18.112 Functions of a Complex Variable


Class Info

Studies the basic properties of analytic functions of one complex variable. Conformal mappings and the Poincare model of non-Euclidean geometry. Cauchy-Goursat theorem and Cauchy integral formula. Taylor and Laurent decompositions. Singularities, residues and computation of integrals. Harmonic functions and Dirichlet's problem for the Laplace equation. The partial fractions decomposition. Infinite series and infinite product expansions. The Gamma function. The Riemann mapping theorem. Elliptic functions.

This class has 18.100A, 18.100B, 18.100C, 18.06, 18.700, and 18.701 as prerequisites.

18.112 will be offered this semester (Fall 2017). It is instructed by T. Beck.

Lecture occurs 10:00 AM to 11:00 AM on Mondays, Wednesdays and Fridays in 56-154.

This class counts for a total of 12 credits.

In the Fall 2015 Subject Evaluations, 18.112 was rated 5.9 out of 7.0. You can find more information on MIT OpenCourseWare at the Functions of a Complex Variable site or on the 18.112 Stellar site.

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