Fall
4
This course is an introduction to the theory of functions of a complex variable. Topics include complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, complex logarithms, exponential and trigonometric functions, complex integration and the Cauchy integral formula, complex power series, the residue theorem, applications to calculations of definite integrals, and methods of proof involving these concepts.
This course runs concurrent with Math 370; students in Math 371 will be held to a higher standard of mathematical rigor and be asked to complete additional problems.