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Prerequisite and degree relevance:
M427K,M308M and one of M341, M311 or M340L or M346, all
with grades of at least C. We recommend M372K or M374 or M374K,
if M346 has not been taken.
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Course description:
Methods related to concepts from classical and modern applied
mathematics are introduced. Models include systems of linear and some
non-linear equations related to mathematical physics, such as eigen-value
problems, initial and boundary value problems for partial
differential equations. Topics include fundamental and generalized solutions
in Hilbert spaces, Fourier and Laplace transform methods for PDEs, first order
quasilinear problems, dispersive waves, scaling solutions,
group velocity and the method of stationary phase, stability and instability
analysis.
Bibliography: Second part of the Richard Haberman book on introduction to PDE's. and some
class notes.
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