TOPOLOGY AND DYNAMICS

MAT4TD

2015

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.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorYuri Nikolayevsky

Available to Study Abroad StudentsYes

Subject year levelYear Level 4 - UG/Hons/1st Yr PG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites Requires co-ordinators approval

Co-requisitesN/A

Incompatible subjectsN/A

Equivalent subjectsN/A

Special conditions This subject will only be available subject to sufficient enrolments.

Graduate capabilities & intended learning outcomes

01. tba

Activities:
tba

Subject options

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Start date between: and    Key dates

Melbourne, 2015, Semester 2, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorYuri Nikolayevsky

Class requirements

Seminar Week: 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 elementComments% ILO*
a project equivalent to 2,700-words60 01
two-assignments40