### Calculus

#### Deborah Alterman, Martin Mohlenkamp, and Gareth Roberts

All rights reserved

*(Sung to the tune of Jingle Bells)*

Looking for the tangent

It's really *m* we seek

With epsilon and delta

Mathematics looks like Greek

Trying to find a limit

Everything gets small

If you can't determine it

You land in L'Hopital

Calculus, Calculus

Let us celebrate

Riemann Sums, so much fun

We can integrate

*Hey!*

Calculus, Calculus

Let us celebrate
*dx, dy, dz, dt*

We love related rates

Calc 2 is coming next

The really fun stuff starts

Integral *x* sin(*x*)

Only works in parts

Summing the series harmonic

The terms keep getting small

But isn't it ironic?

It won't converge at all

Calculus, Calculus

Put your mind at rest

Most divergent series fail

The Root or Ratio Test

*Hey!*

Calculus, Calculus

While we sing this song

We can sum (1/2)^{n}

It won't take all day long

Now on to Calc 3

Learning spheres and cones

Maximizing functions

With seventeen unknowns

Fancy vector fields

Finding flux of curl

Using Mr. Stokes

Over a circle

Calculus, Calculus

Ain't it really cool

Gauss and Green are really keen

Don't take them for fools

*Hey!*

Calculus, Calculus

Ain't it really cool
*f* and *g*, composing thee

Time for the chain rule