Please note - Swinburne University of Technology

Real analysis
Partial differentiation, chain rule, approximations. Application
to maximum and minimum problems constrained optima and
Lagrange multipliers. Change of variable. Multiple integrals.
Applications of single, double and triple integrals. Jacobians.
Surface integrals. Fourier series of general periodic functions.
Laplace transforms. Use of tables. Partial differential
equations, solution via separation of variables (Fourier series).
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. Line, surface and volume
integrals. Field theory.
Complex analysis
Algebra and geometry of complex numbers. Functions of a
complex variable. Elementary functions such as polynomial,
exponential, trigonometric, hyperbolic, logarithm and power.
Differentiability and Cauchy-Reimann equations. Harmonic
functions. Contour integration, Cauchy integral and residue
theorems. Evaluation of definite integrals. Conformal mapping
and applications.
Random processes
Review of probability, Markov chains, Poisson processes, birthdeath
processes, Chapman-Kolmogorovequations. Steady
5. state probabilities. Simple queueing processes.
. r. -
0 3 Modern algebra with applications
o+ 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.
,"
rn Prescribed text
3
e. Semesters 1 and 2
Boas, M.L. Mathematical Methods in the Physical Sciences. 2nd edn,
2, New York, Wiley, 1983
3
(D
Semester 2 only
Hill, R. A First Course in Coding Theory. Oxford, Oxford University Press,
1990
0
L?.
lo, s~ios Physics
10 credit points
No. of hours per week: five hours
Assessment: practical work, assignments and
examination
Subject description
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 laws, DCIAC circuits.
Light and Waves: reflection, refraction, interference, electromagnetic
waves.
~ ~ 1 2 1 Physical Science
7.5 credit points
No. of hours per week: three hours
Assessment: assignments and examination
Subject description
Forces and energy: kinematics, Newton's Laws, work.
Matter: liquids - density, pressure, evaporation, buoyancy,
surface tension, capillarity, Bernoulli's principle, viscosity. Gases
- ideal gas, temperature, kinetic theory, speed distribution,
expansion of solids. Heat - calorimetry, heat transmission.
Solids - elasticity, Hooke's Law, elastic moduli.
Electricity and magnetism: charge, Coulomb's Law, electric
field, potential difference, current, Ohm's Law, resistance,
capacitance, magnets and magnetic fields, magnetic effects of
currents, electromagnetic induction, Faraday's Law, Lenz's Law.
Acoustics: S.H.M., damped and forced vibrations, wave
motion, energy in waves, standing waves, sound, beats, shock
waves, intensity, sound levels, human ear, dBA scale,
introduction to noise.
SPl32
Introductory Psychophysiology
12.5 credit points
No. of hours per week: four hours
Assessment: examination, assignments and
tutorials
Subject description
Physical concepts, units, principles, conversions, accuracy,
measurements. Basic physical monitoring techniques including
relevant quantitative measures, measurements and units.
Membranes and tissues, cell membrane, receptors, cell
communication. Introduction to organ systems, methods of
monitoring, physiological importance, aspects of control.
Nutrition, chemical basis, digestion, absorption, additives.
Genetics, phenotypes, genotypes, crosses, genetic engineering.
lrnmunological considerations, antibodies, lymphocytes,
immunity, rejection.
~ ~ 1 3 4 Monitoring Instrumentation
10 credit points
No. of hours per week: five hours
Assessment: practical work, assignments and
examination
Subject description
Motion and forces: relativistic kinematics and dynamics,
rotational kinematics and dynamics, gravitation.
Electricity and magnetism: electric fields, Gauss' Law, electric
potential, energy density of the electric field, magnetic fields,
Biot-Savart Law, Ampere's Law, inductance, AC circuits,
displacement current, DC circuits.
Atomic physics: photoelectric effect, x-rays, Compton effect,
photon-electron interactions, Bohr model, de Broglie matter
waves.