高等数学专业英语名词

2024年1月4日发(作者：涟水初三二模数学试卷分析)

实用文档高等数学术语英语翻译V、X、Z:Valueoffunction：函数值Vector：函数值Volume：体积X-axis：x轴x-coordinate：x坐标x-intercept：x截距Zerovector：函数的零点T:Tangentfunction：正切函数Tangentline：切线Totaldifferential：全微分Trigonometricfunction：三角函数Tripeintegrals：三重积分S:Secondderivative：二阶导数Secondpartialderivative：二阶偏导数Sequence：数列Set：集合Slope：斜率Smoothcurve：平滑曲线Smoothsurface：平滑曲面Solidofrevolution：旋转体Space：空间Speed：速率Sphericalcoordinates：球面坐标Sum：和Surface：曲面Surfaceintegral：面积分Surfaceofrevolution：旋转曲面Symmetry：对称Sinefunction：正弦函数Slantasymptote：斜渐近线R:Rangeofafunction：函数的值域Rateofchange：变化率Rationalfunction：有理函数Rationalnumber：有理数Realnumber：实数Rectangularcoordinates：直角坐标Revolution,solidof：旋转体Revolution,surfaceof：旋转曲面Root：根P、Q:Parabola：拋物线Paraboliccylinder：抛物柱面Paraboloid：抛物面Parallelepiped：平行六面体Parallellines：并行线Parameter：参数Partialderivative：偏导数Partialdifferentialequation：偏微分方程Partialfractions：部分分式Partialintegration：部分积分Partiton：分割Period：周期Periodicfunction：周期函数Perpendicularlines：垂直线Plane：平面Polarcoordinate：极坐标Pole：极点Polynomial：多项式Positiveangle：正角Powerfunction：幂函数Product：积M、N、O:Maximumandminimumvalues：极大与极小值Multipleintegrals：重积分Naturalnumber：自然数Normalline：法线Number：数Oddfunction：奇函数One-sidedlimit：单边极限Openinterval：开区间Ordinarydifferentialequation：常微分方程Orthogonal：正交的Origin：原点L:LawofCosines：余弦定理Left-handderivative：左导数Left-handlimit：左极限Length：长度Limit：极限Linearapproximation：线性近似Linearequation：线性方程式Linearfunction：线性函数Linearity：线性Logarithm：对数Logarithmicfunction：对数函数I:Implicitfunction：隐函数Increment：增量Indefiniteintegral：不定积分Independentvariable：自变数Indeterminatefrom：不定型Inequality：不等式Infinitepoint：无穷极限Infiniteseries：无穷级数Integer：整数Integral：积分Integrand：被积分式Integration：积分Intercepts：截距Interval：区间Inversefunction：反函数Inversetrigonometricfunction：反三角函数Iteratedintegral：逐次积分IntermediatevalueofTheorem：中间值定理H:Highermathematics高等数学/高数E、F、G、H:文案大全

实用文档Ellipse：椭圆Ellipsoid：椭圆体Equation：方程式Evenfunction：偶函数ExpectedValued：期望值ExponentialFunction：指数函数Extremevalue：极值Focus：焦点Fractions：分式Function：函数Gradient：梯度Graph：图形HigherDerivative：高阶导数Horizontalasymptote：水平渐近线Horizontalline：水平线Hyperbola：双曲线Hyperboloid：双曲面D:Decreasingfunction：递减函数Decreasingsequence：递减数列Definiteintegral：定积分Density：密度Derivative：导数higher：高阶导数partial：偏导数Determinant：行列式Differentiablefunction：可导函数Differential：微分Differentialequation：微分方程partial：偏微分方程Differentiation：求导法implicit：隐求导法partial：偏微分法Discontinuity：不连续性Distance：距离Divergence：发散Domain：定义域Doubleintegral：二重积分C:Calculus：微积分differential：微分学integral：积分学Circle：圆Circularcylinder：圆柱Closedinterval：封闭区间Coefficient：系数Cone：圆锥Constantfunction：常数函数Constantofintegration：积分常数Continuity：连续性Continuousfunction：连续函数Convergence：收敛Convergentsequence：收敛数列Coordinate：s：坐标polar：极坐标rectangular：直角坐标spherical：球面坐标Coordinateaxes：坐标轴Cosinefunction：余弦函数Criticalpoint：临界点Cubicfunction：三次函数Curve：曲线Cylinder：圆柱A、B:Absoluteconvergence：绝对收敛Absoluteextremevalues：绝对极值Absolutemaximumandminimum：绝对极大与极小Absolutevalue：绝对值Absolutevaluefunction：绝对值函数Acceleration：加速度Antiderivative：反导Arbitraryconstant：任意常数Arclength：弧长Area：面积Asymptote：渐近线horizontal：水平渐近线slant：斜渐近线vertical：垂直渐近线Averagespeed：平均速率Averagevelocity：平均速度微积分词汇第一章函数与极限Chapter1FunctionandLimit集合set元素element子集subset空集emptyset并集union交集intersection差集differenceofset基本集basicset补集complementset直积directproduct开区间openinterval闭区间closedinterval映射mapping一一映射one-to-onemapping变化transformation函数function自变量independentvariable因变量dependentvariable函数关系functionrelation值域range函数图形graphofafunction绝对值函数absolutevalue符号函数sighfunction整数部分integralpart分段函数piecewisefunction函数的单调性monotonicityofafunction单调增加的increasing单调减少的decreasing单调函数monotonefunction对称symmetry偶函数evenfunction奇函数oddfunction周期period反函数inversefunction直接函数directfunction复合函数compositefunction中间变量intermediatevariable函数的运算operationoffunction基本初等函数basicelementaryfunction初等函数elementaryfunction幂函数powerfunction指数函数exponentialfunction对数函数logarithmicfunction三角函数trigonometricfunction反三角函数inverse文案大全

