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Department of Mathematical Sciences, Unit Catalogue 2009/10

MA40062: Ordinary differential equations

Click here for further information Credits: 6
Click here for further information Level: Masters
Click here for further information Period: Semester 2
Click here for further information Assessment: EX 100%
Click here for further informationSupplementary Assessment: Like-for-like reassessment (where allowed by programme regulations)
Click here for further information Requisites: Before taking this unit you must take MA20007 and take MA20008 and take MA20009 and take MA20011 and take MA20013 and take MA30041
Description:
Aims & Learning Objectives:
Aims:
To provide an accessible but rigorous treatment of initial-value problems for nonlinear systems of ordinary differential equations. Foundations will be laid for advanced studies in dynamical systems and control. The material is also useful in mathematical biology and numerical analysis.
Objectives: Conversance with existence theory for the initial-value problem, locally Lipschitz righthand sides and uniqueness, flow, continuous dependence on initial conditions and parameters, limit sets.

Content:
Topics will be chosen from the following: Motivating examples from diverse areas. Existence of solutions for the initial-value problem. Uniqueness. Maximal intervals of existence. Dependence on initial conditions and parameters. Flow. Global existence and dynamical systems. Limit sets and attractors.
NB. Programmes and units are subject to change at any time, in accordance with normal University procedures.