List of basic calculus topics

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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:

  1. 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.
  2. 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. Basic topics in calculus include:

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 Calculus Portal

Contents

[edit] Nature of calculus

Topics in calculus

Fundamental theorem
Limits of functions
Continuity
Vector calculus
Tensor calculus
Mean value theorem
Differentiation

Product rule
Quotient rule
Chain rule
Implicit differentiation
Taylor's theorem
Related rates
Table of derivatives
Integration

Lists of integrals
Improper integrals
Integration by: parts, disks,
cylindrical shells, substitution,
trigonometric substitution
Main article: Calculus


[edit] Branches of calculus


[edit] History of calculus

Main article: History of calculus

[edit] Basic calculus concepts

[edit] Calculus scholars

[edit] Calculus lists

Main article: List of calculus topics

[edit] See also

[edit] External links

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