山東大學(xué)基礎(chǔ)數(shù)學(xué)與應(yīng)用數(shù)學(xué)專業(yè)本科生培養(yǎng)方案

數(shù)學(xué)與應(yīng)用數(shù)學(xué)培育方案〔070101〕〔MathematicsandAppliedMathematics070101〕數(shù)學(xué)與應(yīng)用數(shù)學(xué)專業(yè)的專業(yè)方向有：根底數(shù)學(xué)和應(yīng)用數(shù)學(xué)。本專業(yè)格外重視學(xué)生數(shù)學(xué)根底學(xué)問和專業(yè)根底學(xué)問的學(xué)習(xí)，留意對(duì)他們的制造性和創(chuàng)力量的培育，為培育高級(jí)數(shù)學(xué)專業(yè)人才打好根底。經(jīng)過四年學(xué)習(xí)，使學(xué)生初步具備在根底數(shù)學(xué)或應(yīng)用數(shù)學(xué)某個(gè)方向從事當(dāng)代學(xué)術(shù)前沿問題爭(zhēng)論的力量。畢業(yè)后能從事數(shù)學(xué)及相關(guān)學(xué)科的教學(xué)和科學(xué)爭(zhēng)論工作，并可連續(xù)深造，到高等學(xué)?；蚩蒲袡C(jī)構(gòu)的根底數(shù)學(xué)、應(yīng)用數(shù)學(xué)及其他穿插學(xué)科做爭(zhēng)論生。Themajor(MathematicsandAppliedMathematics)havetwobranches:PureMathematicsandAppliedMathematics.Themajorfocusteachingonbothbasicandprofessionaltheoryofmathematics,andiscommittedtocultivatingthehigh-levelmathematicaltalentswiththeinnovativeandcreativeability.Afterfour-years-study,thestudentsshouldhaveresearchingabilityforacademicopenproblemsinsomedirectionsofpureorappliedmathematics.Whenthestudentsinthemajorgraduate,theycanteachorstudymathematicsandrelatedsubjects,ortheycanbepostgraduatestudentsofuniversitiesorinstitutesinPureMathematicsorAppliedMathematicsorsomeotherrelatedbranches.培育把握數(shù)學(xué)科學(xué)的根本理論與根本方法,具有運(yùn)用數(shù)學(xué)學(xué)問或使用計(jì)算機(jī)解決實(shí)際問題的能力，受到科學(xué)爭(zhēng)論訓(xùn)練的高級(jí)特地人才，能在科技、教育、經(jīng)濟(jì)和企事業(yè)等部門從事爭(zhēng)論、教學(xué)工作或在生產(chǎn)經(jīng)營(yíng)及治理部門從事實(shí)際應(yīng)用、開發(fā)爭(zhēng)論和治理工作，或能連續(xù)攻讀爭(zhēng)論生學(xué)位。Thecultivationobjectiveofthemajor(MathematicsandAppliedMathematics)istocultivatethestudentssothattheycanmasterfundamentaltheoryandmethodsofmathematicalsciences,areabletosolvepracticalproblemsbyusingmathematicalknowledgeorcomputers,andareprofessionaltalentsofhighlevelwithabilityofscientificresearch.Thestudentsareexpectedtohaveexperienceofresearchesandteachingindepartmentsofscienceandtechnology,education,economy,enterprisesorothers,ortohaveexpertiseofpracticalapplications,developingresearches,managementindepartmentsofproductionandmanagement,orbeabletocontinuetopursuepostgraduatedegrees.三、培育要求〔Ⅲ、CultivationRequirement〕貫徹“面對(duì)工程、寬根底、強(qiáng)力量、重應(yīng)用”的培育方針，探究建立專業(yè)拓展方向及相應(yīng)課程體系，提高學(xué)生的專業(yè)技能。本專業(yè)學(xué)生主要學(xué)習(xí)數(shù)學(xué)和應(yīng)用數(shù)學(xué)的根本理論、根本方法，受到數(shù)學(xué)建模、計(jì)算機(jī)和數(shù)學(xué)軟件、程序設(shè)計(jì)和計(jì)算方法等方面的根本訓(xùn)練，在數(shù)學(xué)理論和它的應(yīng)用兩方面都受到良好的教育，具有較高的科學(xué)素養(yǎng)和較強(qiáng)的創(chuàng)意識(shí)，具有科學(xué)爭(zhēng)論、教學(xué)、解決實(shí)際問題及軟件開發(fā)等方面的根本力量和較強(qiáng)的更學(xué)問的力量。