This is a **list of calculus topics**.

## Limits

- Limit (mathematics)
- Limit of a function
- Limit of a sequence
- Indeterminate form
- Orders of approximation
- (ε, δ)-definition of limit
- Continuous function

## Differential calculus

- Derivative
- Notation
- Simplest rules
- Chain rule
- Local linearization
- Product rule
- Quotient rule
- Inverse functions and differentiation
- Implicit differentiation
- Stationary point
- Differential equation
- Differential operator
- Newton's method
- Taylor's theorem
- L'Hôpital's rule
- General Leibniz rule
- Mean value theorem
- Logarithmic derivative
- Differential (calculus)
- Related rates
- Regiomontanus' angle maximization problem

## Integral calculus

- Antiderivative/Indefinite integral
- Simplest rules
- Arbitrary constant of integration
- Cavalieri's quadrature formula
- Fundamental theorem of calculus
- Integration by parts
- Inverse chain rule method
- Integration by substitution

- Differentiation under the integral sign
- Trigonometric substitution
- Partial fractions in integration
- Proof that 22/7 exceeds π
- Trapezium rule
- Integral of the secant function
- Integral of secant cubed
- Arclength
- Solid of revolution
- Shell integration

## Special functions and numbers

- Natural logarithm
- e (mathematical constant)
- Exponential function
- Hyperbolic angle
- Hyperbolic function
- Stirling's approximation
- Bernoulli numbers

## absolute numerical

*See also list of numerical analysis topics*

## Lists and tables

- Table of common limits
- Table of derivatives
- Table of integrals
- Table of mathematical symbols
- List of integrals
- List of integrals of rational functions
- List of integrals of irrational functions
- List of integrals of trigonometric functions
- List of integrals of inverse trigonometric functions
- List of integrals of hyperbolic functions
- List of integrals of exponential functions
- List of integrals of logarithmic functions
- List of integrals of area functions

## Multivariable

- Partial derivative
- Disk integration
- Gabriel's horn
- Jacobian matrix
- Hessian matrix
- Curvature
- Green's theorem
- Divergence theorem
- Stokes' theorem

## Series

## History

- Adequality
- Infinitesimal
- Gottfried Leibniz
- Isaac Newton
*Method of Fluxions*- Infinitesimal calculus
- Brook Taylor
- Colin Maclaurin
- Leonhard Euler
- Gauss
- Joseph Fourier
- Law of continuity
- History of calculus
- Generality of algebra

## Nonstandard calculus

*Elementary Calculus: An Infinitesimal Approach*- Nonstandard calculus
- Infinitesimal
- Archimedes' use of infinitesimals

For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics.