0
Independent Learning Time	27

Total	75
Placements
Assignments

NOTE

Assume that a 5 credit module load represents approximately 75 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus

· Solving sets of linear equations - Thomas algorithm - ill-conditioned systems - iterative improvement - Gauss-Seidel Method · Root-finding - optimisation - golden section search - steepest descent method · Solution of ODEs - Second-Order equations - systems of equations - Runge-Kutta methods - step-size control - interval-halving - stiff ODEs and ill-conditioned problems · Boundary-Value Problems- Shooting Method - Finite-difference method · Eigenvalues - Power method · Interpolation - polynomial fits - Vandermonde matrices - Newton's difference method · Solution of Elliptic PDEs using central difference method · Use of Excel for engineering calculations and data presentation · Introduction to Macro programming in Excel