Themajor(MathematicsandAppliedMathematics)implementscultivatingpoliciesofthe“orientingproject,basewidened,capacitystrengthened,focusingapplication“,explorestoestablishprofessionaldevelopmentdirectionsandcorrespondingcurriculums,andimprovesprofessionalskillsofstudents.Thestudentsinthemajormainlystudyfundamentaltheoryandbasicmethodsofmathematicsandappliedmathematics;areelementarilytrainedbymathematicalmodeling,computers,mathematicalsoftware,programdesign,computingmethods,andsoon;arewelleducatedbymathematicaltheoryanditsapplications;possessscientificqualityofhighlevelandstrongsenseofinnovation;andpossessbasicskillsandstrongabilityupdatingtheirknowledgeinscientificresearch,teaching,solvingpracticalproblemsandsoftwaredevelopment.1四、學(xué)制與學(xué)位〔Ⅳ、SchoolingPeriodandDegree〕學(xué)制四年。按打算要求完成學(xué)業(yè)者，授予理學(xué)學(xué)士學(xué)位。SchoolingPeriod:4yearsStudentswhocompleteallrequiredcourseswillbeconferredthebachelor’sdegree.五、學(xué)時(shí)與學(xué)分(Ⅴ、SchoolingHoursandCredits)總學(xué)分：144(TotalCredits：144)課程教學(xué)學(xué)時(shí)/學(xué)分：2224/133.5 占總學(xué)分的比例：92％(CurriculumClassHours/Credits：2224/133.5 PercentageinTotalCredits：92%)六、專業(yè)主干課程(Ⅵ、MainCourses)數(shù)學(xué)分析、解析幾何、高等代數(shù)、常微分方程、概率論、復(fù)變函數(shù)、實(shí)變函數(shù)、數(shù)學(xué)物理方程、數(shù)理統(tǒng)計(jì)、數(shù)學(xué)模型。MathematicsAnalysis,AnalyticGeometry,AdvancedLinearAlgebra,OrdinaryDifferentialEquations,Probability,FunctionsofComplexVariables,FunctionsofRealVariables,DifferentialEquationsinMathematicsandPhysics,Statistics,Mathematicalmodeling.七、主要專業(yè)試驗(yàn)和實(shí)習(xí)安排〔Ⅶ、MainLaboratoryandPractice〕數(shù)學(xué)與應(yīng)用數(shù)學(xué)專業(yè)的學(xué)生主要有計(jì)算機(jī)編程、物理試驗(yàn)、數(shù)學(xué)試驗(yàn)，其中數(shù)學(xué)類試驗(yàn)結(jié)合數(shù)學(xué)建模與數(shù)學(xué)軟件進(jìn)展。Mainexperimentsofthemajor(MathematicsandAppliedMathematics)includecomputerprogramming,physicalexperiments,andmathematicalexperiments,wheremathematicalexperimentsincludeusesofmathematicalmodelingandmathematicalsoftware.八、專業(yè)優(yōu)勢(shì)及特色(Ⅷ、MajorPredominanceandCharacteristics)具有一支治學(xué)嚴(yán)謹(jǐn)、爭(zhēng)論領(lǐng)域廣泛、實(shí)力雄厚的師資隊(duì)伍，在“根底數(shù)學(xué)及其應(yīng)用”的爭(zhēng)論上等方向中的多個(gè)爭(zhēng)論領(lǐng)域處于國(guó)際領(lǐng)先水平。