Difference between revisions of "Template:Calculus"

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{| align="right" class="infobox" style="width: 200px; margin: 0 0 1em 1em"
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<includeonly>{{#invoke:sidebar|collapsible
|- style="background:#ccccff" align="center"
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| class = plainlist
| style="border-bottom: 2px solid #303060"" | '''Topics in [[calculus]]'''
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| titlestyle = padding-bottom:0.25em;
|-  
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| pretitle = Part of a series of articles about
|align="center"| 
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| title = [[Calculus]]
[[Fundamental theorem of calculus|Fundamental theorem]] <br/>  [[Limit of a function|Limits of functions]] <br/> [[Continuous function|Continuity]] <br/> [[Vector calculus]]</br>[[Tensor|Tensor calculus]]<br/> [[Mean value theorem]]
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| image =
|- style="background:#ccccff" align="center"
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| listtitlestyle = text-align:center;
| [[Derivative|'''Differentiation''']]
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| liststyle = border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa;
|-
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| expanded = {{{expanded|{{lc:{{{selected|{{{1|}}}}}}}}}}}
|align="center"|
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[[Product rule|Product rule]] <br/> [[Quotient rule|Quotient rule]] <br/> [[Chain rule]]<br/>  [[Implicit function|Implicit differentiation]] <br/> [[Taylor's theorem]] <br/>  [[Related rates]] <br/> [[Table of derivatives]]  
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| abovestyle = padding:0.15em 0.25em 0.3em;font-weight:normal;
|- style="background:#ccccff" align="center"
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| above =
| [[Integral|'''Integration''']]
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* [[Fundamental theorem of calculus|Fundamental theorem]]
|-
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* [[Leibniz integral rule]]
|align="center"|
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{{startflatlist}}
[[Lists of integrals]] <br/>
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* [[Limit of a function|Limits of functions]]
[[Improper integral]]s <br/>
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* [[Continuous function|Continuity]]
''Integration by'':
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{{endflatlist}}{{startflatlist}}
[[Integration by parts|parts]], [[Disk integration|disks]],<br/> [[Shell integration|cylindrical shells]], [[Integration by substitution|substitution]],<br/> [[Trigonometric substitution|trigonometric substitution]]
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* [[Mean value theorem]]
|-
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* [[Rolle's theorem]]
| <center>{{Tnavbar|Calculus}}</center>
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{{endflatlist}}
|}<noinclude>
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[[Category:Mathematics navigational boxes|{{PAGENAME}}]]
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| list2name = differential
</noinclude>
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| list2titlestyle = display:block;margin-top:0.65em;
 +
| list2title = {{bigger|[[Differential calculus|Differential]]}}<!--resized here rather than via listtitlestyle otherwise [show/hide] link also resized-->
 +
| list2 =
 +
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
 +
  |contentclass=hlist
 +
  | heading1 = Definitions
 +
  | content1 =
 +
* [[Derivative]]&nbsp;([[Generalizations of the derivative|generalizations]])
 +
{{startflatlist|style=padding:0.1em 0;line-height:1.2em;<!--(longitem)-->}}
 +
* [[Differential (mathematics)|Differential]]
 +
** [[Differential (infinitesimal)|infinitesimal]]
 +
** [[Differential of a function|of a function]]
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** [[Differential of a function#Differentials in several variables|total]]
 +
{{endflatlist}}
 +
  | heading2 = Concepts
 +
  | content2 = {{startflatlist}}
 +
* [[Notation for differentiation|Differentiation notation]]
 +
* [[Second derivative]]
 +
* [[Implicit function|Implicit differentiation]]
 +
* [[Logarithmic differentiation]]
 +
* [[Related rates]]
 +
* [[Taylor's theorem]]
 +
{{endflatlist}}
 +
  | heading3 = [[Differentiation rules|Rules and identities]]
 +
  | content3 = {{startflatlist}}
 +
* [[Sum rule in differentiation|Sum]]
 +
* [[Product rule|Product]]
 +
* [[Chain rule|Chain]]
 +
* [[Power rule|Power]]
 +
* [[Quotient rule|Quotient]]
 +
* [[L'Hôpital's rule]]
 +
* [[Inverse functions and differentiation|Inverse]]
 +
* [[General Leibniz rule|General Leibniz]]
 +
* [[Faà di Bruno's formula]]
 +
{{endflatlist}}
 +
}}
 +
 
