Unit Code:	MAT2ANA
Unit Short Title:	ANALYSIS
Credit Points:	15.0
Unit Description:	The limits of sequences and limits of functions are studied in this unit. 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. 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. We then use it together with the Hausdorff metric to study iterated function systems which are used in computer graphics.
Prerequisites:	MAT1CLA or MAT1CB
Incompatibles:	MAT2PAA
Class Requirements:	two 1-hour lectures and two 1-hour tutorials per week
Work Experience Indicator:	Not undertaking work experience in industry
Available to 'Study Abroad' students:	Y

Assessment:

Assessment Type	%	Comments
one 3-hour examination	85
fortnightly assignments (equivalent to 750-words)	15

Readings:

Reading Type	Title	Author	Publisher
Prescribed	Printed unit text available from University Bookshop

Unit Streams:

Teaching Period	Unit Class	Location
1   01-MAR-10   04-JUN-10	Day	BUNDOORA

Unit Coordinators:

Title	First Name	Last Name	Location	Primary Coordinator
Dr	Jeffrey	Brooks	BUNDOORA	Y
Dr	Simon	Smith	BENDIGO	N