Ed Bueler
elbueler@alaska.edu
474-7693
Office: Chapman 301C ( hours)
Class times and rooms:
MWF 9:10--10:10 GRUE 202
note:
starts &
ends
5
minutes
early on MWF!
Tu 9:45--10:45 CHAP 106
Texts:
- Schey,
Div, Grad, Curl and
All That, 4th edition
Norton 2005
- Farlow,
Partial
Differential Equations for Scientists and
Engineers, Dover 1993
Syllabus Here
Prior course: Math 421 Fall
2007
Two
Parts of
Course:
- from Schey: vector
calculus (= surface integrals, div, line
integrals, curl, laplacian,
potentials, grad, directional derivatives)
- from Farlow:
boundary value problems for partial differential
equations, separation
of variables, and Fourier series
LINKS:
|
Schedule: (version
12/18/11 FINAL)
Day
|
Text Chapter
|
Topic
|
Assigned or Due
|
F 9/2
|
I
|
introduction
vector functions (fields)
|
Assignment
#1:
I
(pp 8--9):
1aefh, 2, 3ac, 4, 5
II
(pp 52--53):
1abe, 2
|
M 9/5
|
|
no class: Labor
Day
|
|
T 9/6
|
I |
electric fields
(as example)
|
|
W 9/7
|
II
|
cont; surfaces
|
|
F 9/9
|
II |
unit normal
vector fields
|
A #1 Due
|
M 9/12
|
II |
cont
|
A
#1 Due
Assignment
#2:
II
(pp 52--58): 4ac, 5ac, 8, 10ab,
11,
13ab,
14abeg,
16b,
17,
19, 20
|
T 9/13
|
II |
surface
integrals
|
|
W 9/14
|
II |
Gauss' law;
flux |
|
F 9/16
|
II |
cont
|
|
M 9/19
|
II
|
divergence |
|
T 9/20
|
II
|
div in
other coordinates |
A #2 Due |
W 9/21
|
II
|
divergence
theorem
|
A #2 Due
|
F 9/23
|
III
|
cont.
|
A #2 Due
RE-REVISED DATE!
Assignment
#3:
II (pp 58--62): 22, 23ac, 24, 25,
27ab
III (pp 104--105): 2, 3abch, 4ab,
6, 7
|
M 9/26
|
III
|
line
integrals
path independence
(Bueler away;
subst.)
|
|
T 9/27
|
III
|
curl
curl in other coords
(Bueler away;
subst.)
|
|
W 9/28
|
III
|
cont.
(Bueler away;
subst.)
|
|
F 9/30
|
II |
divergence
thm
cont
|
|
M 10/3
|
II
|
cont.
|
|
T 10/4
|
III
|
line
integrals, curl
|
|
W 10/5
|
III
|
cont;
curl in cylindrical |
Assignment #4:
III (pp 105--112):
9, 10a, 12, 14,
15a,
19, 20, 22a
IV (pp 144--149):
1a, 1bc,
2acdg, 3, 4a,
8,
9, 10, 15
|
F 10/7
|
III |
Stoke's
theorem |
A
#3 Due |
M 10/10
|
III |
cont
|
|
T 10/11
|
IV |
path
independence; gradients;
potentials |
|
W 10/12
|
IV |
Laplace
eqn
finding potentials |
A #4 Due
|
F 10/14
|
Review |
review;
problems from IV |
A
#4 Due (REVISED
DATE)
(make
yourself
a copy of what you turn in; I will distribute
solutions
immediately)
|
M 10/17
|
Exam
|
Vector
calculus Exam
(in-class exam; covers Schey)
|
|
T 10/18
|
L
1
|
types
of PDEs;
wave equation
|
|
| W 10/19 |
|
cont.
|
from in-class
session:
wavemovie.m
|
| F 10/21 |
|
cont
|
Assignment #5 (PDF)
|
| M 10/24 |
L
2
|
heat
equation
|
|
| T 10/25 |
L
3, L 4
|
derivation
of heat eqn
|
|
| W 10/26 |
|
cont
|
|
| F 10/28 |
L
5
|
separation
of variables
Fourier sine series |
A #5 Due |
M 10/31
|
|
cont;
variation |
A
#5 Due
from in-class session:
showexpheat.m
|
| T 11/1 |
review
|
review
of trig integrals |
Assignment #6:
Lesson 4: 2
Lesson 5: 3, 4, 5
Lesson 6: 2, 3
Lesson 7: 1, 2
|
| W 11/2 |
L
6
|
nonhomogeneous
BCs
|
|
| F 11/4 |
L6
|
cont
|
|
| M 11/7 |
review
|
review
of ODEs
|
|
| T 11/8 |
L
7 |
new
eigenfunction problems |
A #6 Due |
| W 11/9 |
L
7
|
cont
|
|
F 11/11
|
L
8 |
more
transformations |
A
#6 Due
Midterm
Exam
from in-class session:
tanroots.m
|
M 11/14
|
|
in-class
work: start A#7 in public
|
Assignment
#7 (PDF)
photos from in-class:
P3photo.jpg
P4photo.jpg
P5photo.jpg
|
T 11/15
|
L
9
|
eigenfunction
expansions |
|
W 11/16
|
|
cont
review for exam |
A
#7 Due |
F 11/18
|
Exam
|
Midterm
Exam (on PDEs; in class exam)
|
Midterm
Exam |
| M 11/21
|
L
20 |
vibrating
string |
|
| T 11/22 |
L16, L17, L18
|
cont.;
recalling D'Alembert's solution; space-time
diagram
|
Assignment #8 (PDF) |
| W 11/23 |
L11 |
Fourier
Series
|
|
| F 11/25 |
|
no class:
Thanksgiving break |
|
| M 11/28 |
|
cont.
|
|
T 11/29
|
|
frequency
spectrum and complex Fourier series
|
from in-class
session:
showfourier.m
the "applet" I showed in class:
www.falstad.com/fourier/
|
W 11/30
|
|
Fourier
transform |
A
#8 Due
Assignment #9 (PDF)
|
F 12/2
|
|
cont
|
|
M 12/5
|
L
12 |
solution
to heat equation by F. transforms and convolution |
|
T 12/6
|
|
cont |
FINAL EXAM
(take-home) (PDF) |
W 12/7
|
L
31
|
Laplacian;
in polar coordinates
|
A
#9 Due |
F 12/9
|
L 33
|
Dirichlet
problem on a disc
|
|
M 12/12
|
L 30 |
cont; vibrating drum head
|
last day of
instruction
note on E1(b)&(c)
on Final
Exam (PDF)
from in-class session:
bidisc.m
|
Thursday
12/15
(revised)
|
FINAL
|
TAKE HOME
FINAL
DUE at 5pm
|
TAKE HOME FINAL
DUE at 5pm in
my
office box (Chapman 101)
solutions to
Final Exam (PDF)
from these solns:
compareheat.m
squaredrums.m
|
|
