Complex analysis: functions of a complex variable, analytic functions, Cauchy's Theorem and Cauchy's Integral Theorem, Taylor and Laurent series, and the Residue Theorem. The Laplace transform and inverse Laplace transform: operational properties, use in solving differential equations, convolution, and solution of some integrodifferential equations. Sturm-Liouville systems: orthogonal function (generalised Fourier series) <br/>expansions, special functions including Bessel and modified Bessel functions, Legendre polynomials, and the Green's function method. -- Course Website
Prerequisites: 8127 (v.6)<br/> Advanced Calculus 201<br/> <br/> or any previous version<br/> <br/> <br/><br/> <br/> OR<br/><br/> <br/> 8648 (v.3)<br/> Mathematical Methods 201<br/> <br/> or any previous version
