MAT3910

Integral transforms and the calculus of variations

Coordinator: Dr Robert Griffiths

4 points
* Two 1-hour lectures per week
* First/second semester
* Clayton
* Prerequisites: MAT2030, MAT2040 or MAT2047

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 Examination (2 hours): 75%
* Tests and/or assignments: 25%

Prescribed texts

Spiegel M R Laplace transforms McGraw-Hill