理学院硕士培养方案Word文档下载推荐.docx
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19.分歧与混沌的理论和算法
20.分数阶微分方程数值解
21.计算流体力学
22.计算分子生物学
23.孤立子理论与可积系统
24.数学规划理论与算法
25.锥优化和内点算法及其应用
26.非线性整数规划理论与算法
27.随机模型与智能算法
28.机器学习与生物信息
29.非线性动力系统与控制
30.组合最优化及应用
31.保险理论与金融数学
32.图论及其应用
33.几何分析及其在图像分析中的应用
34.数学规划的几何理论
35.代数表示论
36.李代数与量子群
37.超几何级数或q-级数
38.计算几何,图形图像处理
39.随机优化
40.有限元与边界元分析方法
41.神经网络
42.分布参数系统的辨识与最优控制及应用
四、课程设置及学分要求
1.课程设置(见附表)
2.课程学分要求:
课程学分要求达到48学分及以上。
3.要求在攻读硕士学位期间在国外重要期刊或国内核心刊物上发表论文一篇以上。
五、硕博连读资格考试
申请硕博连读的学生需通过资格考试,资格考试时间安排与学校博士生入学考试同步。
其他按照上海大学有关文件执行。
六、培养计划的制定
研究生入学后,在导师的指导下,完成培养计划的制定,并报学院(学科)学位分委员会批准,在入学后一个月内报研究生部。
七、论文工作
1.在修满规定学分后,可申请进入论文课题研究,但在开题报告前应递交相关的综述报告。
2.开题报告一般在第二学年第一学期进行,选题应根据专业特点,着重选择对于科学研究和经济建设有应用价值的课题。
课题要具有先进性,课题份量和难易程度要适当,并尽量结合国家、部委和上海市的科研任务选题。
开题报告应在3000字以上,包括发展现状、选题意义、研究内容、进度安排以及预期成果等。
3.开题报告应组织3名及以上高级职称教师进行评审,为公开性报告。
4.在论文阶段的中期,进行阶段检查和中期考核,对离进度要求偏差较大者,应采取相应措施。
5.在完成论文并经2名高级职称教师双盲评审通过后,组织校内外专家评审答辩。
论文答辩通过后,并至少在国外重要期刊或国内核心期刊上发表与学位论文有关的学术论文一篇后才可申请硕士学位。
数学专业硕士研究生课程设置
类别
课程编号
课程名称
学时
学分
开课
学期
备注
学
位
课
政治
理论课
001000701
科学社会主义理论与实践
30
2
1
001000702
自然辩证法
45
3
第一
外国语
001000704
公共英语
100
1,2
011000701
专业英语
40
4
专业
基础课
专业课
011101710
现代分析
根据
任选
三门
011101703
一般拓扑学
011101704
代数学
011101705
现代偏微分方程
011101706
数值代数
011101707
逼近论及其算法
011101708
数学规划
011101709
应用随机过程
011101711
图论及其应用
011101712
非线性分析
必
修
文献
阅读
研讨课
011101902
凸体的Brunn-Minkowski理论
六门
011101903
空间理论基础
011101904
高等矩阵代数
011101905
群论概论
011101906
微分流形初步
011101907
非线性方程组迭代解法
011101908
最优化理论与方法
011101911
孤立子理论与可积系统
011101913
微分方程数值解法
011101915
分歧和混沌的数值解法
011101917
全局最优化
011101918
锥优化和内点算法及其应用
011101919
组合最优化与计算复杂性
011101920
随机模型
011101921
复杂网络——理论与应用
011101922
整数规划
011101924
渐进分析和计算机代数
011101925
非线性偏微分方程
011101927
应用数学专题选讲
011101928
矩阵计算
011101929
图像处理中的数学方法
011101930
编码理论
011101931
随机微分方程
学术
CultivationPlanforMaster’sDegreeofMathematics
1.CultivationAim
InordertobetterfollowtheeducationpolicyofCCP,cultivatehigh-rankingspecialpersonnelwhoissuitableforteaching,scientificresearch,thestate’seconomicconstructionandsocialdevelopment,giveeveryonethebestopportunitiestogrowmorally,intellectuallyandphysically,tolaydownthefollowingrequirementsformaster’sdegreeapplicants:
1.1BettermasterbasicMarxismprinciples,insistCCP’sbasiclines,loveourmotherland,followdisciplinesandobeylaws,havegoodmoralities,haveacautiousstudystyle,haveaprettystrongambitionandaself-devotionspirit,activetoservesocialismmodernization.
1.2Healthy
1.3Knowthedevelopmenttendency,researchtaskandimportantmaterialssystematically,andmasterthebasicknowledgeandcoursesofthisprogram,withtheabilityandcreativityofindependentscientificresearching.
2.DurationoftheProgram
Theprogramisscheduledfor3yearsforfull-timestudents,andcanbeextendedto3andahalfyearsor4yearsforin-servicestudents.
