New Song - The Function Song [sung to the tune of The Dreidel Song] now at the end of the Calculus Carols 

AP Calc Theme Song  [sung to Down by the Riverside]
click here if you don't know the melody - it will take a few seconds to load.
http://www.artistdirect.com/music/stream/player/rm/0,,2893801-5925808,00.html
all lyrics by Denise Fuji McCleary except where indicated

I’m going to pick up my pencil
And learn to show my work
Find lots of limits and
Prove continuity
I’m going to pick up my pencil
Where are those asymptotes?
Find those asymptotes!

Refrain
I’m going to study calculus
Study calculus
Study calculus
I’m going to study calculus
Study calculus
Study calculus

I’m going to pick up my pencil
And find dy/dx
Let’s differentiate
And learn to integrate
I’m going to pick up my pencil
And learn to sub a “u”
Learn to sub a “u”

Go to Refrain

I’m going to pick up my pencil
And learn to justify
Can’t use a number line
We’ll need some words sublime
I’m going to pick up my pencil
And got to find “f prime”
Got to find “f prime”

Go to Refrain

I’m going to pick up my pencil
And learn to analyze
Where f is concave up
That means it’s like a cup
I’m going to pick up my pencil
Where f is concave down
That means it’s like a frown

Go to Refrain

I’m going to pick up my pencil
And solve that diff e-q
At first we separate
Then we must integrate
I’m going to pick up my pencil
Then find our c and y
Find our c and y

Go to Refrain

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THE DERIVATIVE SONG [Sung to the tune of Happy Birthday to You]
One prime two plus two prime one                
One prime two plus two prime one
I just did the product rule,                
That means I am Cool!

The quotient rule I need to know
Low d high less high d low
Draw a line then there below
Put the square of the low.

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CHAIN RULE SONG [Sung to the tune of America the Beautiful]

The Chain Rule is not hard to do
We need to sub a “u”
The “u” is just the inside of
Composite “f of u”
We’ll multiply f prime of u
Times du/dx , Hence,
dx of f of g of x is
Found with diligence!

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Add the C [Sung to the tune of  Let it be ]
lyrics by Jenn Casler, Fairview High School Class of 2003

Taking the test with lots of integrals,
A teacher’s voice just comes to me,
Speaking the one reminder, add a C.
And as I take the very long test
The math T.A.'s preen gleefully
And in comes the reminder, just add the C!
Add the C, add the C!
Add the C, add the C!
Remember the reminder, add a C!

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CALCULUS CAROLS   all lyrics by Denise Fuji McCleary

Check out the photo at:
http://www.calculus-help.com/funstuff/carols.html

Riemann Sums
(sung to the tune of Jingle Bells)

Riemann Sums, Riemann Sums
Counting Areas
Of rectangles whose widths get small
We need to count them all
Riemann Sums, Riemann Sums
Counting Areas
Of rectangles whose widths get small
We need to count them all.

We learn to integrate
It's really lots of fun.
It's easier to find
Than those old Riemann Sums
We learn to sub a u
When things get sort of hard
But most of all we tabulate
When we get sick of parts.
[repeat the refrain]


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Derivatives, Derivatives
(sung to the tune of O Christmas Tree)

Derivatives, derivatives
They help us find the rate of change.
Derivatives, derivatives
They're not that hard, they're in our range.

The product rule is so much fun
It's one prime two plus two prime one
Derivatives, derivatives
They help us find the rate of change.

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Calculus Class
(sung to the tune of Silent Night)

Calculus class, calculus class
Teacher's cruel
Hate the Chain Rule
Find the prime of f of g
It's supposed to fill us with glee
Times dx of the outside
By dx of the inside.

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The Function Song [sung to  The Dreidel Song]

I have a little function
Whose behavior I must find
I know that I can do this
I have to find f prime

Chorus
Oh, functions, functions, functions
Where do they take a rest?
Oh, functions, functions, functions
My teacher is a pest!*                           * alternate line    My teacher is the best!


Where are those pesky cv’s?
Remember ” undefined”!
Where are all the extrema?
How ‘bout a number line!

Chorus
Oh, functions, functions, functions
Where do they take a rest?
Oh, functions, functions, functions
My teacher is a pest!*                          * alternate line    My teacher is the best!