Template:Calculus: Difference between revisions

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{{Sidebar
{{Sidebar
| name          = Calculus
| name          = Calculus
| title          = [[Calculus]]
| title          = [http://en.wikipedia.org/wiki/ Calculus]
| listtitlestyle = text-align: center
| listtitlestyle = text-align: center
| listclass      = hlist
| listclass      = hlist
Line 8: Line 12:
| aboveclass    = plainlist
| aboveclass    = plainlist
| above          =  
| above          =  
* [[Fundamental theorem of calculus|Fundamental theorem]]
* [http://en.wikipedia.org/wiki/ Fundamental theorem of calculus|Fundamental theorem]
* [[Limit of a function|Limits of functions]]
* [http://en.wikipedia.org/wiki/ Limit of a function|Limits of functions]
* [[Continuous function|Continuity]]
* [http://en.wikipedia.org/wiki/ Continuous function|Continuity]
* [[Mean value theorem]]
* [http://en.wikipedia.org/wiki/ Mean value theorem]
* [[Rolle's theorem]]
* [http://en.wikipedia.org/wiki/ Rolle's theorem]


| list2name      = Differential
| list2name      = Differential
| list2title    = [[Differential calculus]]
| list2title    = [http://en.wikipedia.org/wiki/ Differential calculus]
| list2          =  
| list2          =  
; Definitions:
; Definitions:
* [[Derivative]]
* [http://en.wikipedia.org/wiki/ Derivative]
* [[Differential (infinitesimal)]]
* [http://en.wikipedia.org/wiki/ Differential (infinitesimal)]
* [[Differential of a function]]
* [http://en.wikipedia.org/wiki/ Differential of a function]
* [[Generalizations of the derivative]]
* [http://en.wikipedia.org/wiki/ Generalizations of the derivative]
; Concepts:
; Concepts:
* [[Notation for differentiation]]
* [http://en.wikipedia.org/wiki/ Notation for differentiation]
* [[Second derivative]]
* [http://en.wikipedia.org/wiki/ Second derivative]
* [[Third derivative]]
* [http://en.wikipedia.org/wiki/ Third derivative]
* [[Change of variables]]
* [http://en.wikipedia.org/wiki/ Change of variables]
* [[Implicit function|Implicit differentiation]]
* [http://en.wikipedia.org/wiki/ Implicit function|Implicit differentiation]
* [[Related rates]]
* [http://en.wikipedia.org/wiki/ Related rates]
* [[Taylor's theorem]]
* [http://en.wikipedia.org/wiki/ Taylor's theorem]
; [[Differentiation rules|Rules and identities]]:
; [http://en.wikipedia.org/wiki/ Differentiation rules|Rules and identities]:
* [[Sum rule in differentiation|Sums]]
* [http://en.wikipedia.org/wiki/ Sum rule in differentiation|Sums]
* [[Product rule|Products]]
* [http://en.wikipedia.org/wiki/ Product rule|Products]
* [[Chain rule]]
* [http://en.wikipedia.org/wiki/ Chain rule]
* [[Power rule|Powers]]
* [http://en.wikipedia.org/wiki/ Power rule|Powers]
* [[Quotient rule|Quotients]]
* [http://en.wikipedia.org/wiki/ Quotient rule|Quotients]
* [[Faà di Bruno's formula]]
* [http://en.wikipedia.org/wiki/ Faà di Bruno's formula]


| list3name      = Integral
| list3name      = Integral
| list3title    = Integral calculus
| list3title    = Integral calculus
| list3      =
| list3      =
* [[Lists of integrals]]
* [http://en.wikipedia.org/wiki/ Lists of integrals]
; Definitions:
; Definitions:
* [[Antiderivative]]
* [http://en.wikipedia.org/wiki/ Antiderivative]
* [[Integral]]
* [http://en.wikipedia.org/wiki/ Integral]
* [[Improper integral]]
* [http://en.wikipedia.org/wiki/ Improper integral]
* [[Riemann integral]]
* [http://en.wikipedia.org/wiki/ Riemann integral]
* [[Lebesgue integration]]
* [http://en.wikipedia.org/wiki/ Lebesgue integration]
* [[Methods of contour integration|Contour integral]]
* [http://en.wikipedia.org/wiki/ Methods of contour integration|Contour integral]
; Integration by:
; Integration by:
* [[Integration by parts|parts]]
* [http://en.wikipedia.org/wiki/ Integration by parts|parts]
* [[Disc integration|discs]]
* [http://en.wikipedia.org/wiki/ Disc integration|discs]
* [[Shell integration|cylindrical shells]]
* [http://en.wikipedia.org/wiki/ Shell integration|cylindrical shells]
* [[Integration by substitution|substitution]]
* [http://en.wikipedia.org/wiki/ Integration by substitution|substitution]
* [[trigonometric substitution]]
* [http://en.wikipedia.org/wiki/ trigonometric substitution]
* [[Partial fractions in integration|partial fractions]]
* [http://en.wikipedia.org/wiki/ Partial fractions in integration|partial fractions]
* [[Order of integration (calculus)|changing order]]
* [http://en.wikipedia.org/wiki/ Order of integration (calculus)|changing order]
* [[Integration by reduction formulae|reduction formulae]]
* [http://en.wikipedia.org/wiki/ Integration by reduction formulae|reduction formulae]


