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 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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Student Status

Domestic
International

What type of place are you studying in

Commonwealth supported
Full fee paying

Study Level

Undergraduate
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

Units
EFTSL
Amount
3
0.125
          
  


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 16/03/2020 Thu 26/03/2020 Fri 12/06/2020 Not Available


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
12799 LE01 30 13 2 Mar - 6 Apr Monday 2pm - 3pm Benham, G10, Benham Lecture Theatre
4 Mar - 8 Apr Wednesday 1pm - 2pm Barr Smith South, 2052, Teaching Room
6 Mar - 10 Apr Friday 12pm - 1pm Engineering Sth, S111, Teaching Room
27 Apr - 8 Jun Monday 2pm - 3pm Benham, G10, Benham Lecture Theatre
29 Apr - 10 Jun Wednesday 1pm - 2pm Barr Smith South, 2052, Teaching Room
1 May - 12 Jun Friday 12pm - 1pm Engineering Sth, S111, Teaching Room