数学应用软件实验报告(mathematica实验程序)2

徐州工程学院数理学院数学应用软件实验报告课程（实验序号）数学应用软件实验3实验地点、日期数学建模机房2011年3月9日主要仪器设备计算机使用的软件名称Mathematica实验类型演示性实验验证性实验综合性实验√设计性实验研究性实验班级：姓名：孙娅学号：20090402223一、实验题目名称：符号计算和数值计算（2）二、实验目的：深刻理解函数的概念;深刻理解符号表达式的一般处理过程和基本表达式的变换;掌握表的简单操作运算;了解程序包的使用，计算结果的存取初步掌握简单的外部通讯手段，关系判断与逻辑表达式;熟练掌握微积分的相关计算以及方程的数值解，曲线拟合，函数极值等数值计算手段。为了学生能够很好的掌握，建议由教师利用多媒体由对实例的分析教会学生对软件相关内容的基本操作。

三、实验内容：练习31.展开(1+x+2xy+y)^20,它有多少项？Expand[(1+x+2*x*y+y)^20]Length[%]1+20x+190x2+1140x3+4845x4+15504x5+38760x6+77520x7+125970x8+167960x9+184756x10+167960x11+125970x12+77520x13+38760x14+15504x15+4845x16+1140x17+190x18+20x19+x20+20y+420xy+4180x2y+26220x3y+116280x4y+387600x5y+1007760x6y+2093040x7y+3527160x8y+4870840x9y+5542680x10y+5206760x11y+4031040x12y+2558160x13y+1317840x14y+542640x15y+174420x16y+42180x17y+7220x18y+780x19y+40x20y+190y2+4180xy2+43510x2y2+285000x3y2+1317840x4y2+4573680x5y2+12364440x6y2+26666880x7y2+46608900x8y2+66680120x9y2+78521300x10y2+76253840x11y2+60969480x12y2+39922800x13y2+21201720x14y2+8992320x15y2+2974830x16y2+739860x17y2+130150x18y2+14440x19y2+760x20y2+1140y3+26220xy3+285000x2y3+1947120x3y3+9379920x4y3+33876240x5y3+95194560x6y3+213180000x7y3+386475960x8y3+572911560x9y3+698377680x10y3+701400960x11y3+579462000x12y3+391708560x13y3+214575360x14y3+93799200x15y3+31957620x16y3+8179500x17y3+1479720x18y3+168720x19y3+9120x20y3+4845y4+116280xy4+1317840x2y4+9379920x3y4+47035260x4y4+176668080x5y4+515856840x6y4+1199311920x7y4+2255240910x8y4+3464678880x9y4+4373174520x10y4+4543989840x11y4+3880631820x12y4+2709556560x13y4+1531911480x14y4+690625680x15y4+242487405x16y4+63915240x17y4+11899320x18y4+1395360x19y4+77520x20y4+15504y5+387600xy5+4573680x2y5+33876240x3y5+176668080x4y5+689695440x5y5+2091722160x6y5+5047559760x7y5+9844807440x8y59y5+20492396496x10y5+22036687920x11y5+19462868880x12y513y5+8199522960x14y5+3814712688x15y5+1381251360x16y5+375196800x17y5+71938560x18y5+8682240x19y5+496128x20y5+38760y6+1007760xy6+12364440x2y6+95194560x3y6+515856840x4y6+2091722160x5y6+6586060440x6y6+16491449760x7y6+33358367640x8y6+55054936560x9y6+74554588680x10y6+82999113600x11y6+75841498200x12y6+56582235600x13y6+34135350600x14y6+16399045920x15y6+6127645920x16y6+1716602880x17y6+339227520x18y6+42170880x19y6+2480640x20y6+77520y7+2093040xy7+26666880x2y7+213180000x3y7+1199311920x4y7+5047559760x5y7+16491449760x6y7+42835691520x7y7+89846842800x8y7+153696500880x9y7+215632422720x10y7+248584159200x11y7+235095291600x12y7+181435172400x13y7+113164471200x14y7+56175023040x15y7+21676452480x16y7+6267336960x17y7+1277529600x18y7+163722240x19y7+9922560x20y7+125970y8+3527160xy8+46608900x2y8+386475960x3y8+2255240910x4y8+9844807440x5y8+33358367640x6y8+89846842800x7y8+195370274190x8y8+346388778840x9y8+503527535940x10y8+601227096600x11y8+588701269650x12y8+470190583200x13y8+303365992800x14y8+155702951040x15y8+62090109120x16y817y8+3902046720x18y8+515973120x19y8+32248320x20y8+167960y9+4870840xy9+66680120x2y9+572911560x3y9+3464678880x4y95y9+55054936560x6y9+153696500880x7y9+346388778840x8y9+636450324120x9y9+958623134040x10y9+1185753090600x11y9+1202454193200x12y9+994336636800x13y9+663992908800x14y9+352587006720x15y9+145407674880x16y9+44889661440x17y9+9760491520x18y9+1332930560x19y9+85995520x20y9+184756y10+5542680xy10+78521300x2y10+698377680x3y10+4373174520x4y10+20492396496x5y10+74554588680x6y10+215632422720x7y10+503527535940x8y10+958623134040x9y10+1496053026468x10y10+1917246268080x11y10+2014110143760x12y10+1725059381760x13y10+1192873418880x