ELEE 2530U – Complex Analysis for Engineers

Basic complex analysis; complex number and topology of complex plane, continuity and differentiability of complex functions, power series and convergence tests, elementary complex functions, contour integration, Cauchy theorem and Cauchy integral formula, Taylor and Laurent series, residue theorem; applications selected from evaluation of real integrals, planar flows and potential theory, Laplace transform and inversion of residues, transform solution of ordinary differential equations with constant coefficients, complex Fourier Series, complex Fourier Transform and its relationships with Laplace Transform, convolution property of Fourier Transform. Application to engineering systems.
Credit hours: 3
Lecture hours: 3
Tutorial hours: 1.5
Prerequisite(s): MATH 2860U