University Course Planner The University of Adelaide Australia

PURE MTH 7055 - Topology and Analysis

Career: Postgraduate Coursework
Units: 3
Term: 3410
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Assumed Knowledge: MATHS 2100
Assessment: Ongoing assessment, examination

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

To display course fees, please select your status and program below:

Student Status


What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Postgraduate Coursework
Non Award

Program of Study

Study Abroad student tuition fees are available here

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information


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
3410 Mon 17/03/2014 Mon 31/03/2014 Fri 09/05/2014 Fri 13/06/2014

Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
12363 LE01 5 5 3 Mar - 7 Apr Monday 11am - 12pm Ingkarni Wardli, B20, Teaching Suite
5 Mar - 9 Apr Wednesday 11am - 12pm Ingkarni Wardli, B20, Teaching Suite
7 Mar - 11 Apr Friday 11am - 12pm Ingkarni Wardli, B20, Teaching Suite
28 Apr - 9 Jun Monday 11am - 12pm Ingkarni Wardli, B20, Teaching Suite
30 Apr - 11 Jun Wednesday 11am - 12pm Ingkarni Wardli, B20, Teaching Suite
2 May - 13 Jun Friday 11am - 12pm Ingkarni Wardli, B20, Teaching Suite