MTH1030

Techniques for modelling

P Norton

6 points - Two 1-hour lectures and one 2-hour computer laboratory per week - First/second semester - Clayton - Prerequisites: MTH1020 or VCE Specialist Mathematics units 3 and 4 (with an average grade of B or above in CATs 2 and 3) - Prohibitions: GAS1615, MAT1020, MAT1080, MAT1085, MAT1812

Objectives On the completion of this subject, students will have developed skills in solving systems of linear equations; have developed skills in integral calculus; have developed skills in solving the differential equations that arise from simple models of population growth and oscillations; understand the use of Taylor series in approximating functions and have developed skills in the use of computer software as an aid for modelling and in the production of scientific reports.

Synopsis Solution of systems of linear equations using Gaussian elimination; methods of integration - substitutions and integration by parts; solution of first-order ordinary differential equations - separable, use of integrating factor; solution of second-order linear ordinary differential equations with constant coefficients; Taylor series and series convergence.

Assessment Examination (3 hours) 50% - Reports and projects: 50%

Prescribed texts

Hughes-Hallett D and others Calculus: Single variable 2nd edn, Wiley, 1998

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