MATH5215 Special Topic Applied Maths - Advanced Studies in Nonlinear Ordinary Differential Equations

MATH5215 is a Special Topic in Applied Mathematics course for Honours and Postgraduate Coursework students. The topic for Semester 2, 2015 is Advanced Studies in Nonlinear Ordinary Differential Equations. See the course overview below.

Units of credit: 6

Prerequisites:

Cycle of offering: Course not offered every year and topics rotate

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: Course outline (pdf)

The Online Handbook entry contains information about the course timetable. (The timetable is only up-to-date if the course is being offered this year.)

If you are currently enrolled in MATH5215, you can log into UNSW Moodle for this course.

Course Overview

Differential equations provide a mathematical framework from which we can gain a better understanding of the world around us.

This course aims to signicantly build on the basic ideas of dierential equations seen in rst and second-year studies. It focusses, at high and deep levels, on the creative and novel applications of mathematical analysis to nonlinear differential equations that arise in applied mathematics and nonlinear phenomena.

Learners will be provided with an advanced and indepth treatment of nonlinear ordinary differential equations (ODEs). We will be concerned with the qualitativefanalysis of solutions to ODEs, such as: existence; uniqueness; multiplicity; oscillation; a priori bounds; and other geometric properties.