University Course Planner The University of Adelaide Australia

PURE MTH 3002 - Topology and Analysis III

Career: Undergraduate
Units: 3
Term: Semester 1
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 2100
Assessment: ongoing assessment 30%, exams 70%

Solving equations is a crucial aspect of working in mathematics, physics, engineering, and many other fields. These equations might be straightforward algebraic statements, or complicated systems of differential equations, but there are some fundamental questions common to all of these settings: does a solution exist? If so, is it unique? And if we know of the existence of some specific solution, how do we determine it explicitly or as accurately as possible? This course develops the foundations required to rigorously establish the existence of solutions to various equations, thereby laying the basis for the study of such solutions. Through an understanding of the foundations of analysis, we obtain insight critical in numerous areas of application, such areas ranging across physics, engineering, economics and finance. Topics covered are: sets, functions, metric spaces and normed linear spaces, compactness, connectedness, and completeness. Banach fixed point theorem and applications, uniform continuity and convergence. General topological spaces, generating topologies, topological invariants, quotient spaces. Introduction to Hilbert spaces and bounded operators on Hilbert spaces.

Course Fees

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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,131 Band 2 $1,131 select program select program

Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here

Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
Semester 1 Mon 13/03/2017 Fri 31/03/2017 Fri 05/05/2017 Fri 09/06/2017

Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
12717 LE01 30 9 27 Feb - 3 Apr Monday 4pm - 5pm Benham, G10, Benham Lecture Theatre
28 Feb - 4 Apr Tuesday 3pm - 4pm Barr Smith South, 3022, Polygon Lecture Theatre
1 Mar - 5 Apr Wednesday 12pm - 1pm Napier, 208, Lecture Theatre
24 Apr - 29 May Monday 4pm - 5pm Benham, G10, Benham Lecture Theatre
25 Apr - 6 Jun Tuesday 3pm - 4pm Barr Smith South, 3022, Polygon Lecture Theatre
26 Apr - 7 Jun Wednesday 12pm - 1pm Napier, 208, Lecture Theatre