Please note - Swinburne University of Technology

SM494
Engineering Mathematics
No, of hours per week: two hours
Prerequisite: SM394 Engineering Mathematics
Instruction: lecturesltutorials
Assessment: exarninationltutorial assignment
A fourth-year subject in all streams of the degree of
Bachelor of Engineering (Electrical - unstramed).
Subject aims
To further dewlop the specialised mathematical analytical
techniques used in the more advanced and specialised
engineering subjects.
Subject description
Complex variables: elementary functions, geometry of the
complex plane, mappings, complex differentiation, conformal
mapping, potential problems, contour integration, residue
theory, application to the evaluation of real integrals and
inverjion of Laplace transforms.
Curvilinear coordinates: revision of potential theory; general
coordinate systems, coordinate surfaces, curves and vectors,
orthogonal systems; grad, div, curl and Laplacian in
orthogonal systems.
Linear algebra: background, transmission matrices, vector
spaces, solution of linear equations; the eigenvalue problem,
the Cayley-Hamilton theorem, numerical evaluation using
power method, characteristic impedance, propagation
function; systems of linear differential equations, solution of
first order systems by reducing to an eigenvalue problem,
the phase plane, equilibrium, quadratic forms and matrices,
Liapunov's direct method, linearisation of non-linear systems.
Prescribed course material
SM494 - Mathematics for Electrical Engineering. Department of
Mathematics, Swinburne University of Technology, 1993
References
Kreyszig, E. Advanced Engineering Mathematics. 7th ed, N.Y.: Wiley,
1993
Rade, L. and Westergren, B. Beta Mathematics Handbook: Concepts,
Theorems, Methods, Algorithms, Formulae, Graphs, Tables. 2nd ed,
Lund: Studentlitteratur, 1990
Spiegel. M.R. Theory and Problems of Complex Variables with An
Introduction to Conformal Mapping and its Applications.2nd ed, New
$ York: McGraw-Hill, 1974
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SM499 Engineering Mathematics
4
No. of hours per week: two hours
rn
3 Instruction: integrated instruction and practice
co.
A fourth-year subject in the degree of Bachelor of
, Engineering (Mechanical).
I)
(P Subject aims and description
Introduction to finite element methods; approximation, basis
functions, quadrature, weighted residual methods, ordinary
and ~artial differential equations.
riererences
Davies, A.J. The Finite Element Method: A First Approach. Oxford:
Oxford University Press. 1980
Easton, A.K., Robb, I?]. and Singh. M. Approximation and the Finite
Element Method 1993
Rade, L. and Westergren, B. Beta Mathematics Handbook. 2nd ed,
Lund: Studentlitteratur, 1990
sM741 Statistics and Reliability
No. of hours per week: two hours
A subject in the Graduate Diploma in Risk Management.
Subject description
~re~uenc~ distributions; mean, median, mode, measures of
dispersion. Probability. Probability distributions; binomial.
noimal, Poisson and-weibull. ~ests of hypothesis and
significance. Reliability mathematics; meantime between
failures, failure rates, mortality curves, cumulative probability
distributions. Boolean algebra and introduction to Fault Free
applications. Review of applicable computational techniques.
References
Bajpai, A.C., Calus, I.M.. Fairley, J.A. Statistical Methods for Engineen
and Scientists: A Student's Course Book. Chichester, Sussex: Wiley.
1978
O'connor, ED.T. Practical Reliability Engineering. 2nd ed. Chichester:
Wiley, 1985
Rade, L. and Westergren, B. Beta Mathematics Handbook. 2nd ed,
Lund: Studentlitteratur, 1990
SP294 Engineering Physics
No. of hours per week: two hours for two
semesters
Prerequisite: EE188 Electronics, Circuits and
Computing
Instruction: lectures
Assessment: examination/assignment
A second-year subject in the degree of Bachelor of
Engineering (Electrical- unstreamed).
Subject aims
This subject aims to develop in students a familiarity with
selected areas of classical and modern physics, particularly
those areas relevant to modern electrical engineering; to
allow students to obtain a basic understanding of the
properties and usage of materials that are relevant to
electrical engineering.
Subject description
Relativity: inertial frames, covariance, constancy of speed of
light, special relativity, space-time, mass and energy.
Quantum mechanics: quantum phenomena, wave-particle,
duality, probability and wave functions. Schroedinger's
equatiorr and applications. Heisenberg uncertainty principle.
Solid state physics: many body quantum mechanics,
quantum statistics. Conduction in metals, zone and band
theories, intrinsic semi-conductors. Extrinsic semi-conducton
and devices.
Optics: lasers and other light sources, modulators and
detectors. Optical fibres as sensors and in communications.
Holography and holographic devices.
Nuclear physics: nuclear structure, properties, stability and
reactions. Fission, fusion and nuclear power.
Textbook
Eisberg, R.M. and Resnick, R. Quantum Physics of Atoms, Molecules,
Solids, Nuclei, and Particles. 2nd ed, New York: Wiley, 1985
SP419 Occupational Hygiene and Safety
No. of hours per week: four hours
Assessment: examination and assignments
A subject in the Graduate Diploma in Chemical Engineering.
Subject aims and description
Environmental hazards
Accident prevention. Work-related injuries including
tenosynovitis, back and muscle injuries. Relationship of
physical defects to employee safety. Stress in the workplace,
measurement and alleviation.
Noise and vibration. Physics of sound. Measurement and bioeffects.
Hazard recognition, evaluation and control.
Heat and ventilation. Measurement of dusts and fumes, bioeffects.
Body temperature regulation, effects of heat and
cold.
Radiation: ionising and non-ionising (including ultra-violet,
visible light, infra-red, radio frequency and lasers).
Identification and bio-effects. Hazard assessment and control.