Math 380
Spring 2008
San Francisco State University
Title:
Introduction to Functions of a Complex Variable
Prerequisites:
A grade of C or better in MATH 228 and MATH 325 or the equivalent.
(No knowledge of complex numbers is necessary.)
Instructor:
Eric Hayashi
Text:
Fundamentals of Complex Analysis for Mathematics, Science, and Engineering
(Third Edition) by E.B. Saff and A.D. Snider
Course Content:
Complex analysis is a central topic in mathematics and has many
applications in engineering, physics, and computer science. The course will begin with an
introduction to the complex number system and complex differentiation. This will be
followed by a study of the elementary complex functions and their derivatives, complex
integration, Cauchy’s theorem, power series, Laurent series, residue theory, and
conformal mapping. Applications will be given along the way. These include oscillating
systems, heat flow, fluid flow, evaluation of definite integrals, and the fundamental
theorem of algebra. Most of the material in the first six chapters along with selections
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 Spring '11
 Staff
 Complex Numbers, Complex Variable, Cauchy, lowest homework score, Conformal mapping, Elementary Complex Functions

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