Editing List of calculus topics

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{{Calculus}}
This is a '''list of [[calculus]] topics'''.

==Limits==
* [[Limit (mathematics)]]
* [[Limit of a function]]
** [[One-sided limit]]
* [[Limit of a sequence]]
* [[Indeterminate form]]
<!-- *[[Wikisource:Table of common limits|Table of common limits]] There is something wrong with this link. Right. It doesn't exist as of 2006-02-09. -->
* [[Orders of approximation]]
* [[(ε, δ)-definition of limit]]
*[[Continuous function]]

==[[Differential calculus]]==
* [[Derivative]]
* [[Notation for differentiation|Notation]]
** [[Newton's notation for differentiation]]
** [[Leibniz's notation for differentiation]]
* Simplest rules
** [[Derivative of a constant]]
** [[Sum rule in differentiation]]
** [[Constant factor rule in differentiation]]
** [[Linearity of differentiation]]
** [[Power rule]]
* [[Chain rule]]
* [[Local linearization]]
* [[Product rule]]
* [[Quotient rule]]
* [[Inverse functions and differentiation]]
* [[Implicit differentiation]]
* [[Stationary point]]
** [[Maxima and minima]]
** [[First derivative test]]
** [[Second derivative test]]
** [[Extreme value theorem]]
* [[Differential equation]]
* [[Differential operator]]
* [[Newton's method]]
* [[Taylor's theorem]]
* [[L'Hôpital's rule]]
* [[General Leibniz rule]]
* [[Mean value theorem]]
* [[Logarithmic derivative]]
* [[Differential (calculus)]]
* [[Related rates]]
* [[Regiomontanus' angle maximization problem]]

* [[Rolle's theorem]]

==Integral calculus==
* [[Antiderivative|Antiderivative/Indefinite integral]]
* Simplest rules
** [[Sum rule in integration]]
** [[Constant factor rule in integration]]
** [[Linearity of integration]]
* [[Arbitrary constant of integration]]
* [[Cavalieri's quadrature formula]]
* [[Fundamental theorem of calculus]]
* [[Integration by parts]]
* [[Inverse chain rule method]]
* [[Integration by substitution]]
** [[Tangent half-angle substitution]]

* [[Differentiation under the integral sign]]
* [[Trigonometric substitution]]
* [[Partial fractions in integration]]
** [[Quadratic integral]]
* [[Proof that 22/7 exceeds π]]
* [[Trapezium rule]]
* [[Integral of the secant function]]
* [[Integral of secant cubed]]
* [[Arclength]]
*[[Solid of revolution]]
* [[Shell integration]]

==Special functions and numbers==
* [[Natural logarithm]]
* [[e (mathematical constant)]]
* [[Exponential function]]
* [[Hyperbolic angle]]
* [[Hyperbolic function]]
* [[Stirling's approximation]]
* [[Bernoulli number]]s

==[[Absolute numerical]]==
''See also [[list of numerical analysis topics]]''
* [[Rectangle method]]
* [[Trapezoidal rule]]
* [[Simpson's rule]]
* [[Newton–Cotes formulas]]
* [[Gaussian quadrature]]

==Lists and tables==
* [[Table of limits|Table of common limits]]
* [[Table of derivatives]]
* [[Table of integrals]]
* [[Table of mathematical symbols]]
* [[List of integrals]]
* [[List of integrals of rational functions]]
* [[List of integrals of irrational functions]]
* [[List of integrals of trigonometric functions]]
* [[List of integrals of inverse trigonometric functions]]
* [[List of integrals of hyperbolic functions]]
* [[List of integrals of exponential functions]]
* [[List of integrals of logarithmic functions]]
* [[List of integrals of area functions]]

==Multivariable==
* [[Partial derivative]]
* [[Disk integration]]
* [[Gabriel's horn]]
* [[Jacobian matrix]]
* [[Hessian matrix]]
* [[Curvature]]
* [[Green's theorem]]
* [[Divergence theorem]]
* [[Stokes' theorem]]
* [[Vector Calculus]]

==Series==
* [[Infinite series]]
* [[Maclaurin series]], [[Taylor series]]
* [[Fourier series]]
* [[Euler–Maclaurin formula]]

==History==
* [[Adequality]]
* [[Infinitesimal]]
** [[Archimedes' use of infinitesimals]]
* [[Gottfried Leibniz]]
* [[Isaac Newton]]
* ''[[Method of Fluxions]]''
* [[Infinitesimal calculus]]
* [[Brook Taylor]]
* [[Colin Maclaurin]]
* [[Leonhard Euler]]
* [[Gauss]]
* [[Joseph Fourier]]
* [[Law of continuity]]
* [[History of calculus]]
* [[Generality of algebra]]

==Nonstandard calculus==
* ''[[Elementary Calculus: An Infinitesimal Approach]]''
* [[Nonstandard calculus]]
* [[Infinitesimal]]
* [[Archimedes' use of infinitesimals]]

For further developments: see [[list of real analysis topics]], [[list of complex analysis topics]], [[list of multivariable calculus topics]].

[[Category:Mathematics-related lists|Calculus]]
[[Category:Calculus|*]]
[[Category:Lists of topics|Calculus]]