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MATH 249. Honours Complex Variables.

Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
Terms offered: Winter 2027
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Description

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.
  • Winter
  • Prerequisite(s): MATH 222
  • Restriction: Not open to students who have taken or are taking MATH 316.

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