The Cauchy-Riemann equations, elementary functions, branches of the logarithm and argument, Cauchy’s integral theorem and formula, winding number, Liouville’s theorem and the fundamental theorem of algebra, the identity theorem, the maximum modulus theorem, Taylor and Laurent expansions, isolated singularities, the residue theorem and applications, the argument principle and applications. Antirequisite(s): Applied Mathematics 3811A/B. Prerequisite(s): Mathematics 2123A/B or the former Mathematics 306a/b. Corequisite(s): Pre-or Corequisite(s): Extra Information: 3 lecture hours, 0.5 course. back to top