(To: "Oh, Christmas Tree". To maintain the meter in the last stanza, "the-o-rem" should be pronounced with three syllables.)

OH CALCULUS, OH CALCULUS

Oh, Calculus; Oh, Calculus,
How different seem thy branches.
Oh, Calculus; Oh, Calculus,
How different seem thy branches.
Derivatives tell us the rate,
For areas we integrate.
Oh, Calculus; Oh, Calculus,
How different seem thy branches.


Derivative, Derivative,
The limit your foundation.
Derivative, Derivative,
The limit your foundation.
A quotient, both parts growing nil,
Behold you reach a value still.
Derivative, Derivative,
The limit your foundation.


Oh, Integral; Oh, Integral,
Partitions getting finer.
Oh, Integral; Oh, Integral,
Partitions getting finer.
Add more and more of less and less,
The errors disappear, we guess.
Oh, Integral; Oh, Integral,
Partitions getting finer.


Oh, Calculus; Oh, Calculus,
United are thy branches.
Oh, Calculus; Oh, Calculus,
United are thy branches.
Because of that eternal gem,
The Fundamental Theorem.
Oh, Calculus; Oh, Calculus,
United are thy branches.


Leon Hall and Ilene Morgan, December, 2000