A Calculus Christmas Carol

written by
Deborah Alterman, Martin Mohlenkamp, and Gareth Roberts
(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 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 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 Calculus, Calculus Ain't it really cool f and g, composing thee Time for the chain rule