Ed Bueler: felb@uaf.edu, x7693
Office: Chapman 301C ( Hours)
Class times and rooms:
MWF 9:15-10:15 GRUE 410
Tu
9:45-10:45 BROOKS 302
Texts:
- Schey, Div, Grad, Curl and
All That (Norton 3rd Ed.,
$32)
- Farlow, Partial
Differential Equations for Scientists and Engineers (Dover, $16)
Link to Syllabus Here
Parts of course
- Div, Grad, Curl,
Gradient, and
Laplacian
- Boundary value
problems for partial differential equations, separation of variables,
and Fourier series
ON RESERVE IN RASMUSSEN (24 hour checkout):
- Brown and Churchill, Fourier
Series and Boundary Value Problems
LINKS:
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Schedule: (my
planning document, version 12/7/04)
Day
|
Text Chapter
|
Topic
|
Assigned or Due
|
F 9/3
|
I
|
introduction,
syllabus, electric fields (as example)
|
Assignment
#1
|
M 9/6
|
no
class
|
(Labor
Day)
|
|
T 9/7
|
I |
vector
fields, overview of calc III |
|
W 9/8
|
II |
surfaces,
normal vectors
|
|
F 9/10
|
II |
surface
integrals |
|
M 9/13
|
II |
surface
integrals, cont. |
Assignment
#2
|
T 9/14
|
II |
flux,
Gauss' law
|
A#1 DUE (CHANGE)
|
W 9/15
|
II |
divergence |
|
F 9/17
|
II |
divergence
in other coordinates
|
|
M 9/20
|
II |
divergence
theorem |
A#2 DUE
|
T 9/21
|
II
|
cont.
|
Assignment
#3 |
W 9/22
|
III
|
line
integrals
|
|
F 9/24
|
III
|
path
independence and curl
|
|
M 9/27
|
III
|
curl
in other coords |
A#3 DUE |
T 9/28
|
III
|
Ampere's
law, Stoke's theorem |
|
W 9/29
|
III
|
Stoke's thm
cont.
|
Assignment
#4 |
F 10/1
|
III
|
cont
|
|
M 10/4
|
III
|
problems/examples/issues
|
|
T 10/5
|
III/IV
|
problems
cont.
the gradient,
|
Assignment
#5 |
W 10/6
|
IV
|
gradients
and potentials |
A#4 DUE |
F 10/8
|
IV
|
Laplace's
equation |
|
M 10/11
|
IV
|
Laplace
cont., finding potentials |
|
T 10/12
|
IV
|
directional
derivatives, gradients in coordinates
|
A#5 DUE |
W 10/13
|
Review
|
Review
|
|
F 10/15
|
Lesson
1
|
types
of PDEs
|
|
M 10/18
|
Exam
|
DivGradCurl
Exam |
|
T 10/19
|
Lessons
1,2
|
a
easy PDE; Newton's law of cooling
|
Assignment
#6
|
W 10/20
|
Lesson
2
|
heat
equation
|
|
F 10/22
|
Lesson
3
|
cont
|
|
M 10/25
|
Lesson
4
|
cont
|
A#6 DUE
|
T 10/26
|
L 5
|
separation
of variables and Fourier sine series
|
Assignment
#7 |
W 10/27
|
review
|
review
of ODEs |
|
F 10/29
|
L 5
cont
|
sep
of vars cont
|
|
M 11/1
|
L 6
|
transform
nonhomogeneous BCs
|
|
T 11/2
|
interlude
|
vibrating
string/wave equation
|
A#7 DUE |
W 11/3
|
L 7
|
harder
eigenfunction problems
|
Assignment
#8 |
F 11/5
|
L 7
cont
|
cont;
Sturm-Liouville problems
|
|
M 11/8
|
L 8
|
more
transformations
|
|
T 11/9
|
L 9
|
eigenfunction
expansions
|
A#8 DUE
Assignment
#9
|
W 11/10
|
review
|
review
for midterm
|
|
F 11/12
|
review,
HANDOUT |
review
cont.
convergence
of Fourier series
|
A#9 DUE
SOLNS TO A#8
SOLNS TO A#9
|
M 11/15
|
Exam
|
Midterm
Exam (on PDEs)
Covers:
Lessons 1-9 of Farlow plus simple vibrating strings problems (see
interlude above).
|
|
T 11/16
|
HANDOUT
|
one-sided
derivatives; best approximation
|
Assignment
#10 |
W 11/17
|
HANDOUT
|
best
approx. cont., proof of Dirichlet's theorem (theorem on p. 90)
|
|
| F 11/19 |
HANDOUT
|
proof
cont., applications
|
|
M 11/22
|
HANDOUT
|
cont.
|
|
T 11/23
|
L 11
|
Fourier
series vs. transforms; spectrum
|
A#10 DUE |
W 11/24
|
L 11
|
F.
transforms
|
|
F 11/26
|
no class
|
(Thanksgiving break)
|
|
M 11/29
|
L
11, L 12
|
F.
transforms, cont.
|
|
T 11/30
|
L 12
|
solution
to heat equation by F. transforms and convolution
|
Assignment
#11 |
W 12/1
|
L
16, 17
|
wave
eqn; D'Alembert's solution
|
|
F 12/3
|
L 17
|
D'Alembert's
solution |
|
M 12/6
|
L 18
|
cont
|
Assignment
#12
A#11 DUE |
T 12/7
|
L 30
|
vibrating
drum head
|
FINAL
EXAM
|
W 12/8
|
L 35
|
heat
in the earth
|
|
F 12/10
|
|
|
A#12 DUE |
M 12/13
|
|
|
|
T 12/14
|
no class
|
(finals week)
|
|
Th 12/16
|
FINAL
|
FINAL
DUE NOON!!!
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