实用文档trigonometricfunction常数函数constantfunction极限limit数列sequenceofnumber收敛convergence发散divergent子列subsequence函数的极限limitsoffunctions左极限leftlimit右极限rightlimit单侧极限one-sidedlimits无穷小infinitesimal无穷大infinity单调数列monotonicsequence高阶无穷小infinitesimalofhigherorder低阶无穷小infinitesimaloflowerorder同阶无穷小infinitesimalofthesameorder2高等数学-翻译等阶无穷小equivalentinfinitesimal函数的连续性continuityofafunction增量increment不连续点discontinuitypoint第一类间断点discontinuitypointofthefirstkind第二类间断点discontinuitypointofthesecondkind定义区间definedinterval最大值globalmaximumvalue(absolutemaximum)最小值globalminimumvalue(absoluteminimum)零点定理thezeropointtheorem介值定理intermediatevaluetheorem第二章导数与微分Chapter2DerivativeandDifferential匀速运动uniformmotion平均速度averagevelocity瞬时速度instantaneousvelocity圆的切线tangentlineofacircle切线tangentline切线的斜率slopeofthetangentline位置函数positionfunction导数derivative可导derivable导函数derivedfunction切线方程tangentequation隐函数implicitfunction显函数explicitfunction高阶导数nthderivative相关变化率correlativechangerata微分differential可微的differentiable函数的微分differentialoffunction自变量的微分differentialofindependentvariable绝对误差absoluteerror相对误差relativeerror第三章微分中值定理与导数的应用Chapter3MeanValueTheoremofDifferentialsandtheApplicationofDerivatives临界点criticalpoint辅助函数auxiliaryfunction不定式indeterminateform泰勒公式Taylorformula余项remainderterm拐点inflectionpoint函数的极值extremumoffunction极大值local(relative)maximum极小值local(relative)minimum曲率curvature平均曲率averagecurvature曲率中心centerofcurvature第四章不定积分Chapter4IndefiniteIntegrals原函数primitivefunction(antiderivative)积分号signofintegration被积函数integrand积分变量integralvariable积分曲线integralcurve积分表tableofintegrals换元积分法integrationbysubstitution分部积分法integrationbyparts分部积分公式formulaofintegrationbyparts有理函数rationalfunction第五章定积分Chapter5DefiniteIntegrals曲边梯形trapezoidwith曲边curveedge积分下限lowerlimitofintegral积分上限upperlimitofintegral积分区间integralinterval分割partition积分和integralsum可积integrable反常积分improperintegral第六章定积分的应用面积元素elementofarea极坐标polarcoordinates抛物线parabola椭圆ellipse旋转体的面积volumeofasolidofrotation曲线的弧长arclengthofacurve光滑smooth功work水压力waterpressure引力gravitation变力variableforce文案大全

实用文档第七章空间解析几何与向量代数Chapter7SpaceAnalyticGeometryandVectorAlgebra相等equal平行parallel三角法则trianglerule平行四边形法则parallelogramrule交换律commutativelaw结合律associativelaw差difference分配律distributivelaw球面sphere轴axis顶点vertex抛物柱面paraboliccylinder二次曲面quadricsurface椭圆锥面dllipticcone椭球面ellipsoid椭圆柱面ellipticcylinder双曲柱面hyperboliccylinder抛物柱面paraboliccylinder空间曲线spacecurve投影projection垂直perpendicular第八章多元函数微分法及其应用Chapter8DifferentiationofFunctionsofSeveralVariablesandItsApplication一元函数functionofonevariable多元函数functionofseveralvariables边界点frontierpoint,boundarypoint开集openset闭集closedset有界集boundedset无界集unboundedset二重极限doublelimit连续函数continuousfunction不连续点discontinuitypoint偏导数partialderivative高阶偏导数partialderivativeofhigherorder二阶偏导数secondorderpartialderivative全微分totaldifferential偏增量oartialincrement偏微分partialdifferential全增量totalincrement可微分differentiable必要条件necessarycondition充分条件sufficientcondition全导数totalderivative法线normalline梯度gradient无条件极值unconditionalextremevalues条件极值conditionalextremevalues最小二乘法methodofleastsquares第九章重积分Chapter9MultipleIntegrals二重积分doubleintegral可加性additivity三重积分tripleintegral反常二重积分improperdoubleintegral曲面的面积areaofasurface质心centreofmass密度density第十二章微分方程Chapter12DifferentialEquation常微分方程ordinarydifferentialequation偏微分方程partialdifferentialequation,PDE初始条件initialcondition衰变decay齐次方程homogeneousequation一阶线性方程lineardifferentialequationoffirstorder非齐次non-homogeneous齐次线性方程homogeneouslinearequation非齐次线性方程non-homogeneouslinearequation全微分方程totaldifferentialequation高阶微分方程differentialequationofhigherorder二阶线性微分方程secondorderlineradifferentialequation线性相关linearlydependence线性无关linearlyindependcevariablecoefficient微分方程组systemofdifferentialequations文案大全