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

PAGEPAGE5數(shù)學與應(yīng)用數(shù)學培養(yǎng)方案（070101）（MathematicsandAppliedMathematics070101）一、專業(yè)簡介（Ⅰ、MajorIntroduction）數(shù)學與應(yīng)用數(shù)學專業(yè)的專業(yè)方向有：基礎(chǔ)數(shù)學和應(yīng)用數(shù)學。本專業(yè)十分重視學生數(shù)學基礎(chǔ)知識和專業(yè)基礎(chǔ)知識的學習，注重對他們的創(chuàng)造性和創(chuàng)新能力的培養(yǎng)，為培養(yǎng)高級數(shù)學專業(yè)人才打好基礎(chǔ)。經(jīng)過四年學習，使學生初步具備在基礎(chǔ)數(shù)學或應(yīng)用數(shù)學某個方向從事當代學術(shù)前沿問題研究的能力。畢業(yè)后能從事數(shù)學及相關(guān)學科的教學和科學研究工作，并可繼續(xù)深造，到高等學?；蚩蒲袡C構(gòu)的基礎(chǔ)數(shù)學、應(yīng)用數(shù)學及其他交叉學科做研究生。Themajor(MathematicsandAppliedMathematics)havetwobranches:PureMathematicsandAppliedMathematics.Themajorfocusteachingonbothbasicandprofessionaltheoryofmathematics,andiscommittedtocultivatingthehigh-levelmathematicaltalentswiththeinnovativeandcreativeability.Afterfour-years-study,thestudentsshouldhaveresearchingabilityforacademicopenproblemsinsomedirectionsofpureorappliedmathematics.Whenthestudentsinthemajorgraduate,theycanteachorstudymathematicsandrelatedsubjects,ortheycanbepostgraduatestudentsofuniversitiesorinstitutesinPureMathematicsorAppliedMathematicsorsomeotherrelatedbranches.二、培養(yǎng)目標（Ⅱ、CultivationObjective）培養(yǎng)掌握數(shù)學科學的基本理論與基本方法,具有運用數(shù)學知識或使用計算機解決實際問題的能力，受到科學研究訓練的高級專門人才，能在科技、教育、經(jīng)濟和企事業(yè)等部門從事研究、教學工作或在生產(chǎn)經(jīng)營及管理部門從事實際應(yīng)用、開發(fā)研究和管理工作，或能繼續(xù)攻讀研究生學位。Thecultivationobjectiveofthemajor(MathematicsandAppliedMathematics)istocultivatethestudentssothattheycanmasterfundamentaltheoryandmethodsofmathematicalsciences,areabletosolvepracticalproblemsbyusingmathematicalknowledgeorcomputers,andareprofessionaltalentsofhighlevelwithabilityofscientificresearch.Thestudentsareexpectedtohaveexperienceofresearchesandteachingindepartmentsofscienceandtechnology,education,economy,enterprisesorothers,ortohaveexpertiseofpracticalapplications,developingresearches,managementindepartmentsofproductionandmanagement,orbeabletocontinuetopursuepostgraduatedegrees.三、培養(yǎng)要求（Ⅲ、CultivationRequirement）貫徹“面向工程、寬基礎(chǔ)、強能力、重應(yīng)用”的培養(yǎng)方針，探索建立專業(yè)拓展方向及相應(yīng)課程體系，提高學生的專業(yè)技能。本專業(yè)學生主要學習數(shù)學和應(yīng)用數(shù)學的基本理論、基本方法，受到數(shù)學建模、計算機和數(shù)學軟件、程序設(shè)計和計算方法等方面的基本訓練，在數(shù)學理論和它的應(yīng)用兩方面都受到良好的教育，具有較高的科學素養(yǎng)和較強的創(chuàng)新意識，具有科學研究、教學、解決實際問題及軟件開發(fā)等方面的基本能力和較強的更新知識的能力。Themajor(MathematicsandAppliedMathematics)implementscultivatingpoliciesofthe"orientingproject,basewidened,capacitystrengthened,focusingapplication",explorestoestablishprofessionaldevelopmentdirectionsandcorrespondingcurriculums,andimprovesprofessionalskillsofstudents.Thestudentsinthemajormainlystudyfundamentaltheoryandbasicmethodsofmathematicsandappliedmathematics;areelementarilytrainedbymathematicalmodeling,computers,mathematicalsoftware,programdesign,computingmethods,andsoon;arewelleducatedbymathematicaltheoryanditsapplications;possessscientificqualityofhighlevelandstrongsenseofinnovation;andpossessbasicskillsandstrongabilityupdatingtheirknowledgeinscientificresearch,teaching,solvingpracticalproblemsandsoftwaredevelopment.