Lois Goldstein=20 Oak Park River Forest High School Oak Park, IL
SONGS FOR CALCULUS by Ms. Lois Goldstei= n 1. Separation of variables Tune: =93Itsy Bitsy Spider=94 (this also requires hand motions)
First you take the x=92s, put them in a row Then the y=92s and dy=92s, going with the flow Integrate both sides, I=92m sure you will agree Just don=92t be too hasty, remember the =93plus C=94!
2. Discontinuities Tune: =93Three Blind Mice=94 (a dance along with this is a nice touch= - or - have your class sing it in a round)
Jumps in graphs, jumps in graphs Empty holes, empty holes A vertical asymptote might appear If the pencil=92s picked up it is mighty clear Whenever that happens I tell you dear=20 The function=92s not continuous
3. Derivatives and graphs Tune: =93Yankee Doodle=94
A positive derivative means that the graph is rising, And if it=92s less than zero, the result is not surprising.
Chorus: Going up or going down, it really is quite easy Calculus is so much fun, it never makes you queasy.
Concavity is such a blast, just look at double prime, If positive, it=92s concave up, and that will suit you fine.
Now you turn it on its head, until it=92s concave down, Negative f double prime, it=92s kind of like a frown.