This unit of study is an introduction to the theory of systems of ordinary differential equations. Such systems model many types of phenomena in engineering, biology and the physical sciences. The emphasis will not be on finding explicit solutions, but instead on the qualitative features of these systems, such as stability, instability and oscillatory behaviour. The aim is to develop a good geometrical intuition into the behaviour of solutions to such systems. Some background in linear algebra, and familiarity with concepts such as limits and continuity, will be assumed. 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.
Three lectures, one tutorial per week
Class tests, Assignments, Final examination
MATH2061 or [MATH2X21 and MATH2X22]
12 credit points of Intermediate mathematicsProhibitions
MATH3003 or MATH3923 or MATH3020 or MATH3920 or MATH3963