mat2ana analysis of real numbers and functions
ANALYSIS OF REAL NUMBERS AND FUNCTIONS
MAT2ANA
2020
Credit points: 15
Subject outline
The limits of sequences and limits of functions are studied in this subject. Initially we study them in one-dimensional space and then in higher dimensions. We also study series and various tests are derived to determine the convergence or otherwise of these series. We then extend the basic idea of limit to include sequences of functions and sequences of sets in metric spaces. A powerful theorem called The Contraction Mapping Theorem will be derived. This theorem plays a fundamental role in analysis and its applications. We will use it to establish the existence and uniqueness of solutions to certain differential equations.
SchoolEngineering and Mathematical Sciences
Credit points15
Subject Co-ordinatorYuri Nikolayevsky
Available to Study Abroad/Exchange StudentsYes
Subject year levelYear Level 2 - UG
Available as ElectiveNo
Learning ActivitiesN/A
Capstone subjectNo
Subject particulars
Subject rules
PrerequisitesMAT1CLA OR (MAT1NLA AND MAT1CDE)
Co-requisitesN/A
Incompatible subjectsN/A
Equivalent subjectsN/A
Quota Management StrategyN/A
Quota-conditions or rulesN/A
Special conditionsN/A
Minimum credit point requirementN/A
Assumed knowledgeN/A
Learning resources
Printed subject text available from University Bookshop
Resource TypeBook
Resource RequirementPrescribed
AuthorDepart of Mathematics and Statistics
Year2015
Edition/VolumeN/A
PublisherLa Trobe University
ISBNN/A
Chapter/article titleN/A
Chapter/issueN/A
URLN/A
Other descriptionN/A
Source locationN/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 1, Day
Overview
Online enrolmentYes
Maximum enrolment sizeN/A
Subject Instance Co-ordinatorYuri Nikolayevsky
Class requirements
LectureWeek: 10 - 22
Two 1.00 hour lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
PracticalWeek: 10 - 22
Two 1.00 hour practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Assessments
| Assessment element | Category | Contribution | Hurdle | % | ILO* |
|---|---|---|---|---|---|
| Fortnightly assignments (1500 words equivalent total) | N/A | N/A | No | 30 | SILO1, SILO2, SILO3, SILO4, SILO5, SILO6 |
| One 3-hour examination | N/A | N/A | No | 70 | SILO1, SILO2, SILO3, SILO4, SILO5, SILO6 |