Template:Calculus: Difference between revisions
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<includeonly>{{#invoke:sidebar|collapsible | <includeonly>{{#invoke:sidebar|collapsible | ||
| class = plainlist | | class = plainlist | ||
| titlestyle = padding-bottom:0.25em; | | titlestyle = padding-bottom:0.25em; | ||
| pretitle = Part of a series of articles about | |||
| pretitle = | | title = [[Calculus]] | ||
| title =[[ | |||
| listtitlestyle = text-align:center; | | listtitlestyle = text-align:center; | ||
| liststyle = border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa; | | liststyle = border-top:1px solid #aaa;padding-top:0.15em;border-bottom:1px solid #aaa; | ||
| expanded = {{{expanded|{{lc:{{{selected|{{{1|}}}}}}}}}}} | | expanded = {{{expanded|{{lc:{{{selected|{{{1|}}}}}}}}}}} | ||
| abovestyle = padding:0.15em 0.25em 0.3em;font-weight:normal; | | abovestyle = padding:0.15em 0.25em 0.3em;font-weight:normal; | ||
| above = | |||
* [[Fundamental theorem of calculus|Fundamental theorem]] | |||
* [[Leibniz integral rule]] | |||
{{startflatlist}} | |||
* [[Limit of a function|Limits of functions]] | |||
* [[Continuous function|Continuity]] | |||
{{endflatlist}}{{startflatlist}} | |||
* [[Mean value theorem]] | |||
* [[Rolle's theorem]] | |||
{{endflatlist}} | |||
| list2name = differential | | list2name = differential | ||
| list2titlestyle = display:block;margin-top:0.65em; | | list2titlestyle = display:block;margin-top:0.65em; | ||
| list2title = {{bigger|[[Differential calculus|Differential]]}}<!--resized here rather than via listtitlestyle otherwise [show/hide] link also resized--> | | list2title = {{bigger|[[Differential calculus|Differential]]}}<!--resized here rather than via listtitlestyle otherwise [show/hide] link also resized--> | ||
| list2 ={{#invoke:sidebar|sidebar | | list2 ={{#invoke:sidebar|sidebar|child=yes | ||
|child=yes | |contentclass=hlist | ||
| heading1 = Definitions | |||
|contentclass=hlist | | content1 = | ||
* [[Derivative]] ([[Generalizations of the derivative|generalizations]]) | |||
| heading1 = | * [[Differential (mathematics)|Differential]] | ||
| content1 =* [[ | ** [[Differential (infinitesimal)|infinitesimal]] | ||
* [[ | ** [[Differential of a function|of a function]] | ||
** [[ | ** [[Differential of a function#Differentials in several variables|total]] | ||
** [[ | | heading2 = Concepts | ||
** [[ | | content2 = | ||
| heading2 = | * [[Notation for differentiation|Differentiation notation]] | ||
| content2 =* [[ | * [[Second derivative]] | ||
* [[ | * [[Implicit function|Implicit differentiation]] | ||
* [[ | * [[Logarithmic differentiation]] | ||
* [[ | * [[Related rates]] | ||
* [[ | * [[Taylor's theorem]] | ||
* [[ | | heading3 = [[Differentiation rules|Rules and identities]] | ||
| heading3 =[[ | | content3 = | ||
| content3 =* [[ | * [[Sum rule in differentiation|Sum]] | ||
* [[ | * [[Product rule|Product]] | ||
* [[ | * [[Chain rule|Chain]] | ||
* [[ | * [[Power rule|Power]] | ||
* [[ | * [[Quotient rule|Quotient]] | ||
* [[L' | * [[L'Hôpital's rule]] | ||
* [[ | * [[Inverse function rule|Inverse]] | ||
* [[ | * [[General Leibniz rule|General Leibniz]] | ||
* [[ | * [[Faà di Bruno's formula]] | ||