 +
| list3name = integral
 +
| list3title = {{bigger|[[Integral<!--|Integral calculus-->]]}}<!--(as above, etc)-->
 +
| list3 =
 +
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
 +
  |contentclass=hlist
 +
  | content1 =
 +
* [[Lists of integrals]]
 +
* [[Integral transform]]
 +
  | heading2 = Definitions
 +
  | content2 =
 +
* [[Antiderivative]]
 +
* [[Integral]]&nbsp;([[Improper integral|improper]])
 +
* [[Riemann integral]]
 +
* [[Lebesgue integration]]
 +
* [[Contour integration]]
 +
* [[Integral of inverse functions]]
 +
  | heading3 = Integration by
 +
  | content3 =
 +
* [[Integration by parts|Parts]]
 +
* [[Disc integration|Discs]]
 +
* [[Shell integration|Cylindrical shells]]
 +
* [[Integration by substitution|Substitution]]&nbsp;([[Trigonometric substitution|trigonometric]], [[Weierstrass substitution|Weierstrass]], [[Euler substitution|Euler]])
 +
* [[Integration using Euler's formula|Euler's formula]]
 +
* [[Partial fractions in integration|Partial fractions]]
 +
* [[Order of integration (calculus)|Changing order]]
 +
* [[Integration by reduction formulae|Reduction formulae]]
 +
* [[Leibniz integral rule#Evaluating definite integrals|Differentiating under the integral sign]]
 +
}}
 +
 
 +
| list4name = series
 +
| list4title = {{bigger|[[Series (mathematics)|Series]]}}
 +
| list4 =
 +
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
 +
  |contentclass=hlist
 +
  | content1 =
 +
* [[Geometric series|Geometric]]&nbsp;([[Arithmetico–geometric sequence|arithmetico-geometric]])
 +
* [[Harmonic series (mathematics)|Harmonic]]
 +
* [[Alternating series|Alternating]]
 +
* [[Power series|Power]]
 +
* [[Binomial series|Binomial]]
 +
* [[Taylor series|Taylor]]
 +
  | heading2 = [[Convergence tests]]
 +
  | content2 =
 +
* [[Term test|Summand limit (term test)]]
 +
* [[Ratio test|Ratio]]
 +
* [[Root test|Root]]
 +
* [[Integral test for convergence|Integral]]
 +
* [[Direct comparison test|Direct comparison]]
 +
* <br/>[[Limit comparison test|Limit comparison]]
 +
* [[Alternating series test|Alternating series]]
 +
* [[Cauchy condensation test|Cauchy condensation]]
 +
* [[Dirichlet's test|Dirichlet]]
 +
* [[Abel's test|Abel]]
 +
}}
 +
 
 +
| list5name = vector
 +
| list5title = {{bigger|[[Vector calculus|Vector]]}}
 +
| list5 =
 +
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
 +
  |contentclass=hlist
 +
  | content1 =
 +
* [[Gradient]]
 +
* [[Divergence]]
 +
* [[Curl (mathematics)|Curl]]
 +
* [[Laplace operator|Laplacian]]
 +
* [[Directional derivative]]
 +
* [[Vector calculus identities|Identities]]
 +
  | heading2 = Theorems
 +
  | content2 =
 +
* [[Gradient theorem|Gradient]]
 +
* [[Green's theorem|Green's]]
 +
* [[Kelvin–Stokes theorem|Stokes']]
 +
* [[Divergence theorem|Divergence]]
 +
* [[Stokes' theorem|generalized Stokes]]
 +
}}
 +
 
 +
| list6name = multivariable
 +
| list6title = {{bigger|[[Multivariable calculus|Multivariable]]}}
 +
| list6 =
 +
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
 +
  |contentclass=hlist
 +
  | heading1 = Formalisms
 +
  | content1 =
 +
* [[Matrix calculus|Matrix]]
 +
* [[Tensor calculus|Tensor]]
 +
* [[Exterior derivative|Exterior]]
 +
* [[Geometric calculus|Geometric]]
 +
  | heading2 = Definitions
 +
  | content2 =
 +
* [[Partial derivative]]
 +
* [[Multiple integral]]
 +
* [[Line integral]]
 +
* [[Surface integral]]
 +
* [[Volume integral]]
 +
* [[Jacobian matrix and determinant|Jacobian]]
 +
* [[Hessian matrix|Hessian]]
 +
}}
 +
 
 +
| list7name = specialized
 +
| list7title = {{bigger|Specialized}}
 +
| list7 = {{startflatlist}}
 +
* [[Fractional calculus|Fractional]]
 +
* [[Malliavin calculus|Malliavin]]
 +
* [[Stochastic calculus|Stochastic]]
 +
* [[Calculus of variations|Variations]]
 +
{{endflatlist}}
 +
 
 +
| list8name = glossary
 +
| list8title = {{bigger|[[Glossary of calculus]]}}
 +
| list8 = {{startflatlist}}
 +
* [[Glossary of calculus]]
 +
* [[List of calculus topics]]
 +
{{endflatlist}}
 +
 
 +
}}</includeonly><noinclude>{{Documentation}}</noinclude>

Latest revision as of 03:41, 17 November 2020

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Template:Calculus is used to give a brief outline of calculus topics (you can see an example on the right).

Collapsible lists

This template includes collapsible lists.

  • To set it to display all lists when it appears (i.e. all lists expanded), use:
  •  {{Calculus |expanded=all}} or, if enabled, {{Calculus |all}}  (i.e. omitting "expanded=").
  • To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
  •  {{Calculus |expanded=listname}} or, if enabled, {{Calculus |listname}}
  • …where listname is one of the following (do not include any quotemarks):
  • differential, integral, series, vector, multivariable, specialized

See also