Please note - Swinburne University of Technology
Please note - Swinburne University of Technology
Please note - Swinburne University of Technology
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Subject description<br />
The analysis <strong>of</strong> variance: revision <strong>of</strong> inference for two<br />
independent groups.<br />
The analysis <strong>of</strong> variance for single-factor completely<br />
randomised designs, randomised blocks, and two-factor<br />
equally replicated designs.<br />
Non-parametric methods; planned and unplanned<br />
comparisons.<br />
Design <strong>of</strong> experiments, blocking, the 2" and fractional 2"<br />
designs.<br />
Multiple Linear Regression: the linear model with several<br />
predictors.<br />
Assumptions for ordinary least squares, methods for<br />
checking the assumptions, including normal probability plots,<br />
residual plots, the lack-<strong>of</strong>-it test and the Durbin-Watson test<br />
for autocorrelation, outliers.<br />
Computer packages such as Minitab and SAS may be used.<br />
References<br />
Brook. R.J. and Arnold, G.C. Applied Regression Analysis and<br />
Experimental Design. New York: Dekker, 1985<br />
Dunn. O.J. and Clark, V.A. Applied Statistics: Analysis <strong>of</strong> Variance and<br />
Regression. 2nd ed, New York: Wiley, 1987<br />
Groenweld, R.A. Introductory Statistical Methods Boston: M-Kent.<br />
1988<br />
Mendenhall, W. and McClave. J.T. A Second Course in Business<br />
Statistics: Regression Analysis. San Francisco: Dellen. 1981<br />
Wonnacott, T.H. and Wonnacott, R.J. Regression; A Second Course in<br />
Statistics. Malabar, Fla.: Krieger, 1986<br />
5~485 Distribution Theory and Estimation<br />
10.0 credit points<br />
No. <strong>of</strong> hours per week: three hours<br />
Prerequisites: SM384<br />
Assessment: testslexamination and assignments<br />
A second-year subject <strong>of</strong> the degree courses in mathematics<br />
and computer science and applied and industrial<br />
mathematics.<br />
Subject description<br />
Probability distributions: Cauchy and Weibull.<br />
Moments <strong>of</strong> probability distributions: central and about the<br />
origin.<br />
Properties <strong>of</strong> probability distributions: moment-generating,<br />
characteristic, likelihood and log-likelihood - functions (discrete<br />
and continuous cases).<br />
Concepts <strong>of</strong> point and intelval estimation.<br />
Estimators and their properties: bias, mean square error,<br />
relative efficiency, consistency, sufficiency, pivotal qualities.<br />
Finding estimators by methods <strong>of</strong> maximum likelihood,<br />
moments and least squares.<br />
Computer packages such as Minitab and SAS may be used.<br />
Textbooks and References<br />
To be advised<br />
SM487 Queueing Theory and Simulation<br />
10.0 credit points<br />
No. <strong>of</strong> hours per week: three hours<br />
Prerequisites: nil<br />
Assessment: assignments and examination<br />
A second-year subject <strong>of</strong> the degree courses in mathemati=<br />
and computer science and applied and industrial<br />
mathematics.<br />
Subject description<br />
Queueing theory, simulation, applications to computers,<br />
inventory models and scheduling.<br />
Computer packages such as Lotus 123lPROPS and SAS,<br />
SASIOR may be used.<br />
References<br />
Journal <strong>of</strong> the Operational Research Society<br />
Ravindran, A., Phillips, D.T. and Solberg, J.J. Operations Research,<br />
Principles and Practice. 2nd ed, New York: Wiley, 1987<br />
Winston, W.L. Operations Research Applications and Algorithms. 2nd<br />
ed, Boston: M-Kent, 1991<br />
SM488<br />
Financial Modelling<br />
10.0 credit points<br />
No. <strong>of</strong> hours per week: three hours<br />
Prerequisites: nil<br />
Assessment: assignments and examination<br />
A second-year subject <strong>of</strong> the degree courses in mathematics<br />
and computer science and applied and industrial<br />
mathematics.<br />
Subject description<br />
Financial mathematics and models, replacement theory,<br />
corporate models, applications in banking.<br />
Computer packages such as Lotus 123 may be used.<br />
Textbooks and References<br />
Bell, A. (ed.) lntroductory Accounting and Finance for Management.<br />
RMIT and PIT Accounting Departments, 1990<br />
Journal <strong>of</strong> the Operational Research Society<br />
Osgood, W.R. and Curtin, D. Preparing Your Business Plan with Lotus<br />
1-23, Berkeley, Calif.: Osborne McGraw Hill, 1986<br />
Stermole, F. Economic Evaluation and lnwstment Decision Methods.<br />
7th ed, Colorado: Investment Evaluations Corporation, 1990<br />
SM504 Project Management B<br />
50.0 credit points<br />
No. <strong>of</strong> hours per week: three hours<br />
Assessment: tests, assignments, written and<br />
verbal project reports, participation in tutorial<br />
classes and project teams<br />
A third-year subject <strong>of</strong> the degree course in mathematics<br />
and computer science.<br />
Subject description<br />
Applied researchlproject management<br />
Further topics in the theory and practice <strong>of</strong> project<br />
management: decision-making; types <strong>of</strong> decisions; how to<br />
make decisions.<br />
Guest speakers from industry may be used. Tutorial classes<br />
are based on further experiential exercises in organisational<br />
behaviour following on from Project Management A.<br />
Introduction to marketing<br />
Students usually working in groups, prepare and present a<br />
marketing strategy for a nominated player in a specific<br />
market.<br />
SM525 Operations Research 5<br />
10.0 credit points<br />
No. <strong>of</strong> hours per week: three hours<br />
Assessment: examination, assignment<br />
A third-year subject <strong>of</strong> the degree course in mathematics<br />
and computer science.<br />
Subject description<br />
Dynamic programming<br />
lntroduction to dynamic optimisation: recursive algorithm;<br />
computational procedures; forward and backward<br />
computations; stochastic problems; final value problems;<br />
infinite,horizon problems; the problem <strong>of</strong> dimensionality;<br />
applications and case studies. Use <strong>of</strong> computer packages<br />
such as PROPS.