| list4name      = Series
| list4name      = Series
| list4title    = [[Series (mathematics)|Series]]
| list4title    = [http://en.wikipedia.org/wiki/ Series (mathematics)|Series]
| list4          =  
| list4          =  
* [[Geometric series|Geometric]]
* [http://en.wikipedia.org/wiki/ Geometric series|Geometric]
* [[Arithmetico-geometric sequence|Arithmetico-geometric]]
* [http://en.wikipedia.org/wiki/ Arithmetico-geometric sequence|Arithmetico-geometric]
* [[Harmonic series (mathematics)|Harmonic]]
* [http://en.wikipedia.org/wiki/ Harmonic series (mathematics)|Harmonic]
* [[Alternating series|Alternating]]
* [http://en.wikipedia.org/wiki/ Alternating series|Alternating]
* [[Power series|Power]]
* [http://en.wikipedia.org/wiki/ Power series|Power]
* [[Binomial series|Binomial]]
* [http://en.wikipedia.org/wiki/ Binomial series|Binomial]
* [[Taylor series|Taylor]]
* [http://en.wikipedia.org/wiki/ Taylor series|Taylor]
; [[Convergence tests]]:
; [http://en.wikipedia.org/wiki/ Convergence tests]:
* [[Term test|Summand limit (Term test)]]
* [http://en.wikipedia.org/wiki/ Term test|Summand limit (Term test)]
* [[Ratio test|Ratio]]
* [http://en.wikipedia.org/wiki/ Ratio test|Ratio]
* [[Root test|Root]]
* [http://en.wikipedia.org/wiki/ Root test|Root]
* [[Integral test for convergence|Integral]]
* [http://en.wikipedia.org/wiki/ Integral test for convergence|Integral]
* [[Direct comparison test|Direct comparison]]
* [http://en.wikipedia.org/wiki/ Direct comparison test|Direct comparison]
* [[Limit comparison test|Limit comparison]]
* [http://en.wikipedia.org/wiki/ Limit comparison test|Limit comparison]
* [[Alternating series test|Alternating series]]
* [http://en.wikipedia.org/wiki/ Alternating series test|Alternating series]
* [[Cauchy condensation test|Cauchy condensation]]
* [http://en.wikipedia.org/wiki/ Cauchy condensation test|Cauchy condensation]
* [[Dirichlet's test|Dirichlet]]
* [http://en.wikipedia.org/wiki/ Dirichlet's test|Dirichlet]
* [[Abel's test|Abel]]
* [http://en.wikipedia.org/wiki/ Abel's test|Abel]


| list5name      = Vector
| list5name      = Vector
| list5title    = [[Vector calculus]]
| list5title    = [http://en.wikipedia.org/wiki/ Vector calculus]
| list5          =  
| list5          =  
* [[Gradient]]
* [http://en.wikipedia.org/wiki/ Gradient]
* [[Divergence]]
* [http://en.wikipedia.org/wiki/ Divergence]
* [[Curl (mathematics)|Curl]]
* [http://en.wikipedia.org/wiki/ Curl (mathematics)|Curl]
* [[Laplace operator|Laplacian]]
* [http://en.wikipedia.org/wiki/ Laplace operator|Laplacian]
* [[Gradient theorem]]
* [http://en.wikipedia.org/wiki/ Gradient theorem]
* [[Green's theorem]]
* [http://en.wikipedia.org/wiki/ Green's theorem]
* [[Stokes' theorem]]
* [http://en.wikipedia.org/wiki/ Stokes' theorem]
* [[Divergence theorem]]
* [http://en.wikipedia.org/wiki/ Divergence theorem]
* [[Directional derivative]]
* [http://en.wikipedia.org/wiki/ Directional derivative]


| list6name      = Multivariable
| list6name      = Multivariable
| list6title    = [[Multivariable calculus]]
| list6title    = [http://en.wikipedia.org/wiki/ Multivariable calculus]
| list6          =  
| list6          =  
; Formalisms:
; Formalisms:
* [[Matrix calculus|Matrix]]
* [http://en.wikipedia.org/wiki/ Matrix calculus|Matrix]
* [[Tensor calculus|Tensor]]
* [http://en.wikipedia.org/wiki/ Tensor calculus|Tensor]
* [[Exterior derivative|Exterior]]
* [http://en.wikipedia.org/wiki/ Exterior derivative|Exterior]
* [[Geometric calculus|Geometric]]
* [http://en.wikipedia.org/wiki/ Geometric calculus|Geometric]
; Definitions:
; Definitions:
* [[Partial derivative]]
* [http://en.wikipedia.org/wiki/ Partial derivative]
* [[Multiple integral]]
* [http://en.wikipedia.org/wiki/ Multiple integral]
* [[Line integral]]
* [http://en.wikipedia.org/wiki/ Line integral]
* [[Surface integral]]
* [http://en.wikipedia.org/wiki/ Surface integral]
* [[Volume integral]]
* [http://en.wikipedia.org/wiki/ Volume integral]
* [[Jacobian matrix and determinant|Jacobian]]
* [http://en.wikipedia.org/wiki/ Jacobian matrix and determinant|Jacobian]


| list7name      = Specialized
| list7name      = Specialized
| list7title    = Specialized calculi
| list7title    = Specialized calculi
| list7          =  
| list7          =  
* [[Calculus of variations]]
* [http://en.wikipedia.org/wiki/ Calculus of variations]
* [[Fractional calculus|Fractional]]
* [http://en.wikipedia.org/wiki/ Fractional calculus|Fractional]
* [[Malliavin calculus|Malliavin]]
* [http://en.wikipedia.org/wiki/ Malliavin calculus|Malliavin]
* [[Stochastic calculus|Stochastic]]
* [http://en.wikipedia.org/wiki/ Stochastic calculus|Stochastic]


}}<noinclude>{{documentation}}</noinclude>
}}<noinclude>{{documentation}}</noinclude>

Revision as of 16:15, 3 November 2013



Calculus
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