Nonlinear ODEs with Applications (Adv) (MATH3963)


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 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, linearisation, and analysis of asymptotic behaviour. The applications in this unit will be drawn from predator-prey systems, population models, chemical reactions, and other equations and systems from mathematical biology.

Our courses that offer this unit of study

Further unit of study information


Three lectures, one tutorial per week


Class tests, Assignments, Final examination

Faculty/department permission required?


Unit of study rules


12 credit points of Intermediate mathematics

Assumed knowledge

MATH2961 and MATH2962


MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3063

Study this unit outside a degree

Non-award/non-degree study

If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student.

Cross-institutional study

If you are from another Australian tertiary institution you may be permitted to underake cross-institutional study in one or more units of study at the University of Sydney.