* [[ | * [[Reynolds transport theorem|Reynolds]] | ||
}} | }} | ||
| list3name = integral | | list3name = integral | ||
| list3title = {{bigger|[[Integral<!--|Integral calculus-->]]}}<!--(as above, etc)--> | | list3title = {{bigger|[[Integral<!--|Integral calculus-->]]}}<!--(as above, etc)--> | ||
| list3 ={{#invoke:sidebar|sidebar | | list3 ={{#invoke:sidebar|sidebar|child=yes | ||
|child=yes | |contentclass=hlist | ||
| content1 = | |||
|contentclass=hlist | * [[Lists of integrals]] | ||
* [[Integral transform]] | |||
| content1 =* [[ | | heading2 = Definitions | ||
* [[ | | content2 = | ||
| heading2 = | * [[Antiderivative]] | ||
| content2 =* [[ | * [[Integral]] ([[Improper integral|improper]]) | ||
* [[ | * [[Riemann integral]] | ||
* [[Riemann | * [[Lebesgue integration]] | ||
* [[Lebesgue | * [[Contour integration]] | ||
* [[ | * [[Integral of inverse functions]] | ||
* [[ | | heading3 = Integration by | ||
| heading3 = | | content3 = | ||
| content3 =* [[ | * [[Integration by parts|Parts]] | ||
* [[ | * [[Disc integration|Discs]] | ||
* [[ | * [[Shell integration|Cylindrical shells]] | ||
* [[ | * [[Integration by substitution|Substitution]] ([[Trigonometric substitution|trigonometric]], [[Tangent half-angle substitution|tangent half-angle]], [[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 | * [[Leibniz integral rule#Evaluating definite integrals|Differentiating under the integral sign]] | ||
* [[ | * [[Risch algorithm]] | ||
}} | }} | ||
| list4name = series | | list4name = series | ||
| list4title = {{bigger|[[Series (mathematics)|Series]]}} | | list4title = {{bigger|[[Series (mathematics)|Series]]}} | ||
| list4 ={{#invoke:sidebar|sidebar | | list4 ={{#invoke:sidebar|sidebar|child=yes | ||
|child=yes | |contentclass=hlist | ||
| content1 = | |||
|contentclass=hlist | * [[Geometric series|Geometric]] ([[Arithmetico–geometric sequence|arithmetico-geometric]]) | ||
* [[Harmonic series (mathematics)|Harmonic]] | |||
| content1 =* [[ | * [[Alternating series|Alternating]] | ||
* [[ | * [[Power series|Power]] | ||
* [[ | * [[Binomial series|Binomial]] | ||
* [[ | * [[Taylor series|Taylor]] | ||
* [[ | | heading2 = [[Convergence tests]] | ||
* [[ | | content2 = | ||
| heading2 =[[ | * [[Term test|Summand limit (term test)]] | ||
| content2 =* [[ | * [[Ratio test|Ratio]] | ||
* [[ | * [[Root test|Root]] | ||
* [[ | * [[Integral test for convergence|Integral]] | ||
* [[ | * [[Direct comparison test|Direct comparison]] | ||
* [[ | * <br/>[[Limit comparison test|Limit comparison]] | ||
*<br/>[[ | * [[Alternating series test|Alternating series]] | ||
* [[ | * [[Cauchy condensation test|Cauchy condensation]] | ||
* [[Cauchy | * [[Dirichlet's test|Dirichlet]] | ||
* [[Dirichlet | * [[Abel's test|Abel]] | ||
* [[ | |||
}} | }} | ||
| list5name = vector | | list5name = vector | ||
| list5title = {{bigger|[[Vector calculus|Vector]]}} | | list5title = {{bigger|[[Vector calculus|Vector]]}} | ||
| list5 ={{#invoke:sidebar|sidebar | | list5 ={{#invoke:sidebar|sidebar|child=yes | ||
|child=yes | |contentclass=hlist | ||
| content1 = | |||
|contentclass=hlist | * [[Gradient]] | ||
* [[Divergence]] | |||
| content1 =* [[ | * [[Curl (mathematics)|Curl]] | ||
* [[ | * [[Laplace operator|Laplacian]] | ||