2023年被認(rèn)定為“國(guó)家重點(diǎn)學(xué)科possessesstaffmembersofrigorousscholarship,本專業(yè)留意科研與教學(xué)相結(jié)合，堅(jiān)持實(shí)行名師學(xué)者、教授博導(dǎo)上講臺(tái)，請(qǐng)教學(xué)閱歷豐富、長(zhǎng)期possessesstaffmembersofrigorousscholarship,extensiveresearchfieldsandfamousacademicextensiveresearchfieldsandfamousacademicachievements;hasveryprominentprofessionaladvantageinthetheresearchof“BasicMathematicsandItsApplications“;locatedoninternationaladvancedlevelforsomeresearchresearchworkson“ModernNumberTheoryandRepresentationTheory“,“EllipticCurvesandSecureComputing“,Computing“,“ModernAnalysis“andanumberofresearchareas;andwasidentifiedas“NationalKey2Subject“in2023.Themajoremphasizescombiningresearchwithteaching;insisttoteachstudentsSubject“in2023.withrichteachingexperienceandwithrichteachingexperienceandlong-termfirst-classteachingeffectstolectureimportantbasiccourse;famousteacherconcludingscholars,professors,advisorsofdoctoralinviteinviteoutstandingseniorprofessorstodesignandlectureadvancedspecialcourses,highlightingitselfadvantageadvantagesubjectandhelpstudentstogrowrapidlyintherelevantfields;andinviteactiveyoungscholarstotopresideoverstudyofrelatedcoursesinimportantemergingfield,toguideseminarsofbeststudentsinthesetheseareas,tomobilizeinitiativeofstudents,andtoprovidestudentswithsomeusefulexperienceofscholars,especiallyleadingexpertsinsomeemergingimportantareas,scholars,especiallyleadingexpertsinsomeemergingimportantareas,tointroducebasicprofilesandlatestresearchandinnovation.Atthesametime,progressprogressinrelatedsubjectssuchthatstudentscanunderstandbasicsituationsincurrentfieldsofMathematicsandAppliedMathematicsandMathematicsandAppliedMathematicsandforthefutureresearchandapplicationsofofmathematics九、各類課程學(xué)時(shí)學(xué)分比例〔Ⅸ、ProportionofSchoolingHoursandCredits〕必修選修畢業(yè)要求總合計(jì)必修選修畢業(yè)要求總合計(jì)1442691+9周100%課程類別學(xué)分學(xué)時(shí) 占總學(xué)分百分比通識(shí)教育必修課程32 771 22%學(xué)科根底平臺(tái)課程11 192 8%專業(yè)平臺(tái)課程113.5217945 880 79% 31%專業(yè)方向根底課20.5+9周33614%實(shí)踐環(huán)節(jié)59周4%通識(shí)教育核心課程101607%通識(shí)教育選修課程30.565129621%4%專業(yè)方向選修課程14.525610%必修選修畢業(yè)要求總合計(jì)必修選修畢業(yè)要求總合計(jì)1442707+9周100%課程類別學(xué)分學(xué)時(shí) 占總學(xué)分百分比通識(shí)教育必修課程32 771 22%學(xué)科根底平臺(tái)課程11 192 8%專業(yè)平臺(tái)課程114.5221145 880 80% 31%專業(yè)方向根底課21.5+9周36815%實(shí)踐環(huán)節(jié)59周4%通識(shí)教育核心課程101607%通識(shí)教育選修課程29.564969620%4%專業(yè)選修課程13.52409%十、教學(xué)進(jìn)程、學(xué)時(shí)學(xué)分總體安排〔見下表〔ⅩCurriculum,SchoolingHoursandCredit〕數(shù)學(xué)與應(yīng)用數(shù)學(xué)專業(yè)課程設(shè)置及學(xué)時(shí)安排表 [總表]3類性 課程號(hào)別質(zhì)CourseNo.

