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1996 Swinburne Higher Education Handbook

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SM710 Advanced Mathematical<br />

Programming<br />

12.5 credit points 4 hours per week Hawthorn Assessment<br />

assignments and examination<br />

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

(Honours and Mathematics)<br />

0 bjectives<br />

To introduce students to both the theoretical and<br />

computational aspects of mathematical programming.<br />

Content<br />

Topics selected from: basic convex analysis, minimization<br />

conditions, descent methods, Quasi-Newton methods,<br />

conjugate direction methods, Levenberg-Marquardt method,<br />

constrained minimization, parametric programming and<br />

sensitivity, integer programming, interior . point . and related<br />

methods, geometric programming, quadratic programming,<br />

separable problems in NLP, non smooth techniques, goal<br />

programming.<br />

Recommended reading<br />

Dennis, J.E. and Schnable, R.B., Numerid Merhodsfor<br />

Unconstrained Optimization and Nonlimr Equations. Englewood<br />

Cliffs, N.J., Prentice Hall, 1983<br />

Fletcher, R., Practical Methods of Optimiuttion. 2nd edn, Chichester,<br />

Wiley, 1987<br />

Gill,P., Murray, W. and Wright, M., Pructical Optimization.<br />

London, Academic Press, 1981<br />

Computer software<br />

SAS/OR, MATLAB.<br />

SM711 Research Project<br />

12.5 credit points (sem. 1) 25.0 credit points (sem. 2) No<br />

ford hours Hawthorn Assessmat studmts will submit<br />

written halfsemester reports to the supervisor, a written minor<br />

thesis (lli,000 words) 70%, a a&/ examination 20%, a seminar<br />

presentation to staffand students 10% Based on the above a grade<br />

and score will be awarded by the su&t panel<br />

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

(Honours in Mathematics)<br />

Objectives<br />

To define, plan and carry out a research or industrial<br />

project. Submit a minor thesis.<br />

Content<br />

Content will vary from student to student depending on the<br />

particular project undertaken.<br />

Recommended reading<br />

Moses, L, Supervising Postgraduates. Kensington, N.S.W., HERDSA<br />

SM732 Survey Research Methods<br />

12.j credit points 4 hourspw week Hawthorn<br />

Prerequisites: SM750, W751<br />

A first year subject in the Graduate Certficate and Graduate<br />

Diploma of Applied Science (Social Statistics)<br />

Content<br />

This subject aims to enable students to identify and<br />

understand some of the methodologies used in survey<br />

research. It includes an overview of the procedures used in<br />

survey research, a descriptive approach to methods of<br />

sampling and data collection methods including<br />

questionnaire design and interview techniques (personal and<br />

telephone) mail surveys and census methods survey report<br />

writing and presentation. Other topics may include data<br />

processing including entering, coding, quality control and<br />

analysis of multiple response questions.<br />

Recommended reading<br />

To be advised.<br />

SM733 Demographic Techniques<br />

12.5 credit points 4 hours per week Hawthorn Prerequisite:<br />

SM742<br />

A second year subject in the Graduate Diploma of Applied<br />

Science (Health Statistics and Social Statistics)<br />

Objectives<br />

This subject aims to give an understanding of the basic<br />

methods of demographic analysis and to develop an<br />

awareness of the social implications of demographic data.<br />

Content<br />

It will include topics chosen from the following: sources of<br />

demographic data. Census data and use of CD ROM<br />

technology such as CDATA91. Population processes, births<br />

and deaths, size and distribution, mobility, spatial patterns<br />

and models for regional demographic analysis may be<br />

included. Indicators and benchmarks, projections and<br />

forecasts.<br />

Recommended reading<br />

To be advised.<br />

SM735 Survey Sampling<br />

12.5 credit points 4 hours per week Hawthorn<br />

A second year subject in the Graduate Diploma of Applied<br />

Science (Social Statistics)<br />

0 biectives<br />

Introduce basic methods for sample survey design and<br />

analysis.<br />

Provide practical examples of designing simple sample<br />

surveys.<br />

Content<br />

The basic designs for sample surveys: simple random<br />

samping, stratified sampling, systematic sampling and cluster<br />

sampling.<br />

Estimators for the mean total and proportion for simple<br />

random samples and stratified samples; variance estimation.<br />

The design effect; sample size determination; EPSEM<br />

samples<br />

Ratio estimation;<br />

Cluster sampling, . . multi-stage sampling, PPS sampling;<br />

variance estimation.<br />

Recommended reading<br />

Cochran, W.G., Sampling Techniques. New York, Wiley, 1977<br />

Jolliffe, F.R. Survey Design and Analysis. Chichester, Ellis,<br />

Horwood, 1986

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