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