University of Technology SydneyHandbook 2007

35482 Boundary Value Problems

6cp; 3hpw, supported by at least 3hpw of individual or group study

Requisite(s): ((35333c Applied Mathematics 3A OR 35334 Applied Mathematics 3B) AND 35335 Mathematical Methods)

These requisites may not apply to students in certain courses. See access conditions.

This subject covers a number of widely used tools and methods in the solution of boundary value problems that arise in mathematical physics, and in particular in the study of electromagnetic optics/photonics and wave theory. Particular topics include: boundary value problems; eigenvalue problems; Sturm-Liouville problems; degeneracy; eigenfunctions and the variational principle; completeness, comparison of eigenfunction expansions with Fourier Series; eigenfunctions for the Helmholtz and Schroedinger equations; discrete and continuous eigenvalues; Green's function methods, Green's theorem, Helmholtz equation; solution of inhomogeneous equations; Green's functions and eigenfunctions; reciprocity; complex variables; boundary value problems for harmonic functions; mathematical and physical applications; conformal mapping.

Typical availability

Spring semester, City campus

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at Access conditions and My Student Admin.