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TOPOLOGY AND DYNAMICS

MAT4TD

2017

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.

School: School Engineering&Mathematical Sciences

Credit points: 15

Subject Co-ordinator: Yuri Nikolayevsky

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.

Graduate capabilities & intended learning outcomes

01. tba

Activities:
tba

Melbourne, 2017, Semester 2, Day

Overview

Online enrolment: No

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Yuri Nikolayevsky

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 elementComments%ILO*
a project equivalent to 2,700-words6001
two-assignments40