用Mathematica做微积分

转自：用Mathematica做微积分 - calculus的日志 - 网易博客
http://xuxzmail.blog.163.com/blog/static/2513191620117693216134/

一元微分学

用Mathematica求函数的极限http://xuxzmail.blog.163.com/blog/static/2513191620117652139949/

用Mathematica求数列的极限http://xuxzmail.blog.163.com/blog/static/251319162011769471823/

用Mathematica求导数http://xuxzmail.blog.163.com/blog/static/251319162011761088543/

用Mathematica求高阶导数http://xuxzmail.blog.163.com/blog/static/25131916201176103421376/

用Mathematica求参数方程的导数http://xuxzmail.blog.163.com/blog/static/25131916201177103342450/

用Mathematica求隐函数的导数http://xuxzmail.blog.163.com/blog/static/2513191620117710514307/

用Mathematica讨论微分中值定理http://xuxzmail.blog.163.com/blog/static/251319162011771171605/

将Mathematica用于洛必达法则http://xuxzmail.blog.163.com/blog/static/25131916201177112025686/

用Mathematica求曲线的切线和法线 http://xuxzmail.blog.163.com/blog/static/25131916201177112244579/

用Mathematica求方程的根 http://xuxzmail.blog.163.com/blog/static/2513191620117894724684/

用Mathematica求函数的单调区间和极值http://xuxzmail.blog.163.com/blog/static/25131916201178112023744/

用Mathematica求曲线的凹凸区间和拐点http://xuxzmail.blog.163.com/blog/static/25131916201178113934637/

用Mathematica求曲线的渐近线http://xuxzmail.blog.163.com/blog/static/2513191620117811581326/

用Mathematica求曲线的曲率http://xuxzmail.blog.163.com/blog/static/2513191620117802320181/

一元积分学

用Mathematica求不定积分http://xuxzmail.blog.163.com/blog/static/2513191620117841129995/

用Mathematica求定积分 http://xuxzmail.blog.163.com/blog/static/251319162011784175529/

用Mathematica求广义积分 http://xuxzmail.blog.163.com/blog/static/2513191620117842723766/

用Mathematica求积分变限函数的导数 http://xuxzmail.blog.163.com/blog/static/251319162011781000989/

用Mathematica求面积 http://xuxzmail.blog.163.com/blog/static/2513191620117810721660/

用Mathematica求体积(旋转体)http://xuxzmail.blog.163.com/blog/static/2513191620117810303490/

用Mathematica求弧长http://xuxzmail.blog.163.com/blog/static/2513191620117923318996/

用Mathematica求旋转曲面面积 http://xuxzmail.blog.163.com/blog/static/2513191620117924633511/

空间解析几何

用Mathematica求数量积、向量积、混合积 http://xuxzmail.blog.163.com/blog/static/2513191620117992146734/

用Mathematica求向量的模和单位向量 http://xuxzmail.blog.163.com/blog/static/2513191620117993159807/

用Mathematica求两点的距离 http://xuxzmail.blog.163.com/blog/static/2513191620117993622455/

多元微分学

用Mathematica求偏导数 http://xuxzmail.blog.163.com/blog/static/2513191620117994111588/

用Mathematica求高阶偏导数 http://xuxzmail.blog.163.com/blog/static/2513191620117995218828/

用Mathematica求全微分 http://xuxzmail.blog.163.com/blog/static/251319162011710998832/

用Mathematica求隐函数的偏导数 http://xuxzmail.blog.163.com/blog/static/25131916201171092135638/

用Mathematica求向量函数的导数 http://xuxzmail.blog.163.com/blog/static/25131916201171094743647/

用Mathematica求空间曲线的切线与法平面 http://xuxzmail.blog.163.com/blog/static/25131916201171010123759/

用Mathematica求曲面的切平面与法线http://xuxzmail.blog.163.com/blog/static/2513191620117111082898/

用Mathematica求梯度与方向导数 http://xuxzmail.blog.163.com/blog/static/25131916201171110152719/

用Mathematica求二元函数的极值http://xuxzmail.blog.163.com/blog/static/251319162011711103455202/

用Mathematica求最值 http://xuxzmail.blog.163.com/blog/static/251319162011711111846320/

用Mathematica求条件极值http://xuxzmail.blog.163.com/blog/static/251319162011711114747957/

多元积分学

用Mathematica求二重积分（直角坐标）http://xuxzmail.blog.163.com/blog/static/25131916201171192548137/

用Mathematica求二重积分（极坐标）http://xuxzmail.blog.163.com/blog/static/25131916201171194846758/

用Mathematica求三重积分（直角坐标）http://xuxzmail.blog.163.com/blog/static/2513191620117111025675/

用Mathematica求三重积分（柱面坐标） http://xuxzmail.blog.163.com/blog/static/251319162011711101146237/

用Mathematica求三重积分（球面坐标）http://xuxzmail.blog.163.com/blog/static/251319162011711102014787/

用Mathematica求曲面的面积 http://xuxzmail.blog.163.com/blog/static/25131916201171253810675/

用Mathematica求体积 http://xuxzmail.blog.163.com/blog/static/25131916201171254858364/

用Mathematica求第一类曲线积分 http://xuxzmail.blog.163.com/blog/static/251319162011712101340842/

用Mathematica求第二类曲线积分http://xuxzmail.blog.163.com/blog/static/251319162011712102936694/

用Mathematica求第一类曲面积分http://xuxzmail.blog.163.com/blog/static/25131916201171210434306/

用Mathematica求第二类曲面积分 http://xuxzmail.blog.163.com/blog/static/2513191620117121182185/

用Mathematica求散度及高斯公式的应用http://xuxzmail.blog.163.com/blog/static/25131916201171312027340/

用Mathematica求旋度及斯托克斯公式的应用http://xuxzmail.blog.163.com/blog/static/25131916201171312242431/

无穷级数

用Mathematica计算常数项级数http://xuxzmail.blog.163.com/blog/static/25131916201171354041840/

用Mathematica求幂级数的收敛半径与收敛域http://xuxzmail.blog.163.com/blog/static/25131916201171381338871/

用Mathematica求幂级数的和函数http://xuxzmail.blog.163.com/blog/static/2513191620117138263472/

用Mathematica求函数的泰勒公式http://xuxzmail.blog.163.com/blog/static/2513191620117138513311/

用Mathematica求函数的泰勒级数 http://xuxzmail.blog.163.com/blog/static/25131916201171391110719/

用Mathematica求函数的傅里叶级数 http://xuxzmail.blog.163.com/blog/static/25131916201171392123815/

微分方程

用Mathematica解一阶微分方程http://xuxzmail.blog.163.com/blog/static/251319162011714884696/

用Mathematica解高阶微分方程 http://xuxzmail.blog.163.com/blog/static/25131916201171483713912/