Since this is a coordinated course, most information can be found on the main course web page. This page contains only information specific to my section.
Professor: Ed Bender
MWF 10-10:50 in Ledden Auditorium
Office Hours: Wed 1-2 in AP&M 6111
TA: Miles Jones
sections: Thur. 10AM(B03), 11AM(B04), 1PM(B05)
Office Hours: Mon & Tues 2-3 in AP&M 5412
Some Additional Material On Integration (Ch.7)
(You're not responsible for it.)
The sections mentioned in the pdf files are Stewart, not Rogawski, so ignore them.
pdf Sometimes one cannot
find an antiderivative but can evaluate the definite integral. Here's
and example. ( You may want to read 7.7 of Rogawski first.)
pdf Calculus texts usually
thrust error bounds on students without showing how to obtain them.
Here's a derivation of the error bound for the Trapezoidal Rule.
You'll need integration by parts (Rogawski 7.2) to read it.
pdf Calculus texts generally
just give error bounds, which are great if you MUST have a bound on the
error and can find the needed bound on the derivative. (The latter
will be impossible if the function values are given by a table.)
Usually it's better to have a good ESTIMATE of the error. This file
shows that it's easy to get.
pdf Rogawski discusses trigonometric integrals in Section 7.3, but he doesn't cover a method for reducing an integrand that is rational in trig functions to one that is rational, as some texts do. This pdf file explains two ways to do that.