Please note - Swinburne University of Technology

~ ~ 7 0 4 Mathematical Methods
12.5 credit points
No. of hours per week: four hours (total 56 hours)
Instruction: class teaching
Assessment: assignments 30%, examination 70%
Subject aims
To introduce some areas of modern mathematics and their
application in numerical methods.
Subject description
A selection of topics from real and functional analysis, linear
algebra, complex variables.
References.
Barnett, S. and Cameron, R.G. Introduction to Mathematical Control
Theory. 2nd edn, Oxford, Clarendon Press, 1985
Gantmacher, 'R. The Theory of Matrices. Vol. I and IN, Chelsea, Bronx, 1959
Hauser, A.A. Complex Variables with Physical Applications. New York,
Simon and Schuster, 1971
Hoffman, K. Analysis in Euclidean Space. Englewood Cliffs, N.J.,
Prentice Hail, 1975
Lancaster, P. Theory of Matrices. 2nd edn, Orlando, Academic Press, 1985
Mukherjea, A. Real & Functional Analysis. Vol. 1 & 2, 2nd edn, New
York, Plenum Press, 1984-1986
Rade, L. and Westergren, B. Beta Mathematics Handbook. 2nd edn,
Boea Raton, CRC Press, 1990
Spiegel, M.R. Theory and Problems of Complex Variables. 2nd edn,
New York, McGraw-Hill, 1974
5. Computer software
2. MATLAB.
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2. ~ ~ 7 0 5
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Computing Techniques and
Packages
12.5 credit points
No. of hours per week: four hours (total 56 hours)
Instruction: class teaching, individual study
program, workshops and computer laboratory
sessions
Assessment: assignments 50%, examination 50%
o Subject aim
. To provide an indepth study of some computing languages and
packages relevant to a students course of study.
Subject description
A selection of topics from C, Mathematica. Mathcad, SIR, SAS,
SASIOR, SASIGRAPH, SASIIML, SASIETS, FIDAP, SIMAN,
MATLAB or other relevant packages.
References
Relevant manuals.
~ ~ 7 0 6 Decision and Risk Analysis
12.5 credit points
No. of hours per week: four hours (total 56 hours)
Instruction: class teaching, workshops and
computer laboratory sessions
Assessment: assignments 50%, examination 50%
Subject aims
To present students with statistical methods and tools used to
assist decision making and risk management in industry.
Subject description
Selection of topics from decision analysis, reliability theory, risk
analysis and quality control.
References
Adair, J. Management Decision Making. Aldershot, Gower, 1985
Baird, B.F. Managerial Decisions Under Uncertainty: An Introduction to
the Analysis of Decision Making. New York, Wiley, 1989
Davis. M. The Art of Decision Making. New York, Springer, 1986
Frankel, E.G. Systems Reliabilityand Risk Analysis. 2nd edn, Dordrecht,
Kluwer, 1988
Martz, H.F. and Waller, R.A. Bayesian Reliability Analysis. New York,
Wiley, 1982
Montgomery, D.C. lntroduction to Statistical Quality Control. 2nd edn,
New York, Wiley, 1991
Perigord, M. Achieving Total Quality Management. Cambridge, Mass.,
Productivity Press, 1990
Saaty, T.L. Decision Making for Leaders: The Analytical Hierarchy
Process. 2nd edn, Pittsburgh, Pa, RWS Publications, 1990
Scherkenbach, W. The Deming Route to Quality and Productivity: Road
Maps and RoadBlocks. Washington, D.C., CEEP Press Books, 1986
Wadsworth, H.M. Modern Methods for Quality Control and
Improvement. New York, Wiley, 1986
Winston, W.L. Operations Research: Applications and Algorithms. 3rd
edn, Belmont, Calif., Wadsworth, 1994
Computer software
SASIQC, EC (AHP packages), PROPS.
~ ~ 7 0 7 Differential Equations
12.5 credit points
No. of hours per week: four hours (total 56 hours)
Instruction: classroom teaching
Assessment: assignments 30%, examination 70%
Subject aim
To develop an understanding of the theory of ordinary and
partial differential equations, and a knowledge of analytical
and computational methods of solutions.
Subject description
Analytical solutions of ordinarv and partial differential
equations. Existence and uniq6enes; of the solution.
Computational solutions of ordinary and partial differential
equations.
References
Davies, A.J. The Finite Element Method. Oxford University Press, 1981
Fritz, J. Partial Differential Equations. New York, Springer Verlag, 1982
Press, W.H., Flannery, B.P. Teukolsky, S.A. and Vetterling, W.T.
Numerical Recipes in C. Cambridge, Cambridge University Press, 1988
Smith, G .D. Numerical Solutions of Partial Differential Equations. 3rd
edn, Clarendon Press, 1985
Spiegel, M.R. Applied Differential Equations. 3rd edn, Englewood
Cliffs. N.J., Prentice Hall, 1981
Weinberger, H.F. A First Course in Partial Differential Equations. New
York, Wiley, 1965
SM708
Industry Based Learning
50 credit points
A six-month period of industry based learning occurring as part
of the fourth year of the course leading to the degree of
Bachelor of Applied Science. Students are supervised by a
member of the academic staff and are required to submit a
report to their employer and to their supervisor.