Fall 2013 – Summer 2014
Mathematics & Statistics (Sci) : Analytic functions, Cauchy-Riemann equations, simple mappings, Cauchy's theorem, Cauchy's integral formula, Taylor and Laurent expansions, residue calculus. Properties of one and two-sided Fourier and Laplace transforms, the complex inversion integral, relation between the Fourier and Laplace transforms, application of transform techniques to the solution of differential equations. The Z-transform and applications to difference equations.
Terms: Fall 2013, Winter 2014
Instructors: Pengfei Guan (Fall) Neville G F Sancho (Winter)