Midterm 3
The exam will cover Chapter 13.
The exam will cover multiple integrals, including change of variables in
multiple integrals, polar, cylindrical, and spherical coordinates, among
other things.
Things to memorize: be sure you know the formulas for polar, cylindrical, and
spherical coordinates (including the expressions for x, y, and z in terms of,
for example, rho, phi, and theta, as well as the "scale factors" for integrals).
Know the formulas for computing center of mass (that is, centroid). Know the
formulas for computing Jacobian determinants and the general change-of-variables
formula for multiple integrals. Know the formulas for elliptical coordinates.
Be able to do the homework.
You may find midterms and review information from the Math 241 I taught
last year
here.
Warning: this year's exams may or may not look anything like last year's!
Here are some basic practice problems
(answers here (Corrected version, 4/1 1:30 p.m.---my apologies!)).
Warning: the actual exam problems may not look anything like these---these are
intended to help you practice some basic skills.
Main course page.