英文课程描述高数.docx

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1、Module:CalculusC(2)CreditsTotalhoursCoursetypeRequiredDuration1semesterPersoninchargeOfferingSpringSemesterPrerequisiteCalculus(1)CoursesHoursTeachingContents:DefiniteintegralTheconceptofdefiniteintegral;themediantheoremofdefiniteintegral;thebasictheoremofcalc

2、ulus;Newton-LeibnitzformulaVectoralgebraandspatialanalyticgeometrySpatialCartesiancoordinatesystem,vectoranditslinearoperation;planeandstraightline;surfaceanditsequation;spacecurveMultivariatefunctiondifferentialTheconceptofmultivariatefunctions,thelimitsandco

3、ntinuousconceptsofbinaryfunctions,theconceptofpartialderivativesandtotaldifferentials,thepartialderivativesofcomplexfunctions,andtheextremevaluesofbinaryfunctions.Theconceptandnatureofre-integrationandthecalculationofre-integrationDoubleintegralInfiniteseriesC

4、onvergenceofinfiniteseries,convergenceofgeometricseriesandPseries,convergencemethodofforwardseries,Leibniztheoremofinterleavingseries,absoluteconvergenceofinfiniteseriestoconditionalconvergence,powerseries,TaylorseriesLearningOutcome:Attheendofthecourse,studen

5、tsshouldbeableto:Obtaintheunaryfunctioncalculus,vectoralgebraandspaceanalyticgeometry,multivariatefunctioncalculus,ordinarydifferentialequations,basicknowledgeofinfiniteseries,necessarybasictheoryandcommonbasicmethods.Graspthebasicconcepts,basictheoriesandbasi

6、cmethodsofrelevantcontent,havemoreskilledcomputingskillsandgraduallyreachthebasicknowledgeandskillsthatcanbeappliedtoanalyzeandsolveproblems.CultivatingabstractthinkingabilityandcertainlogicalreasoningabilityRequirementtocompletethecourse:Thefinalgradeofthisco

7、urseincludes70%offinalwrittenexam(120min),20%oftheregularassignmentandexercise,and10%ofthemid-termwrittenexam(90min).