1997 Swinburne Higher Education Handbook

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SM3415 Mathematical Methods
10 credit points (sems 1 & 2) 3 hours per week Hawthorn
Prerequisite: SM1200 or SMI21fi Assessment: tests,
examinations and assignment
A second year subject in the Bachelor of Applied Science
(Medical Biophysics and Instrumentation)
0 b jective
Broaden students mathematical techniques and apply to
physics.
Content
A selection of topics from the following:
Real analysis, fourier series of general periodic functions.
Vector analysis
Basic vector manipulation including calculus of vector
functions. Space curves, Serret-Frenet formulas. Special
emphasis on gradient of a scalar field, directional derivative,
divergence and curl of a vector field.
Complex analysis
Algebra and geometry of complex numbers. Functions of a
complex variable. Harmonic functions. Contour integration,
Cauchy integral and residue theorems. Evaluation of definite
integrals. Conformal mapping and applications.
Modern algebra with applications
Groups, rings fields (including Galois fields). Vector spaces,
polynomials with binary coefficients. Linear block codes,
parity check matrices and standard arrays. Cyclic codes,
generator polynomials. Hamming codes.
Recommended reading
Semesters 1 and 2
Boas, M.L., Mathematical Methods in the Physical Sciences. 2nd edn,
New York, Wiley, 1983
Semester 2 only
Anton, H., Calculus with Analytic Geometry, 5th ed. New York,
Wiley, 1995
Hill, R., A fin, Course in Coding Theory. Oxford, Oxford
University Press, 1990
Wong, Chien Wa, Introduction to Mathematical Physics, Oxford
University Press, 1991
SP108 Physics
10 credit points fi hours per week Hawthorn
Prerequisites: nil Corequisites: nil Assessment: practical
work, assignments and examination
A first year subject in the Bachelor of Applied Science
(Chemistry/Biochemisuy and Environmental Health)
Objectives
To provide a basis for specialist scientific disciplines
through rigorous development of essential physics
. principles. .
To provide a coherent and balanced account of the
fundamentals of physics.
Content
Forces and energy kinematics, linear and circular dynamics,
gravitation, kinetic theory, heat.
Modern physics atomic structure, radioactivity, quantum
theory, special relativity.
Electricity and magnetism magnetic and electric fields,
Coulomb's Law, electromagnetic induction- Lenz and
Faraday's laws, DC circuits.
Recommended Reading
Griancoli, D.C., Physics with Applications, 4th edn, Prentice Hall,
1995
SP124 Engineering Physics
10 credit points fi hours per week Hawthorn
Prerequisites: VCE Mathematical Methods Units 3 and 4
Assessment practical work, assignments and exanzination
A first year subject in all disciplines of the Bachelor of
Engineering.
Obiectives
To provide a basis for specialist engineering disciplines
through rigorous development of essential Physics
. ..
principles.
To ~rovide a coherent and balanced account of the
fundamentals of physics.
Content
Linear mechanics: laws of motion; work and energy;
conservation of energy and momentum.
Rotational mechanics.
Electricity and magnetism: electric fields; direct current;
magnetic fields; electromagnetism.
Geometric optics.
Recommended reading
Serway, R.A., Physics for Scientists and Engineers with Modern
Physics, 4th edn, Saunders, 1996
SP125 Engineering Physics
10 credit points fi hoursper week Hawthorn
Prerequisite: VCE Mathematical Methods Units 3 and 4,
SP124 or equivalent Assessment practical work,
assignments and examination
A first year subject in all disciplines of the Bachelor of
Engineering
0 biedives
To provide a basis for specialist engineering disciplines
through rigorous development of essential Physics
principles.
To develop a coherent and balanced account of the
fundamentals of physics
Content
Vibrations, Waves and Sound: vibrations; waves;
superposition and standing waves.
Physical optics: interference; diffraction;
Thermal physics: kinetic theory of gases;
Modern physics: relativity; quantum physics; nuclear
physics.
Recommended reading
Serway, R.A., Physics for Scientists and Engineers with Modern
Physics, 4th edn, Saunders, 1996