Learning objectives
Foundations of topology and functions of one complex variables.
Course unit content
Topological spaces<br />
Connected and compact spaces<br />
Metric spaces<br />
Cauchy-Riemann equations<br />
Holomorphic and harmonic functions
Bibliography
Kosniowski, A first course in algebraic topology, Cambridge Univ. Press.<br />
Krantz, Complex variable: a geometric viewpoint, AMS.