A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
A
Absolute value– Absolutely convergent series — Acceleration — Acceleration vector Algebraic function — Alternating series — Altitude of a triangle — Angle measure — Angle between vectors — Angle bisector — Antiderivative — Approximate derivative — Archimedes’ principle — Arc length — Area function — Area of a circle — Area of a –parallelogram — Area of a surface — Arithmetic progression — Argument — Asymptotes — Average cost — Average rate of change — Average velocity
B
Bernoulli differential equation — Bézier curve — Binomial coefficient — Bounded interval
C
Cauchy’s mean value theorem — Cauchy test — Celsius — Ceiling — Centroid — Chain rule — Change of variable — Change order of integration — Circle — Circumcenter — Circumference — Closed interval — Comparison test — Complex argument — Complex number — Compound interest — Concave — Conditionally convergent series — Cone — Conic section — Conservative vector field — Continuous — Continuously compounded interest — Contour plot — Convergent series — Coordinates (cylindrical — polar — rectangular — spherical) Cost — Critical point — Cross product — Cross section method for volumes — Curl — Curtain — Curvature — Curve — Cylinder — Cylindrical coordinates — Cylindrical shell method
D
Decay — Decreasing function — Definite integral — Degree — Del — Dependent variable — Derivative ( definition — directional — notation — partial — rules — second — vector ) Determinant — Difference quotient — Differentiable function — Differential — Differential equation — Differential operators — Direction — Directional derivative — Disc method for volumes — Discontinuity — Discriminant — Distance between two points — Distance from a point to a line — Divergence theorem — Divergent series — Divided differences — Domain — Doppler effect — Dot product — Double integral (polar coordinates — rectangular coordinates) — Doubling time
E
e = 2.1828… — Ellipse — Ellipsoid — Equilateral triangle — Error bound — Essential discontinuity — euclidean norm — Euler’s method — Even function — Exact differential equation — Expected value — Exponential growth and decay
F
Factorial — Fahrenheit — Finite interval — Floor — Fluid pressure — Force — Formulas for functions — Fourier polynomials — Fractional part — Fresnel sine function — Frustum — Fubini’s theorem — Function (algebraic — continuous — decreasing — definition — differentiable — even — exponential — hyperbolic — inverse — implicit — increasing — logarithmic — odd — one-to-one — piecewise-defined — rational — transcendental trigonometric) — Fundamental theorem of calculus — Fundamental theorem for conservative fields
G
Gaussian quadrature — generalized power rule — Geometric series — Gradient definition — Gradient field — Graph — Gravitation — Greatest integer function — Green’s theorem — Growth models
H
Half-life — Half-open interval — Harmonic series — Heron’s formula — Higher derivatives — Homogeneous differential equation — Horizontal asymptote — Horizontal line test — Horizontal tangent line — Hydrostatic pressure — Hyperbola — Hyperbolic function — Hyperboloid — Hypotenuse
I
i = square root of -1 — Implicit functions — improper integral — Incenter — Income tax — Increasing function — independent variable — Indeterminate forms — Infinite series — Inflection point — Initial value problem — Iner product — Instantaneous rate of change — Instantaneous velocity — Integral (definite — double — iterated — line — Riemann sum — rules — tables — test) — Integrating factor — Integration methods (change of variable — partial fractions — parts — substitution — trig substitution) — Intercepts — Interest — Intermediate value theorem — Interpolating polynomials — Interval (bounded — of convergence — unbounded) — Inverse function — Irreducible quadratic polynomial — isosceles triangle — Iterated integrals
J
Joule — Jump discontinuity
K
Kepler’s laws — Kilogram — Kinetic energy
L
Lagrange form of the remainder — Lagrange interpolating polynomial — Law of cosines — Law of sines — Left-hand limit — Left sum — Leibniz notation — Length of a vector — Length of a curve — Level curve — Level surface — l’Hôpital’s rule — Limit definition — Limit rules — Line distance to a point — Line equation — Line integral — Linear differential equation — Linear function — Linearization — Local linearity — Local maximum — Logarithms — Logistic growth — Lower sum
