Week  Lecture Number  Assignment  Solutions 




Week 1 
1. Class 
9.1: 8,14,18,32,42 
913.pdf

Week 1 
2. Class 
9.2: 30,44 9.3: 22,44,46 
913.pdf

Week 2 
1. Class 
9.4: 14,20,26,36,42 
94.pdf

Week 2 
2. Class 
9.5: 10,20,30,50,62 
95.pdf

Week 2 
3. Class 
9.6: 2,8 (and sketch graph), (15 and 27 together),28,32 
96.pdf

Week 3 
1. Class 
10.1: 1924,38,44, 10.2: 20, 10.4: 28 
1014.pdf

Week 3 
2. Class 
10.3: 2,6,8,12,24 
102.pdf

Week 3 
3. Class 
9.7: (6 and 10 together),16,18,20,24 
97.pdf

Week 4 
1. Class 
10.5: 6,1318,26,34,Problem A 
1056.pdf

Week 4 
2. Class 
11.1: 1518, 3540 11.2: 8,34,38 
111.pdf

Week 4 
3. Class 
11.2: 22 (no computer needed) 11.3: 6,28,36,66 
1123.pdf

Week 5 
1. Class: midterm 


Week 5 
2. Class 
11.3: 70,72,76,88 Problem B 
113.pdf

Week 5 
3. Class 
11.4: 4,14,16,18 Problem C 
114.pdf

Week 6 
1. Class: No homework due to Columbus 


Week 6 
2. Class 
11.5: 4,28,32,36, Problem D Sol 
115.pdf

Week 6 
3. Class 
11.6: 20,28,44,50, Problem E Sol 
116.pdf

Week 7 
1. Class 
11.7: 4,10,12,44,50 
117.pdf

Week 7 
2. Class 
11.8: 6,12,16,20,40 
118.pdf

Week 7 
3. Class 
11.8: 18,24,26. Review: 56,60 
118r.pdf

Week 8 
1. Class 
12.2: 4,8,28,36, Problem F Sol 
122.pdf

Week 8 
2. Class 
12.2: 18,38. 12.3: 36,50,52 
123.pdf

Week 8 
3. Class 
12.4: 8,22,28,34. 12.5: 2 
124.pdf

Week 9 
1. Class 
No homework due to second hourly 

Week 9 
2. Class 
12.6: 2,8,12,22,26 
126.pdf

Week 9 
3. Class 
12.7: 8,14,32,44,52 
127.pdf

Week 10 
1. Class 
12.8: 4,10,16,36,40 
128.pdf

Week 10 
2. Class 
no homework due to Veteransday 

Week 10 
3. Class 
13.1:22,36 13.2:18,20,48 
1312.pdf

Week 11 
1. Class 
13.3: 10,18,22,24,3134 
133.pdf

Week 11 
2. Class 
13.4: 8,10,12,14,20 
134.pdf

Week 11 
3. Class 
13.5: 6,10,12,29,38a)c) 
135.pdf

Week 12 
1. Class 
13.6: 22,24,28,42,47 
136.pdf

Week 12 
2. Class 
13.7: 6,8,10,14,18 
137.pdf

Week 12 
3. Class 
No homework due Thanksgiving 

Week 13 
1. Class 
13.8: 2,10,18 13.9: 32,34 
138.pdf

Week 13 
2. Class 
Mathematica project due Wed/Thu 





 Homework is due at the beginning of class.
We do not accept electronic HW submission. If you do the homework
with a word processor like LateX, print it out and submit the paper.
 Please staple your homework.
 No late homework accepted but will delete the least 3 scores
for MWF sections and 2 for TTh sections. Reserve these 3 "Joker"
cards for emergencies.
 Collaborations are welcome however you must turn in your
own copy and list on it the names of your collaborators.
 Similarly, acknowledge the use of Mathematica. If you use Mathematica,
nevertheless, write down all steps of your computation or print out the
Mathematica notebook, you authored.
 If you can not turn in your homework because of a religious holiday
like Yom Kipur, turn it in earlier or give it to a friend
to turn it in.

 Please write legibly and indicate clearly, where a new problem starts.
 Try to keep the problems in order.
 Use words to explain your work, if necessary. Show your work.
Answers without explanations are given zero points.
 If unable to finish a problem, indicate where you are
stuck. This will help us to give partial credit.
 Please inform about typos, misprints. We state here corrections
to the in class distributed texts as well as to the posted solutions.
Each hint gives you a bonus point. The texts posted here are corrected.
 (+Sol) means solutions have been posted.
 Homework scores from individual sections will be adjusted in the end
because different graders grade each section.

Grading: Each of the 5 problems assigned per unit is worth 10 points.
Course assistants are encouraged to grade interpolating the following rubric:
 10 Points. Work is completely accurate and essentially perfect.
Work is thoroughly developed, neat, and easy to read.
Complete sentences are used where appropriate.
 59 Points. Work is good, but incompletely developed, hard to read
or unexplained. Answers that are not explained may received
2 points even if correct. The work contains the right idea
but is flawed.
 35 Point. Work is sketchy. There is some correct work,
but most of the work is incorrect.
 03 Points. Work is minimal or nonexistent. Solution is completely
incorrect. Only the answer is given.

Problems 28 in 9.6 asks you to plot something with a computer.
You can use any software for that. If you should want to give Mathematica a
try, here is an example on how to plot
Plot3D[Exp[Cos[x]  Sin[y]],{x,4,4},{y,4,4},PlotRange> All]
You can also use the Wolfram Alpha, an
online version of Mathematica. Just enter something like
Plot Exp[ Cos[x]  Sin[y] ]
into the search field. You still have the task to figure out how to tweak things so that
it looks well.

Updated homework policy in case of Swine flu:
If you should fall ill from swine flu and not able to attend classes.
please do the following:
 please get a confirmation from your doctor or Harvard university health services
indicating from when to when you were ill.
 either use a joker for the homework (they are for such cases and not for boosting
homework grades) or
 do the homework late and grade the homework yourself with the help of the solutions
you find on the website. Turn this homework to your CA at the usual time at the beginning
of class together with a note confirming that you could not come to class due to a H1N1 flu case.
Your CA can give credit for such late if the paperwork is done and the paper is
selfgraded. If you prefer not to attach the doctors note to the paper, drop the note in
Oliver's office 434 (leave under door if Oliver is not in).

