Calculus How To

Calculus Definitions

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

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

Unit Sphere / Hypersphere

V

Vector Calculus: Definition
Vector Function
Vertex
Vertical Asymptote
Vertical Line Test
Vertical Tangent
Volume

W

Well Posed and Ill Posed Problems
Work

X

X-Intercept

Y

Y-Intercept

Z

Zeros of a Function (Roots)
Zero vector.

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