3.MainOrientationsofResearch
01.NumberTheoryandItsApplications
02.TheoryofFiniteGroup
03.MatrixAlgebraandItsRepresentations
04.AnalysisandItsApplications
05.PartialDifferentialEquations
06.GeometricAnalysisandConvexBodyTheory
07.SingularPerturbationandAsymptoticAnalysis
08.StratificationTheoryandNonlinearPartialDifferentialEquation
09.VariationalInequalityandOptimalControl
10.ApplicationandNumericalMethodofBifurcation
11.BoundaryValueProblemsandInverseProblemsinPartialDifferentialEquations
12.DynamicSystemandItsApplications
13.MathematicalTheoryandMethodsinContinuumMechanics
14.MathematicalModelingandInverseProblemsinIndustry
15.NumericalAlgebraandParallelAlgorithms
16.NumericalMethodsforPartialDifferentialEquations
17.ApproximationandComputationalGeometry
18.WaveletAnalysisandInverseProblems
19.TheoryandAlgorithmofBifurcationandChaos
20.NumericalmethodsforFractionalDifferentialEquations
21.ComputationalFluidMechanics
22.ComputationalMolecularBiology
23.SolitonTheoryandIntegrableSystem
24.TheoryandAlgorithmofMathematicalProgramming
25.ConicOptimizationandInterior-PointMethodsandApplications
26.TheoryandAlgorithmofNonlinearIntegerProgramming
27.StochasticModelandIntelligentAlgorithm
28.MachineLearningandBiologicalInformation
29.NonlinearDynamicSystemandCybernetics
30.CombinatorialOptimizationandApplication
31.ActuarialTheoryandFinancialMathematics
32.GraphTheorywithApplications
33.GeometricAnalysisanditsApplicationsinImagingAnalysis
34.TheGeometryofMathematicalProgramming
35.AlgebraRepresentation
36.LiAlgebraandQuantumGroups
37.Hyper-geometricseriesorq-series
38.ComputationalGeometric,GraphicsandImageProcessing
39.RandomOptimization
40.Analyticalmethodsoffiniteelementandboundaryelement
41.neuralnetwork
42.IdentificationandOptimalControlforDistributedParameterSystemsandApplications.
4.CurricularandCreditHourRequirements
4.1Curricular(aslistedbelow)
4.2CreditHourRequirements:
Atleast48credithours.
4.3Studentsarerequiredparticipateinatleast5academicseminars,andpublishatleastonearticleinkeyforeignjournalornationalcorejournal.
5.Qualificationexamforconsecutivemasteranddoctorprogram
Studentsapplyingforconsecutivemasteranddoctorprogramshouldpassthequalificationexamsonatwice-a-yearbasis,whichcoincidewithdoctorenrollmentexams.Asfortheotherrequirements,theyaresubjecttotheregulationsspecifiedintherelevantSUdocuments.
6.SettingCultivationPlan
Thecultivationplanshallbemadeundertheinstructionofthetutorandsubmittedtotheacademiccommitteeofthecollege.Withinonemonthaftertheenrollment,theplanisrequiredsubmittedtotheGraduateDepartment.Coursesofdoctorialdegreearerequiredtobefinishedwithinthefirstacademicyear.
7.Thesis
7.1Aftercompletingthestipulatedcreditpoints,postgraduatesembarkonthesisresearch,buttheyaretosubmitrelevantcomprehensivereportpriortothepreliminaryconference.
7.2Thepreliminaryconferenceisscheduledtotakeplaceinthefirsttermofthesecondacademicyear.Thethemeshouldevolvearoundscientificresearchandeconomicconstructioninlightofthecharacteristicsofthespecialtywithappliedvalue.Thethemeshouldbeup-to-date,andachievablethroughadequateefforts.It'
swelladvisabletolinkthethemewithscientificundertakingsofthecountry,theministriesandShanghaiMunicipality.Thepreliminarylecturecoversthequostatusofdevelopment,theimpactofthetheme,researchcontent,timetableandexpectedresult.
7.3Thepreliminarylectureistobeassessedbyatleastthreeteacherswithsenioracademictitlesonanopenbasis.
7.4Midwaythroughthethesis,stagecheck-upandmid-termassessmentareconducted.Givengreatdeviationfromtheschedule,appropriatemeasuresshouldbetakenaccordingly.
7.5Thetheses,uponcompletion,areexaminedandapprovedintheformofdualsamplingappraisalsbytwoteacherswithsenioracademictitlesbeforeassessmentbeingmadebyexpertsbothfromandoutsidetheuniversity.Afterthethesisisapproved,adegree-relatedacademicarticlepublishedinforeignkeyjournalsordomesticcorejournalsisprerequisitetotheacquisitionofmaster'
sdegree.
Curriculum
Category
CourseNumber
CourseName
Period
Credit
Term
Remarks
AcademicDegreeCourses
PoliticalTheoreticalCourse
TheoryandPracticeofScientificSocialism
NaturalDialectics
FirstForeignLanguage
PublicEnglish
ProfessionalEnglish
BasicandSpecializedCourse
AdancedAnalysis
Choosethreecoursesaccordingtospecialty
GeneralTopology
Algebra
ModernMethodsinPartialDifferentialEquations
NumericalAlgebra
ApproximationTheoryandAlgorithms
MathematicalProgramming
AppliedStochasticProcesses
GraphTheoryandItsApplications
Nonlinearanalysis
RequiredCourses
LiteratureReadingSeminar
ConvexBodies:
TheBrunn-MinkowskiTheory
Choosesixcoursesaccordingtospecialty
IntroductiontoSpacesTheory
AdvancedMatrixAlgebra
TheTheoryofGroup
IntroductionofDifferentialManifold
IterativeSolutionofNonlinearEquations
TheoryandMethodofOptimization
SolitonTheo