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| {{Sidebar | | {{Sidebar |
| | name = Calculus | | | name = Calculus |
| | title = [http://en.wikipedia.org/wiki/ Calculus] | | | outertitle = Diffusion Math |
| | listtitlestyle = text-align: center | | | topimage = Δ |
| | listclass = hlist | | | title = Calculus |
| | expanded = {{{expanded|{{{1|}}}}}} | | | heading1 = Fundamental theorem |
| | | | heading2 = Continuity |
| | aboveclass = plainlist | | | heading3 = Limits of functions |
| | above = | | | heading4 = Mean value theorem |
| * [http://en.wikipedia.org/wiki/ Fundamental theorem of calculus|Fundamental theorem]
| | | heading5 = Rolle's theorem |
| * [http://en.wikipedia.org/wiki/ Limit of a function|Limits of functions]
| | | heading6= Concepts |
| * [http://en.wikipedia.org/wiki/ Continuous function|Continuity]
| | | content1 = Differential calculus |
| * [http://en.wikipedia.org/wiki/ Mean value theorem]
| | | content1 = Integral calculus |
| * [http://en.wikipedia.org/wiki/ Rolle's theorem]
| | | content1 = Series |
| | | | content1 = Vector calculus |
| | list2name = Differential | | | content1 = Multivariable calculus |
| | list2title = [http://en.wikipedia.org/wiki/ Differential calculus]
| | }} |
| | list2 = | |
| ; Definitions:
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| * [http://en.wikipedia.org/wiki/ Derivative]
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| * [http://en.wikipedia.org/wiki/ Differential (infinitesimal)]
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| * [http://en.wikipedia.org/wiki/ Differential of a function]
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| * [http://en.wikipedia.org/wiki/ Generalizations of the derivative]
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| ; Concepts:
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| * [http://en.wikipedia.org/wiki/ Notation for differentiation]
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| * [http://en.wikipedia.org/wiki/ Second derivative]
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| * [http://en.wikipedia.org/wiki/ Third derivative]
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| * [http://en.wikipedia.org/wiki/ Change of variables]
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| * [http://en.wikipedia.org/wiki/ Implicit function|Implicit differentiation]
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| * [http://en.wikipedia.org/wiki/ Related rates]
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| * [http://en.wikipedia.org/wiki/ Taylor's theorem]
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| ; [http://en.wikipedia.org/wiki/ Differentiation rules|Rules and identities]:
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| * [http://en.wikipedia.org/wiki/ Sum rule in differentiation|Sums]
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| * [http://en.wikipedia.org/wiki/ Product rule|Products]
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| * [http://en.wikipedia.org/wiki/ Chain rule]
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| * [http://en.wikipedia.org/wiki/ Power rule|Powers]
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| * [http://en.wikipedia.org/wiki/ Quotient rule|Quotients]
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| * [http://en.wikipedia.org/wiki/ Faà di Bruno's formula]
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| | |
| | list3name = Integral
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| | list3title = Integral calculus
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| | list3 = | |
| * [http://en.wikipedia.org/wiki/ Lists of integrals]
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| ; Definitions:
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| * [http://en.wikipedia.org/wiki/ Antiderivative]
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| * [http://en.wikipedia.org/wiki/ Integral]
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| * [http://en.wikipedia.org/wiki/ Improper integral]
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| * [http://en.wikipedia.org/wiki/ Riemann integral]
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| * [http://en.wikipedia.org/wiki/ Lebesgue integration]
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| * [http://en.wikipedia.org/wiki/ Methods of contour integration|Contour integral]
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| ; Integration by:
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| * [http://en.wikipedia.org/wiki/ Integration by parts|parts]
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| * [http://en.wikipedia.org/wiki/ Disc integration|discs]
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| * [http://en.wikipedia.org/wiki/ Shell integration|cylindrical shells]
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| * [http://en.wikipedia.org/wiki/ Integration by substitution|substitution]
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| * [http://en.wikipedia.org/wiki/ trigonometric substitution]
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| * [http://en.wikipedia.org/wiki/ Partial fractions in integration|partial fractions]
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| * [http://en.wikipedia.org/wiki/ Order of integration (calculus)|changing order]
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| * [http://en.wikipedia.org/wiki/ Integration by reduction formulae|reduction formulae]
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| | |
| | list4name = Series
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| | list4title = [http://en.wikipedia.org/wiki/ Series (mathematics)|Series] | |
