Mathematical modelling A
BS BN BB BT DT BC BP BDT
Dr Alistair Carr
3 points * Second semester * 3 hours per week * Gippsland/Distance * Corequisites: GAS1611
This subject is designed to help students to develop some skill in the craft of mathematical modelling, and to introduce several continuous mathematical models from the physical sciences. This subject provides an introduction to the craft of selecting, constructing, analysing and criticising mathematical models. Selected case studies drawn from areas such as population dynamics, animal and plant growth and planetary motion are included. The main emphasis, however, is on students' attempts at formulating their own models in assignment work. Therefore, general procedures and advice on model formulation are provided, and the case studies are intended to illustrate principles which students may apply in their own work. Some general concepts used in analysing physical systems, such as those of conservation laws, interactions and rate equations are discussed. Simple methods from calculus are used to solve and analyse many of the models introduced. For on-campus students the subject is taught by lectures and tutorials, with opporunities for class discussion and class modelling investigations. Some established models are also explained and criticised (problem sets on these are set for exam preparation but not for assessment).
Assessment
Three modelling assignments: 60% * Examination: 40%
Recommended texts
Burghes D N and Borrie M S Modelling with differential equations Ellis Horwood, 1981
Giordano F R and Weir M D A first course in mathematical modeling Brooks-Cole, 1985
Mason J and others Thinking mathematically rev. edn, Addison-Wesley, 1985