Difference between revisions of "Template:Calculus"
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| − | {| | + | <includeonly>{{#invoke:sidebar|collapsible |
| − | |- | + | | class = plainlist |
| − | | | + | | titlestyle = padding-bottom:0.25em; |
| − | |- | + | | pretitle = Part of a series of articles about |
| − | | | + | | title = [[Calculus]] |
| − | [[Fundamental theorem of calculus|Fundamental theorem]] | + | | image = |
| − | | | + | | listtitlestyle = text-align:center; |
| − | | [[ | + | | liststyle = border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa; |
| − | | | + | | expanded = {{{expanded|{{lc:{{{selected|{{{1|}}}}}}}}}}} |
| − | | | + | |
| − | [[Product rule|Product | + | | abovestyle = padding:0.15em 0.25em 0.3em;font-weight:normal; |
| − | | | + | | above = |
| − | | [[Integral| | + | * [[Fundamental theorem of calculus|Fundamental theorem]] |
| − | | | + | * [[Leibniz integral rule]] |
| − | | | + | {{startflatlist}} |
| − | [[Lists of integrals]] | + | * [[Limit of a function|Limits of functions]] |
| − | [[Improper integral]] | + | * [[Continuous function|Continuity]] |
| − | + | {{endflatlist}}{{startflatlist}} | |
| − | [[Integration by parts| | + | * [[Mean value theorem]] |
| − | |- | + | * [[Rolle's theorem]] |
| − | | < | + | {{endflatlist}} |
| − | | | + | |
| − | [[ | + | | list2name = differential |
| − | </noinclude> | + | | 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]] ([[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]] | ||
| + | ** [[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]] ([[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]] ([[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]] ([[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
| Part of a series of articles about | ||||||
| Calculus | ||||||
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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
| The above documentation is transcluded from Template:Calculus/doc. (edit | history) Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages. Please add categories to the /doc subpage. Subpages of this template. |