Life of Fred: Complex Analysis

Complex Analysis is the theory of functions of a single complex variable.  (That is: Functions that map from complex numbers to complex numbers.)  This is advanced undergraduate mathematics with applications to even more advanced mathematics, physics, and engineering.  Some of the topics covered:

• Fred's scheduling issues
• Cauchy-Riemann equations; Cauchy-Goursat theorem; Cauchy’s formula
• Derivatives and Integration in the set of complex numbers
• Casorati-Weierstrass theorem; Picard’s theorems; Liouville theorem
• Why the Residue theorem is called a residue
• Red Riding Hood