Differential Equations & Biomaths (Adv) (MATH3963)

UNIT OF STUDY

The theory of ordinary differential equations is a classical topic going back to Newton and Leibniz. It comprises a vast number of ideas and methods of different nature. The theory has many applications and stimulates new developments in almost all areas of mathematics. The applications in this unit will be drawn from predator-prey systems, transmission of diseases, chemical reactions, beating of the heart and other equations and systems from mathematical biology. The emphasis is on qualitative analysis including phase-plane methods, bifurcation theory and the study of limit cycles. The more theoretical part includes existence and uniqueness theorems, stability analysis, linearisation, and hyperbolic critical points, and omega limit sets.

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Further unit of study information

Classes

Three 1 hour lectures and one 1 hour tutorial per week.

Assessment

One 2 hour exam, assignments, quizzes (100%)

Faculty/department permission required?

No

Unit of study rules

Prerequisites and assumed knowledge

12 credit points of Intermediate Mathematics with average grade of at least credit

Assumed knowledge: MATH2961

Prohibitions

MATH3923, MATH3003, MATH3063, MATH3020, MATH3920

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Cross-institutional study

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