Glossary of calculus
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This glossary of calculus is a list of definitions about calculus, its sub-disciplines, and related fields.
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A
- Abel's test - a method of testing for the convergence of an infinite series.
- Absolute convergence
- Absolute maximum
- Absolute minimum
- Absolute value
- Alternating series - an infinite series whose terms alternate between positive and negative.
- Alternating series test
- Annulus - a ring-shaped object, a region bounded by two concentric circles.
- Antiderivative
- Arcsin
- Area under a curve
- Asymptote
- Automatic differentiation
- Average rate of change
B
- Binomial coefficient
- Binomial theorem (or binomial expansion) - describes the algebraic expansion of powers of a binomial.
- Bounded function
- Bounded sequence
C
D
- Damped sine wave
- Degree of a polynomial
- Derivative
- Derivative test
- Dirichlet's test
- Differentiable function
- Differential
- Differential (infinitesimal)
- Differential equation
- Differential operator
- Differential of a function
- Differentiation
- Differentiation rules
- Direct comparison test - a convergence test in which an infinite series or an improper integral is compared to one with known convergence properties.
- Disc integration
- Divergent series
- Discontinuity
- Dot product
- Double integral
E
F
G
H
I
- Identity function
- Imaginary number
- Implicit function
- Improper fraction
- Improper integral
- Inflection point - a point at which a plane curve's concavity changes.
- Instantaneous rate of change
- Instantaneous velocity
- Integral
- Integral symbol
- Integrand - the function to be integrated in an integral.
- Integration by parts
- Integration by substitution
- Intermediate value theorem
- Inverse trigonometric functions
J
K
L
M
N
O
P
- Pappus's centroid theorem
- Parabola
- Paraboloid
- Partial derivative
- Partial differential equation
- Partial fraction decomposition
- Particular solution
- Piecewise-defined function - a function defined by multiple sub-functions that apply to certain intervals of the function's domain.
- Position vector
- Power rule
- Product integral
- Product rule
- Proper fraction
- Proper rational function
- Pythagorean theorem
- Pythagorean trigonometric identity
Q
- Quadratic function
- Quadratic polynomial
- Quotient rule - a formula for finding the derivative of a function that is the ratio of two functions.
R
S
- Scalar
- Secant line
- Second-degree polynomial
- Second derivative
- Second derivative test
- Second-order differential equation
- Series
- Shell integration
- Simpson's rule
- Sine
- Sine wave
- Slope field
- Squeeze theorem
- Sum rule in differentiation
- Sum rule in integration
- Summation
- Supplementary angle
- Surface area
- System of linear equations
T
U
V
W
Y
Z
See also
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