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.
Three lectures, one tutorial per week
Class tests, Assignments, Final examination
(MATH2961 or [MATH2921 and MATH2922]) and (MATH2962 or MATH2923)
12 credit points of Intermediate mathematicsProhibitions
MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3063