1997 Swinburne Higher Education Handbook

SM255A Engineering Mathematics
10 Credit Points 4.5 hoursper week Hawthorn
Instruction: lectures, tutorials, laboratory work Assessment:
examination 70%, tests 30%
A third year subject in the Bachelor of Civil Engineering
Objectives
To provide students with a thorough grounding in
mathematics and to develop their ability to use mathematics
with understanding to solve engineering problems.
Content
Vector calculus: derivatives of a scalar point function;
derivatives of a vector point function; topics in integration.
Partial differential equations: general discussion; solution of
the wave equation; solution of heat-conduction/diffusion
equation; solution of Laplace equation; finite elements;
general considerations.
Applied probability and statistics: estimating parameters;
joint distributions and correlations; regression; goodness-offit
tests; moment generating functions; analysis of engine
performance data; statistical quality contrcl; Poisson
processes and the theory of queues; BayesO theorem and its
application.
Recommended reading
James, G., Burley D., Dyke, P., Searl, J., Steele, N. &Wright, J.
Advanced Modern Engineering Mathematics. Addison-Wesley, 1994
Rade, L. & Westergren, B. Beta § Mathematics Handbook.
Studentlitteratur, 1990
SM255B Engineering Mathematics 5B
10 credit points .4.5 hours per week . Hawthorn .
Prerequisites: SM233 - Assessment: examinations and tests
A common mathematics semester subject in the Bachelor of
Engineering (electrical engineering).
Objectives
To ~rovide students with a thorough grounding in
mathematics and to develop their ability to use mathematics
with understanding to solve engineering problems.
Content
Vector calculus
Fourier and z transforms
Applied probability and statistics
Recommended reading
James, G., et al., Advanced Modern Engineering Mathematics,
Addison Wesley, 1994.
SM278 Design and Measurement 2A
16.5 credit points 4 hours per week daytime or 3.5 hours
evening per week Hawthorn Prerequisites: A YIOO and
AYlOl Assessment: hands on SPSS Computer test, SPSS and
statistics written test and exam
A subject in the Bachelor of Applied Science (Psychology
and Psychophysio1ogy)and the BachelorArts (for students
majoring in psychology)
Ob jedives
A first-semester subject in research design and statistical
analysis planned to complement concurrent and future
studies in psychology.
Content
In this subject the emphasis is on understanding the
methodology of basic research design and how the associated
statistical analysis can provide answers to research questions.
Students also receive instruction in the use of the Statistical
Package for the Social Sciences (SPSS). This computer
package will be used to analyse data both in this course and
in second and third stage courses in psychology.
Topics to be studied include an introduction to computer
based data analysis, one and two-way factorial designs and
the corresponding analysis of variance.
Recommended reading
To be advised.
SM288 Operations Research: An Introduction
to Problem Solving
10 credit points 3 hours per week Hawthorn
Prerequisites: nil Assessment: assignments and examination
A first year subject in the Bachelor of Applied Science
(Mathematics and Computer Science)
Ob jedives
Introduce students to the field of operations research.
Introduce students to the types of mathematical models
ued in operations research.
Help students to develop an approach to problem
solving.
Introduce students to the SAS system.
Content
Development of operations research: inter-disciplinary team;
methodology; role of techniques; problem formulation;
model building; types of models; testing; validating; design
and data problems; implementation; operations research
literature; operations research societies.
Applications of linear programming; formulation; graphical
solution of two variable problems; sensitivity analysis;
computer based solution using SAS.
Applications of Markov chains; formulation; n-step and
steady state probabilities.
Definition of an heuristic; the travelling salesman problems
and scheduling problems.
The SAS program manager, inputting data, sorting and
printing, summarising and plotting data, graphing data,
transferring data and output between packages,
programming using SAS to solve operations research
problems.
Recommended reading
Journal of the Operations Research Society
Winston, W.L. Operations Research: Applications and Algorithms. 3rd
edn, Belmont, Calif., Wadswonh, 1994
Swinburne University of Technology 1997 Handbook 509