Ed Bueler: ffelb@uaf.edu, x7693
Office: Chapman 301C ( Hours)
Class times and rooms:
MWF 9:1510:15
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. 3334 
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

nonhomogeneous:
undetermined coeffs


3/93/13


SPRING
BREAK


3/16
Mon 

nonhomo.
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: CauchyEuler 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 massspring systems


3/27 Fri


cont


3/30 Mon 
5.1,5.2

systems of firstorder
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
8:0010:00 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