課程 名 稱CourseName

備 注學(xué)總學(xué)總安排按學(xué)期周配分學(xué)授實(shí)上一二三四五六七八數(shù)時(shí)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)課驗(yàn)機(jī)期期期期期期期期3584833584833584831.529241.5924096962+22+22+2280500012803000128040001通識(shí) 310020教必〔1-3〕4育修 290410

馬克思主義Chinese Marxism道德與法律Moralsand Law馬克思主義原理BasicPrinciplesofMarxism中國(guó)近現(xiàn)代史綱要BriefofChina”sModernHistoryCollegeEnglish(1-3)體育(1-4)

101010548必課〔1-4〕0修程13103000課程69001001課組號(hào)通識(shí) 教育核 課組號(hào)心

PhysicalEducational(1-4)大學(xué)計(jì)算機(jī)根底IntroductionofComputer計(jì)算機(jī)技術(shù)根底FoundationofComputerTechnologies41284128128111123232236432162+22323221.57224111111483277151296329+29+44+2514131232322MilitaryTheory(1-6)Trend,PolicyandSocialPractice(1-6)小 計(jì)Subtotal國(guó)學(xué)修養(yǎng)類TraditionalChineseCultureGroup創(chuàng)創(chuàng)業(yè)類23232232322232322232322232322101601604246969622269696222812812844132321123232211192160325524EntrepreneurshipEducationGroup藝術(shù)審美類ArtAesthetic人文學(xué)科類課選 課組號(hào)修課 課組號(hào)程通識(shí)教育選修課程100160(1-2)0必科修 平臺(tái)

HumanitiesGroup社會(huì)科學(xué)類SocialSciencesGroup小計(jì)Subtotal通識(shí)教育選修課GeneralEducationSelective小計(jì)Subtotal大學(xué)物理ⅠCollegePhysicsⅠ大學(xué)物理試驗(yàn)CollegePhysicsLab大學(xué)化學(xué)ⅣCollegeChemistryⅣ大平臺(tái)課程小計(jì)Subtotal

理工類必修課090990數(shù)學(xué)分析〔1-3〕程(1-3)0MathematicalAnalysis〔1-3〕090440高等代數(shù)〔1-2〕(1-2)1Advanced Algebra〔1-2〕09064001

解析幾何AnalyticalGeometry常微分方程09018000 OrdinaryDifferentialEquations090380010908800009040000業(yè)修課課程程

復(fù)變函數(shù)FunctionofComplexVariable實(shí)變函數(shù)RealFunctionTheory概率論P(yáng)robabilityTheory458804588088012+19+212+1820.533632016812+1表二21.5368320483+127+18+1表三Subtotal“根底數(shù)學(xué)方向”專業(yè)根底課組FundamentalMathematicCompulsoryGroup“應(yīng)用數(shù)學(xué)方向”專業(yè)根底課組AppliedMathematicsCompulsoryGroup選修課組FundamentalMathematic 77.513121168ElectiveGroup選修課組AppliedMathematicsElective77.513121168Group101601283261016012832624表四03周3周56周6周59周3周6周

48/14448/144

8+38+3

3/3/6/2+1/表二15 734+39+33/3/5/2+1/表三15 734+39+3實(shí)必69002023踐修活課09009502動(dòng)程

