Calculus is a central branch of mathematics. The word stems from the nascent development of mathematics: the early Greeks used pebbles arranged in patterns to learn arithmetic and geometry, and the Latin word for "pebble" is "calculus."
Calculus is built on two major complementary ideas, both of which rely critically on the concept of limits. The first is differential calculus, which is concerned with the instantaneous rate of change of quantities with respect to other quantities, or more precisely, the local behavior of functions. This can be illustrated by the slope of a function's graph. The second is integral calculus, which studies the accumulation of quantities, such as areas under a curve, linear distance traveled, or volume displaced. These two processes act inversely to each other, as shown by the fundamental theorem of calculus.
Examples of typical differential calculus problems include:
finding the acceleration and velocity of a free-falling body at a particular moment.
finding the optimal number of units a company should produce to maximize its profit.
Examples of integral calculus problems include:
finding areas and volumes
finding the amount of a liquid pumped by a pump with a set power input but varying conditions of pumping losses and pressure
finding the amount of parking lot plowed by a snowplow of given power with varying rates of snowfall.
2006-11-18 07:05:28
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answer #1
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answered by Paritosh Vasava 3
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Calculus is built on two major complementary ideas, both of which rely critically on the concept of limits. The first is differential calculus, which is concerned with the instantaneous rate of change of quantities with respect to other quantities, or more precisely, the local behavior of functions. This can be illustrated by the slope of a function's graph. The second is integral calculus, which studies the accumulation of quantities, such as areas under a curve, linear distance traveled, or volume displaced. These two processes act inversely to each other, as shown by the fundamental theorem of calculus.
2006-11-16 06:01:21
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answer #2
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answered by Anonymous
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The branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables.
A method of analysis or calculation using a special symbolic notation.
The combined mathematics of differential calculus and integral calculus.
A system or method of calculation: "[a] dazzling grasp of the nation's byzantine budget calculus" (David M. Alpern).
2006-11-16 06:08:30
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answer #3
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answered by vee 2
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Calculus in mathematics means a branch of mathematics dealing with the way that relations between certain sets (functions) are affected by very small changes in one of their variables (independent variable) as they approach zero.
2006-11-16 05:57:25
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answer #4
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answered by Zain 7
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It's invented by Sir Isaac Newton
To determine the rate of change of a quantity corresponding to a change in another quantity upon which the first quantity depends we need the knowledge of CALCULUS.
It deals with 2 main branches INTEGRATION & DIFFERENTIATION.
Integration had its origin in ''finding areas & volumes".It means continuous summation [sigma denotes discrete summation]
Differentiation had its origin in "tangents to curves".
The fundamental concept is limits
2006-11-16 12:09:21
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answer #5
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answered by HAMBYDEN 2
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In Biology:An incrustation that forms on the teeth and gums
In mathematics:The branch of mathematics that is concerned with limits and with the differentiation and integration of functions.
It is the mathematical tool which allows you to discover the universe as it is and appreciate it as well.
2006-11-16 06:16:49
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answer #6
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answered by sushant 3
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It means a method of computation orcalculation in a special notation[ as of logic] A branch of higher mathematics.
2006-11-16 06:04:50
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answer #7
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answered by denise t 1
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calculus is the branch of mathematics invented by isaac newton
2006-11-16 08:06:27
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answer #8
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answered by Dhruv 2
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calculus is the branch of mathmatics. it has two parts-
1. differential calculus
2. integeral calculus
2006-11-16 06:38:33
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answer #9
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answered by ram 1
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calculus is the mathematics dealind on the topic of diffrentiation , integeratio & diffrential eqns for more info see www.calculus.org
2006-11-16 07:33:11
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answer #10
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answered by sidharth 2
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