Integral transforms and the calculus of variations
4 points * First/Second semester * Clayton * Prerequisites: MAT2010, MAA2011 and MAA2032
Objectives Students will be introduced to a number of mathematical techniques and it is expected that they will master these and be able to apply them to a range of (relatively simple) problems.
Synopsis This subject involves the use of special (Bessel and Legendre) functions to solve standard forms of certain partial differential equations; the elementary theory of the calculus of variations; the use of Laplace and Fourier transforms to solve differential, integral and other such equations; general properties of the forward and inverse Laplace and Fourier transforms.
Assessment Examinations (1.5 hours): 75% * Other assessment: 25%
Prescribed texts
Spiegel M R Laplace transforms McGraw-Hill
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