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Overview
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 2014, Winter 2015
Instructors: Kamran, Niky (Fall) Guan, Pengfei (Winter)
Fall and Winter
(3-1-5)
Prerequisite: MATH 264
Restriction: Open only to students in the Faculty of Engineering.