MATH 249 — Honours Complex Variables

Functions of a complex variable; Cauchy-Riemann equations; Cauchy's theorem and consequences. Taylor and Laurent expansions. Residue calculus; evaluation of real integrals; integral representation of special functions; the complex inversion integral. Conformal mapping; Schwarz-Christoffel transformation; Poisson's integral formulas; applications. Additional topics if time permits: homotopy of paths and simple connectivity, Riemann sphere, rudiments of analytic continuation.

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• Difficulty: 3.60 out of 5
• Credits: 3
• Faculty: Faculty of Science
• Department: Mathematics and Statistics
• Prerequisite(s): MATH 222