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.
[MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22]
12 credit points of MATH2XXX units of studyProhibitions
MATH3978 or MATH4078