英漢名詞對照 Absolute convergence (絕對收斂) Absolute extreme values (絕對極值) Absolutely convergent series (絕對收斂級數) Absolute maximum and minimum (絕對極大與極小) Absolute Value (絕對值) Absolute value function (絕對值函數) Acceleration (加速度) Alternating series (交錯級數) Alternating Series Test (交錯級數試驗法) Analytic geometry (解析幾何) Anti derivative (反導數) Approximate integration (近似積分) Approximation (逼近法) By differentials (用微分逼近) Linear (線性逼近法) By Simpson′s Rule (Simpson 法則逼近法) By the Trapezoidal Rule (梯形法則逼近法) Arbitrary constant (任意常數) Archimedes′s spiral (阿基米德螺線) Arc length (弧長) Area (面積) under a curve (曲線下方之面積) between curves (曲線間之面積) in polar coordinates (極坐標表示之面積) of a sector of a circle (扇形之面積) of a surface of a revolution (旋轉曲面之面積) Asteroid (星形線) Asymptote (漸近線) horizontal (水平漸近線) of a hyperbola (雙曲線之漸進線)
oblique (斜漸進線) slant (斜漸進線) vertical (垂直漸進線) Average speed (平均速率) Average value (平均值) Average of a function (函數之平均值) Average velocity (平均速度) Axes, coordinate (坐標軸) Axes of ellipse (橢圓之軸) Binomial series (二項級數) Binomial theorem (二項式定理) Bounded sequence (有界數列) Branches of hyperbola (雙曲線之兩支) Calculus (微積分) invention of (微積分之發明) differential (微分學) integral (積分學) Cardioid (心臟線) Cartesian coordinates ( 笛 卡 兒 坐 標 ， 一 般 指 直 角 坐 標 (Rectangular coordinates)) Cartesian coordinates system (笛卡兒坐標) Catenary (懸鏈線) Cauchy-Schwarz Inequality (Cauchy-Schwarz 不等式) Cauchy's mean Value Theorem (Cauchy 均值定理) Center of gravity (重心) Center of mass (質心) Chain Rule (連鎖律) Change of variables (變數變換) Charge (電荷) Circle (圓) Circular cylinder (圓柱) Closed interval (封閉區間)
Coefficient (係數) Comparison Test (比較試驗法) Comparison tests for series (級數之比較試驗法) Completeness Axiom (完備公設) Components of a vector (向量之成分) Composition of functions (函數之合成) Compound interest (複利) Concavity (凹性) Conchoid (蚌線) Conditionally convergent series (條件收斂級數) Cone (圓錐) Conic section (圓錐曲線) directrix of (圓錐曲線的準線) eccentricity of (圓錐曲線的離心率) focus of (圓錐曲線的焦點) polar equation of (圓錐曲線的極方程式) Constant function (常數函數) Constant of integration (積分常數) Continuity : (連續性) at a point (在一點處之連續性) of a function (函數之連續性) on an interval (在區間上之連續性) from the left (左連續) from the right (右連續) Continuous function (連續函數) Convergence (收斂) absolute (絕對收斂) conditional (條件收斂) of an improper integral (瑕積分之收斂) interval of (收斂區間) radius of (收斂半徑) of a sequence (收斂數列) of a series (級數之收斂)
Convergent sequence (收斂數列) Convergent series (收斂級數) Coordinate(s) Cartesian (笛卡兒坐標) cylindrical (柱面坐標) polar (極坐標) rectangular (直角坐標) spherical (球面坐標) Coordinate axes (坐標軸) Coordinate planes (坐標平面) cosine function (餘弦函數) Critical point (臨界點) cubic function (三次函數) Curve (曲線) Cycloid (擺線) Cylinder (圓柱) Cylinder coordinates (圓柱坐標) Decreasing function (遞減函數) Decreasing sequence (遞減數列) Definite integral (定積分) Degree of a polynomial (多項式之次數) Density (密度) Dependent variable (因變數) Derivative (導數) of a composite function (複合函數之導數) of a constant function (常數函數之導數) directional (方向導數) domain of (導數之定義域) of exponential functions (指數函數之導數) as a function higher (高階導數) partial (偏導數) of a power function (冪函數之導數)
