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Please note - Swinburne University of Technology

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SKI~O<br />

Computing for Chemists<br />

10 credit points<br />

No. <strong>of</strong> hours per week: five hours<br />

Subject description<br />

This is an introductory course in computing for students<br />

majoring in chemistry. Computing dominates the modern day<br />

practice <strong>of</strong> chemistry from computer-aided automation in the<br />

laboratory to scientific research involving supercomputers. The<br />

aim <strong>of</strong> this course is to provide a good foundation in<br />

computing principles. No previous computing knowledge is<br />

assumed. An introduction to both computers and the DOS<br />

operation system is presented. A programming language,<br />

currently QBASIC, is introduced and applied to solve problems<br />

typically encountered in chemistry.<br />

~ ~ 2 9 0 Computer Science<br />

10 credit points<br />

No. <strong>of</strong> hours per week: five hours<br />

Subject description<br />

This is an introductory course in computing for students<br />

majoring in the physical sciences. Computing dominates the<br />

modern day practice <strong>of</strong> physics and chemistry from computeraided<br />

automation in the laboratory to scientific research<br />

involving supercomputers. The aim <strong>of</strong> this course is to provide<br />

a good foundation in computing principles. No previous<br />

computing knowledge is assumed. An introduction to both<br />

$1<br />

% computers and the DOS operating system is presented. A<br />

programming language, currently QBASIC or C, is introduced<br />

and applied to solve problems typically encountered by physical<br />

$ scientists.<br />

rn<br />

a<br />

ID<br />

S.<br />

~~2100 Applied Computing Methods<br />

2 7.5 credit points<br />

la No. <strong>of</strong> hours per week: two hours<br />

w<br />

3 Instruction: a combination <strong>of</strong> lecture and tutorial<br />

a<br />

sessions<br />

k'2.<br />

a<br />

Assessment: assignments and examination<br />

2 Subiect description<br />

s<strong>of</strong>tware tools: an introduction to the main s<strong>of</strong>tware tools<br />

encountered by environmental health specialists - job<br />

command languages, editors, word processors, spreadsheets,<br />

etc.<br />

Computer s<strong>of</strong>tware: an introduction to the use <strong>of</strong> micros<strong>of</strong>t<br />

works, illustrated by the use <strong>of</strong> case studies.<br />

Computer hardware: an introduction to micro/mini computer<br />

hardware architecture including peripheral devices,<br />

communications, sub-systems and current technology I/O<br />

systems (graphics, OCR).<br />

~ ~ 1 0 6 Mathematics<br />

7.5 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Assessment: examination and assignment<br />

Subject description<br />

Functions and graphs<br />

Basic functions: polynomials <strong>of</strong> degree one (linear functions),<br />

polynomials <strong>of</strong> degree two (quadratic functions), polynomials<br />

<strong>of</strong> dearee N2. Roots and factors <strong>of</strong> ~olvnomials. Linear<br />

interpolation and extrapolation. ~itt'in~~ol~nomials to data.<br />

Functions for science: exponential growth function, power<br />

series representation <strong>of</strong> e x , approximations for small x. Index<br />

laws. Graph <strong>of</strong> y &e x . Decay function. Hyperbolic functions.<br />

Fitting exponential functions to data.<br />

Trigonometric functions: degrees and radius. Amplitude,<br />

period, frequency, phase angle.<br />

Inverse functions: composite functions. Logarithms. Inverse<br />

trigonometric functions.<br />

Other functions: the function f & llx. Limits and continuity,<br />

Quotients <strong>of</strong> polynomials. Asymptotes.<br />

Differentiation<br />

Rates <strong>of</strong> change. Notation. Basic functions and their<br />

derivatives. Rules <strong>of</strong> differentiation: Product rule, chain rule,<br />

quotient rule. Higher derivatives. Stationary points: Maxima,<br />

minima, and points <strong>of</strong> inflexion.<br />

lntegration<br />

Integrals as limits <strong>of</strong> sums. Evaluating integrals <strong>of</strong> basic<br />

functions. Substitution methods. Integration by parts.<br />

First-order ordinary differential equations<br />

Variables separable. Linear.<br />

Matrices<br />

Determinants. Inverses <strong>of</strong> matrices. Solution <strong>of</strong> simultaneous<br />

linear equations.<br />

Vectors<br />

Components, addition, unit vector, position vectors. Scalar and<br />

vector products. Applications: work done, moment <strong>of</strong> force.<br />

Statistics<br />

Mean and standard deviation. Linear regression in fitting<br />

functions to data.<br />

In this subject students learn to use a graphics calculator to<br />

solve problems in functions, graphs, differentiation, matrices,<br />

vectors and statistics.<br />

Prescribed text:<br />

Berry, J., Norcliffe, A. and Humble, S. Introductory Mathematics<br />

Through Science Applications. Cambridge, Cambridge <strong>University</strong> Press,<br />

1989.<br />

Prescribed calculators:<br />

Texas Instruments Advanced Scientific (TI-82) graphics calculator.<br />

SMI 1 o<br />

Mathematical Methods<br />

7.5 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Assessment: testslexamination and assignments<br />

Subject description<br />

Calculations<br />

Reviews <strong>of</strong> basic mathematical operations; illustrations from<br />

environmental and health applications. Use <strong>of</strong> electronic<br />

calculator.<br />

Numerical methods<br />

Introduction to numerical methods: errors and their<br />

propagation, including rounding errors and loss <strong>of</strong> significance.<br />

Solution <strong>of</strong> equations in one variable; numerical solution <strong>of</strong><br />

non-linear equations by iterative methods (bisection, false<br />

position, secants, simple iteration, Newton-Raphson).<br />

Linear algebra<br />

Matrices and matrix algebra; determinants and their<br />

evaluation. Systems <strong>of</strong> linear equations: Gaussian elimination;<br />

matrix inversion; procedures for numerical solution by direct or<br />

iterative methods.

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