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Calculus is a central branch of mathematics, developed from algebra and geometry. It 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, a fact delivered conclusively 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.
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A History of the Calculus - The main ideas of calculus developed over a very long period of time. Read about some of the mathematicians who contributed to this field of mathematics.
Algebra and Calculus Sketches - For calculus, gives the tangent line problem and its solution.
Automatic Calculus Solutions - Check calculus homework. Enter a function and click for a step-by-step derivative or integral with each step explained.
Meta Description: [ Check your calculus homework! Enter your function to get your calculus derivative or integral with each step explained, automatically and fast. ]
Calculus Made Easier - An introduction to the basic concepts. The derivative and integral are explained. Resource links included.
Meta Description: [ An introduction to the basic concepts of calculus. The derivative and integral are explained. Calculus resource links are included. ]
Calculus-Help.com - Features a new practice calculus problem every week with complete solutions. Includes an archive of prior weeks' problems and solutions.
Meta Description: [ Calculus-Help.com offers Calculus help to students of all ages, including free multimedia tutorials and detailed calculus examples with complete solutions. ]
Karl's Calculus Tutor - Introductory information on counting numbers, integers, limits, and derivatives.
Meta Description: [ A place for a 1st year calculus student to come when he or she needs a helping hand. E-mailhelp available. ]
The History Of Calculus - Interested in how Calculus became what it is today? This site offers a historical account of the progression of the study from its infancy to its present state.
Visual Calculus - Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed to view some of the pages.
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