2012考研数学重要知识点综述之数一（the 2012 important points of postgraduate mathematics review count）

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1、2012考研数学重要知识点综述之数一（The2012importantpointsofpostgraduatemathematicsreviewcount）AdvancedmathematicsFunction,limit,continuityTheboundedness,monotonicity,periodicityandparityof1.functions2.compoundfunction,inversefunction,piecewisefunctionandimplicitfunctionTheprope

2、rtiesandgraphsof3.elementaryelementaryfunctionsDefinitionandpropertiesof4.serieslimitandfunctionlimit5.leftlimitandrightlimitoffunction6.theconceptofinfinitesimalandinfinitequantityandtheirrelationsThecomparisonbetweenthepropertiesandtheinfinitesimalof7.infinite

3、simalTwocriteriaforthelimitoffouroperationsof8.limit:monotonicboundedcriterionandpinchingcriterion9.twoimportantlimits:10.theconceptofcontinuityoffunctionThetypeofdiscontinuitypointsof11.functionsThepropertiesofcontinuousfunctionon12.closedintervalTwo.Differenti

4、alcalculusofunaryfunction1.conceptsofderivativeanddifferentialTherelationbetweenthedifferentiabilityandcontinuityof2.functionsTangentandnormalequationsof3.planecurvesFourderivativesand4.operationsofdifferentialThederivativeof5.basicelementaryfunctionsDifferentia

5、tionoffunctionsdeterminedby6.compoundfunctions,inversefunctions,implicitfunctionsandparametricequationsInvarianceoffirstorderdifferentialformof7.higherorderderivative8.differentialmeanvaluetheorem9."(LHospital)RulesMonotonicityandextremevalueof10.functionsConvex

6、ity,inflectionpointandasymptotefunctionfigure11.Themaximumandminimumvaluesof12.functions13.arcdifferentialTheconceptof14.curvature,curvaturecircleandradiusofcurvatureThree.IntegralcalculusofonevariablefunctionTheconceptof1.primitivefunctionandindefiniteintegrala

7、ndthebasicpropertiesofindefiniteintegral2.basicintegralformulaTheconceptandbasicpropertiesof3.definiteintegralandthemeanvaluetheoremofdefiniteintegralFunctionandderivativeof4.integralupperlimit5.NewtonLeibniz(Newton-Leibniz)formulaVariableintegralmethodandpartia

8、lintegrationmethodforindefiniteintegralanddefiniteintegralof6.7.rationalfunction,rationalformulaoftrigonometricfunctionandintegralofsimpleirrationalfunction8.improper