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武汉理工大学考博2014数值分析真题

武汉理工大学考博2014数值分析真题

一、一个4*4的矩阵利用直接三角分解求解方程组

二、一个2*2矩阵,,证明迭代法解线性方程组收敛的充分必要条件是122

112112

四、已知五个点,写出其牛顿前插多项式

五、判断一个方程在[0,1]范围内有根,利用二分法求其根,确定二分次数以满足误差小于

0.5*10-4。

六、求2)(x x f =在[-1,1]内对},1{x =Φ的最佳平方逼近。

七、为使某求积公式具有最好的代数精度,求参数值(2121,,,A A x x )

八、就初值问题0)0(,'=+=y b ax y ,利用欧拉公式求近似解,并与准确解比较求其误差。

这些题目都是非常基础的题目,我之前还在背那些很复杂的公式,看来没必要,不过不能保证以后不出哦。

之前在网上找不到考博数学的真题,完全不知道会是什么难度,所以想着自己考完了把这些题目回忆一下,供大家参考。

同济大学数值分析matlab编程题汇编

MATLAB 编程题库 1.下面的数据表近似地满足函数2 1cx b ax y ++=,请适当变换成为线性最小二乘问题,编程求最好的系数c b a ,,,并在同一个图上画出所有数据和函数图像. 625 .0718.0801.0823.0802.0687.0606.0356.0995 .0628.0544.0008.0213.0362.0586.0931.0i i y x ---- 解: x=[-0.931 -0.586 -0.362 -0.213 0.008 0.544 0.628 0.995]'; y=[0.356 0.606 0.687 0.802 0.823 0.801 0.718 0.625]'; A=[x ones(8,1) -x.^2.*y]; z=A\y; a=z(1); b=z(2); c=z(3); xh=-1:0.1:1; yh=(a.*xh+b)./(1+c.*xh.^2); plot(x,y,'r+',xh,yh,'b*')

2.若在Matlab工作目录下已经有如下两个函数文件,写一个割线法程序,求出这两个函数 10 的近似根,并写出调用方式: 精度为10 解: >> edit gexianfa.m function [x iter]=gexianfa(f,x0,x1,tol) iter=0; while(norm(x1-x0)>tol) iter=iter+1; x=x1-feval(f,x1).*(x1-x0)./(feval(f,x1)-feval(f,x0)); x0=x1;x1=x; end >> edit f.m function v=f(x) v=x.*log(x)-1; >> edit g.m function z=g(y) z=y.^5+y-1; >> [x1 iter1]=gexianfa('f',1,3,1e-10) x1 = 1.7632 iter1 = 6 >> [x2 iter2]=gexianfa('g',0,1,1e-10) x2 = 0.7549 iter2 = 8

