Date    Chapter.Section/Topics   or   Page/Problems

T  Jan 11   Lecture 1: Introduction: Complex Numbers
            Assignment 1 Due Tuesday January 25
Th   13     Lecture 2: Topology of the complex plane
            Assignment 2 Due Tuesday February 1
T    18     Lecture 3: differentiability
Th   20     Lecture 4: differentiability (continued) 
                       Cauchy-Riemann Equations
T    25     Lecture 5: antiholomorphicity
            Assignment 3 Due Tuesday February 8
Th   27     Lecture 6: Differentiability and power series 
T  Feb 1    Lecture 7: Complex power series
            Assignment 4 Due Tuesday March 1
Th    3     Lecture 8: Analyticity of Power Series
T     8     Lecture 9: Complex Trigonometry and Fundamental Theorem of Algebra
Th   10     Lecture 10: Quadratic Equations and Boundary Behavior of Series
T    15     Lecture 11: Quadratic Equations and Boundary Behavior of Series
Th   17     Lecture 12: Boundary Behavior of Series
            Assignment 5 Due Tuesday March 8
T    22     Lecture 13; Integration (recorded)  
Th   24     Lecture 14: Cauchy's Theorem (recorded)
T  Mar 1    Lecture 15: Integration and Cauchy's Theorem
Th    3     Lecture 16: Cauchy's theorem (zoom in and zoom out)
T     8     Lecture 17: Cauchy integral formula and complex analyticity
            Assignment 6 Due Tuesday March 22
Th   10     Lecture 18: Analytic continuation:  accumulation of zeros
T    15     Lecture 19: Analytic continuation:  Schwarz reflection
            Assignment 7 Due Tuesday March 29
Th   17     Lecture 20: Overview (conformal mapping) 
                        and introduction to singularities  
T    22     spring break
            Assignment 8 Due Tuesday April 5
Th   24     spring break
T    29     Lecture 21: Singularities (poles)
Th   31     Lecture 22: Residues 
T  Apr 5    Lecture 23: Removable singularities, meromorphic functions, and essential singularities
            Assignment 9 Due Tuesday April 19
Th    7     Lecture 24: Picard Theorems and rational functions
            Assignment 10 Due Tuesday April 26
T    12     Lecture 25: Rouche's theorem
            Assignment 11 Due Thursday April 28
Th   14     Lecture 26: Maximum modulus principle, open mapping theorem
                        Lang's theorem
T    19     Lecture 27: Cauchy's Theorem (summary)
                        The complex logarithm
Th   21     Lecture 28: The complex logarithm  
                        Fourier transforms
T    26     Last lecture  
Th   28     final exam 2:40-5:30