Analytic Function Theory
This course treats derivatives and integrals of functions of one complex
variable. You will also get to know familiar functions such as the
sine, cosine and logarithm better, since they naturally live in the
complex plane. The kernel of the course is the Cauchy integral theorem
and its implications. We will also discuss conformal mappings, an
important technique which we do not treat in detail. We will also look
at some applications in physics.