Ed Bueler: elbueler@alaska.edu,
x7693
Office: Chapman 301C ( Hours)
Class times and rooms:
MWF 9:15--10:15
Gruening 208
Text:
- Nagle, Saff &
Snider, Fundamentals of
Differential
Equations, 7th edition
Syllabus
(revised)
LINKS:
|
Schedule: (version 5/4/09)
| Day |
Sect
|
Topic
|
Assigned
or
Due
|
1/23 Fri
|
1.1
|
intro
|
A#1
due Fri 1/30:
1.1 # 2,4,8,14,16
1.2 # 4,8,10,14,16,19,24
1.3 # 2,3,4,5,6,10a,
10c,10d,12,16,18
|
1/26 Mon
|
1.2
|
solutions,
and
when there is one
|
|
1/28 Wed
|
1.3
|
direction
fields
|
|
1/30 Fri
|
1.4
|
Euler's
method, the obvious approximation
|
A#1
DUE
A#1 Solutions (PDF)
A#2 due Mon 2/9:
1.4 # 2,8,10,11,12
2.2 # 1,3,4,8,10,12,13,18,
22,38
2.3 # 2,3,4,8,9,12,18,24,
25a,30
Group: project C, "Magnetic
dipole", on pp. 33-34 |
2/2 Mon
|
2.2
|
separable
eqns
|
|
2/4 Wed
|
2.3
|
linear
eqns
|
|
2/6 Fri
|
|
linear
cont
|
|
2/9 Mon
|
2.4
|
exact
eqns
|
A#2
DUE
A#2 Solutions (REVISED;
PDF)
A#3 due Mon 2/16:
2.4 # 2,4,6,10,12,14,15,22,
26,27,28,30,32
2.6 # 10,12,13,14
3.2 # 2,6,8,10,18,20,25,26
|
2/11 Wed
|
2.6
|
exact cont; "homogeneous"
eqns
|
|
2/13 Fri
|
3.2 |
compartmental analysis |
|
2/16 Mon
|
3.4
|
Newtonian mechanics
|
A#3
DUE
A#3 Solutions (PDF)
A#4; underlined are due Fri
2/27:
3.4 # 2,8,18,
3,12,14,24
3.5 # 1,2,
3,7
3.6 # 2,8,
3,7,10
|
2/18 Wed
|
3.5
|
electical circuits
|
|
2/20 Fri
|
3.6
|
improved numerics
|
|
2/23 Mon
|
|
MIDTERM
#1
covers sections 1.1, 1.2, 1.3, 1.4, 2.2, 2.3,
2.4, 2.6 (homogeneous only), 3.2
SOLNS TO MIDTERM
#1
(SAMPLE
EXAM,
SOLNS TO SAMPLE EXAM)
|
in
class exam; no calculators or notes
or book
|
2/25 Wed
|
4.1
|
numerics cont; 2nd order
eqns
|
|
2/27 Fri
|
|
2nd
order linear eqns cont
plot
of A(Omega),
B(Omega) for synchronous solutions of
y''+3y'+2y=sin(Omega t)
|
A#4
DUE (underlined only; others
not collected)
A#4
Solutions (PDF)
exer3pt6num8.m
|
3/2 Mon
|
4.2
|
homogeneous
case:
real roots
|
A#5
due Mon 3/16:
4.1 # 1,2,3,6,8
4.2 # 2,4,8,11,14,16,20,21,
22,28,29,30,38,39,43
4.3 # 2,4,8,11,14,18,22,24,
28,31abc,34,35
|
3/4
Wed
|
4.3
|
homogeneous
case:
complex roots
|
|
3/6
Fri
|
4.4
|
non-homogeneous:
undetermined
coeffs
|
|
3/9--3/13
|
|
SPRING
BREAK
|
|
| 3/16
Mon |
|
non-homo.
cont.
|
A#5
DUE
A#5
Solutions (PDF)
exer4pt3_28.m
A#6 due Mon 3/23:
4.4 # 2,3,10,12,14,16,22,28,30,34
4.7 # 10,11,14,30,32,38,46,47,49
Group project. IDE
lab "11.
Forced Vibrations: an introduction":
lab
as
PDF
IDE
Tool |
3/18
Wed
|
4.7 |
variable
coeffs: Cauchy-Euler and reduction of order
|
|
3/20
Fri
|
|
cont;
variation of parameters
|
|
| 3/23
Mon |
4.8
|
energy
|
A#6
DUE
A#6
Solutions (PDF)
A#7 due Mon 3/30:
4.7 # 33
4.8 # 2,5,6,7,8,11,17
4.9 # 4,6,8,16,17a,18
|
3/25
Wed
|
4.9
|
cont;
a bit more on mass-spring systems
|
|
3/27 Fri
|
|
cont
|
|
| 3/30 Mon |
5.1,5.2
|
systems of first-order
equations, like
connected tanks of fluid
|
A#7
DUE
A#7
Solutions (PDF)
exer4pt9_4.m
|
4/1 Wed
|
|
cont
|
A#8
due Mon 4/13:
5.2 # 2,3,6,8,19,20,31,32,38
5.3 # 2,5,6,10,13,16,19 [16&19 use Euler if not RK]
correct answer to
#11 in 5.3,
for reference
5.4 # 1,4,5,8,10,12,14,15,20,21,31
Euler's
method for systems applet
|
4/3 Fri
|
|
|
|
| 4/6 Mon |
|
MIDTERM
#2
covers sections 3.4, 3.5, 3.6, 4.1, 4.2, 4.3,
4.4, 4.7, 4.8, 4.9
SOLNS TO MIDTERM
#2
|
|
4/8 Wed
|
|
|
|
4/10 Fri
|
5.3
|
Euler's and other methods
for systems
|
|
| 4/13 Mon |
5.4
|
phase plane picture
|
A#8 DUE |
4/15 Wed
|
7.2
|
Laplace transform
|
A#8
DUE REVISED
A#8
Solutions (PDF)
A#9 due Mon 4/27:
7.2 # 2,4,6,10,14,15,20,22,23,25,27,
29abde
7.3 # 1,6,7,10,12,13,18,19,21,24,25,
29,30,31,32,35
7.4 # 2,5,6,8,13,14,16,18,25,26,27,28
|
4/17 Fri
|
7.3 |
cont
|
|
4/20 Mon
|
7.4 |
computing
inverse
Laplace transform
|
|
4/22 Wed
|
7.5 |
solving ODEs with Laplace
|
A#10 due Fri 5/1:
7.5 # 3,4,7,8,16,26,30
8.1 # 2,3,4,5,6,8,13 |
4/24 Fri
|
|
springfest:
no class
|
|
| 4/27 Mon |
8.1 |
Taylor series
|
A#9
DUE
A#9 Solutions (PDF)
|
4/29 Wed
|
8.2
|
manipulating series |
|
5/1 Fri
|
8.3
|
series solutions of ODEs
|
A#10
DUE
A#10 Solutions (PDF) slightly
revised
A#11 not due! (but covered on
final)
8.2 # 1,3,5,8de,9,11,13,19,21,23
8.3 # 11,13,19,23,25,29
|
| 5/4 Mon |
|
regular class day: finish
up, and review for final
|
A#11
Solutions (PDF)
|
5/8 Fri
|
|
FINAL
EXAM
8:00--10:00 am
IN CLASS
|
emphasis
(75%) on sections 5.2, 5.3, 5.4, 7.2, 7.3, 7.4, 7.5,
8.1, 8.2,
8.3; older material as needed; some problems compare older
methods to
new methods; about 25% review material
|
|
