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# Calculus Definitions

Browse our growing collection of calculus definitions:

#### ARC

ARC an abbreviation of average rate of change is the change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y…

#### Algorithm

An algorithm is a specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at …

#### Alternating Series

An alternating series is a series which alternates between positive and negative terms.

#### Annulus

A annulus or washer is the region between two concentric circles which have different radii. The area of a annulus = π (R^{2} − r^{2})

#### Average Rate of Change

Average rate of change or ARC is the change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value (Δy)…

#### Delta (Δ, δ)

Delta (Δ, δ) is the fourth letter of the Greek alphabet. In the system of Greek numerals it has a value of 4.

#### Epsilon (Ε, ε)

Epsilon (Ε, ε) or lunate ϵ or Greek: έψιλον, is the fifth letter of the Greek alphabet, corresponding phonetically to a mid front unrounded vowel /e/. In the s…

#### Fixed

Fixed means that the object is regarded as fixed in the plane so that it may not be picked up and flipped if referring to a planar object. As a result, mirror …

#### Greek Alphabet

The Greek alphabet has been used to write the Greek language since the late ninth or early eighth century BC. It is derived from the earlier Phoenician alphabe…

#### Integration

Integration is the process of computing or obtaining an integral, either a definite integral or an indefinite integral. A more archaic term for integration is …

#### Jump Discontinuity

A jump discontinuity or step discontinuity is a discontinuity where the graph steps or jumps from one connected piece of the graph to another. It is a disconti…

#### Sigma (Σ, σ)

Sigma (Σ, σ) is the eighteenth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 200. In general mathematics, uppercase Σ i…

#### Step Discontinuity

A step discontinuity or jump discontinuity is a discontinuity where the graph steps or jumps from one connected piece of the graph to another.

#### Theorem of Pappus

The theorem of Pappus or Pappus's theorem generally refer to several different theorems. They include Pappus's centroid theorem, the Pappus chain, Pa…

#### U-Substitution

U-Substitution also known as integration by substitution, or substitution method, is an integration method for evaluating integrals. Direct application of the …

#### Vector Calculus

Vector calculus or vector analysis is the use of calculus (limits, derivatives, and integrals) with two or more independent variables, or two or more dependent…

#### Velocity

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

#### Volume

Volume is the total amount of space enclosed or occupied in a solid. Volume generally has units of length and distance cubed (such as cm^{3}, in^{3}, m^{3} km^{3}, etc.)

#### Washer

A washer or annulus is the region between two concentric circles which have different radii. The area of a washer = π (R^{2} − r^{2})

#### Work

In physics, work is the product of force and displacement. A force is said to do work if, when acting, there is a displacement of the point of application in t…