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Course profile

Partial Differential Equations (MATH3403)

Study period
Sem 2 2024
Location
St Lucia
Attendance mode
In Person

Course overview

Study period
Semester 2, 2024 (22/07/2024 - 18/11/2024)
Study level
Undergraduate
Location
St Lucia
Attendance mode
In Person
Units
2
Administrative campus
St Lucia
Coordinating unit
Mathematics & Physics School

Review of separation of variables; classification of second equations; maximum principles for elliptic & parabolic equations. Green's functions & Neumann problem for Laplace & heat equations. Cauchy problem for heat & wave equations; non-linear boundary value problems: successive approximation; contraction principle.

Method of characteristics. Classification of second order equations. Review of separation of variables and Sturm-Liouville boundary value problems. Duhamel’s principle. Green's functions & Neumann problem for Laplace & heat equations. Cauchy problem for heat & wave equations. Maximum principles for elliptic & parabolic equations. Mean value formulas.

Course requirements

Assumed background

This course presupposes that students can solve linear ordinary differentialᅠequations (usually but not exclusively with constant coefficients) and simple first order ordinary differential equations. Students should also revise the topics Fourier series and Green's and Stokes' Theorems from second year.

Prerequisites

You'll need to complete the following courses before enrolling in this one:

(MATH2000 or MATH2001 or MATH2901) + MATH2100

Incompatible

You can't enrol in this course if you've already completed the following:

MATH7433 (co-taught).

Course contact

Tutor

Mr Atish Ajay Kumar

Course staff

Lecturer

Timetable

The timetable for this course is available on the UQ Public Timetable.

Additional timetable information

There are no repeat lectures in this course. You should attend all three lectures. ᅠAll lectures are recorded. Tutorials are not recorded.

All classes will be conducted on campus. Consult your personal timetable for times and locations. Students are expected to attend these sessions in person unless they have a valid reason for being unable to attend (such as illness).