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GAS2624

Mathematical modelling A

Dr Alistair Carr

3 points * Second semester * 3 hours per week[breve] Gippsland/Distance (odd-numbered years only) * Prerequisite GAS1615 * Prohibition: MAA2051

Objectives This subject aims to develop an understanding of the process of mathematical modelling, and for students to master the details of certain established, continuous models from the physical sciences; and to explore the assumptions and predictions of these models.

Synopsis This subject is designed to help students to develop some skill in the craft of mathematical modelling; the process of formulating a simple model is developed by using an outline `recipe' for the process. Then selected case studies drawn from areas such as population dynamics, animal and plant growth and planetary motion.

Some general concepts used in analysing physical systems, such as those of conservation laws, interactions and rate equations, are discussed. Methods from single-variable calculus (particularly the solution of differential equations) are used to analyse the established models.

Assessment Three modelling assignments: 60% * Examination: 40%

Recommended texts

Giordano F R and Weir M D A first course in mathematical modeling Brooks-Cole, 1985.


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