Fall 2012 – Summer 2013
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 2012, Winter 2013
Instructors: Gantumur Tsogtgerel (Fall) Michael Pichot (Winter)