of a power series (羃級數之導數) of a product (積之導數) of a quotient (商之導數) as a rate of change (導數當作變率) right-hand (右導數) second (二階導數) as the slope of a tangent (導數看成切線之斜率) Determinant (行列式) Difference Law of limits (極限之差律) Difference Rule (差律) Differentiable function (可導函數) Differential (微分) Differential equation (微分方程) Partial (偏微分方程) Solution of (微分方程之解) Differentiation (求導法) implicit (隱求導法) partial (偏微分法) of a power series (羃級數之求導法) term by term (逐項求導法) Direction (方向) Directional derivatives (方向導數) Directrix (準線) Discontinuity (不連續性) Discontinuous function (不連續函數) Discriminant (判別式) Disk method (圓盤法) Displacement (位移) Distance: (距離) Between point and line (點與直線間之距離) Between point and plane (點與平面間之距離) Between points in space (空間點之距離) Distance formula (距離公式)
Divergence (癟散) Of an improper integral (ç‘•çŠ?ĺˆ†äš‹ç™źć•Ł) Of an infinite series (焥窎級數䚋癟散) Of a sequence (ć•¸ĺˆ—äš‹ç™źć•Ł) Test for (癟散䚋芌銗法) Divergent sequence (ç™źć•Łć•¸ĺˆ—) Divergent series (癟散級數) Domain of a function (函數䚋厚瞊ĺ&#x;&#x;) Dot product (éťžçŠ?) Double integral (äşŒé‡?çŠ?ĺˆ†) Change of variable in (äşŒé‡?çŠ?ĺˆ†äš‹čŽŠć•¸čŽŠć?›) Over general regions (čˇ¨é Žä¸€čˆŹĺ?€ĺ&#x;&#x;äš‹äşŒé‡?çŠ?ĺˆ†) In polar coordinates (漾ĺ??ć¨™äşŒé‡?çŠ?ĺˆ†) Properties of (äşŒé‡?çŠ?ĺˆ†äš‹ć€§čłŞ) Over rectangles (čˇ¨é Žç&#x;Šĺ˝˘äš‹äşŒé‡?çŠ?ĺˆ†) Eccentricity (é›˘ĺżƒçŽ‡) Electric charge (雝č?ˇ) Electric circuit (雝衯) Electric force field (é›ťĺŠ›ĺ ´) Elementary function (ĺˆ?ç‰ĺ‡˝ć•¸) Ellipse (ćŠ˘ĺœ“) Ellipsoid (ćŠ˘ĺœ“é?˘ă€ ćŠ˘ĺœ“éŤ”) Elliptic integral (ćŠ˘ĺœ“çŠ?ĺˆ†) Elliptic paraboloid (ćŠ˘ĺœ“ć‹‹ç‰Šé?˘) Energy (čƒ˝é‡?) Epicycloid (外擺硚) Epsilon-delta proof (đ?œ€ − δč‰ć˜Žćł•) Equation (斚程ĺź?) Equilateral hyperbola (ç‰é‚Šé›™ć›˛çˇš) Error estimate (čŞ¤ĺˇŽäź°č¨ˆ) Even function (ĺ śĺ‡˝ć•¸) Expected values (ćœ&#x;ćœ›ĺ€ź) Exponential decay (ćŒ‡ć•¸čĄ°é€€)
Exponential function (指數函數) Exponential growth (指數成長) Exponential, law of (指數律) Extrapolation (插補) Extreme value (極值) Extreme value theorem (極值定理) Factorial (階層) Falling body problems (落體問題) Family of functions (函數系) Field : (場) Conservative (守恆場) Electric (電場) Force (力場) Gradient (梯度) Gravitational (重力場) Scalar (純量場) Vector (向量場) Velocity (速度場) First derivative test (一階導數試驗法) For absolute extreme values First octant (第一掛線) Focus (焦點) Folium of Descartes (笛卡兒葉形線) Force (力) Force field (力場) Four leaved rose curve (四瓣玫瑰線) Fractions (分式) Frustum (平截頭體) Fubini′s Theorem (Fubini 定理) Function (函數) Fundamental theorem of calculus (微積分基本定理) Gamma function (Gamma 函數) Geometric mean (幾何均數)
