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Topic: songs for calculus
Replies: 3   Last Post: Sep 14, 1998 7:32 PM

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Goldstein, Lois

Posts: 14
Registered: 12/6/04
songs for calculus
Posted: Sep 11, 1998 8:05 PM
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Here are some songs your students may enjoy.

=46rom:

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.

Chorus

Now you turn it on its head, until it=92s concave down,
Negative f double prime, it=92s kind of like a frown.

Chorus

Hope you enjoy (and use) them!

Lois





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