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Partial differential
equations of mathematical physics and their solutions
in various coordinates, separation of variables in Cartesian coordinates,
application of boundary conditions; Fourier series and eigenfunction
expansions; generalized curvilinear coordinates; separation of variables in
spherical and polar coordinates.
Further topics include Sturm--Liouville theory, the gamma
function, and Bessel, Legendre, Laguerre, Hermite, Chebyshev,
hypergeometric, and confluent hypergeometric equations and functions
and their properties.
The final grade may be based on assignments, two tests, and a final exam.
Prerequisite:AS/SC/AK/MATH 2270 3.0; one of AS/SC/
MATH 2010 3.0, AS/SC/MATH 2015 3.0, AS/SC/AK/MATH
2310 3.0; AS/SC/AK/MATH 3010 3.0 is also desirable,
though not essential, as prerequisite for students presenting
AS/SC/MATH 2010 3.0 or AS/SC/AK/MATH 2310 3.0.
Coordinator: T.B.A.
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