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1997 Swinburne Higher Education Handbook

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for screening, prevalent and incident cases, quality of<br />

screening test.<br />

Recommended reading<br />

To be advised.<br />

Computer packages<br />

To be advised.<br />

SM758 Analysis of Risks and Rates<br />

12.5 credit points 4 houn per week Hawthorn Prerequisites:<br />

SM754 and 94756 Assessment: assignments and a test<br />

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

Science (Health Statistics)<br />

Objectives<br />

To develop critical skills in the evaluation of health and<br />

medical literature on risks and rates with an emphasis on<br />

statistical and methodological analysis.<br />

Content<br />

Topics will be chosen from:<br />

Analysis of risks: the binomial distribution, risk<br />

estimates, confidence intervals for proportions, risk<br />

differences, z-test and chi-square test, confidence interval<br />

for a difference, risk ratios, odds ratios, confidence<br />

interval for an odds ratio. Logistic regression.<br />

Determination of sample size.<br />

Analysis of rates: the Poisson distribution, rate estimates,<br />

confidence interval for a rate, rate ratios and confidence<br />

intervals for a rate ratio. Poisson regression.<br />

Determination of sample size.<br />

Recommended reading<br />

To be advised.<br />

Computer packages<br />

To be advised.<br />

SM1200 Mathematics 1<br />

10 credit points per semester 4 hours per week (2 sems)<br />

Hawthorn Assessment: tests/oraminations and assignments<br />

Prwequisites: nil<br />

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

(Computing and Instrumentation)<br />

Content<br />

Vectors in two- and three-dimensional space.<br />

'<br />

Introduction to numerical methods; errors; solution of<br />

equations.<br />

Coorindate geometry in Cartesian coordinates.<br />

0<br />

-.<br />

Standard functions and their graphs; finite and infinite<br />

r limits.<br />

Differentiation and its applications; optimisation;<br />

approximations; Taylor polynorninals.<br />

Integration and its applications; numerical integration.<br />

Polar coordinates, complex numbers. Ordinary differential<br />

equations.<br />

Vector functions and functions of many variables.<br />

Data analysis and probability.<br />

Recommended reading<br />

To be advised.<br />

Prescribed Calculator:<br />

Texas Instruments Advanced Scientific TI-82 Graphics Calculator<br />

SM1208 Mathematics<br />

10 credit points per sem. 4 hours per week (2 sems)<br />

Hawthorn Assessment: tests, examination and assignments<br />

Prerequisites: nil<br />

A first year subject int he Bachelor of(Chemistry adn<br />

Biochemistry)<br />

Content<br />

Vectors in two- and three-dimensional space.<br />

Introduction to numerical methods; errors; solution of<br />

equations.<br />

Coordinate geometry in Cartesian coordinates.<br />

Standard functions and their graphs; finite and infinite<br />

limits.<br />

Differentiation and its applications; optimisation;<br />

approximations; Taylor polynominals.<br />

Integration and its applications; numerical integration.<br />

Linear algebra, first order differential equations and<br />

functions of several variables.<br />

Descriptive statistics, the MINITAB computer package,<br />

probability, distributions bionominal, Poisson and normal.<br />

Hypotehsis tests and confidence intervals, regression and<br />

correlation applications to chemistry.<br />

Recommended reading<br />

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

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

SM12 1 0 Mathematics<br />

10 credit points per semester 4 hours per week (sems 1 G 2).<br />

Hawthorn Prerequisites: nil Assessment: tests,<br />

examinations and assignments<br />

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

(Computer Science and Software Engineering)<br />

Ob jedives<br />

To provide students with mathematical and statistical<br />

knowledge and skills essential for concurrent first year studies.<br />

To enable students with ability and interest further to<br />

develop their mathematical knowledge and skills.<br />

To reinforce and develop mathematical communication<br />

skills and problem solving skills.<br />

To provide students with additional mathematical and<br />

statistical understanding and background material which<br />

may be required.<br />

To demonstrate where mathematics and statistics can be<br />

applied to practical situations.<br />

Content<br />

Vectors in two- and three-dimensional space.<br />

Introduction to numerical methods; errors; solution of<br />

equations.

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