Please note - Swinburne University of Technology

~ ~ 3 9 s Engineering Mathematics
No. of hours per week: three hours
Instruction: integrated instruction and practice
Subject aims and description
Fourier series and partial differential equations. Numerical
solution of linear and non-linear algebraic equations,
introduction to finite difference methods for ordinary and
partial differential equations, applications.
References
Hauser, E.P Lepack User's Guide. Faculty of Applied Science, Version
2, Hawthorn, SIT, 1994
Kreyszig. E. Advanced Engineering Mathematics. 7th edn, New York,
Wiley, 1993
Rade, L. and Westergren, B. Beta Mathematics Handbook. 2nd edn,
Lund, Studentlitteratur, 1990
Smith, G.D. Numerical Solution of Partial Differential Equations: Finite
Difference Methods. 3rd edn, Oxford, Clarendon. 1985
s~399 Engineering Mathematics
No. of hours per week: three hours
Instruction: integrated instruction and practice
Subject aims and description
Fourier series and partial differential equations. Numerical
solutions of linear and non-linear algebraic equations. Finite
difference method for ordinarv and partial differential
equations. Matrix calculus.
References
Bronson, R. Matrix Methods: An Introduction. 2nd edn, Boston, Mass.,
Academic Press, 1991
Hausler, E.F? Lepack User's Guide and Software. Version 2, Hawthorn,
SIT, 1989
Kreyszig, E. Advanced Engineering Mathematics. 7th edn, New York,
Wiley, 1993
Rade, L. and Westergren, B. Beta Mathematics Handbook. 2nd edn,
Lund, Studentlitteratur, 1990
Smith, G.D. Numerical Solution of Partial Differential Equations. 3rd
edn, Oxford, Clarendon, 1985
~ ~ 4 0 4 Project Management A
10 credit points
No. of hours per week: three hours
Assessment: tests, assignments, verbal
presentations and participation in tutorial classes
and project teams
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 3,4 or 5, will be required to
undertake a project for a member of staff acting as a client.
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.
Preparation for employment
Review preparation of resumes and interview techniques;
participate in seminars presented by fourth year students
returning from Industry Based Learning.
~ ~ 4 8 0 Analysis
10 credit points
No. of hours per week: three hours
Prerequisite: SM180
Assessment: testslexamination and assignments
Note: In any year there will be offered either SM383 only, or
one or both of SM381 and SM480. Students may not receive
credit for both SM383 and SM381 or SM480.
Subject description
lnfinite sequences and series
Definition of a sequence; limits; types of divergent behaviour.
lnfinite 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 edn,
New York, Wiley, 1983
Hildebrand, F.B. Advanced Calculus forApplications. 2nd edn,
Englewood Cliffs, Prentice Hall, 1976
Kreyszig, E. Advanced Engineering Mathematics. 7th edn, New York,
Wiley, 1993
Mathematics Department notes