Cauchy's integral formula. C is a contour containing z; the function f is analytic inside and on C; the integral is taken counterclockwise. 
MAT 342 Applied Complex Analysis

Index Course Description Syllabus and Schedule 
This is a mathematically rigorous course and most statements will come with complete proofs. Topics covered will include properties of complex numbers, analytic functions with examples, contour integrals, the Cauchy integral formula, the fundamental theorem of algebra, power series and Laurent series, residues and poles with applications, conformal mappings with applications, and other topics as time permits.