山东大学基础数学与应用数学专业本科生培养方案

数学与应用数学培养方案（070101）（MathematicsandAppliedMathematics070101）一、专业简介（Ⅰ、MajorIntroduction）数学与应用数学专业的专业方向有：基础数学和应用数学。本专业十分重视学生数学基础知识和专业基础知识的学习，注重对他们的创造性和创新能力的培养，为培养高级数学专业人才打好基础。经过四年学习，使学生初步具备在基础数学或应用数学某个方向从事当代学术前沿问题研究的能力。毕业后能从事数学及相关学科的教学和科学研究工作，并可继续深造，到高等学校或科研机构的基础数学、应用数学及其他交叉学科做研究生。Themajor(MathematicsandAppliedMathematics)havetwobranches:PureMathematicsandAppliedMathematics.Themajorfocusteachingonbothbasicandprofessionaltheoryofmathematics,andiscommittedtocultivatingthehigh-levelmathematicaltalentswiththeinnovativeandcreativeability.Afterfour-years-study,thestudentsshouldhaveresearchingabilityforacademicopenproblemsinsomedirectionsofpureorappliedmathematics.Whenthestudentsinthemajorgraduate,theycanteachorstudymathematicsandrelatedsubjects,ortheycanbepostgraduatestudentsofuniversitiesorinstitutesinPureMathematicsorAppliedMathematicsorsomeotherrelatedbranches.二、培养目标（Ⅱ、CultivationObjective）培养掌握数学科学的基本理论与基本方法,具有运用数学知识或使用计算机解决实际问题的能力，受到科学研究训练的高级专门人才，能在科技、教育、经济和企事业等部门从事研究、教学工作或在生产经营及管理部门从事实际应用、开发研究和管理工作，或能继续攻读研究生学位。Thecultivationobjectiveofthemajor(MathematicsandAppliedMathematics)istocultivatethestudentssothattheycanmasterfundamentaltheoryandmethodsofmathematicalsciences,areabletosolvepracticalproblemsbyusingmathematicalknowledgeorcomputers,andareprofessionaltalentsofhighlevelwithabilityofscientificresearch.Thestudentsareexpectedtohaveexperienceofresearchesandteachingindepartmentsofscienceandtechnology,education,economy,enterprisesorothers,ortohaveexpertiseofpracticalapplications,developingresearches,managementindepartmentsofproductionandmanagement,orbeabletocontinuetopursuepostgraduatedegrees.三、培养要求（Ⅲ、CultivationRequirement）贯彻“面向工程、宽基础、系，提高学生的专业技能。本专业学生主要学习数学和应用数学的基本理论、基本方法，受到数学建模、计算机和数学软件、程序设计和计算方法等方面的基本训练，在数学理论和它的应用两方面都受到良好的教育，具有较高的科学素养和较强的创新意识，具有科学研究、教学、解决实际问题及软件开发等方面的基本能力和较强的更新知识的能力。强能力、重应用”的培养方针，探索建立专业拓展方向及相应课程体Themajor(MathematicsandAppliedMathematics)implementscultivatingpoliciesofthe"orientingproject,basewidened,capacitystrengthened,focusingapplication",explorestoestablishprofessionaldevelopmentdirectionsandcorrespondingcurriculums,andimprovesprofessionalskillsofstudents.Thestudentsinthemajormainlystudyfundamentaltheoryandbasicmethodsofmathematicsandappliedmathematics;areelementarilytrainedbymathematicalmodeling,computers,mathematicalsoftware,programdesign,computingmethods,andsoon;arewelleducatedbymathematicaltheoryanditsapplications;possessscientificqualityofhighlevelandstrongsenseofinnovation;andpossessbasicskillsandstrongabilityupdatingtheirknowledgeinscientificresearch,teaching,solvingpracticalproblemsandsoftwaredevelopment.1四、学制与学位（Ⅳ、SchoolingPeriodandDegree）学制四年。