Please note - Swinburne University of Technology

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Seminars
Throughout the semester the students will be given the
opportunity to present seminars and to participate in
seminars presented by practitioners from business and
industry.
Textbooks
Department of Mathematics notes
References
To be given by ledurers
SM626 Applied Statistics 6
7.5 credit points
No. of hours per week: three hours
Assessment: testslexamination and assignments
A fourth-year subject of the degree course in mathematics
and computer science.
Subject description
5 Sample Surveys
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Ratio estimation, sampling, equal and unequal clusters, PPS
sampling, cluster homogeneity, weighting for non-response.
Topics in Applied Statistics
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A selection of two or three topics will be made from a
range of current statistical methods such as statistical quality
control, multivariate statistics, econometric methods, nonparametric
methods and design and analysis of experiments.
SM632 Social Change in the Modern World
5.0 credit points
No. of hours per week: three hours
Assessment: assignment, verbal presentation and
media foliolreport
Subject description
The course will consider the rapid nature of technological
and social change in modern industrial society, with
particular stress on the consequences which this has for
man and the environment. Aiming to introduce the student
to some basic concepts in sociology, the focus will be on
alterations which occur in patterns of culture, social structure
and in attitudes and social behaviour.
Reference
Suzuki, D.. Inventing the Future. N.S.W.: Allen and Unwin. 1992
SM684 Time Series Analysis
10.0 credit points
No. of hourj per week: three hours
Prerequisite: SM484
Assessment: testslexarnination and assignments
A third-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.
Subject description
Index numbers, EDA approach to time series - methods of
smoothing. Trend, season, cycle, moving averages,
deseasonalised series. Modelling series - autocorrelation,
lag structures.
Computer packages such as Minitab and SASIETS may be
used.
Textbooks and References
To be advised
5~687 Applications of Modelling
10.0 credit points
No. of hours per week: three hours
Prerequisites: nil
Assessment: assignments and examination
A third-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.
Subject description
A study of two or three areas of applications chosen
according to the expertise available within the Department
or from visiting staff. Topics will vary from year to year, with
the emphasis being on the application area rather than
particular techniques. Areas include sport, agriculture,
environmental modelling, marketing, superannuation, social
statistics, manufacturing, distribution, and artificial
intelligence.
Textbooks and References
Journal of the ~~efational Research Society
To be advised
SM688 Mathematical Programming
10.0 credit points
No. of hours per week: three hours
Prerequisite: SM487
Assessment: assignments and examination
A third-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.
Subject description
Linear and integer programming, duality, parametric
programming, non linear programming, geometric
programming.
Computer packages such as SASlOR may be used.
Textbooks and References
Journal of the Operational Research Society
Ravindran, A,, Phillips, D.T. and Solberg, J.J. Operations Research,
Principles and Practice. 2nd ed, New York: Wiley, 1987
Winston, W.L. Operations Research Applications and Algorithms. 2nd
ed, Boston: PWS-Kent, 1991
SM689 Decision Analysis
10.0 credit points
No. of hours per week: three hours
Prerequisites: nil
Assessment: assignments and examination
A third-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.
Subject description
Decision making under uncertainty, utility theory, bayes rules
and decision trees. Multiple objective decision making, goal
programming, multi-criteria decision problems, multi-attribute
utility theory, analytical hierarchy process, applications and
packages, recent advances.
Computer packages such as EC(AHP packages) and Lotus
123lPROPS may be used.
References
Adair, J. Management Decision Making. Aldershot. Atlantis: Gower,
1985
Baird, B.F. Management Decision Under Uncertainty: An Introduction.
New York: Wiley, 1989
Davis, M. The Art of Decision Making. New York: Springer. 1986
Frankel, E.G. Systems Reliability and Risk Analysis. 2nd ed. Dordrecht:
Kluwer, 1988
Journal of the Operations Research Society
Saaty, T.L. Decision Making: The Analytical Hierarchy Process.
Pittsburgh: T.L. Saaty, 1988