Differential Equations and Biomaths (MATH3063)
UNIT OF STUDY
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.
Further unit of study information
Three 1 hour lectures and one 1 hour tutorial per week.
One 2 hour exam, assignments, quizzes (100%)
Faculty/department permission required?
Unit of study rules
Prerequisites and assumed knowledge
12 credit points of Intermediate Mathematics
MATH3020 or MATH3920 or MATH3003 or MATH3923 or MATH3963
Study this unit outside a degree
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.
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.