University Course Planner The University of Adelaide Australia

PURE MTH 3002 - Topology and Analysis III

Career: Undergraduate
Units: 3
Term: 3810
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 2100
Assessment: Ongoing assessment, exams
Syllabus:

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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Study Abroad student tuition fees available here

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

  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,169 Band 2 $1,169 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
3810 Mon 12/03/2018 Sat 31/03/2018 Fri 04/05/2018 Fri 08/06/2018


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
12619 LE01 25 13 26 Feb - 26 Mar Monday 12pm - 1pm Engineering & Mathematics, EMG06, Teaching Room
28 Feb - 28 Mar Wednesday 12pm - 1pm Engineering & Mathematics, EMG06, Teaching Room
2 Mar - 30 Mar Friday 4pm - 5pm Ingkarni Wardli, B17, Teaching Room
16 Apr - 4 Jun Monday 12pm - 1pm Engineering & Mathematics, EMG06, Teaching Room
18 Apr - 6 Jun Wednesday 12pm - 1pm Engineering & Mathematics, EMG06, Teaching Room
20 Apr - 8 Jun Friday 4pm - 5pm Ingkarni Wardli, B17, Teaching Room