2015年四川大学考博《英语》真题及详解

2015年四川大学考博《英语》真题 (总分:100.00,做题时间:180分钟) 一、ⅠReadingComprehension 二、Passage1 Speechissofamiliarafeatureofdailylifethatwerarelypausetodefineit.Itseemsasnatural tomanaswalkingandonlylesssothanbreathing.Yetitneedsbutamoment'sreflectiontoconvinceus thatthisnaturalnessofspeechisbutanillusoryfeeling.Theprocessofacquiringspeechis,insob erfact,anutterlydifferentsortofthingfromtheprocessoflearningtowalk.Inthecaseofthelatt erfunction,culture,inotherwords,thetraditionalbodyofsocialusage,isnotseriouslybrought intoplay.Thechildisindividuallyequipped,bythecomplexsetoffactorsthatwetermbiologicalh eredity,tomakealltheneededmuscularandnervousadjustmentsthatresultinwalking.Indeed,the veryconformationofthesemusclesandoftheappropriatepartsofthenervoussystemmaybesaidtobe primarilyadaptedtothemovementsmadeinwalkingandinsimilaractivities.Inaveryrealsense,th enormalhumanbeingispredestinedtowalk,notbecausehiselderswillassisthimtolearnthear t,butbecausehisorganismispreparedfrombirth,orevenfromthemomentofconception,totake onallthoseexpendituresofnervousenergyandallthosemuscularadaptationsthatresultinwalkin g.Toputitconcisely,walkingisaninherent,biologicalfunctionofman. Notsolanguage.Itisofcoursetruethatinacertainsensetheindividualispredestinedtotalk ,butthatisdueentirelytothecircumstancethatheisbornnotmerelyinnature,butinthelapofasoc ietythatiscertain,reasonablycertain,toleadhimtoitstraditions.Eliminatesocietyandthere iseveryreasontobelievethathewilllearntowalk,if,indeed,hesurvivesatall.Butitisjustasce rtainthathewillneverlearntotalk,thatis,tocommunicateideasaccordingtothetraditionalsys temofaparticularsociety.Or,again,removethenew-bornindividualfromthesocialenvironmenti ntowhichhehascomeandtransplanthimtoanutterlyalienone.Hewilldeveloptheartofwalkinginhi snewenvironmentverymuchashewouldhavedevelopeditintheold.Buthisspeechwillbecompletelya tvariancewiththespeechofhisnativeenvironment.Walkingthenisageneralhumanactivitythatva riesonlywithinarestrictedlimitaswepassfromindividualtoindividual.Itsvariabil ityispurposeless.Speechisahumanactivitythatvarieswithoutassignablelimitaswepassfr omsocialgrouptosocialgroup,becauseitisapurelyhistoricalheritage,theproductoflong-cont inuedsocialusage.Itvariesasallcreativeeffortvaries-notasconsciously,perhaps,butnoneth elessastrulyasdothereligions,thebeliefs,thecustoms,andtheartsofdifferentpeoples.Walki ngisanorganic,instinctivefunction,speechisanon-instinctive,acquired,"cultural"functio n. (1).ThefirstsentenceofParagraphTwo,"Notsolanguage"istheclosestinmeaningto______. " A.thisisnotthecasewithlanguage " B.soislanguageandnotanythingelse " C.nosuchathingexistsinlanguage " D.notsomuchwithlanguage A.√ B. C. D. 解析:细节推理题。Notsolanguage承接首段的最后一句话,将language与walking进行对比,上文提及"行走是人类与生俱来的一种生物功能",而语言则不是。选项A与文中的意思最接近。故答案为A。

2019年武汉理工大学能源与动力工程学院博士研究生复试

序号考生姓名考生报名号外语成绩 (百分制) 笔试成绩 (百分制) 面试成绩 (百分制) 总成绩 (百分制) 备注 1陈峰1049799870659095.6388.50 2程小东1049799650549390.7586.25 3董一鸣1049799030388685.2578.50 4何书贤1049799206539391.5086.40 5侯莉莉1049799866628794.5086.25 6黄勇1049799963478192.6780.57 7季亦双1049799973468695.3383.73 8李迟1049798880617993.1781.97 9李龙1049798972000.000.00 10楼彤1049799591659294.6789.02 11吕长朋1049799737528695.8384.83 12毛鑫1049799720488697.5084.90 13穆孟超10497991420870.0039.15 14饶响1049799496469296.3386.83 15阮智邦1049799126498692.6783.12 16陶倩文1049799099599193.8887.35 17陶威1049799685548792.2584.15 18田一泽1049799035398392.0080.00 19王斌1049799645658891.5085.95 20王晨1049798984387187.2572.55 21王蒙1049799236608291.0082.30 22王玉刚1049799505648889.2584.90 23吴勇1049799146318491.6379.10 24席中仙1049799918648894.1786.87 25杨安声1049799109408292.1779.77 2019年武汉理工大学能源与动力工程学院博士研究生复试成绩公示