Geometric series (幾何級數) Gradient (梯度) Gradient vector (梯度向量) Gradient vector field (梯度向量場) Graph (圖形) Growth rate (成長率) Half-angle formulas (半角公式) Half-life (半壽命) Half-open interval (半開區間) Harmonic-series (調和級數) Helix (螺旋線) Higher derivatives (高階導數) Hooke′s Law (虎克定律) Horizontal asymptote (水平漸近線) Horizontal line (水平線) Horizontal line test (水平線試驗法) Horizontal plane (水平平面) Hyperbola (雙曲線) Hyperbolic identitics (雙曲恆等式) Hyperbolic paraboloid (雙曲拋物面) Hyperboloid (雙曲面) Hypocycloid(內擺線) Image (像) Implicit differentiation (隱求導法) Implicit function (隱函數) Improper integral (瑕積分) Increasing / decreasing test (遞增或遞減試驗法) Increasing function (遞增函數) Increasing sequence (遞增數列) Increment (增量) Indefinite integral (不定積分) Independent variable (自變數) Indeterminate form (不定型)
Inequality (不等式) Inertia (慣性) Inertia law (慣性定律) Infinite interval (無窮區間) Infinite limit (無窮極限) Infinite sequence (無窮數列) Infinite series (無窮級數) Inflection point (反曲點) Initial condition (初期條件) Initial-value problem(初值問題) Instantaneous rate of change (瞬時變化率) Integer (整數) Integral (積分) Integral test (積分試驗法) Integrand (被積分式) Integration (積分) Intercepts (截距) Intermediate value theorem (介值定理) Interpolation (插補) Intersection of sets (交集) Interval (區間) Interval of convergence (收斂區間) Inverse function (反函數) Inverse hyperbolic function (反雙曲線函數) Inverse trigonometric function (反三角函數) Iterated integral (逐次積分) Jacobian (Jacobi 行列式) Joule (焦耳) Jump discontinuity (跳躍不連續性) Lamina (片層) Laplace equation (Laplace 方程式) Laplace transform (Laplace 變換) Law of conservation of energy (能量守恆定律)
Law of cosines (餘弦定律) Law of gravitation (萬有引力定律) Law of natural decay (自然衰退定律) Law of natural growth (自然成長定律) Laws of exponents (指數定律) Laws of logarithms (對數定律) Least squares method (最小平方法) Least upper bound (最小上界) Left-hand derivative (左導數) Left-hand limit (左極限) Leibniz notation (Leibniz 符號) Lemniscates (雙紐線) Length (長度) Level curve (等位曲線) L′ Hospital′s Rule (L′ Hospital 法則) Limacon (蚶線) Limit laws (極限定律) Limit laws for sequences (數列之極限定理) Limit (極限) Liner approximation (線性近似) Liner combination (線性組合) Liner equation (線性方程式) Liner function (線性函數) Linearity (線性) Linearization (線性化) Line in the plane (平面上之直線) Line in space (空間之直線) Local extremism (局部極值) Local maximum and minimum (局部極大值與極小值) Logarithm (對數) Common (常用對數) General (一般對數) Natural (自然對數)
Notation for (對數符號) Logarithmic function (對數函數) Maclaurin series (Maclaurin 級數) Magnitude of a vector (向量大小) Major axis of ellipse (橢圓之長軸) Mass (質量) Mathematical induction (數學歸納法) Mathematical model (數學模型) Maximum and minimum values (極大與極小值) Mean value theorem (均值定理) Method of least squares (最小平分法) Minor axis of ellipse (橢圓之短軸) Modeling (模式建立) Model, mathematical (數學模型) Modulus (模數) Moment (力矩) Momentum of an particles (質點的動量) Monotonic sequence (單調數列) Motion in space (空間中之運動) Multiple integrals (重積分) Multiplication of power series (羃級數之乘法) Multiplier (承子) Natural exponential function (自然指數函數) Natural logarithm function (自然對數函數) Natural number (自然數) Negative angle (負角) Newton′s law of gravitation (牛頓萬有引力定律) Newton′s method (牛頓法) Normal distribution (常態分配) Normal line (法線) Normal vector (法向量) Number (數) Numerical integration (數值積分法)
