Undergraduate - UnitMTH3060 - Advanced ordinary differential equations

This unit entry is for students who completed this unit in 2012 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

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6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

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Level	Undergraduate
Faculty	Faculty of Science
Offered	Clayton Second semester 2012 (Day)
Coordinator(s)	Professor Paul Cally

Synopsis

This unit examines two particular classes of ordinary differential equations: dynamical systems and boundary-value problems. The investigation of boundary-value problems considers Sturm-Liouville eigenvalues problems and orthogonal polynomials, shooting and direct matrix methods for the numerical investigation of boundary-value problems and iterative matrix methods. The second topic of dynamical systems considers analytical and numerical methods for planar autonomous systems, classification of critical points using eigenvalues and eigenvectors and perturbation methods for periodic and nearly periodic motion. Programming skills are developed in the context of the analytic and numerical investigation of advanced ordinary differential equations using MATLAB.

Outcomes

On completion of MTH3060, students will have consolidated and extended their knowledge of the importance of differential equations in modelling, and the classification and analytic and numerical solution of ordinary differential equations.