Day
|
Chapter
|
Topic
|
Assigned or Due
|
Th
1/19
|
20
|
complex analysis: derivative
|
A#1 (PDF)
|
T
1/24
|
20
|
analytic functions and Cauchy-Riemann equations
and
consequences
notes on orthogonal vector fields
|
|
Th 1/26
|
20
|
power series
|
A#1 Due
A#2 (PDF)
|
T 1/31
|
20
|
zeros
|
|
Th
2/2
|
20
|
poles and singularities |
|
T 2/7
|
20
|
"inverses" and inverses of analytic
functions; branch cuts; Laplace equation on the disc
|
A#2 Due
A#3 (PDF)
|
Th 2/9
|
20
|
conformal maps and complex
potentials
|
|
T
2/14
|
20
|
complex integrals and Cauchy's theorem
|
|
Th
2/16
|
20
|
Cauchy's integral formula and series
|
A#3
Due (revised
date)
A#3 solns (PDF)
|
T 2/21
|
20
|
cont. |
A#4 (PDF)
|
Th 2/23
|
20
|
Cauchy
estimate, Liouville theorem
|
|
T 2/28
|
20
|
residues,
contour
integrals |
A#4 Due
A#4 solns (PDF)
A#5 (PDF)
|
Th 3/2
|
20
|
cont.
|
|
T 3/7
|
20
|
inverse
Laplace
transform
|
|
Th 3/9
|
|
in-class
MIDTERM
EXAM:
covers
content of Assignments #1 through
#5, especially definitions and calculations based
directly on the basic
ideas
|
|
TTh 3/14,16
|
|
NO
CLASSes; Spring
Break
|
|
T 3/21
|
17
|
linear
operators
|
A#5 Due
(revised
date)
A#5 solns (PDF)
A#6 (PDF)
|
Th 3/23
|
17
|
inner
products, orthogonality, Gram-Schmidt
|
|
T 3/28
|
17
|
adjoints
and Hermitian operators
|
|
Th 3/30
|
17
|
Sturm-Liouville
problems
|
|
T 4/4
|
17
|
cont.
|
A#6 Due
(revised
date)
A#6 solns (PDF)
A#7 (PDF)
|
Th 4/6
|
17
|
eigenfunction
expansions
|
|
T 4/11
|
[18]
|
heat
in a finite rod
|
|
Th 4/13
|
[18]
|
heat
in an infinite rod; heat kernel; similarity solutions
|
|
T 4/18
|
[18],
19
|
pure
transport
|
A#8
(PDF) |
Th 4/20
|
19
|
separation
of
variables in polar coords
drum.m
|
A#7 Due
(revised
date)
partial A#7 solns (PDF)
(others handed out
in class) |
T 4/25
|
[19],
Feynman
III.19
|
hydrogen
atom
|
A#8 Due
partial A#8 solns (PDF) (others in 3rd
edition solns manual)
A#9
(PDF)
|
Th 4/27
|
19
|
sep
of vars in spherical coords
plotsphereharm.m
|
|
T 5/2
|
[19]
|
hydrogen
atom; rotation
group |
A#9 Due
Final Exam (PDF)
|
Th 5/4
|
[19]
|
cont
|
|
Th 5/11
|
|
Take-home
FINAL EXAM due
5pm at my office |
FINAL
EXAM due
Final Exam Solns
(PDF)
|