Octant (掛限) Odd function (奇函數) One-sided limit (單邊極限) One-to-one function (一對一函數) One-to-one transformation (一對一變換) Open interval (開區間) Open region (開區域) Optimization problems (最佳化問題) Orbit (軌道) Order (階) Ordered pair (有序偶) Ordered triple (有序三元組) Ordinary differential equation (常微分方程) Origin (原點) Orthogonal (正交的) p-series (p 級數) parabola (拋物線) parabolic cylinder (拋物柱面) paraboloid (拋物面) parallelepiped (平行六面體) parallel (平行線) parallelogram law (平行四邊形法則) parallel planes (平行平面) parallel vectors (平行向量) parameter (參數) parametric curve (參數式曲線) parametric equations (參數方程式) partial derivative (偏導數) partial differential equation (偏微分方程) partial fractions (部分分式) partial fractions expansion (部分分式展開) partial fractions expansion method (部分分式展開式) partial integration (部分積分)
partial sum of a series (級數的部分和) partition (分割) parts, integration by (分部積分法) patterns in integrals (積分形式) percentage error (百分誤差) period (週期) periodic function (週期函數) permutation (排列) perpendicular lines (垂直線) perpendicular vectors (垂直向量) piecewise defined function (分段定義函數) piecewise-smooth curve (分段平滑曲線) plane (平面) point of inflection (反曲線) point-slope equation of a line (直線的點斜式) point-slope form (點斜式) polar axis (極軸) pole (極點) polynomial (多項式) position vector (位置向量) positive angle (正角) positive function (正函數) positive orientation (正方向) positive term series (正項級數) potential (位勢) potential energy (位能) potential function (位勢函數) pound (磅) power (羃) power function (羃函數) power rule (羃定律) power series (羃級數) principle of mathematical induction (數學歸納法原理)
principle of superposition (疊加定理) probability (機率) product (積) product formulas (積公式) product law of limit (極限積公式) product rule (積定律) projectile (拋射體) projection (射影) projection, orthogonal (正射影) p-series (p 級數) quadrant (象限) quadratic approximation (二次逼近) quadratic equation (二次方程式) quadratic function (二次函數) quadric surface (二次曲面) quotient law of limits (極限的商定律) quotient rule (商定律) radian measure (弧度法) radioactive decay (放射性衰退) radius of convergence (收斂半徑) ramp function (斜坡函數) range of a function (函數的值域) rate of change (變化率) rational function (有理函數) rationalizing substitution (有理代換法) rational number (有理數) ration test (比值試驗法) real line (實線) real number (實數) rectangular coordinates (直角坐標) changing to cylindrical coordinates (直角坐標變換至柱面坐標) changing to polar coordinates (直角坐標變換至極坐標) changing to spherical coordinates (直角坐標變換至球面坐標)
rectangular coordinate system (直角坐標系) reduction formula (歸約公式) region (區域) relative maximum and minimum (相對極大值與極小值) remainder of the Taylor series (Taylor 級數的剩餘) removable discontinuity (可移去不連續性) representations of function (函數的表示法) resultant force (合力) reversing order of integration (調換積分順序) revolution, solid of (旋轉體) revolution, surface of (旋轉曲面) right circular cylinder (正圓柱) right-hand derivative (右導數) right-hand limit (右極限) right-hand rule (右手法則) Rolle′s Theorem (Roll 定理) Root function (根式函數) Root test (根式試驗法) Saddle point (鞍點) Sample point (樣本點) Scalar (純量) Scalar equation (純量方程式) Scalar field (純量場) Scalar multiple of a vector (向量的倍積) Scalar product (純量積) Scalar projection (純量射影) Scalar triple product (純量三重積) Secant function (正割函數) Secant line (割線) Second-degree equations (二次方程式) Second derivative (二階導數) Second derivative test (二階導數試驗法) Second-order differential equation (二階微分方程)
