英文课程描述-高数Calculus-C-(2)

Module:19007300CalculusC(2)CreditsTotalhoursCoursetypeRequiredDuration1semesterPersoninchargeOfferingSpringSemesterPrerequisiteCalculus(1)CoursesHoursTeachingContents:DefiniteintegralTheconceptofdefiniteintegral;themediantheoremofdefiniteintegral;thebasictheoremofcalculus;Newton-LeibnitzformulaVectoralgebraandspatialanalyticgeometrySpatialCartesiancoordinatesystem,vectoranditslinearoperation;planeandstraightline;surfaceanditsequation;spacecurveMultivariatefunctiondifferentialTheconceptofmultivariatefunctions,thelimitsandcontinuousconceptsofbinaryfunctions,theconceptofpartialderivativesandtotaldifferentials,thepartialderivativesofcomplexfunctions,andtheextremevaluesofbinaryfunctions.Theconceptandnatureofre-integrationandthecalculationofre-integrationDoubleintegralInfiniteseriesConvergenceofinfiniteseries,convergenceofgeometricseriesandPseries,convergencemethodofforwardseries,Leibniztheoremofinterleavingseries,absoluteconvergenceofinfiniteseriestoconditionalconvergence,powerseries,TaylorseriesLearningOutcome:Attheendofthecourse,studentsshouldbeableto:Obtaintheunaryfunctioncalculus,vectoralgebraandspaceanalyticgeometry,multivariatefunctioncalculus,ordinarydifferentialequations,basicknowledgeofinfiniteseries,necessarybasictheoryandcommonbasicmethods.Graspthebasicconcepts,basictheoriesandbasicmethodsofrelevantcontent,havemoreskilledcomputingskillsandgraduallyreachthebasicknowledgeandskillsthatcanbeappliedtoanalyzeandsolveproblems.CultivatingabstractthinkingabilityandcertainlogicalreasoningabilityRequirementtocompletethecourse:Thefinalgradeofthiscourseincludes70%offinalwrittenexam(120min),20%oftheregularassignmentandexercise,and10%ofthemid-termwrittenexam(90min).