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Undergraduate 
(SCI)

Leader: Dr Anthony Lun
Offered:
Clayton First semester 2006 (Day)
Clayton Second semester 2006 (Day)
Synopsis: Solution of systems of linear equations using Gaussian elimination; introduction to vectors; methods of integration  substitutions and integration by parts; solution of firstorder ordinary differential equations  separable, use of integrating factor; solution of secondorder linear ordinary differential equations with constant coefficients; Taylor series and series convergence; introduction to discrete and continuous random variables; functions of several variables: partial derivatives, directional derivatives, maximum and minimum values.
Objectives: On completion of this unit, students will understand the key steps of the 'scientifc method' and how it can be applied to modelling of simple physical phenomena; have developed skills in solving systems of linear equations; have developed skills in integral calculus; understand the concepts of random variable and continuous probability distribution; have developed skills in solving the differental equations that arise from simple models of population growth and oscillations; be able to use vectors to represent lines and planes; be able to perform partial and directional derivatives of multivariable function; be able to use spreadsheets to perform calculations and present results from simple numerical models; understand the use of Taylor series in approximating functions; have developed skills in the use of computer algebra software as an aid for modelling; and be able to prepare and write a scientific report.
Assessment: Examination (3 hours) 60% + Reports, assignments and tests: 40%. Students must pass the examination to be awarded a pass grade.
Contact Hours: Three 1hour lectures and one 2hour computer laboratory per week
Prerequisites: MTH1020 or VCE Specialist Mathematics units 3 and 4 (with an average grade of B or above in the written examination components)
Prohibitions: MAT1085 or MAT1812