| | list4 =
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| * [http://en.wikipedia.org/wiki/ Geometric series|Geometric]
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| * [http://en.wikipedia.org/wiki/ Arithmetico-geometric sequence|Arithmetico-geometric]
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| * [http://en.wikipedia.org/wiki/ Harmonic series (mathematics)|Harmonic]
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| * [http://en.wikipedia.org/wiki/ Alternating series|Alternating]
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| * [http://en.wikipedia.org/wiki/ Power series|Power]
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| * [http://en.wikipedia.org/wiki/ Binomial series|Binomial]
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| * [http://en.wikipedia.org/wiki/ Taylor series|Taylor]
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| ; [http://en.wikipedia.org/wiki/ Convergence tests]:
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| * [http://en.wikipedia.org/wiki/ Term test|Summand limit (Term test)]
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| * [http://en.wikipedia.org/wiki/ Ratio test|Ratio]
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| * [http://en.wikipedia.org/wiki/ Root test|Root]
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| * [http://en.wikipedia.org/wiki/ Integral test for convergence|Integral]
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| * [http://en.wikipedia.org/wiki/ Direct comparison test|Direct comparison]
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| * [http://en.wikipedia.org/wiki/ Limit comparison test|Limit comparison]
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| * [http://en.wikipedia.org/wiki/ Alternating series test|Alternating series]
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| * [http://en.wikipedia.org/wiki/ Cauchy condensation test|Cauchy condensation]
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| * [http://en.wikipedia.org/wiki/ Dirichlet's test|Dirichlet]
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| * [http://en.wikipedia.org/wiki/ Abel's test|Abel]
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| | |
| | list5name = Vector
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| | list5title = [http://en.wikipedia.org/wiki/ Vector calculus]
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| | list5 =
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| * [http://en.wikipedia.org/wiki/ Gradient]
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| * [http://en.wikipedia.org/wiki/ Divergence]
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| * [http://en.wikipedia.org/wiki/ Curl (mathematics)|Curl]
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| * [http://en.wikipedia.org/wiki/ Laplace operator|Laplacian]
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| * [http://en.wikipedia.org/wiki/ Gradient theorem]
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| * [http://en.wikipedia.org/wiki/ Green's theorem]
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| * [http://en.wikipedia.org/wiki/ Stokes' theorem]
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| * [http://en.wikipedia.org/wiki/ Divergence theorem]
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| * [http://en.wikipedia.org/wiki/ Directional derivative]
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| | |
| | list6name = Multivariable
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| | list6title = [http://en.wikipedia.org/wiki/ Multivariable calculus] | |
| | list6 =
| |
| ; Formalisms:
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| * [http://en.wikipedia.org/wiki/ Matrix calculus|Matrix]
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| * [http://en.wikipedia.org/wiki/ Tensor calculus|Tensor]
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| * [http://en.wikipedia.org/wiki/ Exterior derivative|Exterior]
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| * [http://en.wikipedia.org/wiki/ Geometric calculus|Geometric]
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| ; Definitions:
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| * [http://en.wikipedia.org/wiki/ Partial derivative]
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| * [http://en.wikipedia.org/wiki/ Multiple integral]
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| * [http://en.wikipedia.org/wiki/ Line integral]
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| * [http://en.wikipedia.org/wiki/ Surface integral]
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| * [http://en.wikipedia.org/wiki/ Volume integral]
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| * [http://en.wikipedia.org/wiki/ Jacobian matrix and determinant|Jacobian]
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| | |
| | list7name = Specialized
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| | list7title = Specialized calculi
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| | list7 =
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| * [http://en.wikipedia.org/wiki/ Calculus of variations]
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| * [http://en.wikipedia.org/wiki/ Fractional calculus|Fractional]
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| * [http://en.wikipedia.org/wiki/ Malliavin calculus|Malliavin]
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| * [http://en.wikipedia.org/wiki/ Stochastic calculus|Stochastic]
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| }}<noinclude>{{documentation}}</noinclude>
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