Template:Calculus

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| title = Calculus

| image = $\backslash int\_\{a\}^\{b\}\; f\text{'}(t)\; \backslash ,\; dt\; =\; f(b)\; -\; f(a)$

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| above =

• Fundamental theorem

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• Limits
• Continuity

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• Rolle's theorem
• Mean value theorem
• Inverse function theorem

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| list2name = differential

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| list2title = {{bigger|Differential}}

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|contentclass=hlist

| heading1 = Definitions

| content1 =

• Derivative (generalizations)
• Differential
• infinitesimal
• of a function
• total

| heading2 = Concepts

| content2 =

• Differentiation notation
• Second derivative
• Implicit differentiation
• Logarithmic differentiation
• Related rates
• Taylor's theorem

| heading3 = Rules and identities

| content3 =

• Sum
• Product
• Chain
• Power
• Quotient
• L'Hôpital's rule
• Inverse
• General Leibniz
• Faà di Bruno's formula
• Reynolds

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| list3name = integral

| list3title = {{bigger|Integral calculus-->}}

| list3 ={{#invoke:sidebar|sidebar|child=yes

|contentclass=hlist

| content1 =

• Lists of integrals
• Integral transform
• Leibniz integral rule

| heading2 = Definitions

| content2 =

• Antiderivative
• Integral (improper)
• Riemann integral
• Lebesgue integration
• Contour integration
• Integral of inverse functions

| heading3 = Integration by

| content3 =

• 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

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| list4name = series

| list4title = {{bigger|Series}}

| list4 ={{#invoke:sidebar|sidebar|child=yes

|contentclass=hlist

| content1 =

• Geometric (arithmetico-geometric)
• Harmonic
• Alternating
• Power
• Binomial
• Taylor

| heading2 = Convergence tests

| content2 =

• Summand limit (term test)
• Ratio
• Root
• Integral
• Direct comparison
• 
  Limit comparison
• Alternating series
• Cauchy condensation
• Dirichlet
• Abel

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| list5name = vector

| list5title = {{bigger|Vector}}

| list5 ={{#invoke:sidebar|sidebar|child=yes

|contentclass=hlist

| content1 =

• Gradient
• Divergence
• Curl
• Laplacian
• Directional derivative
• Identities

| heading2 = Theorems

| content2 =

• Gradient
• Green's
• Stokes'
• Divergence
• Generalized Stokes
• Helmholtz decomposition

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| list6name = multivariable

| list6title = {{bigger|Multivariable}}

| list6 ={{#invoke:sidebar|sidebar|child=yes

|contentclass=hlist

| heading1 = Formalisms

| content1 =

• Matrix
• Tensor
• Exterior
• Geometric

| heading2 = Definitions

| content2 =

• Partial derivative
• Multiple integral
• Line integral
• Surface integral
• Volume integral
• Jacobian
• Hessian

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| list7name = advanced

| list7title = {{bigger|Advanced}}

| list7 ={{#invoke:sidebar|sidebar|child=yes

|contentclass=hlist

| content1 =

• Calculus on Euclidean space
• Generalized functions
• Limit of distributions

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| list8name = specialized

| list8title = {{bigger|Specialized}}

| list8 =

• Fractional
• Malliavin
• Stochastic
• Variations

| list9name = miscellanea

| list9title = {{bigger|Miscellanea}}

| list9 =

• Precalculus
• History
• Glossary
• List of topics
• Integration Bee
• Mathematical analysis
• Nonstandard analysis

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