1996 Swinburne Higher Education Handbook

SMl l0 Mathematical Methods
7.5 credit points 3 hours per week Hawthorn
Assessment: tests/examination and assignments
This is a first year subject in the Bachelor of Applied Science
(Environmental Health)
Objectives
This subject is designed to introduce students to
mathematical principles as they relate to environmental
studies.
Content
Calculations
Reviews of basic mathematical operations; illustrations from
environmental and health applications. Use of electronic
calculator.
Numerical methods
Introduction to numerical methods errors and their
propagation, including rounding errors and loss of
significance. Solution of equations in one variable;
numerical solution of non-linear equations by iterative
methods (bisection, false position, secants, simple iteration,
Newton-Raphson).
Linear algebra
Matrices and matrix algebra; determinants and theirr
evaluation. Systems of linear equations: Gaussian
elimination; matrix inversion; procedures for numerical
solution by direct or iterative methods.
Functions of one variable
Standard functions and their graphs. Transcendental
functions exponential; logarithmic and natural logarithm
functions; trigonometric and inverse trigonometric
functions. Curves defined by relations or parametrically.
Calculus
Differentiation geometric interpretation; derivatives of
standard functions; ~roduct, quotient and chain rules;
implicit differentiation.
Applications of differentiation graph sketching, using first
and higher order derivatives; related rated; optimisation in
finite closed intervals.
Integration definite and indefinite integrals and their
interpretations; fundamental theorem; integrals of standard
functions; integration by substitution. Use of integral tables.
Numerical integration (rectangle, trapezium and Simpson's
rules). Separable differential equations, with or without
initial values. Functions of several variables: ~artial
derivatives; maxima and minima.
Recommended reading
To be advised.
SMl l l Engineering Mathematics 1
10 credit points 4 hours per week Hawthorn
Prerequisites: Nil Assessment: examination and tests
This is a first year subject of the Bachelor of Engineering
Objectives
To provide students a thorough gounding in mathematics
and to develop their ability to use mathematics with
understanding to solve engineering problems.
Content
Numbers and functions, complex numbers, vector algebra,
matrix algebra, discrete mathematics.
SM112 Engineering Mathematics 2
10 credit points 4 hours week Hawthorn Prerequisites:
%l1 - Enginewing MktGics Assessment. Examimtion
and tests
This is a first year subject of the Bachelor of 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
Sequences, series and limits, differentiation and integration,
further calculus of one variable. functions of more than one
variable.
Recommended reading
James, G., et al., Modern Engineering Mathematics. Addison
Wesley, 1993
SM119 Mathematics for Technology
10 credit points 4 hours per week Hawthorn
Prerequisites: SMlll Engineering Mathematics 1
Assessment: examination and tests
A first year subject in the Bachelor of Applied Science
(Multimedia Technology)
Objectives
To provide students with a sufficient mathematical basis for
later subjects such as electronics, telecommunications and
computer graphics.
Content
Sequences, series and limits; differentiation and integration;
fourier series and tranforms; data handling and probability
theory.
SM131 Communication Skills
10 credit points 4 hours per week Hawthorn
Prerequisites: nil Assessment: individual assignment,
participation and a test
This is a first year subject of the Bachelor of Applied Science
(Mathematics and Computer Science)
Objectives
Develop and improve students written and verbal
communication skills
Provide students with concepts and strategies for
successfully managing their own learning
Content
Communication Skills
In this component written communications skills will be
developed with particular reference to situationally
appropriate letters, memos, reports and essay writing. Study
and research skills will be enhanced by increasing
I