Don't let this happen to you this week!

Problem 9 in Section 6.1 is an example of an area for which it is much easier to compute the area by integrating in the y-direction than in the x-direction.

If you click here, you can see the problem done out the "easy way" (integrating dy) and the "cowboy way" (integrating dx).

Here is Tom Lehrer at the same celebration as before singing about limits: "There's a Delta for Every Epsilon." Enjoy!

(I should mention that these are excerpted from a video available on YouTube. You can get the full video there.)

Tom Lehrer earned Bachelors' and Masters' degrees in Mathematics from Harvard and has taught math at Harvard, MIT, Wellesley, and the University of California at Santa Cruz. What he became most famous for, however, is writing some of the funniest satirical songs in the past 50 years. "Poisoning Pigeons in the Park," "Pollution," "Fight Fiercely, Harvard" ... all of these served as models for satirists from Mark Russell to the Capitol Steps. If you can find CDs of his work, I highly recommend them, although a lot of the songs are quite dated.

Lehrer sometimes wrote about science and math -- a lot of chemistry teachers still try and perform his version of "The Elements," a rapid-fire recitation of the periodic table done to the tune of Gilbert and Sullivan's "I Am the Very Model of a Modern Major General."

Here is a piece of video from 1997 in which Lehrer digs out some old songs for the 80th birthday celebration of a former professor of his. This is a song about the definition of the derivative:

The solutions to the practice problems for Exam 1 have been posted and can be obtained by clicking here.

Practice problems for Exam #1 can be obtained by clicking here. The rule is that you get up to 5 points on Exam #1 for a good effort. Less-than-good efforts will get less than 5 points. Feel free to ask me questions or to work with friends on these.

I will post the solutions here on Thursday, September 18th.