Jump to content

Template:Calculus

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by Schmock (talk | contribs) at 23:09, 2 December 2012 (Faà di Bruno's formula and Multi-index notation added). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

Topics in calculus
Fundamental theorem Limits of functions Continuity Mean value theorem Rolle's theorem
Differential calculus Derivative Second derivative Third derivative Change of variables Implicit differentiation Taylor's theorem Related rates Rules and identities Power rule Product rule Quotient rule Sum rule Chain rule Faà di Bruno's formula
Integral calculus Lists of integrals Improper integral Multiple integral Integration by parts disks cylindrical shells substitution trigonometric substitution partial fractions changing order
Series Geometric series Harmonic series Alternating series Power series Taylor series Convergence tests Limit of the summand Ratio test Root test Integral test Comparison test Alternating series test
Vector calculus Gradient Divergence Curl Laplacian Gradient theorem Green's theorem Stokes' theorem Divergence theorem
Multivariable calculus Multi-index notation Matrix calculus Partial derivative Multiple integral Line integral Surface integral Volume integral Jacobian
v t e

Template documentation[view] [edit] [history] [purge]

Topics in calculus
Fundamental theorem Limits of functions Continuity Mean value theorem Rolle's theorem
Differential calculus Derivative Second derivative Third derivative Change of variables Implicit differentiation Taylor's theorem Related rates Rules and identities Power rule Product rule Quotient rule Sum rule Chain rule Faà di Bruno's formula
Integral calculus Lists of integrals Improper integral Multiple integral Integration by parts disks cylindrical shells substitution trigonometric substitution partial fractions changing order
Series Geometric series Harmonic series Alternating series Power series Taylor series Convergence tests Limit of the summand Ratio test Root test Integral test Comparison test Alternating series test
Vector calculus Gradient Divergence Curl Laplacian Gradient theorem Green's theorem Stokes' theorem Divergence theorem
Multivariable calculus Multi-index notation Matrix calculus Partial derivative Multiple integral Line integral Surface integral Volume integral Jacobian
v t e

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

Math templates

Functions
Numeral systems

Functions	elementary arithmetic precision val (value formatting) percentage
Numeral systems	{{#invoke:BaseConvert\|XtoY}} binary decimal2Base hex2dec hexadecimal octal quaternary rn roman ternary vigesimal

Conversions

convert	many units (see: list)
cvt	abbreviated {{convert}}
convinfobox	{{convert}} for infoboxes
bbl to t	barrels of oil to tonnes
long ton	long hundredweights, quarters and pounds to kilograms; long tons and hundredweights to pounds and metric tons
miles-chains	miles and chains to kilometres linking "chains"

decdeg	degrees, minutes, and seconds to decimal degrees
deg2dms	decimal degrees to degrees, minutes, and seconds
deg2hms	decimal degrees to hour angle (in hours, minutes, and seconds)
hms2deg	hour angle (in hours, minutes, and seconds) to decimal degrees
inflation	calculate inflation of Consumer Price Index-related prices
pop density	population density in an area
track gauge	railway track gauges

Notation and formatting

bigmath	bigger font to match TeX `\displaystyle` (standalone formulas only)
bra-ket braket bra ket	bra–ket notation
ceil, floor	calculations :mw:Help:#expr; formatting indicators ⌈3.14⌉, ⌊3.14⌋ (no calculation performed)
fraction	slant fractions 3⁄5 (not for maths/science articles; use standing or upright fractions `{{sfrac}}` instead)
intmath	integral symbols
langle rangle angbr	angular brackets
ldelim rdelim	multiline delimiters (2–5 lines inclusive)
abs	absolute values (paired vertical lines)
math	short text-based formulas
mathcal	[mathematical] calligraphic font; alternative to LaTeX `\mathcal{...}`

mvar	individual italicized maths variables in normal text
overline underline	a line set above/below a sequence of characters
overarc	an arc set above a sequence of characters
overset underset	arbitrary characters/diacritics set above/below one another
pars	parentheses that can be resized $(\sum)$
sfrac	"standing" or upright fractions ⁠3/5⁠ (use in maths/science articles instead of`{{fraction}}`)
sub sup su	subscripts and superscripts
tmath	Wrap TeX in <math> tags
tombstone	symbol indicating the end of a proof
val	measurement values, uncertainties and units
vec	various overarrows, underarrows, etc.

Boxes

Tags

Notices

Boxes	Tags
arithmetic operations calculus Infobox mathematical function functions	metricate undue precision units attention

The above documentation is transcluded from Template:Calculus/doc.
Editors can experiment in this template's sandbox and testcases pages.
Add categories to the /doc subpage. Subpages of this template.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Template:Calculus&oldid=526085596"

Mathematics sidebar templates