按计划要求完成学业者，授予理学学士学位。SchoolingPeriod:4yearsStudentswhocompleteallrequiredcourseswillbeconferredthebachelor’sdegree.五、学时与学分SchoolingHoursandCredits)(Ⅴ、144(TotalCredits：144)/学分：2224/133.5占总学分的比例：(CurriculumClassHours/Credits：2224/133.5PercentageinTotalCredits：92%)总学分：课程教学学时92％六、专业主干课程(Ⅵ、MainCourses)数学分析、解析几何、高等代数、常微分方程、概率论、复变函数、实变函数、数学物理方程、数理统计、数学模型。MathematicsAnalysis,AnalyticGeometry,AdvancedLinearAlgebra,OrdinaryDifferentialEquations,Probability,FunctionsofComplexVariables,FunctionsofRealVariables,DifferentialEquationsinMathematicsandPhysics,Statistics,Mathematicalmodeling.七、主要专业实验和实习安排（Ⅶ、MainLaboratoryandPractice）数学与应用数学专业的学生主要有计算机编程、物理实验、数学实验，其中数学类实验结合数学建模与数学软件进行。Mainexperimentsofthemajor(MathematicsandAppliedMathematics)includecomputerprogramming,physicalexperiments,andmathematicalexperiments,wheremathematicalexperimentsincludeusesofmathematicalmodelingandmathematicalsoftware.八、专业优势及特色MajorPredominanceandCharacteristics)(Ⅷ、具有一支治学严谨、研究领域广泛、实力雄厚的师资队伍，在“基础数学及其应用”的研究上具有非常突出的专业优势。其中，“现代数论和表示论”、“椭圆曲线与安全计算理论”和“现代分析向中的多个研究领域处于国际领先水平。2007年被认定为“国家重点学科”。本专业注重科研与教学相结合，坚持实行名师学者、教授博导上讲台，请教学经验丰富、长期教学效果一流的名师担纲重要的基础课教学；请优秀学者设计高级特色课程并主讲，突出自身优势”等方学科并帮助学生在相关领域迅速成长；请活跃的青年学者主持重要新兴领域的相关课程学习，指导优秀学生在这些领域的研讨班，调动其主观能动性，并提供给他们一些有益的科研创新经历和体验。同时，坚持定期邀请国际知名学者，特别是一些重要新兴领域的权威专家，来给学生介绍其相关学科的基本概况及最新进展，使其了解当前数学与应用数学领域的基本形势，为以后的数学理论研究与应用打下坚实的基础。Themajor(MathematicsandAppliedMathematics)possessesstaffmembersofrigorousscholarship,extensiveresearchfieldsandfamousacademicachievements;hasveryprominentprofessionaladvantageintheresearchof"BasicMathematicsandItsApplications";locatedoninternationaladvancedlevelforsomeresearchworkson"ModernNumberTheoryandRepresentationTheory","EllipticCurvesandSecureComputing","ModernAnalysis"andanumberofresearchareas;andwasidentifiedas"NationalKey2Subject"in2007.Themajoremphasizescombiningresearchwithteaching;insisttoteachstudentsbyfamousteacherconcludingscholars,professors,advisorsofdoctoralpostgraduates;invitefamousteacherwithrichteachingexperienceandlong-termfirst-classteachingeffectstolectureimportantbasiccourse;inviteoutstandingseniorprofessorstodesignandlectureadvancedspecialcourses,highlightingitselfadvantagesubjectandhelpstudentstogrowrapidlyintherelevantfields;andinviteactiveyoungscholarstopresideoverstudyofrelatedcoursesinimportantemergingfield,toguideseminarsofbeststudentsintheseareas,tomobilizeinitiativeofstudents,andtoprovidestudentswithsomeusefulexperienceofresearchandinnovation.Atthesametime,themajoradherestoregularlyinviteinternationallyrenownedscholars,especiallyleadingexpertsinsomeemergingimportantareas,tointroducebasicprofilesandlatestprogressinrelatedsubjectssuchthatstudentscanunderstandbasicsituationsincurrentfieldsofMathematicsandAppliedMathematicsandlayasolidfoundationforthefutureresearchandapplicationsofmathematicstheory.