Math 261- Complex Variables

   In this course we study some of the amazing and beautiful properties of
the complex number system and analytic functions of a complex variable.  For
example,  we find that the trigonometric functions, the hyperbolic functions
and the exponential function can be expressed in terms of one another when
considered as functions of a complex variable.  Complex numbers and analytic
functions are widely used in engineering and science.  We will cover several
applications of the complex function theory  including the Fourier transform
and boundary value problems from electrostatics and steady-state heat flow in
the plane.   The central tools in our study will be Cauchy's integral theorem
and the theory of residues.

This course is suitable for upper level undergraduate students and graduate
students in mathematics, engineering, and science.