#### Transcript of ABC's of Calculus

**ABC's of Calculus **

E; Eulers Method

**J; Jerk**

O; Outside- Inside rule

S; Shell Method

W; Washer Method

A; Average Value

**By: Rayannon Willett**

B; Bound

A bound puts a limit on something

C; Calculus

The study of change.

The two major branches of calculus are differential and integral.

D; Derivatives

Gives the slope at any point.

Rules; power rule, constant rule, and quotient rule

Used to approximate points on a graph without knowing the equation

F; The Fundamental Therom of Calculus

Has two parts;

2. to evaluate an integral you take the antiderivative at b minus the antiderivative at a

F is also for FUN because we all loveeee math (:

G; Geometric Sequence

Geometric series have a common number (r) that each term is multiplied by, to get the next term

The interval of convergence -1<r<1

Converge to the sum a1/(1-r) if -1<r<1

an=5(3)^n

H; Harmonic Series

I; Integrals

Used to find the area under a curve

It is the sudden change in acceleration.

The jerk is the 3rd derivative of the position graph of the derivative of acceleration.

**K; Keplers Law**

L; Logistic Growth

To get the solution you must separate the variables

M; Maximums and Minimums

Found where the first derivative equals zero.

**N; Nth Term**

Also known as the general term.

Tells you to generate the term in a sequence.

The way to take derivatives when using the chain rule.

P; Paramethics

Q; Quotient Rule

A way to determine derivatives involving fractions

R; Ratio Test

used to test convergence or divergence of a series and also to find the interval and radius of a convergence

used to find volume under a curve

T; Taylor Series

a way to construct a series generated at zero, also called the Maclaurin series

U; Unit Circle

a circle with a radius of 1

a unit circle finds angles and often is used with trig functions

V; Volume Under a Curve

also used to find volume under curve

X; Exponential Growth

Y; All Basic Graphs are in Y= terms

y=x

y=x^2

Z; Amazing number Zero

Zero is neither positive or negative and is often one of our limits of integration

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