This course covers the elements of one-dimensional complex analysis: the complex numbers (their algebra, geometry, and topology); analytic functions of a complex variable (definition, examples, properties); integration in the complex plane, particularly Cauchy's integral formula and its consequences; infinite series of complex numbers and of complex variables, including Taylor series and Laurent series; the residue theorem and the computation of real integrals by complex methods; and conformal mapping.
The instructor is Dr. Harold P. Boas. Office hours are in 202 Milner Hall, 10:00-11:00 on Monday, Wednesday, and Friday; also by appointment. Contact information: email boas@tamu.edu, office telephone 979-845-7269.
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