mat4top topology
TOPOLOGY
MAT4TOP
2020
Credit points: 15
Subject outline
This subject begins with a careful discussion of the various set theoretical results that are required for the subsequent material. This is followed by a discussion of the theory of metric spaces. The most basic properties of open sets in metric spaces can be used to motivate a more generally applicable definition of open sets, which leads to the idea of a topological space. A study of fundamental concepts in the theory of topological spaces such as compactness and connectedness yields results of very general application. The subject concludes with a treatment of quotients and products of topological spaces.
SchoolEngineering and Mathematical Sciences (Pre 2022)
Credit points15
Subject Co-ordinatorYuri Nikolayevsky
Available to Study Abroad/Exchange StudentsYes
Subject year levelYear Level 4 - UG/Hons/1st Yr PG
Available as ElectiveNo
Learning ActivitiesN/A
Capstone subjectNo
Subject particulars
Subject rules
PrerequisitesN/A
Co-requisitesN/A
Incompatible subjectsMAT3TA
Equivalent subjectsN/A
Quota Management StrategyN/A
Quota-conditions or rulesN/A
Special conditionsN/A
Minimum credit point requirementN/A
Assumed knowledgeN/A
Career Ready
Career-focusedNo
Work-based learningNo
Self sourced or Uni sourcedN/A
Entire subject or partial subjectN/A
Total hours/days requiredN/A
Location of WBL activity (region)N/A
WBL addtional requirementsN/A
Graduate capabilities & intended learning outcomes
Graduate Capabilities
Intended Learning Outcomes
Subject options
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Melbourne (Bundoora), 2020, Semester 2, Day
Overview
Online enrolmentNo
Maximum enrolment sizeN/A
Subject Instance Co-ordinatorYuri Nikolayevsky
Class requirements
LectureWeek: 31 - 43
Two 1.00 hour lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
Assessments
| Assessment element | Category | Contribution | Hurdle | % | ILO* |
|---|---|---|---|---|---|
5 fortnightly written assignments - 1500 words (300 words each) | N/A | N/A | No | 30 | SILO1, SILO2, SILO3, SILO4 |
One 2-hour written exam - 2000 words | N/A | N/A | No | 50 | SILO1, SILO2, SILO3, SILO4 |
Student classroom presentations - 1000 words | N/A | N/A | No | 20 | SILO1, SILO2, SILO3, SILO4 |