# Assignments

### Assignment 7,

NOT TO BE HANDED IN
You are responsible for the material these problems are based on however. I will give out a solution sheet on Wednesday March 29.
• Section 8.2, numbers 3, 11, 12, 25
• Section 8.4, numbers 5, 9, 10

### Assignment 6,

Due Wednesday March 29, 4:30 PM
The solution sheet will be posted outside my office as of Thursday March 30, and will be available in class on Friday March 31.
• Section 7.3, numbers 11ab, 14
• Section 7.4, numbers 4, 7
• Section 7.5, number 7
• Section 7.6, number 9
• Page 464, numbers 22, 26
• Section 8.1, numbers 4, 9, 13

### Assignment 5,

Due Friday March 10, 4:30 PM
• Section 4.2, numbers 5, 6
• Section 4.3, numbers 2, 3, 4
• Section 7.1, number 11
• Section 7.1, number 12 or 13 (I had originally assigned 13 in class, and 12 on the web. So now you can do whichever one you want.)
• Section 7.2, numbers 2cd (do c both ways), 6, 15, 16

### Assignment 4,

Due Monday February 21, IN CLASS
• Section 6.2, numbers 8, 11, 13, 17, 22, 23, 26, 28, 31

### Assignment 3,

Due Friday February 4, 4:30 PM
Postponed to Monday February 7, 4:30 PM
Also note a small change in the second to last problem. It should be the plane y=0, rather than x=0.
• Section 5.3, numbers 7, 13
• Section 5.4, number 2acd
An error on the solutions sheet has been pointed out to me. In part d, the antiderivative should be sec^5/5, not sec^6/6, making the solution (4 sqrt 2 -1)/5.
• Section 5.6, number 12
• Section 5.6, number 14 (evaluate it in the given order, and also rewrite it as a triple integral in the order dx dz dy)
• Section 5.6, number 19 (rewrite it using all 6 possible orders of the variables, and then evaluate one of these expressions)
• Let V be bounded by the surfaces x^2+z=9, z=x^2+3y^2. Express the volume of V as a triple integral in the orders dz dy dx, and dy dz dx. Do not evaluate.
• Find the triple integral of z over the region V bounded by the surfaces y=0, z=0, y^2+z^2=4, x+y=2, 2y+x=6.
• Section 6.3, number 3 (read that section for the necessary definitions)
Note that I am using the notation x^2 to denote the square of x.

### Assignment 2,

Due at the beginning of class (or before class in the course mailbox) on Monday January 24.
• Section 3.5, numbers 4, 5, 6, 8

### Assignment 1,

Due Monday January 17, by 4:30 PM
(either handed in during class, or put in the course mailbox, on the 5th floor, North wing of the Ross building, by the elevators)
• Review chapters 1 and 2 of the text.
I spent time on the material from the following sections, which I felt were new:
• 1.5
• 2.2 (open sets - p. 94)
• 2.3 (p. 119 and 120)
• 2.5 (I'll do this Jan 10)
• 2.7 (Theorems on p. 157 and 159)
But in fact, the whole chapter should now be material you have seen at some point, and should have some level of familiarity with.
• Section 2.3, numbers 8ac, 12ab
• Section 2.5, numbers 5a, 10, 24.
In number 5a, you should compute d(foc) three ways:
• By finding foc as a function of t and then differentiating.
• By using the coordinate expression of the text (bottom of p. 135).
• By using the matrix form of the chain rule.
• Section 2.7, number 5.