武汉理工大学艺术学理论博士研究生培养方案

艺术学理论博士研究生培养方案 (学科代码:1301) (本方案适用于硕士毕业攻读博士研究生) 一、方案适用学科、专业 一级学科:艺术学理论(1301) 二、培养目标 本专业培养从事适应社会经济与文化、艺术发展的艺术理论研究、艺术教育、艺术管理、艺术审美,具有钻研精神并掌握系统艺术理论研究方法的高级专门人才。 1、努力学习与掌握马列主义、毛泽东思想、邓小平建设有中国特色社会主义理论理论,坚持党的基本路线,热爱祖国、遵纪守法,具有良好个人品质与社会公德,团结合作精神,坚持真理与刻苦钻研的学术品质,积极为社会主义现代化建设服务。 2、必须在本门学科上掌握坚实的基础理论和系统的人文科学专门知识,熟悉本领域国际前沿与动态,掌握二门外国语,具有独立从事科学研究和艺术历史、研究理论研究、艺术策划与管理工作的能力,做出创造性的成果,具备学科带头人的素质。 3、积极参加体育锻炼与社会活动,保持健康的体魄与良好的心里素质。 三、研究方向 1艺术史论2艺术美学及其历史 3艺术教育4艺术管理 5动画艺术及其理论 四、学习年限与学分 全日制攻读博士学位的研究生学制为3年。学习年限一般为3~4年(在职攻读博士学位的研究生可延长至6年),实行学分制,总学分不低于16学分,其中课程总学分不低于12学分,学位课程学分不低于10学分,必修环节不低于4学分。 五、课程设置

注:1.其他院系课程,可在导师指导下选修;2. 博士生在硕士阶段如已经选修第二外国语,则在博士阶段可不选第二外国语,否则,第二外国语为必选课。 六、科学研究及相关要求 1、制定个人培养计划 研究生2周内,在导师指导下完成个人培养计划。内容包括:课程选修计划,课题研究方向与学习进度安排,文献阅读计划。重点培养博士研究生在本领域独立的科研能力。 2、论文、设计作品与阅读 1)博士研究生发表论文符合研究生手册《博士研究生申请学位发表论文的规定》的相关要求; 2)在指导师指导下,阅读专业图书文献不少于80本,其中外文文献不少于25篇,写出读书笔记。 3、设计实践(由导师根据学生完成情况给予1学分) 1)在导师指导下完成导师制定的研究课题; 2)在导师指导下完成专业实习与设计实践。 4、博士生论文开题及中期检查(由导师根据学生完成情况给予1学分) 1)每年开题时间为二次(3月底、10月底) 2)博士生开题报告应包括文献检索情况、学位论文选题依据、论文研究方案、预期达到的目标、预期的研究成果、论文详细工作进度安排等。(PPT讲述时间25分钟,提问时间5分钟)开题报告经评审不通过者,应限期组织第二次开题,由原评审小组组织重新评审;仍未通过者终止培养。开题报告通过后,若学位论文课题有重大变动,应重新作开题报告。 5、学术活动 博士生在学期间应积极参加本学科领域内的各类学术报告会、研讨会,并就个人方向范围内至少作一次报告(不含开题报告)。 要求参加10次以上的一级或二级学科的学术活动。每次应有不少于l000字的小结。经

同济大学数值分析matlab编程题汇编

MATLAB 编程题库 1.下面的数据表近似地满足函数2 1cx b ax y ++= ,请适当变换成为线性最小二乘问题,编程求最好的系数c b a ,,,并在同一个图上画出所有数据和函数图像. 625 .0718.0801.0823.0802 .0687 .0606 .0356 .0995.0628.0544.0008.0213.0362.0586.0931.0i i y x ---- 解: x=[-0.931 -0.586 -0.362 -0.213 0.008 0.544 0.628 0.995]'; y=[0.356 0.606 0.687 0.802 0.823 0.801 0.718 0.625]'; A=[x ones(8,1) -x.^2.*y]; z=A\y; a=z(1); b=z(2); c=z(3); xh=-1:0.1:1; yh=(a.*xh+b)./(1+c.*xh.^2); plot(x,y,'r+',xh,yh,'b*')

