| 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 square-rooting |
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 |
Cauchy-Riemann 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#4--A#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 nowhere-differentiable 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
8:00--10:00am 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 |