Second partial derivative (äşŒéšŽĺ ?導數) Sector (扇形) Sequence (ć•¸ĺˆ—) Series (級數) Set (集ĺ?ˆ) Shell method (ĺ‰?掟法) Shift of a function (函數的ä˝?秝) Sigma notation (珌č™&#x;đ?œŽ) Sign function (ćŁč˛ č™&#x;函數) Simple curve (簥喎曲硚) Simple harmonic motion (ç°ĄčŤ§é ‹ĺ‹•) Simpson′s rule (Simpson 法則) Sine function (ćŁĺźŚĺ‡˝ć•¸) Slant asymptote (ć–œćź¸čż‘çˇš) Slope (ć–œçŽ‡) Slope-intercept equation of a line (ç›´çˇšçš„ć–œćˆŞĺź?) Slope field (ć–œçŽ‡ĺ ´) Smooth curve (嚳村曲硚) Smooth function (嚳村函數) Smooth surface (嚳村曲é?˘) Solid (獋鍔) Solution curve (解曲硚) Space, three-dimensional (三çśçŠşé–“) Space curve (犺間曲硚) Speed (é€&#x;率) Sphere, equation of (ç?ƒçš„斚程ĺź?) Spherical coordinates (ç?ƒé?˘ĺ??標) Squeeze theorem (ĺ¤žć“ ĺŽšç?†) Staircase function (階梯函數) Step function (階梯函數) Strictly decreasing (ĺš´ć źé žć¸›) Strictly increasing (ĺš´ć źé žĺ˘ž) Sum (ĺ’Œ)
Sum law of limits (極限的和定律) Summation notation (和符號) Sum rule (和定律) Surface (曲面) Surface of revolution (旋轉曲面) Symmetry (對稱) Tables (表) Tangent function (正切函數) Tangent line (切線) Tangent plane (切平面) Tangent vector (切向量) Taylor polynomial (Taylor 多項式) Taylor series (Taylor 級數) Techniques of integration (積分技巧) Telescoping series (疊縮級數) Telescoping sum (疊縮和) Term of a sequence (數列之項) Term of a series (級數之項) Term-by-term differentiation and integration (逐項微分與積分法) Test for convergence and divergence of series (級數之收斂與發散之試驗法) Alternating series test (交錯級數試驗法) Comparison test (比較試驗法) Integral test (試驗法) Limit comparison test (極限比較試驗法) Ratio test (比值試驗法) Root test (根式試驗法) Test for divergence (發散試驗法) Tetrahedron (四面體) Third derivative (三階導數) Three-dimensional coordinate systems (三維坐標系) Torque (力矩) Total differential (全微分) Trajectory (軌蹟)
Transcendental function (超越函數) Transformation (變換) Translation of a function (函數的平移) Trapezoidal rule (梯形法則) Triangle inequality (三角不等式) Trigonometric function (三角函數) Trigonometric identities (三角恆等式) Trigonometric integrals (三角積分) Trigonometric substitutions (三角代換法) Tripe integrals (三重積分) Undetermined coefficients (未定係數) Union of sets (聯集) Unit normal vector (單位法向量) Unit tangent vector (單位切向量) Unit vector (單位向量) Value of function (函數值) Variable (變數) Dependent (因變數) Independent(自變數) Vector (向量) Vector equation of a line (直線的向量方程式) Vector equation of a plane (平面的向量方程式) Vertex of a parabola (拋物線之頂點) Vertical asymptote (垂直漸近線) Vertical line test (垂直線試驗法) Vertical tangent line (垂直切線) Vertices (頂點) Volume (體積) Weight (重量) Work (功) X-axis (x 軸) x-coordinate (x 坐標) x-intercept (x 截距)
y-coordinate (y 坐標) y-intercept (y 截距) z-axis (z 軸) z-coordinate (z 坐標) zero vector (零向量) zeros of a function (函數的零點) zeros of a polynomial (多項式的零點)