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1、CourseSyllabusesCourseNameHigherMathematicsCourseCodeHours&Credits160&10Majors&MinorsScience&TechnologyMajorsFacultyofMathematicsandPhysics第2页HigherMathematicsCOURSEDESCRIPTION:Prerequisites:satisfactoryscoreonelementarymathematicsCorequisites:NoneHigherMath
2、ematicsisdesignedtoservestudentsmajoringinchemicalscience,computerscienceandengineeringetc.Itconsistsoftwopartsofatwo-semestersequence.Thecoursebeginswitharapidreviewoftopicsinalgebraandtrigonometry,whichyoushouldbecompetentin.Part1,consistingofChapters1to7,
3、isdevotedtosinglevariabledifferentiation,integrationanddifferentialequations.Itcoversthefundamentalconceptsandtheorems.Part2,consistingofChapters8to12,discussesindepthmultivariabledifferentiation,integration,infiniteseries,vectorsandthegeometryofspace.COURSE
4、OBJECTIVES:Uponcompletion,studentswillbeabletoevaluatelimitsandcontinuity,andcomputederivativesandintegralsofselectedfunctionswithsingleormultivariable,solvesomelineardifferentialequationsanddeterminetheconvergencesordivergencesofaninfiniteseries.Furthermore
5、,studentswillbeabletoutilizethetechniquesofdifferentiationandintegrationtogetherwithappropriatetechnologytosolvepracticalproblemsandtoanalyzeandcommunicateresults.OUTLINEOFINSTRUCTION:Chapter1.FunctionsandLimitsChapter2.DerivativesandDifferentiationChapter3.
6、TheMeanValueTheoremandApplicationsoftheDerivativesChapter4.IndefiniteIntegralsChapter5.DefiniteIntegralsChapter6.ApplicationsofIntegralsChapter7.DifferentialEquationsChapter8.vectorsandthegeometryofspaceChapter9.MultivariableFunctionsandTheireDerivativesChap
7、ter10.MultipleIntegralsChapter11.IntegrationinVectorFieldsChapter12.InfiniteSeriesTEACHINGMETHODS:Lecture第2页ASSESSMENTItems:Therewillbeamidterm,finalandtwoperiodicalexaminationsGRADING:Midterm10%FinalExam50%TwoperiodicalExam20%(each10%)Exercises20%REFERENCEB
8、OOKS:1.Stewart,James.Calculus:EarlyTranscendentals.7thed.Brooks/Cole,CengageLearning20122.RossL.Finney.Calculus.10thedition.MauriceD.WeirandFrankR.Giordano2010第2页
