Index of First Year Calculus Terms 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  X   3 dimensional coordinates  absolutely convergent addition of power series algebra of vectors alternating series test angle between two planes angle between two vectors angle of inclination antiderivative arc length of a parametrically defined curve arc length of a polar curve arclength arcsin x area area between 2 curves area of a polar region average cost average value average velocity average velocity boundary point bounded Boyle's law and work center of mass Chain Rule chain rule (several variables) circles (parametric equations) circles in polar coordinates circumference on an ellipse closed region component form of a vector component of u perpendicular to v concave down concave up conditionally convergent conic sections in polar coordinates Constant Rule continuity continuity for a function of several variables continuity of the inverse function converges (series) converges to a limit cos limit cosh x cost cosx (derivative) critical number cross product cylinder cylindrical coordinates cylindrical shells method for volume definite integral derivative (limit definition) derivative of ex derivative of parametric equations derivative of the inverse function derivatives in polar coordinates derivatives of arctrigonometric functions difference quotient differentiable for a function of several variables differential equation differentials differentiation of power series direct comparison test directed line segment direction cosines directional derivative directrix disk method for volume distance between a point and a plane distance formula in 3D diverges diverges (series) division of power series domain of a function of several variables dot product of vectors e eccentricity elastic elasticity eliminating the parameter ellipsoid equilibrium equipotential lines error and differentials ex explicit function exponentials with other bases extrema Extreme Value Theorem Extreme Value Theorem First Derivative Test First Fundamental Theorem of Calculus fluid force on a submerged rectangular sheet fluid force on a vertical surface fluid pressure focus function of several variables functions (parametric equations) fundamental theorem of algebra geometric power series geometric series geometric series test gradient graphing with calculus harmonic series Hessian higher order partial derivative homogeneous differential equations Hook's law horizontal asymptote horizontal line test and Rolle's Theorem hyperbolic trigonometric functions hyperboloid of one sheet hyperboloid of two sheets implicit differentiation implicit differentiation (several variables) implicit function improper integrals inelastic infinity table inflection point instantaneous velocity integral test integrating involving inverse trigonometric functions integrating powers of sin and cos integrating powers of tan and sec integrating powers of trigonometric functions integration by parts integration of power series interior point Intermediate Value Theorem Intermediate Value Theorem intersections of parametrically defined curves interval of convergence inverse functions inverse hyperbolic derivatives inverse trigonometric functions isobars isotherms Kepler's laws Lagrange multipliers least squares regression line left Riemann sum length of a vector level curves L'Hopital's rule limit at infinity limit comparison test limit for a function of several variables limit of a sequence limit test limits (graphical) limits (tabular) limits using power series linear approximation lines (parametric equations) lines in 3D lines in polar coordinates ln x (properties) logarithm (definition) logarithms and integrals logarithms with other bases logistics equations logistics growth magnitude marginal marginal cost maximum maximum (relative) McLaurin polynomial McLaurin series Mean Value Theorem Mean Value Theorem For Integrals Midpoint Approximation midpoint approximation minimum minimum (relative) mixed angle formulas moment monotonicity Monte Carlo Method multiplication of power series natural logarithm (definition) Newton's method norm normal line normal vector to a plane nth partial sum -oid one sided limits open region optimization orthogonal other bases Pappus' Theorem paraboloid parallelepipeds parametric equation of a function parametric equations parametric equations of a circle parametric equations of a line partial derivative partial fractions partial sum parts (integration by parts) Pascal's principle percent error planes (equation) polar coordinates pounds Power Rule power series pressure (fluid) probability Product Rule profit projection of u onto v properties of addition and subtraction of vectors properties of ln x p-series test quadratic approximation quadric surface Quotient Rule radioactive decay radius of convergence ratio test rearrangement theorem Reimann sum Related Rates relative error relative extrema relative maximum relative maximum relative minimum relative minimum remainder theorem revenue Revenue equation right Riemann sum Rolle's Theorem root test scalar multiplication of vectors second derivative of parametric equations Second Derivative Test second derivative test for a function of two variables Second Fundamental Theorem of Calculus separable differential equations sequence series (definition) Simpson's Estimate Simpson's estimate Simpson's Estimate Simpson's Estimate (error) Simpson's estimate (error) Simpson's Estimate (error) sinh x sinx (derivative) sinx/x slugs spherical coordinates spring (work and Hook's law) squeeze theorem Squeeze Theorem subtraction of power series sum of vectors surface area of revolution surface area of revolution (parametric) surface area of revolution of a polar curve surface of revolution tangent line tangent line to a curve tangent plane tanh x Taylor polynomial Taylor series Taylor's remainder theorem telescoping series three dimensional coordinates torque total differential Trapezoidal Rule Trapezoidal Rule trigonometric substitution unit vector vector vertical asymptotes volume of revolution washer method for volume work work (vectors) work in emptying a tank work in lifting a chain work in sending a rocket into orbit work on a spring   Back to the Math Department Home Page
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