
date 
topic 
1  12 Jan 
Complex numbers: Early history, basic properties 
2  21 Jan 
Assignment 1: algebra, geometry, analysis 
3  21 Jan 
Apollonian circles [GeoGebra] 
4  26 Jan 
Differential calculus of complex functions 
5  26 Jan 
Polynomial division and asymptotics [GeoGebra] 
6  2 Feb 
Chebyshev polynomials 
7  16 Feb 
Integration of complex functions 
8  25 Feb 
Cauchy's Theorem and Integral Formula 
9  2 Mar 
Visualizing complex functions 
10  20 Mar 
Visualizing the exponential 
11  30 Mar 
Laruent's Theorem 
12  1 Apr 
Classification of singularities 
13  3 Apr 
The Residue Theorem 
14  13 Apr 
Applications of the Residue Theorem 
15  17 Apr 
Applications of the Residue Theorem (all the details) 