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