Faculty of Science
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Professor Paul Cally and Dr Simon Clarke
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.
On completion of this unit students will be able to:
Examination (3 hours): 70%
Assignments and tests: 30%
Three 1-hour lectures and one 2-hour combined tutorial and computer laboratory class per week
See also Unit timetable information