• Home
  • Random
  • Nearby
  • Log in
  • Settings
Donate Now If Wikipedia is useful to you, please give today.
  • About Wikipedia
  • Disclaimers
Wikipedia

Template:Calculus

  • Template
  • Talk
  • Language
  • Watch
  • Edit
Template documentation[view] [edit] [history] [purge]
Part of a series of articles about
Calculus
∫ a b f ′ ( t ) d t = f ( b ) − f ( a ) {\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)} {\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}
  • Fundamental theorem
  • Limits
  • Continuity
  • Rolle's theorem
  • Mean value theorem
  • Inverse function theorem
Differential
Definitions
  • Derivative (generalizations)
  • Differential
    • infinitesimal
    • of a function
    • total
Concepts
  • Differentiation notation
  • Second derivative
  • Implicit differentiation
  • Logarithmic differentiation
  • Related rates
  • Taylor's theorem
Rules and identities
  • Sum
  • Product
  • Chain
  • Power
  • Quotient
  • L'Hôpital's rule
  • Inverse
  • General Leibniz
  • Faà di Bruno's formula
  • Reynolds
Integral
  • Lists of integrals
  • Integral transform
  • Leibniz integral rule
Definitions
  • Antiderivative
  • Integral (improper)
  • Riemann integral
  • Lebesgue integration
  • Contour integration
  • Integral of inverse functions
  • Nonelementary integral
Integration by
  • Parts
  • Discs
  • Cylindrical shells
  • Substitution (trigonometric, tangent half-angle, Euler)
  • Euler's formula
  • Partial fractions (Heaviside's method)
  • Changing order
  • Reduction formulae
  • Differentiating under the integral sign
  • Risch algorithm
Series
  • Geometric (arithmetico-geometric)
  • Harmonic
  • Alternating
  • Power
  • Binomial
  • Taylor
Convergence tests
  • Summand limit (term test)
  • Ratio
  • Root
  • Integral
  • Direct comparison

  • Limit comparison
  • Alternating series
  • Cauchy condensation
  • Dirichlet
  • Abel
Vector
  • Gradient
  • Divergence
  • Curl
  • Laplacian
  • Directional derivative
  • Identities
Theorems
  • Gradient
  • Green's
  • Stokes'
  • Divergence
  • Generalized Stokes
  • Helmholtz decomposition
Multivariable
Formalisms
  • Matrix
  • Tensor
  • Exterior
  • Geometric
Definitions
  • Partial derivative
  • Multiple integral
  • Line integral
  • Surface integral
  • Volume integral
  • Jacobian
  • Hessian
Theorems
  • Clairaut's
  • Fubini's
Advanced
  • Calculus on Euclidean space
  • Generalized functions
  • Limit of distributions
Specialized
  • Fractional
  • Malliavin
  • Stochastic
  • Variations
Miscellanea
  • Precalculus
  • History
  • Glossary
  • List of topics
  • Integration Bee
  • Mathematical analysis
  • Nonstandard analysis
  • 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

edit

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 {{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 {{Calculus|listname}}
    • ...where listname is one of the following (do not include any quotemarks):
    • differential, integral, series, vector, multivariable, specialized

See also

edit
  • v
  • t
  • e
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) math short text-based formulas
mathcal [mathematical] calligraphic font; alternative to LaTeX \mathcal{...} tombstone symbol indicating the end of a proof
mvar individual italicized maths variables in normal text val measurement values, uncertainties and units
  • overline
  • underline
  • overunderline
a line set above/below a sequence of characters vec various overarrows, underarrows, etc.
abs absolute values (paired vertical lines)
  • langle
  • rangle
  • angbr
angular brackets
  • bra-ket
  • braket
  • bra
  • ket
bra–ket notation
  • ldelim
  • rdelim
multiline delimiters (2–5 lines inclusive)
ceil, floor calculations :mw:Help:#expr; formatting indicators ⌈3.14⌉, ⌊3.14⌋ (no calculation performed) pars parentheses that can be resized (∑)
fraction slant fractions 3⁄5 (not for maths/science articles; use standing or upright fractions {{sfrac}} instead) sfrac "standing" or upright fractions ⁠3/5⁠ (use in maths/science articles instead of{{fraction}})
intmath integral symbolssum-int an integral superimposed over a capital sigma
  • sub
  • sup
  • su
subscripts and superscripts
  • overset
  • underset
arbitrary characters/diacritics set above/below one another
    tmath Wrap TeX in <math> tags
  • Boxes
  • Tags
  • Notices
BoxesTags
  • arithmetic operations
  • calculus
  • Infobox mathematical function
  • functions
  • metricate
  • undue precision
  • units attention
  • Category
  • Module:Math
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.
Add categories to the /doc subpage. Subpages of this template.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Template:Calculus&oldid=1353729840"