Please note - Swinburne University of Technology

Discrete joint distributions of two variables: marginal
distributions, cross-classifications (contingency tables);
independence tests.
Hypergeometric test with normal approximation for 2 by 2
case, chi-square.
Continuous bivariate data: Pearson and Spearman
correlation.
Regression analrjis for a single predictor, estimation of
parameters.
F test for the model, tests and confidence intervals for
parameters, confidence intervals for the conditional mean,
prediction intervals.
Non-linear (single predictor) models, residual plots, checking
of assumptions.
Computer packages such as Minitab may be used.
References
Groeneveld, R.A. lntroducfory Statistical Methods. Boston: PWS-Kent,
1988
-= Johnson, R. and Bhattacharyya, G. Statistics: Principles and Methods.
New York: Wiley. 1987
g Ott, L. and Mendenhall, W. Understanding Statiztics. 5th ed, Boston:
2 -. PWS-Kent, 1990
m
ii
sM387 Introduction to Optimisation
z
10.0 credit points
m
3 No. of hours per week: three hours
$ Prerequisites: nil
Assessment: assignments and examination
A second-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.
Subject description
Linear and integer programming, simplex method,
transportation and assignment algorithms, branch and
bound methods, deterministic dynamic programming.
Computer packages such as SASIOR, Lotus 123lPROPS may
be used.
Textbooks and References
Journal of the Operational Research Society
Ravindran. A,, Phillips, DT. 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: WVS-Kent, 1991
sM388 Forecasting and Regression
10.0 credit points
No. of hours per week: three hours
At th time of printing full subject details were unavailable.
Please contact the course convenor for further information
(Mathematics Department).
SM404 Project Management A
10.0 credit points
No. of hours per week: two hours
Assessment: tests, assignments, verbal
presentations and participation in tutorial classes
and project teams
A second-year subject of the degree course in mathematics
and computer science.
Subject description
Applied researchlproject management
Project characteristics: project stages; project management
and the project leader; responsibilities of the project leader;
project planning; determination of tasks; scheduling tasks;
development of project plan; monitoring and control of
project; benefits of project management; when to use
project management; senior management's responsibilities,
the project leader and the project team. Guest speakers and
management games may be used. Tutorial classes will be
based on experiential exercises in organisational behaviour.
Internal project
Students, working in groups of 3 or 4, will be required to
undertake a project for a member of staff. Each group will
be totally responsible for managing the project and for
bringing it to a successful conclusion. They will be expected
to maintain team meeting notes, barcharts, etc., and to
provide each staff member with suitable progress reports. In
addition, they will be expected to obtain formal approval for
the work that they are undertaking from the appropriate
staff member. In short, they will be expected to manage the
project along the lines of the topics discussed. Verbal and
written reports will be required at the end of the semester
reporting on the management process and the results of the
project.
SM480 Analysis
10.0 credit points
No. of hours per week: three hours
Prerequisite: SM 180
Assessment: testslexamination and assignments
A second-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.
Subject description
lnfinite sequences and series
Definition of a sequence; limits; types of divergent
behaviour.
Infinite series; some simple tests for convergence; familiar
series.
Taylor's Theorem; Maclaurin and Taylor series.
Ordinary differential equations
First order equations of standard types: separable,
homogeneous, linear, exact. Use of substitution and
integrating factors. Existence of solutions; graphical
interpretations; singular points and solutions. Higher order
equations: reduction of order; linear equations. Linear
equations with constant coefficients. Applications. Numerical
methods of solution.
Functions and function series
Power series, with applications to differential equations.
Fourier series of common periodic functions; half-range
expansions. Gamma and Besel functions; Legendre
polynomials.
Partial differential equations
General solution of simple equations by integration; solution
of boundary value problems using Fourier series. The
Laplace, wave and heat flow equations.
Textbooks and References
Boas, M. Mathematical Methods in the Physical Sciences. 2nd ed,
New York: Wiley, 1983
Hildebrand, F.B. Advanced Calculus for Application% 2nd ed,
Englewood Cliffs: Prentice-Hall, 1976
Kreyszig, E. Advanced Engineering Mathematics. 7th ed, New York:
Wiley, 1993
Mathematics Department notes
SM484 Experimental Design and Multiple
Regression
10.0 credit points
No. of hourj per week: three hours
Prerequisite: SM384
Assessment: testslexamination and assignments
A second-year subject of the degree courses in mathematics
and computer science and applied and industrial
mathematics.