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1、《微积分》考试大纲-湖北专升本网Birdswanttoflyhigh,flutterfirst,peopleseekprogress,firstread・-LiKuchanThesyllabusforcalculusChapter1:functionsandMathematicaentry1.1setsgraspthesetofoperations,understandtheconceptofneighborhood.1.2,functionsunderstemdtheconceptoffunctions,andgrasptheparity,monotonici
2、ty,periodicityandboundednessoffunctions.Understandtheconceptsofcompositefunctionsandinversefunctions・Familiarwiththepropertiesandgraphsofelementaryelementaryfunctions・1.3commonlyusedfunctionsineconomics,masterthecommonlyusedeconomicfunctions,willestablishasimpleeconomicfunctionofther
3、elationship・Thesecondchapter:limitandcontinuity2.1understandtheconceptandnatureofthelimitofsequencelimitandfunctionlimit,fourarithmeticoperationsmasterlimit,thelimitwillseeksimplecompositefunctionwithvariablesubstitution,understandthetwocriteriaoftheexistenceoflimit(squeezeruleandmon
4、otoneboundedcriterion),continuousgraspthetwoimportantlimit,andforthethelimitwiththem・2.2,thecontinuityoffunction,thecontinuityoffunction,theconceptofdiscontinuitypointoffunction,thecontinuityoffunctionandthetypeofdiscontinuitypointarejudged・Understandthecontinuityofelementaryfunction
5、sandthepropertiesofcontinuousfunctionsonclosedintervals(maximum,minimumandboundednesstheorems,zeropointtheoremsandintermediatevaluetheorems)・2.3,theinfinitelysmallcomparisonoftheconceptsandpropertiesofinfinitelylargequantitiesandinfinitelysmallquantities・Thethirdchapter:derivativeand
6、differential3.1,theconceptofderivative,understandtheconceptofderivativeanditsgeometricmeaning,tounderstandtherelationshipbetweenthecontinuityoffunctionandcontinuity・Derivationoftheformulaforthederivative3.2derivationprinciplesandbasicelementaryfunctionbasicelementaryfunction,masterth
7、ederivativeoffouralgorithmsandcompoundfunctionderivation,understandthederivationruleofinversefunctionandimplicitfunctionderivativewillask・Understandtheconceptofhigher-orderderivatives,masterthefirstorderoftheprimaryfunction,thetwoderivativeofthesolution,tounderstandafewcommonfunction
8、s()ofthegene
