HOMEWORK
MTH 255H - Winter 2005

Ground Rules

Problems given by number refer to the optional text, Multivariable Calculus, by McCallum, Hughes Hallett, Gleason, et al (MHG). A copy of this text is on reserve in the library. Other problems are links to PDF files.

It is your job to explain your work to me clearly and completely. Here are some guidelines:
You may discuss homework problems with anyone you wish, but should explicitly acknowledge having done so.

Assignments

The Exercises at the end of each section in MHG are an excellent skills check, and the Check your Understanding questions at the end of each chapter are an excellent review. These problems will not be listed separately below, but you should attempt as many of them as you feel is appropriate. Solutions should not be turned in, but seek help if you have any questions.

Due 3/10/05
no homework this week
Due 3/3/05
Assigned:
§20.3: 20
§20.4: 22
Challenge (optional):
§20.3: 32
Due 2/23/05
Assigned:
§20.1: 12
§20.2: 6, 16
Challenge (optional):
§20.1: 22
Due 2/16/05
(Note change in due date.)
Assigned:
§19.1: 20, 22
§19.2: 15
Challenge (optional):
§19.2: 18
Due 2/7/05
no homework this week
Due 1/31/05
Assigned:
§18.3: 16, 22
Also answer the following questions about Problem 22:
How long is the helix? (Assume x,y,z are measured in inches.)
How much chocolate is on the helix if the density of chocolate is given by 7z grams/inch?
Challenge (optional):
A helix with 17 turns has height H and radius R. Charge is distributed on the helix so that the linear charge density increases like the square of the distance up the helix. At the bottom of the helix the linear charge density is 0 Coulombs/meter. At the top of the helix, the linear charge density is 13 Coulombs/meter. What is the total charge on the helix?
Due 1/24/05
Assigned:
§18.1: 12, 14, 16
§18.2: 6, 16
Challenge (optional):
§18.2: 14
Due 1/14/05
Assigned:
Complete the problem on this worksheet.
Due 1/10/05
Assigned:
Find the angle between the diagonal of a cube and an adjacent edge.
Complete the problem on this worksheet.
Challenge (optional):
§13.3: 37