Day 
Section 
Topic 
Assigned / Due 
F 1/15 
I.1 
complex numbers
Matlab code for visualizing multiplication: vismult.m

Assignment #1 
M 1/18 

no class: Alaska Civils Rights Day 

W 1/20 
I.2 
polar representation 

F 1/22 
I.3 
stereographic projection
worksheet: famous little calculations 

M 1/25 
I.4 
squaring and squarerooting 
A #1 DUE 
W 1/27 
I.5 
exponential function 
A #1 DUE (revised)
Assignment #2 
F 1/29 

... 

M 2/1 
II.1 
sequences and their limits
worksheet: rigorous limits of sequences 

W 2/3 

... 
A #2 DUE
Assignment #3 
F 2/5 

... 

M 2/8 
II.2 
analytic functions: the definition 

W 2/10 
II.3 
CauchyRiemann equations 

F 2/12 

... 
A #3 DUE
Assignment #4 
M 2/15 
II.5 
harmonic functions 

W 2/17 

...
worksheet: harmonic conjugates 

F 2/19 

MIDTERM EXAM I
review topics and guide 
MIDTERM EXAM I 
M 2/22 
II.6 
conformal mappings 

W 2/24 

... 
A #4 DUE 
F 2/26 
II.7 
Möbius transformations
Matlab script illustrating the Joukowsky transformations: visjouk.m 
A #4 DUE
Assignment #5 
M 2/29 

...
worksheet: constructing Möbius transformations 

W 3/2 
III.1 
real line integrals and Green's theorem 

F 3/4 
III.2 
path independence
Matlab script illustrating f(z) = z + 1/z: ellipsemovie.m; generates this animated gif 

M 3/7 

... 
A #5 DUE
Assignment #6 
W 3/9 
III.4 
mean value property 

F 3/11 
III.6 
fluids 

M 3/14  F 3/18 

no class: Spring Break 

M 3/21
(Bueler away: see slides!) 
IV.1 
complex line integrals
slides covering sections IV.1, IV.2, and I.6 
A #6 DUE at NOON in my mailbox in Chapman 101
Assignment #7 
W 3/23
(Bueler away: see slides!) 
I.6 
complex logarithms 

F 3/25
(Bueler away: see slides!) 
IV.2 
FTC for complex functions 

M 3/28 
IV.3 
Cauchy's theorem 

W 3/30 
IV.4 
Cauchy integral formula 
A #7 DUE
Assignment #8 
F 4/1 

...
Matlab script generating fractals "f(z)=0": newtonfractal.m 

M 4/4 

... 

W 4/6 

MIDTERM EXAM II
covers I.6, II.5, II.6, II.7, III.1, III.2, III.3, III.4, IV.1, IV.2;
i.e. content of A#4A#7, but not A#8
review topics and guide 
MIDTERM EXAM II 
F 4/8 
IV.5 
Liouville's theorem 

M 4/11 
IV.6, IV.7, IV.8 
Morera's theorem, Goursat's theorem, "complex notation" 
A #8 DUE
Assignment #9 
W 4/13 
V.1 
series
worksheet: series of real numbers 

F 4/15 
V.2 
sequences and series of functions 

M 4/18 

... 
A #9 DUE
Assignment #10 
W 4/20 
V.3 
power series 

F 4/22 

no class: SpringFest 

M 4/25 

...
Matlab scripts for nowheredifferentiable function, and corresponding analytic function on disk: bumpy.m, boundarybumpy.m 
A #10 DUE 
W 4/27 
V.4 
power series of analytic functions 
A #10 DUE 
F 4/29 
V.5 
power series at infinity 

M 5/2 
VI.1 
Laurent decomposition 

Th 5/5 

FINAL EXAM 8:0010:00am Bunnell 410
covers all sections on Midterms I and II, plus a focus on sections IV.3, IV.4, IV.5, IV.6, V.1, V.2, V.3, V.4
review topics and guide 
FINAL EXAM 