Multivariable Calculus - Problem Sets
Spring 2007, Math 236

January and February, 2007

Be sure to check back often, because assignments may change!

As you know from reading the Guidelines for Homework Presentation, I generally expect a lot from completed homework. Even more than in Calc 1 or Calc 2, balancing your need to get plenty of practice using new techniques with exploring deeper ideas means a lot of homework. In order to lessen the burden on you a bit, I've decided to divide the problems into two groups: those that you need to write up following the homework guidelines, and those that you can turn in done in considerably less detail. If you look at the problem sets listed below, you'll see that each problem set consists of problems listed in black, and problems listed in bold red.

• If I am assigning a Writing Exercise or Exploratory Exercise, I will refer to it as, for instance WE #2, or EE#3.
• Those problems listed in black generally are the problems you'll want to do first, to make sure you understand the techniques. They will generally be odd, so that you can check your solutions. I will not grade individual problems (you're responsible for checking whether they're right or not), I will just check that you did them. They will usually account for up to 5 points of your total score on a problem set. Write them up in whatever level of detail you feel will be helpful to you; there is no need to recopy them. Put them at the back of the problem set.
• Those problems listed in bold red are the focus problems. These may include a few technique problems, but will generally consist of problems that make use of the techniques you've learned in a more conceptual way. I will grade these problems in detail, and as such, you should follow the homework guidelines when you're writing them up, including recopying them. Each of these will graded out of 5 or 10 points. Put the focus problems together at the front of your problem set.

Due Friday 2/2
PS 1: Group Assignment

Section 10.1: 1, 3, 7, 13, 15, 17, 21, 25, 26, 35, 40, 43, 44
Section 10.2: 1, 7, 11, 13, 20, 27, 31, 33, 35, 44, 48, 54, 55
Section 10.3: 5, 9, 13, 17, 24, 25, 26, 27, 31, 34, 47, 51, 52
Section10.4: 3, 5, 9, 13, 17, 24, 27, 50, 60

Due Friday 2/9
PS 2: Individual Assignment

Section 10.5: 4, 8, 13, 18, 23, 27, 33, 41, 46, 52, 54
Section 10.6: 11, 24, 45, 47, 50, 53
Section 11.1: 3, 5, 19, 51

Due Friday 2/16
PS 3: Group Assignment

Section 11.1: 16, 31 (don't just look at the graphs on Maple!), 33, 39, 49
Section 11.2: 5, 7, 14, 16, 19, 25, 27, 36, 38 (for #38, only look back at #36), 42
Section 11.3: 5, 13, 22, 25, 27, 29, 33, 45

Due Friday 2/23
PS 4: Individual Assignment

Section 11.4: 7, 11, 19, 26, 33, 37 (only address #33)
Section 11.5: 7, 13, 21, 29, 31, 34
Section 11.6: 3, 10, 15, 17, 22
(For 3 and 10: first, use algebra and various identities to find an equation
for the surface in x, y, and z. Identify it if it's one of the quadric surfaces.
Then graph the surface using Maple.)

That's it for January and February's assignments.
Go to the problem sets for March!

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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