四、學制與學位（Ⅳ、SchoolingPeriodandDegree）學制四年。按計劃要求完成學業(yè)者，授予理學學士學位。SchoolingPeriod:4yearsStudentswhocompleteallrequiredcourseswillbeconferredthebachelor’sdegree.五、學時與學分(Ⅴ、SchoolingHoursandCredits)總學分：144(TotalCredits：144)課程教學學時/學分：2224/133.5 占總學分的比例：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)、實變函數(shù)、數(shù)學物理方程、數(shù)理統(tǒng)計、數(shù)學模型。MathematicsAnalysis,AnalyticGeometry,AdvancedLinearAlgebra,OrdinaryDifferentialEquations,Probability,FunctionsofComplexVariables,FunctionsofRealVariables,DifferentialEquationsinMathematicsandPhysics,Statistics,Mathematicalmodeling.七、主要專業(yè)實驗和實習安排（Ⅶ、MainLaboratoryandPractice）數(shù)學與應(yīng)用數(shù)學專業(yè)的學生主要有計算機編程、物理實驗、數(shù)學實驗，其中數(shù)學類實驗結(jié)合數(shù)學建模與數(shù)學軟件進行。Mainexperimentsofthemajor(MathematicsandAppliedMathematics)includecomputerprogramming,physicalexperiments,andmathematicalexperiments,wheremathematicalexperimentsincludeusesofmathematicalmodelingandmathematicalsoftware.八、專業(yè)優(yōu)勢及特色(Ⅷ、MajorPredominanceandCharacteristics)具有一支治學嚴謹、研究領(lǐng)域廣泛、實力雄厚的師資隊伍，在“基礎(chǔ)數(shù)學及其應(yīng)用”的研究上具有非常突出的專業(yè)優(yōu)勢。其中，“現(xiàn)代數(shù)論和表示論”、“橢圓曲線與安全計算理論”和“現(xiàn)代分析”等方向中的多個研究領(lǐng)域處于國際領(lǐng)先水平。2007年被認定為“國家重點學科”。本專業(yè)注重科研與教學相結(jié)合，堅持實行名師學者、教授博導(dǎo)上講臺，請教學經(jīng)驗豐富、長期教學效果一流的名師擔綱重要的基礎(chǔ)課教學；請優(yōu)秀學者設(shè)計高級特色課程并主講，突出自身優(yōu)勢學科并幫助學生在相關(guān)領(lǐng)域迅速成長；請活躍的青年學者主持重要新興領(lǐng)域的相關(guān)課程學習，指導(dǎo)優(yōu)秀學生在這些領(lǐng)域的研討班，調(diào)動其主觀能動性，并提供給他們一些有益的科研創(chuàng)新經(jīng)歷和體驗。同時，堅持定期邀請國際知名學者，特別是一些重要新興領(lǐng)域的權(quán)威專家，來給學生介紹其相關(guān)學科的基本概況及最新進展，使其了解當前數(shù)學與應(yīng)用數(shù)學領(lǐng)域的基本形勢，為以后的數(shù)學理論研究與應(yīng)用打下堅實的基礎(chǔ)。Themajor(MathematicsandAppliedMathematics)possessesstaffmembersofrigorousscholarship,extensiveresearchfieldsandfamousacademicachievements;hasveryprominentprofessionaladvantageintheresearchof"BasicMathematicsandItsApplications";locatedoninternationaladvancedlevelforsomeresearchworkson"ModernNumberTheoryandRepresentationTheory","EllipticCurvesandSecureComputing","ModernAnalysis"andanumberofresearchareas;andwasidentifiedas"NationalKey0901009055001計算方法ComputationalMethods4.58064164+10901109066000近世代數(shù)ModernAlgebra46464409092000數(shù)理方程MathematicsEquationinPhysics46464409033000泛函分析FunctionalAnalysis464644小計Subtotal20.533632016812+1專業(yè)選修課組0901109091000數(shù)據(jù)庫與數(shù)據(jù)結(jié)構(gòu)DatabaseandDataStructure464644基礎(chǔ)數(shù)學PureMathematics0901009104000數(shù