The algebra and geometry of complex numbers, sequences and series of complex numbers, derivatives, and integrals of functions of a complex variable. The Cauchy-Goursat Theorem, the Cauchy Integral Formula and its consequences, Taylor series, classification of singularities, the Residue Theorem, Laurent series, harmonic functions, conformal mappings, and, if time permits, miscellaneous applications.
Thomas R. Cameron
Visiting Assistant Professor
Department of Mathematics and Computer Science
Davidson, NC 28035