2.若在Matlab工作目录下已经有如下两个函数文件,写一个割线法程序,求出这两个函数 10 的近似根,并写出调用方式: 精度为10 >> edit gexianfa.m function [x iter]=gexianfa(f,x0,x1,tol) iter=0; while(norm(x1-x0)>tol) iter=iter+1; x=x1-feval(f,x1).*(x1-x0)./(feval(f,x1)-feval(f,x0)); x0=x1;x1=x; end >> edit f.m function v=f(x) v=x.*log(x)-1; >> edit g.m function z=g(y) z=y.^5+y-1; >> [x1 iter1]=gexianfa('f',1,3,1e-10) x1 = 1.7632 iter1 = 6 >> [x2 iter2]=gexianfa('g',0,1,1e-10) x2 = 0.7549 iter2 = 8

同济大学博士研究生培养方案

建设管理系2011年博士培养方案 管理科学与工程(工学门类) (2011年7月修订) 一、适用学科、专业: 管理科学与工程(一级学科,工学门类) 本一级学科不设二级学科,此方案适用于建设项目管理、房地产经济与管理研究方向,授工学学位。 二、学制年限 直博生和提前攻博生4-5年,普博生一般为3年,在职博士生可适当延长。 三、培养计划制定的主要原则与内容 博士生的培养计划包括课程学习计划和论文工作计划两部分。课程学习计划由:(1)公共必修课程;(2)学科专业要求的必修和限选课;(3)必修环节等组成。对外校及本校其他专业考入的博士生还需制定补修课程的具体内容及进度安排。课程学习计划一般在入学三周内在导师指导下完成,论文工作计划在博士生进行文献综述与选题报告时完成。 培养计划应考虑学科发展趋势的需要及研究生的具体情况,并使计划在以下几个方面得到充分的综合平衡:(1)管理科学的基础理论;(2)适当宽度和深度的建设与房地产管理专业知识;(3)一定的工程管理实践、计量经济模型计算、设计能力;(4)科学研究工作各主要环节所需的能力;(5)必要的相邻学科知识。 四、培养环节 博士生培养包括课程学习,资格考试,文献综述与选题报告,论文工作,最终学术报告,论文答辩等环节。 1、文献综述与选题报告 博士生应在导师指导下查阅文献资料,深入调查研究,确定具有理论和实践意义的具体课题,并尽早完成选题报告。选题报告应包括选题背景、文献综述、选题及其意义、研究目的、主要研究内容、技术路线和研究方法、工作特色及难点、预期成果及可能的创新点、论文工作计划等。文献综述应阅读不少于30篇与学位论文有关,且反映所研究内容最新状况的文献,其中50%应为外文文献。选题报告会应在二级(或一级)学科范围内相对集中、公开地进行,并以博士生导师为主的不少于3名教授(含导师)参加,并吸收有关教师和研究生参加。跨学科的论文选题应聘请相关学科的导师参加。若学位论文课题有重大变动,应重新作选题报告,以保证课题的前沿性和创新性。评审通过的选题报告,应以书面形式交系研究生业务办备案。 论文选题可由学生自己选题,也可结合指导教师的科研任务进行。鼓励博士生自己选择具有创新性的研究课题。研究生学位论文选题应紧密结合指导教师的研究方向和学术专长,从事交叉学科课题研究的学生应申请联合指导教师,学生应选择指导教师熟悉的研究领域从事学位论文工作。 选题报告时间由指导教师自行决定,但距离申请答辩的日期不少于12个月。 2、资格考试 资格考试在课程学习结束后进行,由系统一安排。按照土木工程学位分委员会《关于博士生资格考试规定》实施。

武汉理工大学第四届学位评定委员会第二次会议授予博士、硕士学位公告

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