Category:Calculus

Calculus is a branch of mathematics, developed from algebra and geometry. Calculus focuses on rates of change (within functions), such as accelerations, curves, and slopes. The development of calculus is credited to Archimedes, Leibniz and Newton; lesser credit is given to Barrow, Descartes, de Fermat, Huygens, and Wallis. Fundamental to calculus are derivatives, integrals, and limits.

Subcategories

There are 4 subcategories to this category.

M

• Multivariate calculus

R

• Real analysis

S

• Sequences and series

T

• Trigonometry

Articles in category "Calculus"

There are 93 articles in this category.

Calculus A Alternating series Ambient calculus Antiderivative Arbitrary constant of integration Automatic differentiation B Binary logarithm Binomial series Bohr-Mollerup theorem C Calculus with polynomials Chain rule Complex analysis Concavity Constant factor rule in differentiation Constant factor rule in integration Continuous function D Derivative Derivative of a constant Differentiation under the integral sign Dirichlet integral Disk integration E Euler approximation Extreme value Extreme value theorem F Functional integration Fundamental theorem of calculus H Henstock-Kurzweil integral History of calculus How Archimedes used infinitesimals I Implicit function Infinitesimal

I cont. Infinitesimal calculus Integral Integral test for convergence Integration by parts Intermediate value theorem Inverse functions and differentiation L L'Hôpital's rule Lebesgue integration Leibniz notation Leibniz rule (generalized product rule) Leibniz's rule (derivatives and integrals) Limit (mathematics) Limit of a function Linear approximation Linearity of differentiation Linearity of integration Linearization List of mathematical functions Lists of integrals Logarithmic derivative M Maxima and minima Mean value theorem Monotone convergence theorem Multiscale calculus Multivariate calculus N Nonelementary integral Numerical differentiation O Ordinary differential equation P Piecewise Power series Product rule Proof of Leibniz formula

P cont. Proof of Viète formula Q Quadratic integral Quasi-continuous function Quotient rule R Radius of convergence Rectangle method Related rates Riemann integral Riemann sum Riemann-Stieltjes integral Rolle's theorem Root test S Second derivative test Series (mathematics) Shell integration Solid of revolution Stationary point Stieltjes integral Substitution rule Sum rule in differentiation Sum rule in integration Surface of revolution T Table of derivatives Table of integrals Table of limits Taylor's theorem Time scale calculus Trigonometric substitution U Uniform convergence V Vector (spatial)