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.
School: Engineering and Mathematical Sciences (Pre 2022)
Credit points: 15
Subject Co-ordinator: Yuri Nikolayevsky
Available to Study Abroad/Exchange Students: Yes
Subject year level: Year Level 2 - UG
Available as Elective: No
Learning Activities: N/A
Capstone subject: No
Subject particulars
Subject rules
Prerequisites: MAT1CLA OR (MAT1NLA AND MAT1CDE)
Co-requisites: N/A
Incompatible subjects: N/A
Equivalent subjects: N/A
Quota Management Strategy: N/A
Quota-conditions or rules: N/A
Special conditions: N/A
Minimum credit point requirement: N/A
Assumed knowledge: N/A
Learning resources
Printed subject text available from University Bookshop
Resource Type: Book
Resource Requirement: Prescribed
Author: Depart of Mathematics and Statistics
Year: 2015
Edition/Volume: N/A
Publisher: La Trobe University
ISBN: N/A
Chapter/article title: N/A
Chapter/issue: N/A
URL: N/A
Other description: N/A
Source location: N/A
Career Ready
Career-focused: No
Work-based learning: No
Self sourced or Uni sourced: N/A
Entire subject or partial subject: N/A
Total hours/days required: N/A
Location of WBL activity (region): N/A
WBL addtional requirements: N/A
Graduate capabilities & intended learning outcomes
Graduate Capabilities
Intended Learning Outcomes
Melbourne (Bundoora), 2020, Semester 1, Day
Overview
Online enrolment: Yes
Maximum enrolment size: N/A
Subject Instance Co-ordinator: Yuri 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 |