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ABC's of Calculus

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by

Rayannon Willett

on 2 January 2014

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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
Full transcript