HW # 
Assignment 
Due 
Solutions 
Primer 
Problem Set 0 
M. September 27 (MWF) or T September 28 (TTh) 
Primer Solution 
Problem Set 1 
Section 5.2 #18,32,35
Section 6.1 # 2,25,36
# 1,2 on Integration Handout B
Start #19 on the handout. It is due in a week. 
W Sep 29 (MWF) or
Th Sep 30 (TTh) 
Solution 1 
Problem Set 2 
#3, 4, 5 on Integration Handout B
Section 6.2 #2, 10, 12, 23
OptionalReading: Supp. 27.2 (pp. 843850)

F Oct 1 (MWF) or
T Oct 5 (TTh) 
Solution 2 
Problem Set 3 
# 6, 7, 8, 9, 10 on Integration Handout B
Section 6.2 #25, 28
Optional Reading: Supp. 28.1 (pp. 8536)

M Oct 4 (MWF) or
T Oct 5 (TTh) 
Solution 3 
Problem Set 4 
# 11, 12, 13, 14, 19 on Integration Handout B

W Oct 6 (MWF) or
Th Oct 7 (TTh) 
Solution 4 
Problem Set 5 
#15, 18 on Integration Handout B where on #18 it should read x=0 rather than t=0 (or change all x's to t's if you prefer)
Section 6.3 #1, 4 Section 6.4 # 2, 6, 11
For extra credit do #16 on the integration Handout
Optional Reading: Supp. 28.2 pp. 8657

F Oct 8 (MWF) or
T Oct 12 (TTh) 
Solution 5 
Problem Set 6 
# 17 on Integration Handout B
Section 6.5 #4, 7, 8, 10, 11, 14
Optional Reading: Supp. 28.2 (pp. 86771)

W Oct 13 (MWF) or
T Oct 12 (TTh) 
Solution 6 
Problem Set 7 
Section 5.5 # 22, 30, 31, 45, 55, 62
#20 on Integration Handout B
Optional Reading: Supp. 25.2 and 25.3 (pp. 787804)

F Oct 15 (MWF) or
Th Oct 14 (TTh) 
Solution 7 
Problem Set 8 
Section 5.6 #4, 6, 9, 14, 18, 22, 28
#21 on Integration Handout B
Extra credit: Section 5.6 #34
Optional Reading: Supp. 29.1 pp 877885

M Oct 18 (MWF) or
T Oct 19 (TTh) 
Solution 8 
Problem Set 9 
Section 5.7 #16, 18, 24, 27 (you can do this more easily via substitution: the choice is yours), and #29.
# 22, 23 on Integration Handout B
Optional Reading:Supp. 29.3 p. 898902 and, if you like, 29.2 p. 886.

W Oct 20 (MWF) or
T Oct 19 (TTh) 
Solution 9 
Problem Set 10 
Section 5.10 #6, 7, 55
5.9 # 2
# 24, 26 on Integration Handout B
Also on the integration handout B you can do #25 for extra credit. Extra credit: 5.10 #50 and 5.9 # 35.
Optional Reading:Supp. 29.4 p. 903914 and, if you like, 26 p. 805  816.

F Oct 22 (MWF) or
Th Oct 21 (TTh) 
Solution 10 
Problem Set 11 
Section 5.10 #2, 20, 24, 29, 49, 51

M Oct 25 (MWF) or
T Oct 26 (TTh) 
Solution 11 
Problem Set 12 
Section 6.7 # 4ab, 6 (refer to Example 2)
Extra credit: 6.7 #10 
W Oct 27 (MWF) or
T Oct 26 (TTh) 
Solution 12 
Problem Set 13 
#1, 3 on Series Handout A

F Oct 29 (MWF) or
Th Oct 28 (TTh) 
Solution 13 
Problem Set 14 
# 2, 4, 7, 8 on Series Handout A
8.1 #39; 8.2 #1, 2, 16, 18, 20
optional reading: Supp 18.1, 18.2, 18.3

M Nov 1 (MWF) or
T Nov 2 (TTh) 
Solution 14 
Problem Set 15 
8.2 #34, 48, 51
8.3 # 4, 10, 19, 20

W Nov 3 (MWF) or
T Nov 2 (TTh) 
Solution 15 
Problem Set 16 
8.3 #1, 2, 5, 9, 15, 16, 18, 22
# 9 on Series Handout A
optional reading G: 30.5 pp. 964 972

F Nov. 5 (MWF) or
Th Nov 4 (TTH) 
Solution 16 
Problem Set 17 
In the supplement on the web do
S 30.1 # 2, 9, 11 (hint for (b)  look at the graph of tan x), 12, 13 (use your work from
2
# 10 on Series Handout A

M Nov 8 (MWF) or
T Nov 9 (TTh) 
Solution 17 
Problem Set 18 
8.7 in Stewart #7, 13, 18, 20
# 11, 12 on Series Handout A
In 30.1 do # 20.
Reading: 8.7 pp. 613mid 614. (We'll return to 8.7.) In the supplement on the web middle of page 947 through mid p.948.