九、各类课程学时学分比例（Ⅸ、ProportionofSchoolingHoursandCredits）基础数学方向(PureMathematics)课程类别学分32学时占总学分百分比通识教育必修课程学科基础平台课程专业平台课程113.5专业方向基础课实践环节7711928803369周1609622%8%11必修21794579%21%31%14%4%+9周20.55通识教育核心课程通识教育选修课程30.5专业方向选修课程毕业要求总合计107%选修65124%14.514425610%2691+9周100%应用数学方向(AppliedMathematics)课程类别学分32学时占总学分百分比通识教育必修课程学科基础平台课程专业平台课程114.5专业方向基础课实践环节7711928803689周1609622%8%11必修22114580%20%31%15%4%+9周21.55通识教育核心课程通识教育选修课程29.5专业选修课程毕业要求总合计107%选修64964%13.51442409%2707+9周100%十、教学进程、学时学分总体安排（见下表）（Ⅹ、Curriculum,SchoolingHoursandCredits）数学与应用数学专业课程设置及学时分配表[总表]3总学时按学期周学时分配类性学总分配课程号课程名称CourseName备注一二三四五六七八Notes分学授实上CourseNo.别质数时学学学学学学学学课验机期期期期期期期期中国化的马克思主义ChineseMarxism道德与法律28050001358483课外10280300012804000133584858483课外10MoralsandLaw马克思主义原理BasicPrinciplesofMarxism中国近现代史纲要31课外10BriefofChina'sModernHistory1.529241.5课外5通识310020大学英语(二级起点1-3)（1-3）4CollegeEnglish(1-3)94224096962+22+22+2自主学习48教必育修必课290410体育(1-4)（1-4）0PhysicalEducational(1-4)12812832321211大学计算机基础IntroductionofComputer修程13103000课程计算机技术基础FoundationofComputerTechnologies3264323232162+2军事理论MilitaryTheory6900100121形势政策与社会实践(1-6)Trend,PolicyandSocialPractice(1-6)1.572241111114课外48小计Subtotal3277151296329+29+44+25课外131国学修养类课组号TraditionalChineseCultureGroup22323232322创新创业类InnovationandEntrepreneurshipEducationGroup艺术审美类ArtAesthetic通识课组号教必修2育核课组号22232323232323224心人文学科类HumanitiesGroup社会科学类SocialSciencesGroup小计课组号224课选理工类必修程修课组号课程101601602Subtotal通识教育选修课程通识教育选修课GeneralEducationSelective6696969696222222小计Subtotal100160(1-2)0大学物理ⅠCollegePhysicsⅠ812128128324141学必大学物理实验CollegePhysicsLab100161032科修基课础程大学化学ⅣCollegeChemistryⅣ323222平台大平台课程小计Subtotal1119216032554课090990数学分析（1-3）程(1-3)016256256MathematicalAnalysis（1-3）4+15+14+1090440高等代数（1-2）9144144646444+14(1-2)1AdvancedAlgebra（1-2）解析几何409064001AnalyticalGeometry常微分方程09018000OrdinaryDifferentialEquations复变函数464644409038001FunctionofComplexVariable实变函数0908800044464646464646444RealFunctionTheory概率论09040000ProbabilityTheory小平台课程小计Subtotal4588088012+19+212+18“基础数学方向”专业基础课组20.533613206812+1表二FundamentalMathematicCompulsoryGroup“应用数学方向”专业基础课组21.5368432083+127+18+1表三3/3/6/2+1/AppliedMathematics专选业修课课程程CompulsoryGroup“基础数学方向”选修课组14.5/256/208/48/77.51312681441FundamentalMathematicElectiveGroup8+3表二表三表四15734+39+3“应用数学方向”选修课组13.5/240/192/48/AppliedMathematicsElective77.51311268144Group3/3/5/2+1/8+315734+39+3平台选修课组Platformelectivecoursegroup1016012832624军训69002001MilitaryTraining03周3周实必践修毕业论文GraduationThesis09009502活课动程56周59周6周合计3周6周269125+314423361289623+623+3119421+182+1（基础数学）合计Total+9周+3周+6周270725+3144232012812823+626+4211713+1+172+1（应用数学）合计Total+9周+3周+6周备注：1.