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Template
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Calculus topics
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From Wikipedia, the free encyclopedia
v
t
e
Calculus
Precalculus
Binomial theorem
Concave function
Continuous function
Factorial
Finite difference
Free variables and bound variables
Graph of a function
Linear function
Radian
Rolle's theorem
Secant
Slope
Tangent
Limits
Indeterminate form
Limit of a function
One-sided limit
Limit of a sequence
Order of approximation
(ε, δ)-definition of limit
Differential calculus
Derivative
Second derivative
Partial derivative
Differential
Differential operator
Mean value theorem
Notation
Leibniz's notation
Newton's notation
Rules of differentiation
linearity
Power
Sum
Chain
L'Hôpital's
Product
General Leibniz's rule
Quotient
Other techniques
Implicit differentiation
Inverse functions and differentiation
Logarithmic derivative
Related rates
Stationary points
First derivative test
Second derivative test
Extreme value theorem
Maximum and minimum
Further applications
Newton's method
Taylor's theorem
Differential equation
Ordinary differential equation
Partial differential equation
Stochastic differential equation
Integral calculus
Antiderivative
Arc length
Riemann integral
Basic properties
Constant of integration
Fundamental theorem of calculus
Differentiating under the integral sign
Integration by parts
Integration by substitution
trigonometric
Euler
Tangent half-angle substitution
Partial fractions in integration
Quadratic integral
Trapezoidal rule
Volumes
Washer method
Shell method
Integral equation
Integro-differential equation
Vector calculus
Derivatives
Curl
Directional derivative
Divergence
Gradient
Laplacian
Basic theorems
Line integrals
Green's
Stokes'
Gauss'
Multivariable calculus
Divergence theorem
Geometric
Hessian matrix
Jacobian matrix and determinant
Lagrange multiplier
Line integral
Matrix
Multiple integral
Partial derivative
Surface integral
Volume integral
Advanced topics
Differential forms
Exterior derivative
Generalized Stokes' theorem
Tensor calculus
Sequences and series
Arithmetico-geometric sequence
Types of series
Alternating
Binomial
Fourier
Geometric
Harmonic
Infinite
Power
Maclaurin
Taylor
Telescoping
Tests of convergence
Abel's
Alternating series
Cauchy condensation
Direct comparison
Dirichlet's
Integral
Limit comparison
Ratio
Root
Term
Special functions
and numbers
Bernoulli numbers
e (mathematical constant)
Exponential function
Natural logarithm
Stirling's approximation
History of calculus
Adequality
Brook Taylor
Colin Maclaurin
Generality of algebra
Gottfried Wilhelm Leibniz
Infinitesimal
Infinitesimal calculus
Isaac Newton
Fluxion
Law of Continuity
Leonhard Euler
Method of Fluxions
The Method of Mechanical Theorems
Lists
Integrals
rational functions
irrational algebraic functions
exponential functions
logarithmic functions
hyperbolic functions
inverse
trigonometric functions
inverse
Secant
Secant cubed
List of limits
List of derivatives
Miscellaneous topics
Complex calculus
Contour integral
Differential geometry
Manifold
Curvature
of curves
of surfaces
Tensor
Euler–Maclaurin formula
Gabriel's horn
Integration Bee
Proof that 22/7 exceeds π
Regiomontanus' angle maximization problem
Steinmetz solid
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