W Nov 10 (MWF) or
T Nov 9 (TTh) 
Solution 18 
Problem Set 19 
8.4 #12, 13, 19 (explain your reasoning carefully)
# 13, 14, 15 on Series Handout A

F Nov 12 (MWF) or
T Nov 16 (TTh) 
Solution 19 
Problem Set 20 
8.4 #20, 22, 31, 32, 33(notice that this is the Taylor series for e^x)
# 17, 18, 19 on Series Handout A
optional reading: G:30.5 convergence tests pp. 964977

M Nov 15 (MWF) or
T Nov 16 (TTh) 
Solution 20 
Problem Set 21 
8.5 #4, 12, 16, 18, 20
8.6 #11
#20, 21 on Series Handout A

W Nov 17 (MWF) or
Th Nov 18 (TTh) 
Solution 21 
Problem Set 22 
8.7 #11, 23, 29, 38
# 22 on Series Handout A

F Nov 19 (MWF) or
Th Nov 18 (TTh) 
Solution 22 
Problem Set 23 
This is NOT to be turned in. Some of these problems will be done in a coursewide review. Answers will be posted.
8.5 #23a; 8.6 #6, 16; 8.7 # 31; 8.9 #20, 22, 23
#25 on Series Handout A
Concept Check on p. 640 (Stewart) #3,4,10, 11ad and the True/False Quiz # 17 and 11

before Monday, Nov 22 (MWF/ TTH)

Solution 23 
Problem Set 24 
Take the exam.

M Nov 22 (MWF/
TTh)
 
Problem Set 25 
Enjoy Thanksgiving Break!



Problem Set 26 
#1, 2,3,4, 5, 7 on Differential Equations Handout
Stewart: 7.1 #7, 11
Stewart 7.2 #36
(use the web applet under the supplements page: dfield to help with the handout and to check your answers to 7.2.)

W Dec 1 (MWF) or
Th Dec 2 (TTh) 
Solution 26 
Problem Set 27 
#6, 8, 9 on
Differential Equations Handout A
Stewart 7.3 #4, 16, 29, 33, and 36.

F Dec. 3 (MWF) or
T Dec 7 (TTh) 
Solution 27 
Problem Set 28 
Supplement 31.3 (p. 10141016) #1,2,3,5,6, 7
Stewart 7.3 #34 and 7.4 #19
Relevant reading is section 31.3 (pp. 10021017 in the supplement. At this point we've covered 31.131.4 in the differential equations chapter in the supplement.

M Dec. 6 (MWF) or
T Dec 7 (TTh) 
Solution 28 
Problem Set 29 
Read the First Order Linear Diff Eqns handout under "supplements" and do problems 1,2 (with the condition that $x>0$), and 3 at the end of the handout.
Do #10 (part (b) should refer to 10(a)(i) not 4ai), 11, 12,
on
Differential Equations Handout A version II

W Dec. 8 (MWF) or
Th Dec 9 (TTh) Note: TTH sections:
Your TF may assign a couple of problems from PS #30 as well. You'll find out in class. 
Solution 29 
Problem Set 30 
Stewart 7.6 #1,2 plus Chapter 7 Rev. p. 559 #20 (in (d) the trajectories are closed) and 21
Do #13, 15 on
Differential Equations Handout Be prepared to put your answer to #15 on the board the date the assignment is due. Full credit for 15 will be given as long as you turn in a thoughtful answer. .
Read the supplement 31.5 (pp. 1024  1040) and Stewart 7.6

F Dec. 10 (MWF) or
T Dec 14 (TTh) 
Solution 30 
Problem Set 31 
In the supplement on p. 10421045 do #9,(in the note sent Friday I removed 13bc), 14
Do #14, 16 on
Differential Equations Handout
Stewart: 7.1 #5. (And look back at #4 that you did for the first ppreclass reading assignment. We'll refer to these examples in class on the week of the 13th.)

M Dec. 13 (MWF) or
T Dec 14 (TTh) 
Solution 31 
Problem Set 32 
From the supplement on p. 1044 do #13  where in (a) dy/dt = x, not 4x (as written there are no answers to (a)).
Plus, do the following two problems:
1. Consider the system dx/dt = .1x .1x^2 + xy dy/dt = y  0.1 y^2  xy .
Let x(t) be the number of thousands of animals of species X and y(t) be the number of thousands of animals of species Y. (a) Would this model a competive system? predator/prey? symbiotic?
(b) Do a phase plane analysis. Then look at the pplane program to see what the trajectories look like. x\
(c)Suppose x(0) = 0 and y (0) = 1. What do you expect in the long run? Suppose instead that x(0) and y(0) are both positive. What do you expect in the long run?
2. Consider the system dx/dt = y and dy/dt = x. (similar by not identical to Ex. 31.26 on p. 1031 of the supplement.
(a) Do a phase plane analysis.
(b) Show that x(t) = 4 cos t and y(t) = 4 sin t satisfy the system of differential equations. Verify that x^2 + y^2 = 16.
At t=0 (x(t), y(t)) gives the point (4, 0). Note that as t increases x decreases and y increases and the point (x(t), y(t)) travels around the circle of radius 4 in a counterclockwise direction. (You'll do more of this in Math 21a)
Read the supplement 31.6 (pp. 1045  1047)

W Dec. 15 (MWF) or
Th Dec 16 (TTh) 
Solution 32 
Problem Set 33 
In the supplement do #12 and 13 on p. 1050
Do #19,20, 21, 22 on
Differential Equations Handout
Read the supplement 31.6 (pp. 1048  1049)

F Dec. 17 (MWF) or
T Dec. 21 (TTh) 
Solution 33 
Problem Set 34 
Do #23, 24, 25, 26 on Differential Equations Handout
Do the handout on the supplements page entitled :last homework problem.

M Dec. 20 (MWF)
T Dec. 21 (TTH)t 
Solution 35 