数学硕士培养方案（英文版）

EducationalPlanforAcademicDegreePostgraduates

Discipline:Mathematics

Disciplinecode:0701

I.Objectives

a.NurtureprofessionaltalentslovingthemotherlandandsupportingtheleadershipoftheCPC,abidingbythedisciplineandlaw,possessinggoodconduct,obeyingacademicnorms,havingrigorousandrealisticscientificattitudeandenterprisingspirittowardslearning,engagedinresearchingofmathematicaltheoryandapplications;

b.Mastersolidmathematicalfoundationtheory,havesystematicexpertise,haveacertainunderstandingforthefrontierprogressandtheresearchtrendsintherelatedmajors,possesssomecapabilitytoconductindependentlyscientificresearch,tosolvemathematicsproblemsinthissubjectandrelatedsubjectsinthefieldandtoputforwardnewinsights.Bequalifiedforteachingofthespecialtyorrelatedspecialties;

c.Masteroneforeignlanguage,havetheabilitytoreadforeignliteratureinthefield,possesscertainoralcommunicationskillsandbeabletouseaforeignlanguagewritingprofessionalresearchpapers.

II.ResearchDirections:

（1）Fractalgeometry,

（2）Geometryandtopology,

（3）Algebra,

（4）Functionalanalysis,

（5）Numericalmethodsfordifferentialequationsandapplications,

（6）Intelligentcomputingandimageprocessing,

（7）Mesoscopicmodelingandsimulationofnonlinearsystems,

（8）Stochasticanalysis，

（9）Stochasticdynamicalsystems,

（10）Partialdifferentialequationsandapplications，

（11）Harmonicanalysisanditsapplications,

（12）Dynamicalsystemsandapplications,

（13）Theoryandmethodforoptimization,

（14）Controltheoryanditsapplications

（15）Mathematicalstatistics

III.Program

Duration

The

duration

of

full-timeacademicpost-graduatestudentsis3years.

IV.CreditsRequirementsandAllotment

Totalcredits≥38(creditsforDegree

Courses≥26;Creditsforresearch≥12)

TotalCredits

≥38credits

Degree

Courses

≥26credits(includingcreditsforadvancedorinternationalcourses≥4)

Compulsorypubliccourses≥5credits:

Studyontheoryandpracticeof

C

hinese

characteristics

:2credits

DialecticsofNature(science/engineering/medicalscience)/Marxismandsocialscientificmethodology(liberalarts):1credit

ForeignLanguage:2credits

Optionalpubliccourses≥1credit

1st-leveldisciplinebasiccourses:8credits(compulsory)

2nd-leveldisciplinebasiccourses:4credits(restrictedoptional)

Optionalprofessionalcourses:4credits(optional)

Cross1-leveldisciplinecourses:2credits(optional)

Nocreditformake-upcoursesorotheroptionalcourses,gradesonly.

Research

≥12credits

Literaturereviewandthesisproposal:1credit

Participationinpublicacademiclectures:1credit

AcademicDissertation:10credits

V.CourseCurriculumandCreditsAllotment

Courses

Coursecode

Coursename

Hours

Credits

Season

Department

Notes

Degreecourses

Compulsorypubliccourses

408.602

DialecticsofNature

18

1

Spring/

Autumn

CollegeofMarxism

Compulsory

≥6credits(atthepostgraduatephase)

408.601

Studyontheoryandpracticeof

C

hinese

characteristics

36

2

Spring/

Autumn

CollegeofMarxism

411.500

Foreignlanguage(English)

32

2

Autumn,

Spring

Schoolofforeignlanguages

Optionalpubliccourses

1

1st-leveldisciplinebasiccourses

011.520

FunctionalAnalysis(advanced)

64

4

Autumn

SchoolofMathematicsandStatistics

Compulsory≥8credits(atthepostgraduatephase)

011.521

Topology(advanced)

64

4

Autumn

SchoolofMathematicsandStatistics

011.522

Algebra(advanced)

64

4

Autumn

SchoolofMathematicsandStatistics

011.523

AdvancedProbabilityTheory(advanced)

64

4

Autumn

SchoolofMathematicsandStatistics

011.524

AdvancedNumericalAnalysis(advanced)

64

4

Autumn

SchoolofMathematicsandStatistics

011.532

AdvancedMathematicalStatistics

64

4

Autumn

SchoolofMathematicsandStatistics

2nd-leveldisciplinebasiccourses

011.528

PartialDifferentialEquations(advanced)

64

4

Spring

SchoolofMathematicsandStatistics

Restrictedoptional≥4credits(atthepostgraduatephase)

011.529

MeasureTheory

64

4

Autumn

SchoolofMathematicsandStatistics

011.530

GeneralizedFunctionsandSobolevSpaces

64

4

Autumn

SchoolofMathematicsandStatistics

011.519

ComplexAnalysis

64

4

Spring

SchoolofMathematicsandStatistics

011.518

AnIntroductiontoDifferentialManifold

64

4

Spring

SchoolofMathematicsandStatistics

011.517

TopicsofAbstractAlgebra

64

4

Spring

SchoolofMathematicsandStatistics

011.531

OperationsResearchTheory,ModelandMethod

64

4

Spring

SchoolofMathematicsandStatistics

011.533

TheModernNumericalMethodsforDifferentialEquations

64

4

Autumn

SchoolofMathematicsandStatistics

011.536

StochasticProcess(international)

64

4

Spring

SchoolofMathematicsandStatistics

011.537

Stochasticanalysis

64

4

Spring

SchoolofMathematicsandStatistics

professionalcoursesforpostgraduatestudents

011.534

SemigroupsofLinearOperatorsandEvolutionEquations

(international)

64

4

Autumn

SchoolofMathematicsandStatistics

≥4credits(atthepostgraduatephase)

011.535

MethodsofModernmathematicalPhysics

64

4

Autumn

SchoolofMathematicsandStatistics

Stochasticdifferentialequations

64

4

Autumn

SchoolofMathematicsandStatistics

Calculusofvariation

64

4

Autumn

SchoolofMathematicsandStatistics

Cross1st-leveldisciplinecourses

CompulsoryforPhDstudents≥2credits

Non-

degreecourses

Make-upcourses

1.FunctionsofRealVariables

FunctionalAnalysis

PartialDifferentialEquations

GeneralTopology

SchoolofMathematicsandStatistics

CompulsoryforNon-MathematicalandNon-Statisticalmajorundergraduates

Research

650.801

Literaturereviewandthesisproposal(PhD)

1

SchoolofMathematicsandStatistics

650.802