Overview

Partial Differential Equations are ubiquitous in the modelling of physical phenomena. This topic will introduce the modern theory of partial differential equations of different types, in particular the existence of solutions in an appropriate space. Fourier analysis, one of the most powerful tools of modern analysis, will also be covered. … For more content click the Read More button below.

Offerings

S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Zihua Guo

Unit Coordinator(s)

Associate Professor Zihua Guo

Notes

This unit is offered in alternate years commencing Semester 2, 2019

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Synthetise advanced mathematical knowledge in the basic theory of fundamental PDEs.

2.

Interpret the construction of `generalised functions' (distribution) and how it relates to modern notions of derivative and function spaces.

3.

Synthetise techniques and properties of Fourier Analysis.

4.

Apply sophisticated Fourier analysis methods to problems in PDEs and related fields.

5.

Apply recent developments in research on PDEs

Assessment

1 - Continuous assessment
2 - Examination (3 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Availability in areas of study

Master of Mathematics