Template:Calculus: Difference between revisions

From bradwiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 5: Line 5:
{{Sidebar
{{Sidebar
| name          = Calculus
| name          = Calculus
| title          = [http://en.wikipedia.org/wiki/ Calculus]
| title          = [http://en.wikipedia.org/wiki/Calculus]]
| listtitlestyle = text-align: center
| listtitlestyle = text-align: center
| listclass      = hlist
| listclass      = hlist
| expanded      = {{{expanded|{{{1|}}}}}}
| expanded      = {{{expanded {{{1 }}}}}}


| aboveclass    = plainlist
| aboveclass    = plainlist
| above          =  
| above          =  
* [http://en.wikipedia.org/wiki/ Fundamental theorem of calculus|Fundamental theorem]
* [http://en.wikipedia.org/wiki/Fundamental theorem of calculus Fundamental theorem]]
* [http://en.wikipedia.org/wiki/ Limit of a function|Limits of functions]
* [http://en.wikipedia.org/wiki/Limit of a function Limits of functions]]
* [http://en.wikipedia.org/wiki/ Continuous function|Continuity]
* [http://en.wikipedia.org/wiki/Continuous function Continuity]]
* [http://en.wikipedia.org/wiki/ Mean value theorem]
* [http://en.wikipedia.org/wiki/Mean value theorem]]
* [http://en.wikipedia.org/wiki/ Rolle's theorem]
* [http://en.wikipedia.org/wiki/Rolle's theorem]]


| list2name      = Differential
| list2name      = Differential
| list2title    = [http://en.wikipedia.org/wiki/ Differential calculus]
| list2title    = [http://en.wikipedia.org/wiki/Differential calculus]]
| list2          =  
| list2          =  
; Definitions:
; Definitions:
* [http://en.wikipedia.org/wiki/ Derivative]
* [http://en.wikipedia.org/wiki/Derivative]]
* [http://en.wikipedia.org/wiki/ Differential (infinitesimal)]
* [http://en.wikipedia.org/wiki/Differential (infinitesimal)]]
* [http://en.wikipedia.org/wiki/ Differential of a function]
* [http://en.wikipedia.org/wiki/Differential of a function]]
* [http://en.wikipedia.org/wiki/ Generalizations of the derivative]
* [http://en.wikipedia.org/wiki/Generalizations of the derivative]]
; Concepts:
; Concepts:
* [http://en.wikipedia.org/wiki/ Notation for differentiation]
* [http://en.wikipedia.org/wiki/Notation for differentiation]]
* [http://en.wikipedia.org/wiki/ Second derivative]
* [http://en.wikipedia.org/wiki/Second derivative]]
* [http://en.wikipedia.org/wiki/ Third derivative]
* [http://en.wikipedia.org/wiki/Third derivative]]
* [http://en.wikipedia.org/wiki/ Change of variables]
* [http://en.wikipedia.org/wiki/Change of variables]]
* [http://en.wikipedia.org/wiki/ Implicit function|Implicit differentiation]
* [http://en.wikipedia.org/wiki/Implicit function Implicit differentiation]]
* [http://en.wikipedia.org/wiki/ Related rates]
* [http://en.wikipedia.org/wiki/Related rates]]
* [http://en.wikipedia.org/wiki/ Taylor's theorem]
* [http://en.wikipedia.org/wiki/Taylor's theorem]]
; [http://en.wikipedia.org/wiki/ Differentiation rules|Rules and identities]:
; [http://en.wikipedia.org/wiki/Differentiation rules Rules and identities]]:
* [http://en.wikipedia.org/wiki/ Sum rule in differentiation|Sums]
* [http://en.wikipedia.org/wiki/Sum rule in differentiation Sums]]
* [http://en.wikipedia.org/wiki/ Product rule|Products]
* [http://en.wikipedia.org/wiki/Product rule Products]]
* [http://en.wikipedia.org/wiki/ Chain rule]
* [http://en.wikipedia.org/wiki/Chain rule]]
* [http://en.wikipedia.org/wiki/ Power rule|Powers]
* [http://en.wikipedia.org/wiki/Power rule Powers]]
* [http://en.wikipedia.org/wiki/ Quotient rule|Quotients]
* [http://en.wikipedia.org/wiki/Quotient rule Quotients]]
* [http://en.wikipedia.org/wiki/ 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      =
* [http://en.wikipedia.org/wiki/ Lists of integrals]
* [http://en.wikipedia.org/wiki/Lists of integrals]]
; Definitions:
; Definitions:
* [http://en.wikipedia.org/wiki/ Antiderivative]
* [http://en.wikipedia.org/wiki/Antiderivative]]
* [http://en.wikipedia.org/wiki/ Integral]
* [http://en.wikipedia.org/wiki/Integral]]
* [http://en.wikipedia.org/wiki/ Improper integral]
* [http://en.wikipedia.org/wiki/Improper integral]]
* [http://en.wikipedia.org/wiki/ Riemann integral]
* [http://en.wikipedia.org/wiki/Riemann integral]]
* [http://en.wikipedia.org/wiki/ Lebesgue integration]
* [http://en.wikipedia.org/wiki/Lebesgue integration]]
* [http://en.wikipedia.org/wiki/ Methods of contour integration|Contour integral]
* [http://en.wikipedia.org/wiki/Methods of contour integration Contour integral]]
; Integration by:
; Integration by:
* [http://en.wikipedia.org/wiki/ Integration by parts|parts]
* [http://en.wikipedia.org/wiki/Integration by parts parts]]
* [http://en.wikipedia.org/wiki/ Disc integration|discs]
* [http://en.wikipedia.org/wiki/Disc integration discs]]
* [http://en.wikipedia.org/wiki/ Shell integration|cylindrical shells]
* [http://en.wikipedia.org/wiki/Shell integration cylindrical shells]]
* [http://en.wikipedia.org/wiki/ Integration by substitution|substitution]
* [http://en.wikipedia.org/wiki/Integration by substitution substitution]]
* [http://en.wikipedia.org/wiki/ trigonometric substitution]
* [http://en.wikipedia.org/wiki/trigonometric substitution]]
* [http://en.wikipedia.org/wiki/ Partial fractions in integration|partial fractions]
* [http://en.wikipedia.org/wiki/Partial fractions in integration partial fractions]]
* [http://en.wikipedia.org/wiki/ Order of integration (calculus)|changing order]
* [http://en.wikipedia.org/wiki/Order of integration (calculus) changing order]]
* [http://en.wikipedia.org/wiki/ Integration by reduction formulae|reduction formulae]
* [http://en.wikipedia.org/wiki/Integration by reduction formulae reduction formulae]]


