1997 Swinburne Higher Education Handbook

To reinforce and develop mathematical communication
skills and problem solving skills.
To provide students with additional mathematical
understanding and background material which may be
required.
To demonstrate where mathematics can be applied to
practical situations.
Content
Vectors in 2- and 3- dimensional space.
Introduction to numerical methods; errors; solution of
equations by gaphical and iterative methods.
Coordinate geometry in Cartesian coordinates.
Standard functions and their graphs; finite and infinite
limits; indeterminate forms.
Differentiation and its applications; optimization;
approximations; Taylor polynomials
Integration and its applications; numerical integration;
improper integrals.
Matrics and determinants; systems of linear equations.
Polar co-ordinates.
Ordinary differential equations of first and second order.
Complex numbers.
Three-dimensional space; quadric surfaces; lines and planes;
calculus of curves and surfaces.
functions of many variables: graphs; partial differentiation;
approximations; directional derivatives and gradients;
optimisation.
Recommended reading
Text to be advised.
Prescribed Calculator Texas Instruments Advanced Scientific TI-
82 Graphics calculator or equivalent.
SM185 Applied Statistics 1
10 d i t points 4 hours per week Hawthorn Plwequkites: nil
Assessmat: tests/examinutions and assignmats
A first year subject in the Bachelor of Applied Science
(Mathematics and Computer Science)
Objectives
Provide methods for graphical and numerical summaries
V) of data.
k Introduce the basic ideas of probability and random
b variables.
Introduce both traditional and computer intensive
B. - methods for estimation and inference.
M
SM193 Mathematics
12 credit points (7-sem. I) (hem. 2) 3 hours per week (sem. 1)
2 hours per week (sem. 2) Hawthorn Instruction: lectures,
tutorials Assessment: examination and assessed work
A first year subject in the Bachelor of Technology (Building
Surveying)
Objectives
To provide students with the mathematical basis for
many construction subjects.
Content
Topics include: vectors, trigonometry, calculus, matrices,
algebra, statistics, financial mathematics and computer
studies.
Recommended reading
Dobinson, J., Mathematics for Technology, Vols. 1 and 2,
Harmondsworth, Penguin, 1972
Gottfried, B.S., Schaum's Outline of Theory and Problems of
Programming With Structured BASIC, New York, McGraw-Hill,
1993
Greer, A. and Taylor, G.W., Mathematicsfor Technicians: Level 11:
Building Construction Mathematics. Cheltenham, Thornes, 1980
Jones, M.K., Construction Mathematics. Vols. 1 and 2, London,
Longman, 1979
Lang, D.W., Critical Path Analysis. London, Teach Yourself
Books, 1970
SM233 Engineering Mathematics 3
10 credit points fi hours per week Hawthon
Prerequisites: SMlll and SMll2 Assessment: examination
and tests
A common mathematics semester subject in the Bachelor of
Engineering.
0 bjedives
To provide students with a thorough grounding in
mathematics and to develop their ability to use mathematics
with understanding to solve engineering problems.
Content
Ordinary differential equations
Fourier series
Laplace transforms
Data handling and probability theory
Recommended reading
James, G., et al., Modern Engineering Mathematics. Addison-
Wesley, 1993
James. G., et al., Advanced Modern Engineering Mathematics.
Addison-Wesley, 1994
SM244 Engineering Mathematics 4
10 credit points 4.1 hoursper week Hawthorn
Prerequisites: SM233 Assessment: examination, assignment
and tests
A common mathematics semester subject in the Bachelor of
Engineering.
0 biedives
To provides students with a thorough grounding in
mathematics and to develop their ability to use mathematics
with understanding to solve engineering problems.
Content
Numerical solution of ordinary differential equations
Functions of a complex variable
Matrix analysis
Recommended reading
James, G., et al., Modern Engineering Mathematics. Addison-
Wesley, 1993
James. G., et al., Advanced Modern Engineering Mathematics.
Addison-Wesley, 1994