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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
- Accumulation Point: Definition, Examples
- Alternating Harmonic Series
- Alternating Series Test
- Alternating Series Remainder
- Amplitude of a Function: Definition, Formula, Example
- Anisotropic
- Annulus
- Ansatz
- Arc Length Formula
- 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)
- Boundary Point
- Bounded Function
- Bounded Interval
C
- Calculus of Variations: Simple Definition
- Cartesian Form
- Cartesian Plane
- Cavalieri’s Principle
- Centroid
- Chain Rule
- Chebyshev’s Sum Inequality
- Circle of Convergence
- Closed Form Solution
- Closed Interval
- Closed Surface
- 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, Data
- Converge
- Convergence of Random Variables
- Cost Function
- Critical Numbers
- Cubature
- Cubic Function
- Cumulant Generating Function
- Curly d
- Curvilinear
- Cylindrical Coordinates
- Cylindrical Shell Formula
- Cusps and corners in graphs.
D
- Damped Sine Wave
- Darboux’s Theorem
- Decimal Expansion: Definition, Examples
- Del Operator (Nabla operator)
- Delta x / Delta y: Definition, Examples
- Definite Integral
- Deleted Neighborhood
- Dependent Variable
- Difference Quotient
- Differentiable
- Differential Approximation
- Differential Forms
- Differential Operator
- Differentiate Definition (“Take the Derivative”)
- Discontinuous Function
- Divergence Theorem: Definition, Examples
- Divergent Series
- Domain of a function
- Double Integral
- DX: What does dx mean in calculus?
E
- Einstein Summation (Notation)
- Ellipsoid
- Elliptic Integral
- Empirical Rule & Research
- End Behavior
- Endpoint
- Epsilon
- Essential Discontinuity
- Euclidean Space
- Euler’s Number (e)
- Even and Odd Functions
- Explicit Function
- Exponential Models, Decay & Growth
- Exponential Function
- Exterior Calculus
- External Secant Segment: Example, Proof
- Explicit Solution
- Extrema of a Function
- Extreme Values of a Polynomial / Extreme Value Theorem
F
- Falling Power: Definition
- 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
- Functional / Higher-Order Functions
G
- Gamma Function, Multivariate Gamma Function
- 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
- Horizontal Tangent Line
- Hyperfactorial
I
- Identity Function
- Ill-conditioned
- Imaginary Numbers
- Implicit Differentiation
- Independent Variable
- Index Calculus
- Integral Function
- Integral Transform: Overview & Definition
- Interval Domain
- Index Number
- Inscribed Rectangle & Circumscribed Rectangle
- 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
- Inverse Functions
- Intermediate Value Theorem
- Intermediate Variable
- Is Infinity a Number?
- Isometry
J
K
L
- Lagrange Interpolating Polynomial
- Lambda Calculus
- Least Upper Bound (Supremum)
- Leminiscate
- Liebniz Notation
- Limiting Process
- Line Segment, Equivalent
- Linear Equation
- Linear Operator
- 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 One
- Map (Mathematics)
- Mean Value Theorem
- Midpoint Rule
- Min-Max Theorem
- Mode
- Modulo Function
- Modulus of Continuity
- Moment
- Monomial Function
- Monotonic Sequence, Series, Function
- 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
- Plane Region: Definition, Finding Area: Type I & II
- Polar Coordinates
- Polynomial Functions
- Position Function
- Power Rule
- Prime Notation in Differentiation
- Product Notation (Pi Notation)
- Product Rule
- Profit Function
- Propositional Calculus
- Projectile Motion
- Pseudodifferential Operators
- Punctured Disk
Q
- Quadratic Approximation
- Quadratic Formula / Equation
- Quadratic Term: Definition, Examples
- Quotient Rule
R
- Radian
- Radical Function
- Range of a Function
- Ratio Test
- Rational Function
- Real Analysis
- Real Numbers
- Rectifiable Curve
- Relatively Prime (Coprime, Mutually Prime)
- Removable Discontinuity
- Restrictions of a Function: Definition, Examples
- Revenue Function
- Ricci Calculus & Notation
- Riemann Sums
- Rolle’s Theorem
- RTH Moment of a Distribution
S
- Saddle Point
- Scalar Function, Field
- Secant Method
- 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
- Smooth Curve: Definitions
- Spherical Coordinates
- Standard Form
- Stationary Point
- Step Discontinuity
- Step Function
- Stirling Series
- Stochastic Calculus: Overview
- Subfactorial
- Sufficiently Large
- Summation Notation
- Surface of Revolution
- Surjective Function
- Symmetric Polynomial
T
- Tangent Line Tangent Space
- Taylor’s Inequality
- Taylor Series
- Tensor Definition
- Tetration Function
- Theorem of Pappus
- Topological Space
- Torus
- Transfinite Numbers
- Transformations
- Trapezoid Rule
U
V
- Vector Calculus: Definition
- Vector Function
- Vertex
- Vertical Asymptote
- Vertical Line Test
- Vertical Tangent
- Volume
W
X
Y
Z
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Stephanie Glen. "Calculus Definitions" From CalculusHowTo.com: Calculus for the rest of us! https://www.calculushowto.com/calculus-definitions/
------------------------------------------------------------------------------Stephanie Glen. "Calculus Definitions" From CalculusHowTo.com: Calculus for the rest of us! https://www.calculushowto.com/calculus-definitions/
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