**Confused about a term in calculus?** Check out our explanations for calculus terms. Calculus definitions in simple English! Many of the calculus definitions you’ll find here include videos, graphs and charts to make the explanations easier to understand.

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## Calculus Definitions in Alphabetical Order

**Click on a term to go to an article and full definition:**

Jump to A B C D E F G H I J K L M N O P Q R S T U V W Y-Z

## A

Abel’s Test

Absolute Minimum

Absolutely Convergent

Absolute Value Function

Acceleration

Alternating Harmonic Series

Alternating Series Test

Alternating Series Remainder

Anisotropic

Annulus

Ansatz

Arcsin

Asymptote

Automatic Differentiation

Axis of Rotation

## B

Base Number

Bessel Function

Big O Notation (Landau’s Symbol)

Bijective Function

Bisection Method

Bolzano’s Theorem (Intermediate Zero Theorem)

Bounded Function

## C

Cartesian Form

Cartesian Plane

Cavalieri’s Principle

Centroid

Chain Rule

Chebyshev Polynomials: Simple Definition

Chebyshev’s Sum Inequality

Closed Form Solution

Closed Interval

Codomain

Coefficients

Cofunction

Collider Variable

Common Ratio & Common Difference

Complex Numbers / Plane

Composite Function

Concave Up and Down

Constant Acceleration

Constant of Integration

Constant Term

Continued Sum

Conditional Convergence

Continuous Function

Converge

Cost Function

Critical Numbers

Cubic Function

Cumulant Generating Function: Definition, Examples

Curly d

Curvilinear

Cylindrical Shell Formula

## D

Damped Sine Wave

Del Operator (Nabla operator)

Definite Integral

Deleted Neighborhood

Dependent Variable

Difference Quotient

Differentiable

Differential Approximation

Differential Forms

Differential Operator

Differentiate Definition (“Take the Derivative”)

Discontinuous Function

Divergent Series

Domain of a function

Double Integral

## E

Ellipsoid

Elliptic Integral

Empirical Rule & Research

End Behavior

Endpoint

Epsilon (Calculus)

Essential Discontinuity

Euclidean Space

Euler’s Number (e)

Even and Odd Functions

Explicit Function

Exponential Decay: Simple Definition, Example Problems

Exponential Function

Exponential Growth

Exterior Calculus

Explicit Solution

Exponential Model: Simple Definition, Examples

Extrema of a Function

Extreme Values of a Polynomial

Extreme Values Theorem

## F

Family of Functions

Fibonacci Sequence

Finite and Infinite Sets

Finite Calculus (Calculus of Finite Differences)

First Derivative Test

Fluxion

Frustrum

Fourier Analysis

Fourth Derivative

Fractional Calculus

Function

## G

Gamma Function, Multivariate Gamma Function: Definition, Properties

Gaussian Distribution, Gaussian Quadrature

General Solution (Diffeq)

Geometric Series

Global Minimum

Global Maximum

Golden Spiral

Gradient

## H

Half Closed Interval (Half Open)

Harmonic Mean & Harmonic Progression

Hermite Polynomials

Holomorphic Function

Horizontal Asymptote

Hyperfactorial

## I

Identity Function

Ill-conditioned

Imaginary Numbers

Implicit Differentiation

Independent Variable

Index Calculus

Indeterminate Expression

Infinitesimal

Inflection Point

Initial Value / Condition

Injective Function

Inner Function

Instantaneous acceleration

Instantaneous Velocity

Integer & Non Integer

Integral Bounds

Integral Kernel (Symbol)

Integrand

Interval of Convergence

Interval Scale & Interval Variable

Inverse Functions

Intermediate Value Theorem

Intermediate Variable

Is Infinity a Number

Isometry

## J

Jensens Inequality

Jounce

Jump Discontinuity

## K

Kepler’s Laws

Kernel Density Estimation: Definition

## L

Lagrange Interpolating Polynomial

Lambda Calculus

Least Upper Bound (Supremum)

Liebniz Notation

Limit of Product Quotient

Line Segment: Simple Definition, Examples, Equivalent

Linear Equation

Linear Operator: Simple Definition, Examples

Linear Term

Local Behavior

Local Maximum

Local Minimum

Logistic Growth

Lower Bound, Greatest Lower Bound (GLB) — Infimum

Linearization & Linear Approximation

Linearity of Differentiation

Linearly Independent Solutions

Logarithm

## M

MacLaurin Series

Manifold

Many to OneMean Value Theorem

Midpoint Rule

Min-Max Theorem

Mode

Modulo Function

Monomial Function

Monotonic Functions

Monotonic Series

Multiplicative Calculus

Multivariate

## N

Natural Exponential Function

Neighborhood

Newton Notation

Non empty set

Nonstandard Calculus

Non-Newtonian Calculus

n-tuple

Numerical Integration

Normal Line

Normal Order

nth Degree Taylor Polynomial

## O

Oblique Asymptote

One Sided Limit

Open Interval

Open Unit Disk

Ordinary Derivative

Ornstein-Uhlenbeck Process

Oscillating Series

## P

Parabola

Paraboloid

Parameterize a Function

Particular Solution (Diffeq)

Piecewise Function

Polar Coordinates

Polynomial Functions

Position Function

Power Rule

Prime Notation in Differentiation

Product Rule

Profit Function

Projectile Motion

Pseudodifferential Operators

Punctured Disk: Simple Definition

## Q

Quadratic Approximation

Quadratic Formula & Equation

Quotient Rule

## R

Radian

Radical Function

Range of a Function

Ratio Scale

Ratio Test

Rational Function

Real Analysis: Definition

Real Numbers

Relatively Prime (Coprime, Mutually Prime)

Removable Discontinuity

Revenue Function

Riemann Sums

Rolle’s Theorem

RTH Moment of a Distribution

## S

Saddle Point

Scalar Function, Field

Secant Method: Definition, Example

Second Derivative Test

Sequence

Sequence of Partial Sums

Shear Mapping

Sign Function

Simple Closed Curve

Simple Harmonic Motion

Simpson’s Rule

Single Variable Calculus

Slope / Slope Field

Spherical Coordinates

Stationary Point

Step Discontinuity

Step Function

Subfactorial

Summation Notation

Surface of Revolution

Surjective Function

Symmetric Polynomial

## T

Tangent Line

Tangent Space

Taylor Series

Tensor Definition

Tetration Function

Theorem of Pappus

Topological Space

Torus: Definition, Examples

Transfinite Numbers

Transformations

Trapezoid Rule

Topological Space

## U

## V

Vector Calculus: Definition

Vector Function

Vertex

Vertical Asymptote

Vertical Line Test

Vertical Tangent

Volume

## W

Well Posed and Ill Posed Problems

Work

## X

## Y

## Z

Zeros of a Function (Roots)

Zero vector.

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