* [[ | * [[Directional derivative]] | ||
* [[ | * [[Vector calculus identities|Identities]] | ||
* [[ | | heading2 = Theorems | ||
* [[ | | content2 = | ||
| heading2 = | * [[Gradient theorem|Gradient]] | ||
| content2 =* [[ | * [[Green's theorem|Green's]] | ||
* [[ | * [[Stokes' theorem|Stokes']] | ||
* [[ | * [[Divergence theorem|Divergence]] | ||
* [[ | * [[Generalized Stokes' theorem|generalized Stokes]] | ||
* [[ | |||
}} | }} | ||
| list6name = multivariable | | list6name = multivariable | ||
| list6title = {{bigger|[[Multivariable calculus|Multivariable]]}} | | list6title = {{bigger|[[Multivariable calculus|Multivariable]]}} | ||
| list6 ={{#invoke:sidebar|sidebar | | list6 ={{#invoke:sidebar|sidebar|child=yes | ||
|child=yes | |contentclass=hlist | ||
| heading1 = Formalisms | |||
|contentclass=hlist | | content1 = | ||
* [[Matrix calculus|Matrix]] | |||
| heading1 = | * [[Tensor calculus|Tensor]] | ||
| content1 =* [[ | * [[Exterior derivative|Exterior]] | ||
* [[ | * [[Geometric calculus|Geometric]] | ||
* [[ | | heading2 = Definitions | ||
* [[ | | content2 = | ||
| heading2 = | * [[Partial derivative]] | ||
| content2 =* [[ | * [[Multiple integral]] | ||
* [[ | * [[Line integral]] | ||
* [[ | * [[Surface integral]] | ||
* [[ | * [[Volume integral]] | ||
* [[ | * [[Jacobian matrix and determinant|Jacobian]] | ||
* [[ | * [[Hessian matrix|Hessian]] | ||
* [[ | |||
}} | }} | ||
| list7name = advanced | | list7name = advanced | ||
| list7title = {{bigger|Advanced}} | | list7title = {{bigger|Advanced}} | ||
| list7 ={{#invoke:sidebar|sidebar | | list7 ={{#invoke:sidebar|sidebar|child=yes | ||
|child=yes | |contentclass=hlist | ||
| content1 = | |||
|contentclass=hlist | * [[Calculus on Euclidean space]] | ||
* [[Limit of distributions]] | |||
| content1 =* [[ | |||
* [[ | |||
}} | }} | ||
| list8name = specialized | | list8name = specialized | ||
| list8title = {{bigger|Specialized}} | | list8title = {{bigger|Specialized}} | ||
| list8 =* [[ | | list8 = | ||
* [[ | * [[Fractional calculus|Fractional]] | ||
* [[ | * [[Malliavin calculus|Malliavin]] | ||
* [[ | * [[Stochastic calculus|Stochastic]] | ||
* [[Calculus of variations|Variations]] | |||
| list9name = miscellaneous | | list9name = miscellaneous | ||
| list9title = {{bigger|Miscellaneous}} | | list9title = {{bigger|Miscellaneous}} | ||
| list9 =* [[Precalculus]] | | list9 = | ||
* [[ | * [[Precalculus]] | ||
* [[ | * [[History of calculus|History]] | ||
* [[ | * [[Glossary of calculus|Glossary]] | ||
* [[ | * [[List of calculus topics|List of topics]] | ||
* [[ | * [[Integration Bee]] | ||
}} | * [[Mathematical analysis]] | ||
</includeonly> | }}</includeonly><noinclude>{{Documentation}}</noinclude>[[Category: Templates Vigyan Ready]] | ||
<noinclude>{{Documentation}} | |||
</noinclude>[[Category: Templates Vigyan Ready]] | |||
Revision as of 11:59, 18 January 2023
| Part of a series of articles about |
| Calculus |
|---|
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:
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{{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:
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{{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
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