14y10+655756687872x15y10+279883169280x16y10+89392343040x17y10+20101452800x18y10+2837852160x19y10+189190144x20y10+167960y11+5206760xy11+76253840x2y11+701400960x3y11+4543989840x4y11+22036687920x5y11+82999113600x6y11+248584159200x7y11+601227096600x8y11+1185753090600x9y11+1917246268080x10y11+2545801296480x11y11+2771110230720x12y11+2459144014080x13y11+1761757969920x14y11+1003245235200x15y11+443478896640x16y11+146665359360x17y11+34140221440x18y11+4987740160x19y11+343982080x20y11+125970y12+4031040xy12+60969480x2y12+579462000x3y12+3880631820x4y12+19462868880x5y12+75841498200x6y12+235095291600x7y12+588701269650x8y12+1202454193200x9y12+2014110143760x10y12+2771110230720x11y12+3125924387040x12y12+2875098969600x13y12+2134935528960x14y12+1260135352320x15y12+577341672960x16y12+197875691520x17y12+47727513600x18y12+7223623680x19y12+515973120x20y12+77520y13+2558160xy13+39922800x2y13+391708560x3y13+2709556560x4y135y13+56582235600x6y13+181435172400x7y13+470190583200x8y13+994336636800x9y13+1725059381760x10y13+2459144014080x11y13+2875098969600x12y13+2741484257280x13y13+2110905569280x14y13+1292175298560x15y13+614047703040x16y13+218296320000x17y13+54613770240x18y13+8573091840x19y13+635043840x20y13+38760y14+1317840xy14+21201720x2y14+214575360x3y14+1531911480x4y14+8199522960x5y14+34135350600x6y14+113164471200x7y14+303365992800x8y14+663992908800x9y14+1192873418880x10y14+1761757969920x11y14+2134935528960x12y14+2110905569280x13y14+1686031472640x14y14+1070961745920x15y14+528237404160x16y14+194958458880x17y14+50644746240x18y14+8255569920x19y14+635043840x20y14+15504y15+542640xy15+8992320x2y15+93799200x3y15+690625680x4y15+3814712688x5y15+16399045920x6y15+56175023040x7y15+155702951040x8y15+352587006720x9y15+655756687872x10y15+1003245235200x11y15+1260135352320x12y15+1292175298560x13y15+1070961745920x14y15+706248130560x15y15+361816227840x16y15+138757079040x17y15+37467586560x18y15+6350438400x19y15+508035072x20y15+4845y16+174420xy16+2974830x2y16+31957620x3y16+242487405x4y16+1381251360x5y16+6127645920x6y16+21676452480x7y16+62090109120x8y16+145407674880x9y16+279883169280x10y16+443478896640x11y16+577341672960x12y16+614047703040x13y16+528237404160x14y16+361816227840x15y16+192656424960x16y16+76840304640x17y16+21591490560x18y16+3810263040x19y16+317521920x20y16+1140y17+42180xy17+739860x2y17+8179500x3y17+63915240x4y17+375196800x5y17+1716602880x6y17+6267336960x7y178y17+44889661440x9y17+89392343040x10y17+146665359360x11y17+197875691520x12y17+218296320000x13y17+194958458880x14y17+138757079040x15y17+76840304640x16y17+31901614080x17y17+9338880000x18y17+1718353920x19y17+149422080x20y17+190y18+7220xy18+130150x2y18+1479720x3y18+11899320x4y18+71938560x5y18+339227520x6y18+1277529600x7y18+3902046720x8y18+9760491520x9y18+20101452800x10y18+34140221440x11y18+47727513600x12y18+54613770240x13y18+50644746240x14y18+37467586560x15y18+21591490560x16y18+9338880000x17y18+2851471360x18y18+547880960x19y18+49807360x20y18+20y19+780xy19+14440x2y19+168720x3y19+1395360x4y19+8682240x5y19+42170880x6y19+163722240x7y19+515973120x8y19+1332930560x9y19+2837852160x10y19+4987740160x11y19+7223623680x12y19+8573091840x13y19+8255569920x14y19+6350438400x15y19+3810263040x16y19+1718353920x17y19+547880960x18y19+110100480x19y19+10485760x20y19+y20+40xy20+760x2y20+9120x3y20+77520x4y20+496128x5y20+2480640x6y20+9922560x7y20+32248320x8y20+85995520x9y20+189190144x10y20+343982080x11y20+515973120x12y20+635043840x13y20+635043840x14y20+508035072x15y20+317