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1997 Swinburne Higher Education Handbook

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differential equations. Spaces of vectors and linear equations;<br />

rank, nullspace and range of a matrix. Eigenvalues and<br />

eigenvectors; diagonalisation of simple matrices,<br />

applications. Infinite sequences; infinite series, tests for<br />

convergence. Power series; Taylor and Maclaurin series.<br />

Functions of several variables: linear and quadratic<br />

approximations; stationary points; Taylor polynomials.<br />

SM387 Introduction to Optimisation<br />

10 credit points 3 hours per week Hawthorn Prerequisites:<br />

nil Assessment: assignments and examination<br />

A second year subject in the Bachelor of Applied Science<br />

(Mathematics and Computer Science).<br />

Objectives<br />

This subject aims to enable students to:<br />

formulate and solve large linear programming<br />

problems;<br />

perform sensitivity analysis on the solution to linear<br />

programming problems;<br />

formulate and solve integer programming problems;<br />

formulate and solve linear programming transportation<br />

and assignment problems;<br />

formulate and solve problems using dynamic<br />

programming.<br />

Content<br />

Linear and integer programming, simplex method,<br />

sensitivity analysis, transportation and assignment<br />

algorithms, branch and bound methods, deterministic<br />

dynamic programming.<br />

Computer packages such as SAS/OR, Lotus 123/PROPS<br />

may be used.<br />

Recommended reading<br />

Journal of the Operational Research Society<br />

Ravindran, A., Phillips, D.T. and Solberg, J.J., Operations<br />

Research, Principles and Practice. 2nd edn, New York, Wiley, 1987<br />

Winston, W.L., Operations Research: Applications and Algorithms.<br />

3rd edn, Belmont, Calif., Wadsworth, 1994<br />

SM388 Forecasting and Regression<br />

10 credit points 3 hours per week Hawthorn Prerequisites:<br />

SM185,SM288 Assessmat: tests/examinution and assignmats<br />

A second year subject in the Bachelor of Applied Science<br />

(Mathematics and Computer Science).<br />

0 bjectives<br />

Introduce students to time series forecasting and provide<br />

students with an introduction to different methodologies<br />

and computer packages;<br />

Introduce students to the method and applications of<br />

regression;<br />

Help students tackle real problems;<br />

Give students the opportunity to gain experience in<br />

team working.<br />

Content<br />

Introduction to time series forecasting, data patterns,<br />

moving average methods, exponential smoothing methods,<br />

calculation of seasonal indices using decomposition<br />

methods, ad hoc forecasting methods, measures of accuracy.<br />

Mean Absolute Deviation, confidence intervals, analysis of<br />

error terms, computer packages such as Excel may be used.<br />

Linear (single predictor) regression models, residual plots,<br />

checking of assumptions, tests and confidence intervals for<br />

parameters. Computer packages such as Minitab will be used.<br />

The students working in groups tackle an unstructured case<br />

study related to a practical situation. Reporting is by way of<br />

both oral and written reports.<br />

Recommended reading<br />

Johnson, R. and Bhattacharyya, G., Statistics: Principles and Methoak.<br />

2nd edn, New York, Wiley, 1992<br />

Moore, D.S. and McCabe, G.P., Introduction to the Practise of<br />

Statistics, 2nd edn, New, York, Freeman, 1993<br />

Winston, W.L., Operations Research: Applications and Algorithms. 3rd<br />

edn, Belmont, Calif., Wadsworth, 1994<br />

SM404 Project Management A<br />

10 credit points 3 hoursper week Hawthorn Prerequisite:<br />

nil Assessment: tests, assignments, verbal presentations and<br />

participation in tutorial classes and project teams<br />

A second year subject in the Bachelor of Applied Science<br />

(Mathematics and Computer Science).<br />

Content<br />

Applied research/project management<br />

Project characteristics: project stages; project management,<br />

teamwork leadershiv and the . vroiect , leader: resvonsibilities<br />

* L<br />

of the project leader; project planning; determination of<br />

tasks; scheduling tasks; development of project plan;<br />

monitoring and control of project; benefits of project<br />

management; when to use project management; senior<br />

management's responsibilities, the project leader and the<br />

project team. Guest speakers and management games may be<br />

used. Tutorial classes will be based on experiential exercises<br />

in organisational behaviour.<br />

Internal project<br />

Students, working in groups of four or five, will be required<br />

to undertake a project for a member of staff acting as a<br />

client. Each group will be totally responsible for managing<br />

the project and for bringing it to a successful conclusion.<br />

They will be expected to maintain team meeting notes,<br />

barcharts, etc., and to provide each staff member with<br />

suitable progress reports. In addition, they will be expected<br />

to obtain formal approval for the work that they are<br />

undertaking from the appropriate staff member. Verbal and<br />

written reports will be required at the end of the semester<br />

reporting on the management process and the results of the<br />

project.<br />

Preparation for employment<br />

Review preparation of resumes and interview techniques;<br />

participate in seminars presented by fourth year students<br />

returning from Industry Based Learning.<br />

Recommended reading<br />

Katzenback, Jon R., and Smith D.K., The Wisdom of Teams:<br />

Creating the High-Pwfinance Orgnization, Boston, MA, Harper<br />

<strong>Swinburne</strong> University of Technology <strong>1997</strong> <strong>Handbook</strong> 51 1

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