To acquaint students with the fundamental notions of function theory of one complex variable including fundamental concepts, complex line integrals, applications of Cauchy integral, meromorphic functions and residues, the zeros of holomorphic function, holomorphic functions as geometric mappings, harmonic functions, infinite series and product, applications of infinite sums and products, analytic continuation, rational approximation theory, special classes of holomorphic functions, special functions.

Complex line integrals, applications of Cauchy integral, meromorphic functions and residues, the zeros of holomorphic function, holomorphic functions as geometric mappings, harmonic functions, infinite series and product, applications of infinite sums and products, analytic continuation, rational approximation theory, special classes of holomorphic functions, special functions.