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Vector and Complex Analysis for Applied Sciences MATH 254 (3)

Designed for students in the Engineering Science program. Combines a continuation of the study of vector calculus from MATH 251 with an introduction to functions of a complex variable. Vector functions of a single variable, space curves, scalar and vector fields, conservative fields, surface and volume integrals, and theorems of Gauss, Green and Stokes. Functions of a complex variable, differentiability, contour integrals, Cauchy's theorem. Taylor and Laurent expansion, method of residues, integral transform and conformal mapping. Prerequisite: MATH 240 or 232; and 251. MATH 240 or 232 may be taken concurrently. Students with credit for MATH 322 or MATH 252 may not take this course for further credit. Quantitative.