Skip to main content
Unit of study_

PDEs and Waves - MATH3078

This unit of study introduces Sturm-Liouville eigenvalue problems and their role in finding solutions to boundary value problems. Analytical solutions of linear PDEs are found using separation of variables and integral transform methods. Three of the most important equations of mathematical physics - the wave equation, the diffusion (heat) equation and Laplace's equation - are treated, together with a range of applications. There is particular emphasis on wave phenomena, with an introduction to the theory of nonlinear waves, dimensional analysis, symmetry.

3x 1 hour lectures; 1x1 hour laboratory /wk

One 3 hour exam (70%), 2 assignments (15%+15%). To pass the course, students much achieve more than 50% on the final exam.

Assumed knowledge
[MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22]


12 credit points of MATH2XXX units of study


MATH3978 or MATH4078


Faculty: Science

Semester 2

05 Aug 2019

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Aug 2019
Unit of study level: Senior
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: Yes
Faculty/department permission required? No
More details
Unit of Study coordinator: Prof Georg Gottwald
HECS Band: 2
Courses that offer this unit

Non-award/non-degree study If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student. Cross-institutional study If you are from another Australian tertiary institution you may be permitted to undertake cross-institutional study in one or more units of study at the University of Sydney.

To help you understand common terms that we use at the University, we offer an online glossary.