MTH3077

Mathematical modelling

(SCI)

Dr Alistair Carr

6 points + Second semester + 3 hour lectures and 1 hour tutorial plus 8 hours private study per week + Gippsland and Distance + Prerequisites: MTH2032 or MAT2096, MTH2010 or MAT2030 and GCO1811 or equivalent (MTH1210 is desirable) + Prohibitions: MAT3037, GAS3622

Synopsis: The subject examines several styles and purposes of mathematical modelling, as well as some of the elementary methods used to analyse the behaviour of continuous and discrete dynamical systems. Topics include: formulation and testing of models, selection of modelling approaches, stability analysis, asymptotic stability, limit cycles, bifurcation, sensitive dependance on initial conditions, chaotic solutions; qualitative and quantitative investigation of simple models drawn from the physical and biological sciences.

Assessment: Examination (open book, 2 hours): 30% + Assignments: 70%