This document, located at http://new.math.uiuc.edu/math280,
was last edited 27feb98 gfrancis@uiuc.edu
The solution to the takehome quiz is continued here. On Friday I went over the hygiene for taking a takehome test. In summary, they are:
1. Look over the quiz for 1/2 to 1 hour as soon as possible after getting it. Classify the problems into easy to hard. Maybe do the easiest right away. Think about the hard ones.
2. In a minimum 2 hour session work on the test. Doing the easy ones first and perhaps coming back to the harder ones in time.
3. The night before the test is due, spend an hour JUST CHECKING for dumb errors. Especially for inconsistencies, like "vector=scalar", miscopied formulas, impossible answers, like imaginary volumes.
The first page this week introduces the line element, a.k.a. curve element, a.k.a. tangential displacement element along a curve. It reviews the definition of the metric and the derivation of the metric tensor (a symmetric 3x3matrix equal to the "square" of the Jacobian matrix) for spherical coordinates, on page 2 . You are strongly advised to do this derivation for cylindrical coordinates.
On Friday I went over the quiz in class and announced how far your liability for the Midterm on March 6 extends into chapter 3 of Shey. Watch this page for details.
There will be a review session next Wednesday at 7pm in the grafiXlab, room 102, Altgeld hall.
G.Francis