Overview

MATH5201 is an honours and postgraduate coursework Mathematics course. See the course overview below.

Units of credit: 6

Prerequisites:  (MATH2501 or MATH2601 or MATH2089 or MATH2099) and (MATH2011 or MATH2111 or MATH2018 (DN) or MATH2019 (DN) or MATH2069 (CR) or MATH2121 or MATH2221).

Cycle of offering:  Term 3 2023 (not offered every year)

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

More information: Course outline is linked within the course offering table for the term applicable. Outlines will be made available closer to the start of term.

If you are currently enrolled in MATH5201, you can log into UNSW Moodle for this course.

Contact pg.mathsstats@unsw.edu.au for enquiries.

Course overview

A dynamical system is any system whose state changes as a function of time. Many nonlinear systems do not have explicit solutions. The dynamical systems approach shifts the focus from finding explicit solutions to discovering geometric properties of solutions. It also recognises that even a small amount of nonlinearity in a system can be responsible for very complicated chaotic behaviour. In this course you will learn the fundamentals of dynamical systems in discrete-time maps and continuous-time ODEs, allowing you to analyse the local and global behaviour of dynamical systems. You will also learn how to analyse time series data using nonlinear tools and build appropriate predictive models. This course is relevant for all majors Mathematics and related disciplines, and those interested in being able to model and understand dynamical phenomena (e.g. weather and climate, fluid dynamics, chemical dynamics, biological dynamics, and other physical and engineering processes).