M
Maclaurin polynomials — Maclaurin series — Magnitude — Marginal cost — Matrix addition — Matrix definition — Matrix determinant — Maximum — Mean value theorem — Median of a triangle — Meter — Middle sum — Minimum — Moment of inertia — Monotone convergence theorem — Monotone function — Monotone sequence — Motion — Multiple integrals
N
Net area — Neville’s polynomial interpolation algorithm — Newton (force — interpolating polynomial — iteration — cooling law of cooling — law of gravitation — method ) — e-Cotes formuas — Norm of a vector — Normal — Notation for vectors — Numerical integration (Gaussian quadrature — left sum — middle sum — Newton-Cotes formulas — right sum — Simpson’s rule — trapezoidal rule)
O
Odd funtion — One-to-one function — Order of integration — Open interval — Optimization — Operators — Orthocenter — Orthogonal — Osculating circle
P
Pappus theorem — Parabola — Paraboiloid — Parallelepiped — Parallelogram — Parametric — Partial derivative — Partial fractions — Partial sums — Parts — Pascal’s law — Pascal’s triangle — Periodic function — Perpendicular — Perpendicular bisector — Pi = 3.14159… — Piecewise-defined function — Piecewise-smooth curve — Pinching theorem — Pitch of a roof — Plane in space — Plane curve — Polar coordinates — Polynomial function — Polynomial interpolation — Population — Position function — Power rule — Power series — Power series tables — Pressure — Probability — Probability density function — Product (cross — dot — rule) — Profit — Projection — Profit — p-series — Pyramid — Pythagorean theorem
Q
Quadric surfaces — Quotient rule
R
Radian measure — Radius (of a circle — of convergence — of curvature — of gyration) — Random variable — rate of change — Ratio — Ratio test — Rational function — Reciprocal rule — rectangle — Rectangular coordinates — Recursive — Related rates — Relative maximum — Removable discontinuity — Revenue — Riemann sum — right-hand limit — Right sum — Rolle’s theorem — Rotations — Rules for derivatives — Rules for integrals — Rules for limits
S
Saddle point — Sample space — Sandwich theorem — Scalar multiple — Scalar projection — Scalar triple product — Secant line — Second derivative — Second derivative test — Separable differential equation — Separation of variables — Sequence — Sequence of partial sums — Series (absolutely convergent — alternating — comparison test — conditionally convergent — geometric — harmonic — infinite — interval of convergence — Maclaurin — p-series — power — radius of convergence — ratio test — Taylor) — shape of a graph — Shell method — sigmoidal function — Similar triangles — Simple closed curve — Simpson’s rule — Slope — Slope field — Smooth curve — Solid of revolution — Solution to a differential equation — Space curve — Speed — Spherical coordinates — spherical integration — Sphere — Spline — Square — Squeeze theorem — Standard unit vectors — Step function — Stokes’ theorem — Substitution — Sum rule — Surface (area — definition — level — parametric — quadric — of revolution) — Symmetric difference quotient
T
Table (of integrals — of power series — of trigonometric identities — of values) — Tangent (horizontal — lines — planes — vertical) — Taylor polynomials — Taylor’s theorem — Taylor series — Temperature — Temperature scales — Tests for extreme values — Tests for convergence of series (absolute convergence — alternating series — comparison — divergent series — inegral — limit comparison — p-series — ratio) —
Tetrahedron — Transcendental functions — Transformations — Translation of a graph — Trapezoidal ruleTriangle — Trigonometric functions — Trigonometric identities — Trigonometric polynomials — Trigonometric substitution) — Triple integral (in cylindrical coordinates — in rectangular coordinates — in spherical coordinates)
U
Unbounded interval — Units — Upper sum
V
Variable — Vector (arithmetic — crossproduct — definition — direction — dot product — inner product — magnitude — notation — projection — velocity) — Vector field — Velocity — Velocity vector — Velocity — Velocity vector — Vertex — Vertica line test — Vertical tangent — Volume (of a cone — by cross section — of a parallelepiped — by shell method — of revolution — of sphere — of a tetrahedron — by triple integration — under a surface)
W
Work
Work
X
x-coordinate — x-intercept
Y
y-coordinate — y-intercept
Z
z-coordinate