Applied Complex Variables

Catalog description

Analytic functions, Cauchy-Reimann equations, contour integration, Cauchy theorem, Cauchy integral formula, Taylor and Laurent series, residue theorem and applications, linear fractional transformations, conformal mapping, Schwarz-Christoffel transformation. Inversion integral for Laplace transform with complex argument; inverse Laplace transforms. Recommended: Background knowledge equivalent to MTH 2001 Calculus 3 and MTH 2201 Differential Equations/Linear Algebra .