PDEs and Waves (MATH3078)
UNIT OF STUDY
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.
Further unit of study information
Three 1 hour lectures and one 1 hour tutorial per week.
One 2 hour exam, assignments, quizzes (100%). To pass MATH3078/3978, students must achieve satisfactory performance in the in-semester assessment component.
Faculty/department permission required?
Unit of study rules
Prerequisites and assumed knowledge
12 credit points of Intermediate Mathematics, 12 credit points of Intermediate Mathematics, 12 credit points of Intermediate Mathematics
(MATH2061 or MATH2961) and (MATH2065 or MATH2965)
MATH3018 or MATH3921 or MATH3978, MATH3018 or MATH3921 or MATH3978, MATH3018 or MATH3921 or MATH3978
Study this unit outside a degree
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.
If you are from another Australian tertiary institution you may be permitted to underake cross-institutional study in one or more units of study at the University of Sydney.