轉自：用Mathematica做微積分 - calculus的日誌 - 網易博客
http://xuxzmail.blog.163.com/blog/static/2513191620117693216134/
一元微分學
用Mathematica求函數的極限 http://xuxzmail.blog.163.com/blog/static/2513191620117652139949/
用Mathematica求數列的極限 http://xuxzmail.blog.163.com/blog/static/251319162011769471823/
用Mathematica求導數 http://xuxzmail.blog.163.com/blog/static/251319162011761088543/
用Mathematica求高階導數 http://xuxzmail.blog.163.com/blog/static/25131916201176103421376/
用Mathematica求參數方程的導數 http://xuxzmail.blog.163.com/blog/static/25131916201177103342450/
用Mathematica求隱函數的導數 http://xuxzmail.blog.163.com/blog/static/2513191620117710514307/
用Mathematica討論微分中值定理 http://xuxzmail.blog.163.com/blog/static/251319162011771171605/
將Mathematica用於洛必達法則 http://xuxzmail.blog.163.com/blog/static/25131916201177112025686/
用Mathematica求曲線的切線和法線 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求函數的單調區間和極值 http://xuxzmail.blog.163.com/blog/static/25131916201178112023744/
用Mathematica求曲線的凹凸區間和拐點 http://xuxzmail.blog.163.com/blog/static/25131916201178113934637/
用Mathematica求曲線的漸近線 http://xuxzmail.blog.163.com/blog/static/2513191620117811581326/
用Mathematica求曲線的曲率 http://xuxzmail.blog.163.com/blog/static/2513191620117802320181/
一元積分學
用Mathematica求不定積分 http://xuxzmail.blog.163.com/blog/static/2513191620117841129995/
用Mathematica求定積分 http://xuxzmail.blog.163.com/blog/static/251319162011784175529/
用Mathematica求廣義積分 http://xuxzmail.blog.163.com/blog/static/2513191620117842723766/
用Mathematica求積分變限函數的導數 http://xuxzmail.blog.163.com/blog/static/251319162011781000989/
用Mathematica求面積 http://xuxzmail.blog.163.com/blog/static/2513191620117810721660/
用Mathematica求體積(旋轉體) http://xuxzmail.blog.163.com/blog/static/2513191620117810303490/
用Mathematica求弧長 http://xuxzmail.blog.163.com/blog/static/2513191620117923318996/
用Mathematica求旋轉曲面面積 http://xuxzmail.blog.163.com/blog/static/2513191620117924633511/
空間解析幾何
用Mathematica求數量積、向量積、混合積 http://xuxzmail.blog.163.com/blog/static/2513191620117992146734/
用Mathematica求向量的模和單位向量 http://xuxzmail.blog.163.com/blog/static/2513191620117993159807/
用Mathematica求兩點的距離 http://xuxzmail.blog.163.com/blog/static/2513191620117993622455/
多元微分學
用Mathematica求偏導數 http://xuxzmail.blog.163.com/blog/static/2513191620117994111588/
用Mathematica求高階偏導數 http://xuxzmail.blog.163.com/blog/static/2513191620117995218828/
用Mathematica求全微分 http://xuxzmail.blog.163.com/blog/static/251319162011710998832/
用Mathematica求隱函數的偏導數 http://xuxzmail.blog.163.com/blog/static/25131916201171092135638/
用Mathematica求向量函數的導數 http://xuxzmail.blog.163.com/blog/static/25131916201171094743647/
用Mathematica求空間曲線的切線與法平面 http://xuxzmail.blog.163.com/blog/static/25131916201171010123759/
用Mathematica求曲面的切平面與法線 http://xuxzmail.blog.163.com/blog/static/2513191620117111082898/
用Mathematica求梯度與方向導數 http://xuxzmail.blog.163.com/blog/static/25131916201171110152719/
用Mathematica求二元函數的極值 http://xuxzmail.blog.163.com/blog/static/251319162011711103455202/
用Mathematica求最值 http://xuxzmail.blog.163.com/blog/static/251319162011711111846320/
用Mathematica求條件極值 http://xuxzmail.blog.163.com/blog/static/251319162011711114747957/
多元積分學
用Mathematica求二重積分（直角座標） http://xuxzmail.blog.163.com/blog/static/25131916201171192548137/
用Mathematica求二重積分（極座標） http://xuxzmail.blog.163.com/blog/static/25131916201171194846758/
用Mathematica求三重積分（直角座標） http://xuxzmail.blog.163.com/blog/static/2513191620117111025675/
用Mathematica求三重積分（柱面座標） http://xuxzmail.blog.163.com/blog/static/251319162011711101146237/
用Mathematica求三重積分（球面座標） http://xuxzmail.blog.163.com/blog/static/251319162011711102014787/
用Mathematica求曲面的面積 http://xuxzmail.blog.163.com/blog/static/25131916201171253810675/
用Mathematica求體積 http://xuxzmail.blog.163.com/blog/static/25131916201171254858364/
用Mathematica求第一類曲線積分 http://xuxzmail.blog.163.com/blog/static/251319162011712101340842/
用Mathematica求第二類曲線積分 http://xuxzmail.blog.163.com/blog/static/251319162011712102936694/
用Mathematica求第一類曲面積分 http://xuxzmail.blog.163.com/blog/static/25131916201171210434306/
用Mathematica求第二類曲面積分 http://xuxzmail.blog.163.com/blog/static/2513191620117121182185/
用Mathematica求散度及高斯公式的應用 http://xuxzmail.blog.163.com/blog/static/25131916201171312027340/
用Mathematica求旋度及斯托克斯公式的應用 http://xuxzmail.blog.163.com/blog/static/25131916201171312242431/
無窮級數
用Mathematica計算常數項級數 http://xuxzmail.blog.163.com/blog/static/25131916201171354041840/
用Mathematica求冪級數的收斂半徑與收斂域 http://xuxzmail.blog.163.com/blog/static/25131916201171381338871/
用Mathematica求冪級數的和函數 http://xuxzmail.blog.163.com/blog/static/2513191620117138263472/
用Mathematica求函數的泰勒公式 http://xuxzmail.blog.163.com/blog/static/2513191620117138513311/
用Mathematica求函數的泰勒級數 http://xuxzmail.blog.163.com/blog/static/25131916201171391110719/
用Mathematica求函數的傅里葉級數 http://xuxzmail.blog.163.com/blog/static/25131916201171392123815/
微分方程
用Mathematica解一階微分方程 http://xuxzmail.blog.163.com/blog/static/251319162011714884696/
用Mathematica解高階微分方程 http://xuxzmail.blog.163.com/blog/static/25131916201171483713912/