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


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


| list6name      = Multivariable
| list6name      = Multivariable
| list6title    = [http://en.wikipedia.org/wiki/ Multivariable calculus]
| list6title    = [http://en.wikipedia.org/wiki/Multivariable calculus]]
| list6          =  
| list6          =  
; Formalisms:
; Formalisms:
* [http://en.wikipedia.org/wiki/ Matrix calculus|Matrix]
* [http://en.wikipedia.org/wiki/Matrix calculus Matrix]]
* [http://en.wikipedia.org/wiki/ Tensor calculus|Tensor]
* [http://en.wikipedia.org/wiki/Tensor calculus Tensor]]
* [http://en.wikipedia.org/wiki/ Exterior derivative|Exterior]
* [http://en.wikipedia.org/wiki/Exterior derivative Exterior]]
* [http://en.wikipedia.org/wiki/ Geometric calculus|Geometric]
* [http://en.wikipedia.org/wiki/Geometric calculus Geometric]]
; Definitions:
; Definitions:
* [http://en.wikipedia.org/wiki/ Partial derivative]
* [http://en.wikipedia.org/wiki/Partial derivative]]
* [http://en.wikipedia.org/wiki/ Multiple integral]
* [http://en.wikipedia.org/wiki/Multiple integral]]
* [http://en.wikipedia.org/wiki/ Line integral]
* [http://en.wikipedia.org/wiki/Line integral]]
* [http://en.wikipedia.org/wiki/ Surface integral]
* [http://en.wikipedia.org/wiki/Surface integral]]
* [http://en.wikipedia.org/wiki/ Volume integral]
* [http://en.wikipedia.org/wiki/Volume integral]]
* [http://en.wikipedia.org/wiki/ 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          =  
* [http://en.wikipedia.org/wiki/ Calculus of variations]
* [http://en.wikipedia.org/wiki/Calculus of variations]]
* [http://en.wikipedia.org/wiki/ Fractional calculus|Fractional]
* [http://en.wikipedia.org/wiki/Fractional calculus Fractional]]
* [http://en.wikipedia.org/wiki/ Malliavin calculus|Malliavin]
* [http://en.wikipedia.org/wiki/Malliavin calculus Malliavin]]
* [http://en.wikipedia.org/wiki/ Stochastic calculus|Stochastic]
* [http://en.wikipedia.org/wiki/Stochastic calculus Stochastic]]


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

Revision as of 17:18, 3 November 2013