TOPOLOGY AND DYNAMICS
MAT4TD
2014
Credit points: 15
Subject outline
We commence with some ideas of very general application in point set topology that lead to proofs of the Alexander lemma and Tychonoff's theorem. These ideas underpin an exploration of the theory of topological dynamics, where we study the behaviour of dynamical systems using topological concepts. We focus on the way in which open sets evolve dynamically and other concepts underlying the definition of chaos. Particular emphasis will be given to symbolic dynamics.
Faculty: Faculty of Science, Tech & Engineering
Credit points: 15
Subject Co-ordinator: John Banks
Available to Study Abroad Students: Yes
Subject year level: Year Level 4 - UG/Hons/1st Yr PG
Exchange Students: Yes
Subject particulars
Subject rules
Prerequisites: Requires co-ordinators approval
Co-requisites: N/A
Incompatible subjects: N/A
Equivalent subjects: N/A
Special conditions: This subject will only be available subject to sufficient enrolments.
Melbourne, 2014, Semester 2, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Enrolment information:
Subject Instance Co-ordinator: John Banks
Class requirements
SeminarWeek: 31 - 43
Two 1.0 hours seminar per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
"Requiring extensive preparation for class presentations"
Assessments
| Assessment element | Comments | % |
|---|---|---|
| a project equivalent to 2,700-words | 60 | |
| two-assignments | 40 |