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1996 Swinburne Higher Education Handbook

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Recommended reading<br />

Semesters 1 and 2<br />

Boas, M.L., Mathematical Methods in the Physical Sciences. 2nd edn,<br />

New York, Wiley, 1983<br />

Semester 2 only<br />

Anton, H., Calculus with Analytic Geometry, 5th ed. New York,<br />

Wiley, 1995<br />

Hill, R., A First Course in Coding Theury. Oxford, Oxford University<br />

Press, 1990<br />

Wong, Chien Wa, Introduction to Mathmatical Physics, Oxford<br />

University Press, 1991<br />

SM3415 Mathematical Methods<br />

8 credit points (sems 1 & 2) 3 hours per week Hawthom<br />

Prmquisitt: SMl2OO or SMl215 Assessment: tests/<br />

examinations and assignment<br />

A second year subject in the Bachelor of Applied Science<br />

(Medical Biophysics and Instrumentation)<br />

Objectives<br />

Broaden students mathematical techniques and apply to<br />

physics.<br />

Content<br />

A selection of topics from the following:<br />

Real analysis, fourier series of general periodic<br />

- .<br />

functions.<br />

Vector analysis<br />

Basic vector manipulation including calculus of vector<br />

functions. Space curves, Serret-Frenet formulas. Special<br />

emphasis on gradient of a scalar field, directional derivative,<br />

divergence and curl of a vector field.<br />

Com~lex analvsis<br />

I<br />

Algebra and geometry of complex numbers. Functions of a<br />

complex variable. Harmonic functions. Contour integration,<br />

cauShy integral and residue theorems. Evaluation of definite<br />

integrals. Conformal mapping and applications.<br />

Modern algebra with applications<br />

Groups, rings fields (including Galois fields). Vector spaces,<br />

polynomials with binary coefficients. Linear block codes,<br />

parity check matrices and standard arrays. Cyclic codes,<br />

generator polynomials. Hamming codes.<br />

Recommended reading<br />

Semesters 1 and 2<br />

Boas, M.L., Mathematical Methods in the Physical Sciences. 2nd edn,<br />

New York, Wiley, 1983<br />

Semester 2 only<br />

Anton, H., Calculus with Analytic Geometry, 5th ed. New York,<br />

Wiley, 1995<br />

Hill, R., A First Course in Coding Theory. Oxford, Oxford University<br />

Press, 1990<br />

Wong, Chien Wa, Introduction to Mathematical Physics, Oxford<br />

University Press, 1991<br />

SM3415 Mathematical Methods<br />

10 credit points (sems I & 2) 3 hours per week Hawthorn<br />

Prerequisite: SM1200 or SMI21S Assessment: tests/<br />

examinations and assignment<br />

A second year subject in the Bachelor of Applied Science<br />

(Medical Biophysics and Instrumentation)<br />

Objectives<br />

Broaden students mathematical techniques and apply to<br />

physics.<br />

Content<br />

A selection of topics from the following:<br />

Real analysis, fourier series of general periodic<br />

functions.<br />

Vector analysis<br />

Basic vector manipulation including calculus of vector<br />

functions. Space curves, Serret-Frenet formulas. Special<br />

emphasis on gradient of a scalar field, directional derivative,<br />

divergence and curl of a vector field.<br />

Complex analysis<br />

Algebra and geometry of complex numbers. Functions of a<br />

complex variable. Harmonic functions. Contour integration,<br />

Cauchy integral and residue theorems. Evaluation of definite<br />

integrals.<br />

Modern algebra with applications<br />

Groups, rings fields (including Galois fields). Vector spaces,<br />

polynomials with binary coefficients. Linear block codes,<br />

parity check matrices and standard arrays. Cyclic codes,<br />

generator polynomials. Hamming codes.<br />

Recommended reading<br />

Semesters 1 and 2<br />

Boas, M.L., Mathematical Methods in the Physical Sciences. 2nd edn,<br />

New York, Wiley, 1983<br />

Semester 2 only<br />

Anton, H., Calculus with Analytic Geometry, 5th edn, New York,<br />

Wiley, 1995<br />

Hill, R., A First Course in Coding Theory. Oxford, Oxford University<br />

Press, 1990<br />

Wong, Chien Wa, Introduction to Mathematical Physics, Oxford<br />

University Press, 1991<br />

SPI 08 Physics<br />

10 credit points li hours per week Hawthom<br />

Prerequisites: Nil Corequisites: Nil Assessment: practical<br />

work, assignments and examination<br />

A first year subject in the Bachelor of Applied Science (Applied<br />

Chernistry/Biochernistry and Environmental Health)<br />

Objectives<br />

To provide a basis for specialist scientific disciplines<br />

through rigorous development of essential physics<br />

principles.<br />

To provide a coherent and balanced account of the<br />

fundamentals of physics.<br />

Content<br />

Forces and energy kinematics, linear and circular dynamics,<br />

gravitation, kinetic theory, heat.<br />

Modern physics atomic structure, radioactivity, quantum<br />

theory, special relativity.<br />

Electricity and magnetism magnetic and electric fields,<br />

Coulomb's Law, electromagnetic induction- Lenz and<br />

Faraday laws, DC/AC circiits.<br />

Recommended Reading<br />

Griancoli, D.C., Physia with App1icah'm, 3rd edn, Prentice Hall, 1991

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