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Unit of study_

MATH5320: Topics in Analysis

2021 unit information

Differential equations and the notion of convergence are ubiquitous within the natural sciences, engineering and mathematics. Analysis has, thus, far reaching applications, and it is a major discipline in its own right. The origins of many major areas such as topology, functional and harmonic analysis have their roots in real and complex analysis. Analysis makes unexpected appearances in other areas such as number theory, where it played a key role in a recent breakthrough on arithmetic progression of prime numbers by Fields medalist Terrence Tao. Analysis deals with any kind of limit process, notions of distance, measure, continuity or differentiability. It makes up a crucial part of diverse areas in mathematics. The fields of application of analysis that you will encounter in this unit may include partial differential equations, differential geometry, harmonic analysis, topological groups, optimal control, scattering theory, ergodic theory, differential topology or mathematical physics. The selection of topics in this unit is guided by their relevance for applications and current research. In this unit, you will gain an understanding of the systematic, abstract foundations of a branch of analysis and develop tools needed to get to the present frontiers.

Unit details and rules

Managing faculty or University school:

Science

Study level Postgraduate
Academic unit Mathematics and Statistics Academic Operations
Credit points 6
Prerequisites:
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None
Corequisites:
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None
Prohibitions:
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None
Assumed knowledge:
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Familiarity with metric spaces (e.g., MATH4061 or equivalent) and higher analysis (e.g., MATH4313 or MATH4315 or equivalent). Please consult with the coordinator for further information.

The learning outcomes for this unit will be available two weeks before the first day of teaching.

Unit availability

This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.

The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.

There are no availabilities for this year.
Session MoA ?  Location Outline ? 
Semester 1 2020
Normal day Camperdown/Darlington, Sydney
Outline unavailable
Semester 1 2021
Normal day Camperdown/Darlington, Sydney
Outline unavailable
Semester 1 2021
Normal day Remote
Outline unavailable

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Modes of attendance (MoA)

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