CALCULUS IS EVERYWHERE
Calculus is in Physics.
derivative of speed = velocity
derivative of velocity = acceleration
Calculus is in Biology.
Calculus is involved in biology, such as demonstrated by Poiseuille’s Law and blood
flow, etc.
Calculus is in Economics.
The Fundamental Theorem of Calculus can be applied to economics in consumer surplus
by finding the area under the demand curve and above the price curve.
Calculus is in Sociology and Psychology.
Calculus can be used to analyze the speed of rumors and other such information.
…it’s FUNdamental! :]
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The fundamental theorem of calculus can be applied to the graph above of velocity
control technology to find the net change in speed as well as to find the area of the blue
space under the graph.
The net change in speed can be found in this way:
s’(t) = v(t)
, [
0
,
3
]
s(t) =
∫
3
0
)
(
dt
t
v
)
0
(
)
3
(
)
(
3
0
s
s
dt
t
v

=
∫
= 0.25 – 0 = 0.25
The net change in speed is 0.25
HISTORY
Both
Torricelli
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 Winter '99
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 Calculus, Derivative, Fundamental Theorem Of Calculus, Isaac Barrow

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