List of basic calculus topics
- List of basic calculus topics
:"For a more comprehensive list, see the List of calculus topics."
Calculus is a central branch of mathematics, developed from algebra and geometry. It is built around two major complementary ideas, both of which rely critically on the concept of limits:
# Differential calculus – concerned with the instantaneous rate of change of quantities with respect to other quantities, or more precisely, the local behaviour of functions. This can be illustrated by the slope of a function's graph.
# Integral calculus – 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. The following outline is provided as an overview of and introduction to calculus:
Essence of calculus
History of Calculus
Basic Calculus concepts
: Derivative - Differentiation rules - Calculus with polynomials - Fundamental theorem of calculus - Differential calculus - Integral calculus - Limits of integration - List of calculus topics - Important publications in calculus - Mathematics - Multivariable calculus - Nonstandard analysis - Partial derivative
Calculus scholars
: Gottfried Leibniz - Sir Isaac Newton
Calculus lists
* Table of mathematical symbols
See also
* Table of mathematical symbols
External links
*
*
* [http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf Calculus Made Easy (1914) by Silvanus P. Thompson] Full text in PDF
* [http://www.calculus.org Calculus.org: The Calculus page] at University of California, Davis — contains resources and links to other sites
* [http://www.math.temple.edu/~cow/ COW: Calculus on the Web] at Temple University - contains resources ranging from pre-calculus and associated algebra
* [http://integrals.wolfram.com/ Online Integrator (WebMathematica)] from Wolfram Research
* [http://www.ericdigests.org/pre-9217/calculus.htm The Role of Calculus in College Mathematics] from ERICDigests.org
* [http://ocw.mit.edu/OcwWeb/Mathematics/index.htm OpenCourseWare Calculus] from the Massachusetts Institute of Technology
* [http://eom.springer.de/I/i050950.htm Infinitesimal Calculus] — an article on its historical development, in Encyclopaedia of Mathematics, Michiel Hazewinkel ed. .
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