軍訓(xùn)MilitaryTraining畢業(yè)論文GraduationThesis合計(jì)16256162562564+15+14+1914414444+1464644464644464644464644464644〔根底數(shù)學(xué)〕合Total計(jì)14426912336128+925+396 23+623+319+31421+182+1+6〔應(yīng)用數(shù)學(xué)〕合Total計(jì)14427072320238+925+3128 23+626+421+313+117+172+1+6備注：1.本表必修課局部為專業(yè)〔大類〕必修課〔全部學(xué)生必需學(xué)習(xí)的〕課程設(shè)置表，即綜合教務(wù)系統(tǒng)中的課程打算表。2.選修課局部為課組設(shè)置表，即綜合教務(wù)系統(tǒng)中的課組打算表。課程號(hào)欄目中必修課局部為課程號(hào)，選修課局部為課組號(hào)。類性課組號(hào)Coursegroup類性課組號(hào)CoursegroupnumberCourseNo.課程 名 稱別質(zhì)CourseName學(xué)總分學(xué)數(shù)時(shí)Specializedgroupname09010 09126000拓?fù)鋵W(xué)Topology4 64總學(xué)時(shí)安排按學(xué)期周授實(shí)上一二三四五六七八學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)課驗(yàn)機(jī)期期期期期期期期6445090100905500109011090660000909202309033000090100905500109011090660000909202309033000業(yè)修 ComputationalMethods必課 近世代數(shù)修程 ModernAlgebra課 數(shù)理方程組 MathematicsEquationinPhysics泛函分析FunctionalAnalysis小計(jì)Subtotal09011090910000901009104000090110901109091000090100910400009011091300000901109095000090109001000090100913100109011090590020901109103000090110919000009011091650000901109002023090110910700009011090650000901109162023090110916700009011091010010901109189000數(shù)學(xué)試驗(yàn)MathematicsLab微分幾何DifferentialGeometry數(shù)論根底BasicsofNumberTheoryC++程序語言C++ProgrammingLanguage計(jì)算機(jī)原理PrinciplesofComputer計(jì)算機(jī)網(wǎng)絡(luò)技術(shù)ComputerNetworkTechnologyMathematicsContentMethodandMeaning專 Linux操作系統(tǒng)業(yè) LinuxOperatingSystem選 數(shù)學(xué)史修 HistoryofMathematics課 FoxPro數(shù)據(jù)庫(kù)系統(tǒng)組 FoxProDatabaseSystem數(shù)學(xué)專題TopiconMathematics金融數(shù)學(xué)FinancialMathematicsJava語言JavaLanguage數(shù)學(xué)前沿講座〔1-2〕ForefrontLecturesonMathematics〔1-2〕數(shù)學(xué)模型MathematicalModels代數(shù)表示論AlgebraRepresentationTheory

232322323223.56448163+14646444646442.54832162+12323211464644348483

3+1

4.5804.58064164+146464446464446464420.533632016812+14646442323224646444646443.56448163+12.54832162+12.5.4832162+1232322PureMathematics小計(jì)

48/

3/3/6/2+1/8+3Subtotal

77.513121168

15 734+39+3應(yīng)用數(shù)學(xué)方向的專業(yè)課程設(shè)置及學(xué)時(shí)安排表(課組課程) [表三]類類性 課組號(hào) 課程號(hào)課程 名 稱學(xué)總總學(xué)時(shí)安排專業(yè)課組名稱6Course別質(zhì) groupnumber

CourseNo.

CourseName 分學(xué)授實(shí)上一二三四五六七八數(shù)時(shí) 學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)學(xué)課驗(yàn)機(jī)期期期期期期期期

Specializedgroupname09010

09104000

數(shù)學(xué)試驗(yàn) 2 32 32 2MathematicsLab09010

09055001

4.5 80 64 16

4+1ComputationalMethods專ComputationalMethods專0901009001000C++程序語言C++Programming3.56448163+1業(yè)Language必?cái)?shù)理方程修09092023MathematicsEquationin464644課Physics09013

0903300009147000

泛函分析FunctionalAnalysis應(yīng)用統(tǒng)計(jì)方法AppliedStatistics小計(jì)

應(yīng)用數(shù)學(xué)AppliedMathematics4644646443.56448163+121.5368320483+127+18+12.54832162+1464642.54832162+14646444646442.54832162+13.56448163+14.58064164+13484834646442323223.56448163+14646442.54832162+12323222.54832162+109013091630000901309074000090100912600009011090590020901309002023090130912900009013090570000901309107000090130910300009011091900000901309091000090100913100109013091650000901309063300BasicsofMechanics拓?fù)鋵W(xué)Topology計(jì)算機(jī)網(wǎng)絡(luò)技術(shù)ComputerNetworkTechnologyFoxPro數(shù)據(jù)庫(kù)系統(tǒng)FoxProDatabaseSystem選 微分方程數(shù)值解修 NumericalSolutionsof課 DifferentialEquations程 計(jì)算機(jī)圖形學(xué)ComputerGraphics數(shù)學(xué)專題TopiconMathematics專 數(shù)學(xué)內(nèi)容方法和意義業(yè) MathematicsContent選 MethodandMeaning修 Linux操作系統(tǒng)課 LinuxOperati