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, all with a minimum grade of C-. 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.
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, all with a minimum grade of C-. 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.
