AP微積分單詞.docx

AP CACULUS WORDSabsolutely convergent ,adj 絕對(duì)收斂antiderivative ,n 不定積分binomial theorem ,n 二項(xiàng)式定理，二項(xiàng)展開(kāi)式chain rule ,n 鏈規(guī)則calculus ,n 微積分學(xué)conditionally convergent ,adj 條件收斂 continuity ,n 連續(xù)converge ,v 收斂definite integral ,n 定積分derivative ,n 導(dǎo)數(shù)differential coefficient ,n 微分differential equation ,n 微分方程directional derivative ,n 方向?qū)?shù)diverge ,v 發(fā)散divergence ,n 散度gradient ,n 梯度 implicit differentiation ,n 隱函數(shù)微分implicit function ,n 隱函數(shù)improper integral ,n 廣義積分integrable ,adj 可積的integral ,n 積分 integration by parts ,n 部分積分法left-hand limit ,n 左極限 limit ,n 極限local maximum ,n 極大值local minimum ,n 極小值method of lagrange multipliers ,n 拉格朗日乘數(shù)法multiple integral ,n 多重積分partial derivative ,n 偏導(dǎo)數(shù)polar coordinates ,n 極坐標(biāo)power series ,n 冪級(jí)數(shù)right-hand limit ,n 右極限r(nóng)otation ,n 旋度series ,n 級(jí)數(shù)substitution rule ,n 替代法則 table of integrals ,n 積分表taylors formula ,n 泰勒公式three-dimensional analytic geometry ,n 空間解析幾何total differential ,n 全微分 trigonometric substitution ,n 三角替代法absolutely convergent 絕對(duì)收斂absolute value 絕對(duì)值algebraic function 代數(shù)函數(shù)analytic geometry 解析幾何antiderivative 不定積分approximate integration 近似積分approximation 近似法、逼近法arbitrary constant 任意常數(shù)arithmetic series/progression (AP)算數(shù)級(jí)數(shù)asymptotes (vertical and horizontal)(垂直/水平)漸近線average rate of change 平均變化率base 基數(shù)binomial theorem 二項(xiàng)式定理，二項(xiàng)展開(kāi)式Cartesian coordinates 笛卡兒坐標(biāo)(一般指直角坐標(biāo))Cartesian coordinates system 笛卡兒坐標(biāo)系Cauchs Mean Value Theorem 柯西均值定理chain rule 鏈?zhǔn)角髮?dǎo)法則calculus 微積分學(xué)closed interval integral 閉區(qū)間積分coefficient 系數(shù)composite function 復(fù)合函數(shù)conchoid 蚌線continuity (函數(shù)的)連續(xù)性concavity (函數(shù)的)凹凸性conditionally convergent 有條件收斂 continuity 連續(xù)性critical point 臨界點(diǎn)cubic function 三次函數(shù)cylindrical coordinates 圓柱坐標(biāo)decreasing function 遞減函數(shù)decreasing sequence 遞減數(shù)列definite integral 定積分derivative 導(dǎo)數(shù)determinant 行列式differential coefficient 微分系數(shù)differential equation 微分方程directional derivative 方向?qū)?shù)discontinuity 不連續(xù)性discriminant (二次函數(shù))判別式disk method 圓盤法divergence 散度divergent 發(fā)散的domain 定義域dot product 點(diǎn)積double integral 二重積分ellipse 橢圓ellipsoid 橢圓體epicycloid 外擺線Eulers method (BC)歐拉法expected valued 期望值exponential function 指數(shù)函數(shù)extreme value heorem 極值定理factorial 階乘finite series 有限級(jí)數(shù)fundamental theorem of calculus 微積分基本定理geometric series/progression (GP)幾何級(jí)數(shù) gradient 梯度 Green formula 格林公式half-angle formulas 半角公式harmonic series 調(diào)和級(jí)數(shù)helix 螺旋線higher derivative 高階導(dǎo)數(shù)horizontal asymptote 水平漸近線horizontal line 水平線hyperbola 雙曲線hyper boloid 雙曲面implicit differentiation 隱函數(shù)求導(dǎo)implicit function 隱函數(shù)improper integral 廣義積分、瑕積分increment 增量increasing function 增函數(shù)indefinite integral 不定積分independent variable 自變數(shù)inequality 不等式ndeterminate form 不定型infinite point 無(wú)窮極限infinite series 無(wú)窮級(jí)數(shù)infinite series 無(wú)限級(jí)數(shù)inflection point (POI) 拐點(diǎn)initial condition 初始條件instantaneous rate of change 瞬時(shí)變化率integrable 可積的integral 積分 integrand 被積分式integration 積分integration by part 分部積分法intercept 截距intermediate value of Theorem ：中間值定理inverse function 反函數(shù)irrational function 無(wú)理函數(shù)iterated integral 逐次積分Laplace transform 拉普拉斯變換law of cosines 余弦定理least upper bound 最小上界left-hand derivative 左導(dǎo)數(shù)left-hand limit 左極限 LHospitals rule 洛必達(dá)法則limacon 蚶線linear approximation 線性近似法 linear equation 線性方程式linear function 線性函數(shù)linearity 線性linearization 線性化local maximum 極大值local minimum 極小值logarithmic function 對(duì)數(shù)函數(shù)MacLaurin series 麥克勞林級(jí)數(shù)maximum 最大值mean value theorem (MVT)中值定理minimum 最小值method of lagrange multipliers 拉格朗日乘數(shù)法modulus 絕對(duì)值multiple integral 多重積分multiple 倍數(shù)multiplier 乘子octant 卦限open interval integral 開(kāi)區(qū)間積分optimization 優(yōu)化法，極值法origin 原點(diǎn)orthogonal 正交parametric equation (BC)參數(shù)方程partial derivative 偏導(dǎo)數(shù)partial differential equation 偏微分方程partial fractions 部分分式piece-wise function 分段函數(shù)parabola 拋物線parabolic cylinder 拋物柱面paraboloid ：拋物面parallelepiped 平行六面體parallel lines 并行線parameter ：參數(shù)partial integration 部分積分partiton ：分割period ：周期periodic function 周期函數(shù)perpendicular lines 垂直線piecewise defined function 分段定義函數(shù)plane 平面point of inflection 反曲點(diǎn)point-slope form 點(diǎn)斜式polar axis 極軸polar coordinates 極坐標(biāo)polar equation 極坐標(biāo)方程pole 極點(diǎn)polynomial 多項(xiàng)式power series 冪級(jí)數(shù)product rule 積的求導(dǎo)法則quadrant 象限quadratic functions 二次函數(shù)quotient rule 商的求導(dǎo)法則radical 根式radius of convergence 收斂半徑range 值域(related) rate of change with time (時(shí)間)變化率rational function 有理函數(shù)reciprocal 倒數(shù)remainder theorem 余數(shù)定理Riemann sum 黎曼和Riemannian geometry 黎曼幾何right-hand limit 右極限Rolles theorem 羅爾(中值)定理root 根rotation 旋轉(zhuǎn)secant line 割線second derivative 二階導(dǎo)數(shù)second derivative test 二階導(dǎo)數(shù)試驗(yàn)法second partial derivative 二階偏導(dǎo)數(shù)series 級(jí)數(shù)shell method (積分)圓筒法sine function 正弦函數(shù)singularity 奇點(diǎn)slant 母線slant asymptote 斜漸近線slope 斜率slope-intercept equation of a line 直線的斜截式smooth curve 平滑曲線smooth surface 平滑曲面sol