求微积分的英语词汇
\u6c42\u5fae\u79ef\u5206\u7684\u82f1\u8bed\u8bcd\u6c47,\u4f60\u597d,\u672c\u4eba\u73b0\u5728\u5728\u7f8e\u56fd\u8bfb\u9ad8\u4e2d\u6b63\u5728\u5b66\u5fae\u79ef\u5206,\u6240\u4ee5\u5fae\u79ef\u5206\u7684\u4e13\u4e1a\u8bcd\u6c47\u82f1\u6587\u77e5\u9053\u7684\u6bd4\u8f83\u591a\u4e00\u4e9b \u5982\u679c\u4e2d\u6587\u6709\u7ffb\u8bd1\u4e0d\u5bf9\u7684\u5e0c\u671b\u4f60\u80fd\u7406\u89e3
\u5fae\u79ef\u5206 Calculus
\u6781\u9650 limit
\u79ef\u5206 integration
\u5fae\u5206 differentiation
\u5bfc\u6570 derivative
\u6781\u503c\u5e94\u8be5\u662fextrema
\u4e09\u89d2\u51fd\u6570 trig(trigonometric) functions
\u53cd\u4e09\u89d2\u51fd\u6570 inverse trig(trigonomic) functions
\u5fae\u5206\u65b9\u7a0b differential equations
\u9ece\u66fc\u79ef\u5206 Riemann Sums
\u5b9a\u79ef\u5206 definite integrals
\u6307\u6570\u51fd\u6570 exponential functions
\u5bf9\u6570\u51fd\u6570 log(logarithmic) functions
\u81ea\u7136\u5bf9\u6570\u51fd\u6570 natural log functions
\u5fae\u79ef\u5206\u57fa\u672c\u5b9a\u7406 the Fundamental Theorem of Calculus
\u6d1b\u5fc5\u8fbe\u6cd5\u5219 l'hopital's rule
Rolle\u5b9a\u7406 Rolle's Theorem
u\u4ee3\u5165\u6cd5 u substitution
\u5f27\u7ebf\u957f\u5ea6 arc length
\u6b63\u65e0\u7a77\u5927 positive infinity
\u8d1f\u65e0\u7a77\u5927 negative infinity
\u4f8b\u9898
1. Find the volume of the solid formed by revolving the region by the graphs of y = x^2 +1, y = 0, and x = 1. About the y-axis.
\u6c42\u88ab\u51fd\u6570y= x^2 +1, y = 0,\u548c x = 1\u6240\u5305\u56f4\u7684\u533a\u57df\u56f4\u7ed5Y\u8f74\u65cb\u8f6c\u540e\u5f62\u6210\u7684\u4f53\u79ef.
\u7b54\u6848\u662f3pi/2
2.Find the area bounded by the graphs of x =3 - y^2 and x = y + 1.
\u6c42\u88abx = 3 - y^2 \u548c x = y + 1 \u7684\u56fe\u50cf\u6240\u5305\u56f4\u7684\u9762\u79ef.
\u7b54\u6848\u662f9/2
3.A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the page are to be 3/2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the page be so that the least amount of paper is used?
\u6709\u4e00\u9875\u957f\u65b9\u5f62\u7684\u7eb8,\u4e0a\u9762\u670924\u5e73\u65b9\u82f1\u5bf8\u7684\u5370\u5237\u533a\u57df,\u7eb8\u4e0a\u7aef\u548c\u4e0b\u7aef\u7684\u7a7a\u767d\u90fd\u662f3/2\u82f1\u5bf8,\u5de6\u8fb9\u548c\u53f3\u8fb9\u7684\u7a7a\u767d\u90fd\u662f1\u82f1\u5bf8.\u6c42\u8fd9\u5f20\u7eb8\u7684\u957f\u5bbd\u4ee5\u4f7f\u6240\u7528\u7684\u7eb8\u6700\u5c11.
\u6211\u77e5\u9053\u8fd9\u4e9b\u4e0d\u662f\u5f88\u591a\u53ea\u662f\u5fae\u79ef\u5206\u7684\u4e00\u5c0f\u90e8\u5206,\u4e0d\u8fc7\u4e5f\u662f\u8d39\u4e86\u597d\u5927\u529b\u6c14\u5199\u7684\u5e0c\u671b\u80fd\u5bf9\u4f60\u6709\u5e2e\u52a9\u5427!
one-sided limits \u6709\u6700\u5927\u6216\u6700\u5c0f\u503c\uff0c\u53ea\u6709\u5176\u4e00\uff0c Two-sided limints \u540c\u65f6\u6709\u6700\u5927\u548c\u6700\u5c0f\u503c\u7684\u9650\u5236
continuity thorem \u5e94\u8be5\u662f\u8fde\u7eed\u6027\u65b9\u7a0b\uff0c\u56fe\u50cf\u8fde\u7eed\uff0c\u6ca1\u6709\u5947\u70b9\u3002
Calculat..... \u7684\u610f\u601d\u662f\u8ba1\u7b97\u67d0\u4e00\u65b9\u7a0b\u4e2d\u4e00\u70b9\u6240\u5728\u4f4d\u7f6e\u7684\u5207\u7ebf\u7684\u659c\u7387\u548c\u5207\u7ebf\u65b9\u7a0b\uff08\u52a0\u4e0a\u622a\u8ddd\uff09
slove..... \u7528\u53d8\u5316\u7387\u89e3\u51b3\u5e94\u7528\u95ee\u9898\uff0c\u5c31\u662fDy
limit of a function of one variable 一元函数的极限
concept of continuity 连续性的概念
differential coefficient 导数与微分
extremum of a function of one variable 一元函数的极值
inflexion 拐点
variance ratio 变化率
application of relative variable ratio 相对变化率的应用
integration of a function of one variable 一元函数的积分
series 级数
positive series 正向级数
alternating series 交错级数
concept of power series 幂级数的概念
concept of function of many variables 多元函数的概念
differential coefficient of a function of many variables and total differential 多元函数的导数与全微分
extremum 极值
concept of double integration 二重积分的概念
property 性质
double intergration of two frames of axes 两种坐标系下的二重积分
differential equation 微分方程
concept of difference equation 差分方程的概念
first order differential equation 一阶微分方程
simple second order differential equation 简单二阶微分方程
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