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2006-10-20 03:19:42 · 10 answers · asked by jasmeet a 2 in Science & Mathematics Mathematics

10 answers

Calculus is the central branch of mathematics

2006-10-20 03:21:29 · answer #1 · answered by Friend 6 · 0 2

Professionals such as Engineers and Scientists use Calculus in research, and field work.

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.

2006-10-20 03:25:49 · answer #2 · answered by Anonymous · 0 1

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 water 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.

Today, calculus is used in every branch of the physical sciences, in computer science, in statistics, and in engineering; in economics, business, and medicine; and as a general method whenever the goal is an optimal solution to a problem that can be given in mathematical form.

Applications

The development and use of calculus has had wide reaching effects on all areas of modern living. It underlies nearly all of the sciences, especially physics. Virtually all modern developments such as building techniques, aviation, and other technologies make fundamental use of calculus. Many algebraic formulas now used for ballistics, heating and cooling, and other practical sciences were worked out through the use of calculus. In a handbook, an algebraic formula based on calculus methods may be applied without knowing its origins. The success of calculus has been extended over time to differential equations, vector calculus, calculus of variations, complex analysis, and differential topology.

2006-10-20 07:50:22 · answer #3 · answered by Anonymous · 0 0

Definition: Calculus is the study of 'Rates of Change'. Calculus as we know it today was developed in the later half of the seventeenth century by two mathematicians, Gottfried Leibniz and Isaac Newton. There are two main branches of calculus: Differential Calculus and Integral Calculus. Differential calculus determines the rate of change of a quantity, integral calculus finds the quantity where the rate of change is known. "Functions" are defined by a formula. Are you ready for Calculus? Find out here
Examples: When you are studying the rates of change in mathematics, you are in the branch of mathematics called Calculus.



Calculus (PDF)
I(t) in an electrical circuit, perhaps being used in a computer or in a radar or ... myriad other examples where mathematics, and calculus and differential ...
http://www.math.utah.edu/~keener/classes/math1210/First_Lecture.pdf

2006-10-20 03:40:43 · answer #4 · answered by Krishna 6 · 1 1

Calculus is a central branch of mathematics and it is applied in many fields: engineering, astronomy, physics, chemistry. I need Calculus for all of these things.

2006-10-20 03:21:57 · answer #5 · answered by Anonymous · 0 0

. mathematics branch of mathematics: a branch of mathematics dealing with the way that relations between some sets functions are affected by very small changes in one of their variables independent variables as they approach zero.
It is used to find slopes of curves, rates of change, and volumes of curved figures.
See also differential calculusintegral calculus
2. mathematics logic method of calculation: a method or system of calculation using symbols or symbolic logic

2006-10-20 03:24:54 · answer #6 · answered by gReEn_p!LLoWs 2 · 0 0

Calculus is a branch of mathematics and deals with finite as well as infinite variables.Includes limits,functions,differentiation,integration etc. etc.
Required wherever higher maths is required like engineering,space science,astronomy,physics,mathematics,chemistry,business & commerce,statistics etc. etc.

2006-10-20 03:52:18 · answer #7 · answered by Anonymous · 0 0

You may not actually use calculus problems later in your adult life, but the thinking skills and ability to work out problems from start to finish will be GREATLY beneficial to you.

Trust me.

2006-10-20 03:23:46 · answer #8 · answered by Ralley 4 · 0 0

it's about derivatives and integrations, analysis of mathematical functions, where the function bends or make a curve. it's mostly used in engineering.

2006-10-20 03:22:34 · answer #9 · answered by Minder Bob 1 · 0 0

Here is everything you want to know about Calculus.

http://en.wikipedia.org/wiki/Calculus

2006-10-20 03:22:03 · answer #10 · answered by Joe Somebody 6 · 0 1

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