Some of you must have gotten lost on the way to the Taco bar. I'll
have to give better directions next time. There should be one
more lunch before the end of the semester (and probably a
breakfast, too!).
Starting on your homework early, and asking questions
early, will prevent some routine problems.
E.g., the definition of the average value of a function
was given in HW1. Some of you began your HW3 by stating
the definition -- excellent.
Use identities, but be careful about making them up...:)
Don't make up integration rules, either -- usually they
aren't your friends.... I especially saw a made up one
for this integral:
\[
\int \sin^4(x) dx
\]
You all really need a tool to allow you to check your
work. You can use many a TI calculator to evaluate
integrals. I like Mathematica.
I'm liking that many of you are telling me that you think
a value is "too big" or "too small" -- not the
Goldilocks solution.
Today we'll continue with partial fractions,
and finish that. Then tomorrow we'll begin Numerical
Integration.
Last time we agreed push our next exam back to
3/5 (previously scheduled for 2/26).
Today
Last time we saw an example of the application of the technique of
partial fractions, in the case of the screwworm fly eradication
integral.
I'll refer back to that example from time to time.
But today we try a few more examples of partial fractions,
including more general examples.