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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 =
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| ; 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 | |
| | 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 = | |
| * [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]]
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| | list6 =
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| ; 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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