Skip to main content
Unit of study_

PDEs and Waves - MATH3078

Year - 2018

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 sound waves and water waves. To pass MATH3078, students must achieve satisfactory performance in the in-semester assessment component in order to pass the unit of study.

Classes
Three 1 hour lectures and one 1 hour tutorial per week.

Assessment
One 2 hour exam, assignments, quizzes (100%). To pass MATH3078/3978, students must achieve satisfactory performance in the in-semester assessment component.

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

Pre-requisites

12 credit points of Intermediate Mathematics

Prohibitions

MATH3018 or MATH3921 or MATH3978

Details

Faculty: Science

Semester 2

30 Jul 2018

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Aug 2018
Unit of study level: Senior
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: Yes
Faculty/department permission required? No
Location
Camperdown
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.