Students are introduced to the classical complex function theory, a cornerstone of mathematics. Topics include: complex derivatives and the Cauchy-Riemann equations; the complex exponential function and related elementary functions; integration along curves and Cauchy's theorems; Taylor and Laurent series; zeros and singularities; residues; and evaluation of integrals using the residue theorem. Prerequisite: MATH 2110 or MATH 2111 and MATH 3170 or MATH 2200 all with a minimum grade of C or with departmental permission.
Students are introduced to the classical complex function theory, a cornerstone of mathematics. Topics include: complex derivatives and the Cauchy-Riemann equations; the complex exponential function and related elementary functions; integration along curves and Cauchy's theorems; Taylor and Laurent series; zeros and singularities; residues; and evaluation of integrals using the residue theorem. Prerequisite: MATH 2110 or MATH 2111 and MATH 3170 or MATH 2200 all with a minimum grade of C or with departmental permission.