)學實驗MathematicsLab2323220901109130000微分幾何DifferentialGeometry4646440901109095000數(shù)論基礎(chǔ)BasicsofNumberTheory464644090109001000C++程序語言C++ProgrammingLanguage3.56448163+10901009131001計算機原理PrinciplesofComputer2.54832162+10901109059002計算機網(wǎng)絡(luò)技術(shù)ComputerNetworkTechnology2.5.4832162+10901109103000數(shù)學內(nèi)容方法和意義MathematicsContentMethodandMeaning2323220901109190000Linux操作系統(tǒng)LinuxOperatingSystem3.56448163+10901109165000數(shù)學史HistoryofMathematics2323220901109002000FoxPro數(shù)據(jù)庫系統(tǒng)FoxProDatabaseSystem3.56448163+10901109107000數(shù)學專題TopiconMathematics4646440901109065000金融數(shù)學FinancialMathematics4646440901109162000Java語言JavaLanguage2.54832162+10901109167000數(shù)學前沿講座（1-2）ForefrontLecturesonMathematics（1-2）23232110901109101001數(shù)學模型MathematicalModels4646440901109189000代數(shù)表示論AlgebraRepresentationTheory348483小計Subtotal14.5/77.5256/1312208/116848/1448+33/153/76/34+32+1/9+3應(yīng)用數(shù)學方向的專業(yè)課程設(shè)置及學時分配表(課組課程)[表三]類別性質(zhì)課組號Coursegroupnumber課程號CourseNo.課程名稱CourseName學分數(shù)總學時總學時分配按學期周學時分配專業(yè)課組名稱Specializedgroupname授課實驗上機一學期二學期三學期四學期五學期六學期七學期八學期專業(yè)必修課組選修課程0901009104000數(shù)學實驗MathematicsLab232322應(yīng)用數(shù)學AppliedMathematics0901009055001計算方法ComputationalMethods4.58064164+10901009001000C++程序語言C++ProgrammingLanguage3.56448163+109092000數(shù)理方程MathematicsEquationinPhysics46464409033000泛函分析FunctionalAnalysis4646440901309147000應(yīng)用統(tǒng)計方法AppliedStatistics3.56448163+1小計Subtotal21.5368320483+127+18+1專業(yè)選修課組0901309163000Fortran語言FortranLanguage2.54832162+10901309074000力學基礎(chǔ)BasicsofMechanics4646440901009126000拓撲學Topology4646440901109059002計算機網(wǎng)絡(luò)技術(shù)ComputerNetworkTechnology2.54832162+10901309002000FoxPro數(shù)據(jù)庫系統(tǒng)FoxProDatabaseSystem3.56448163+10901309129000微分方程數(shù)值解NumericalSolutionsofDifferentialEquations4.58064164+10901309057000計算機圖形學ComputerGraphics3484830901309107000數(shù)學專題TopiconMathematics4646440901309103000數(shù)學內(nèi)容方法和意義MathematicsContentMethodandMeaning2323220901109190000Linux操作系統(tǒng)LinuxOperationSystem3.56448163+10901309091000數(shù)據(jù)庫與數(shù)據(jù)結(jié)構(gòu)DatabaseandDataStructure4646440901009131001計算機原理PrinciplesofComputer2.54832162+10901309165000數(shù)學史HistoryofMathematics2323220901309063300計算實習ComputationalPractice2.54832162+10901309061000計算機信息管理系統(tǒng)ComputerInfoManagementSystem2.54832162+10901309065000金融數(shù)學FinancialMathematics4646440901309148000運籌學OperationalResearch4646440901309069000經(jīng)濟預(yù)測EconomicForecasts3484830901309134000系統(tǒng)辨識與參數(shù)估計SystemArgueandParameterEstimate3484830901109162000Java語言JavaLanguage2.54832162+10901309169000生物數(shù)學概論IntroductiontoBiologicalMathematics3484830901309167001數(shù)學前沿講座Forefro