Calc-aholics Anonymous
Created a method to approximate location using a tangent line.
Who is Euler?
"It's the circle of Sine
Derives to Cosine
Integration will be negative
Once more either way
For a negative Sine
In the circle,
The circle of Sine"
What is The Circle of Sine?
-\/-----------------------------
(X'(t))2 + (Y'(t))2
What is Arc Length?
"Forget your Past", Leave degrees behind. Calculus uses radians.
What is "Precept 4"?
1 - X2/2 + X4/4! - X6/6! + ...
What is CosX?
Created the formula f(x) + f'(x)(x-c)/1! + f''(x)((x-c)^2)/2! + ...
Who is Taylor?
"A whole new graph
A new inflection point of F
No one says concave up, or concave down
Without f' increasing"
What is "A Whole New Graph"?
00
E (1/np)
n=1
What is a Power Series?
"Names Have Power", Label your functions Properly!
What is "Precept 32"?
X - X3/3! + X5/5! - X7/7! + ...
What is SinX?
Created a variation of Taylor's proof that specifically identifies a point on the graph centered at X=0
Who is McLaurin?
"Remember the chain rule"
What a wonderful phrase
"Remember the chain rule"
Ain't no passin' craze
It means multiply
When you go to derive
It's our problem free, philosophy
"Remember the chain rule"
What is "Remember the Chain Rule"?
Because the terms of the series alternate in sign, decrease in magnitude, and have a limit of zero, the series converges.
What is the alternating series test?
"Learn to Detect Lies", Tests try to fool you. Don't fall for the classic blunders.
What is "Precept 41"?
1 - (X3)2/2! + (X3)4/4! - (X3)6/6!
What is Cos(X3)?
Proved that the limit of an indeterminate form is equal to the limit of the derivative of the top divided by the derivative of the bottom.
Who is L'Hopital?
"I've got polar tangent lines a-plenty, I've got circles made from a Sine curve. You want cardioids? I've got twenty. But who cares, no big deal I want more."
What is Cardioid World?
The integral of F'(X)dX from A to B is equal to F(B) - F(A)
What is FTC#2?
“One Thing is not Another”, Don’t try to use a geometric series test on a power series
What is “Precept 45”?
1 + 3X + (3X)2 + (3X)3 + (3X)4 + ...
What is E3X?
Teacher that is still addicted to Calculus to this day.
Who is Mrs. Woods?
Have you ever heard the wolf cry "How do I derive?"
Or asked the grinning bobcat "Why dX?"
Can you sing with all the voices of integrals
Can you paint with all the colors of T-I
Can you paint with all the colors of T-I
What is "Colors of T-I"?
Use this test when your series is larger than a similar convergent series or smaller than a similar divergent series.
What is the Limit Comparison Test?
"Don't Linger on Mysteries", If you don't understand a problem, simply move along and come back later.
What is "Precept 50"?
- X + X3/3! - X5/5! + X7/7! - ...
What is Sin(-X)?