本表必修课部分为专业（大类）必修课（所有学生必须学习的）课程设置表，即综合教务系统中的课程计划表。2.选修课部分为课组设置表，即综合教务系统中的课组计划表。3.课程号栏目中必修课部分为课程号，选修课部分为课组号。基础数学方向的专业课程设置及学时分配表(课组课程)[表二]课组号总学时分配按学期周学时分配学总授实上一二三四五六七八类性课程号CourseCoursegroup课程名称CourseName分学专业课组名称学学学学学学学学Specialized课验机期期期期期期期期别质No.数时numbergroupname拓扑学Topology46464409010091260005专选业修必课修程课组计算方法ComputationalMethods近世代数ModernAlgebra数理方程09092000MathematicsEquationinPhysics泛函分析4.58064164+14090100905500109066000444646464646464440901109033000FunctionalAnalysis小计Subtotal20.533613206812+1数据库与数据结构4DatabaseandDataStructure640901109091000644数学实验MathematicsLab微分几何244323264646464209010090110901109104000091300004DifferentialGeometry数论基础409095000BasicsofNumberTheoryC++程序语言C++ProgrammingLanguage3.564090109010090110900100009131001090590024832321616163+1计算机原理2.548PrinciplesofComputer2+1计算机网络技术ComputerNetworkTechnology数学内容方法和意义2.5.482+1MathematicsContentMethodandMeaning23209011091030003222基础数学PureMathematicsLinux操作系统LinuxOperatingSystem专业选修课组3.56409011090110901109011090110901109190000091650000900200009107000090650000916200048324864643216163+13+1数学史HistoryofMathematics232FoxPro数据库系统FoxProDatabaseSystem3.564数学专题TopiconMathematics44646444金融数学FinancialMathematicsJava语言JavaLanguage2.548162+1数学前沿讲座（ForefrontLecturesonMathematics（1-2）1-2）24332090110901109011091670003211数学模型MathematicalModels09101001646448484代数表示论09189000AlgebraRepresentationTheory348/14.5/256/208/77.513121681443/3/6/2+1/小计Subtotal8+315734+39+3应用数学方向的专业课程设置及学时分配表(课组课程)[表三]类性课组号课程号课程名称学总总学时分配按学期周学时分配专业课组名称6Course别质groupnumberCourseNo.CourseName分学授实上一二三四五六七八学学学学学学学学groupname课验机期期期期期期期期Specialized数时数学实验MathematicsLab计算方法232322090100901009104000090550014.580643.5644816164+1ComputationalMethodsC++程序语言C++ProgrammingLanguage专业必修课组3+10901009001000应用数学AppliedMathematics数理方程09092000MathematicsEquationinPhysics44646464644泛函分析FunctionalAnalysis应用统计方法409033000091470003.56448163+109013AppliedStatistics小计Subtotal21.5368432083+127+18+1Fortran语言FortranLanguage力学基础BasicsofMechanics拓扑学Topology2.548324646464162+109013090130901009163000644090740000912600044计算机网络技术ComputerNetworkTechnology2.548090110901309013090590020900200009129000321616162+1FoxPro数据库系统FoxProDatabaseSystem3.564483+1选修课微分方程数值解NumericalSolutionsof4.58064DifferentialEquations4+1程计算机图形学ComputerGraphics3448486464309013090130905700009107000数学专题TopiconMathematics42专业选修数学内容方法和意义MathematicsContentMethodandMeaning23232090130910300009190000Linux操作系统LinuxOperationSystem3.56464642.54832322.5483209011090130901009013090134816163+12+1课组数据库与数据结构09091000DatabaseandDat