ANALYSIS OF REAL NUMBERS AND FUNCTIONS
Credit points: 15
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.
FacultyFaculty of Science, Tech & Engineering
Subject Co-ordinatorYuri Nikolayevsky
Available to Study Abroad StudentsYes
Subject year levelYear Level 2 - UG
Prerequisites MAT1CLA or (MAT1NLA and MAT1CDE)
|Resource Type||Title||Resource Requirement||Author and Year||Publisher|
|Readings||Printed subject text available from University Bookshop||Prescribed||N/A||N/A|
Select to view your study options…
Melbourne, 2014, Semester 1, Day
Maximum enrolment sizeN/A
Subject Instance Co-ordinatorYuri Nikolayevsky
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
|one 3-hour examination||85|