380SYL[1] - Math 380 Spring 2008 San Francisco State...

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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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This note was uploaded on 09/16/2011 for the course MATH 380 taught by Professor Staff during the Spring '11 term at S.F. State.

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380SYL[1] - Math 380 Spring 2008 San Francisco State...

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