Calculus
(Sung to the tune of Jingle Bells)
written by Deborah Alterman, Martin Mohlenkamp, and Gareth Roberts (all rights reserved)
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