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- 课程详细介绍
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积分2
关键字:爱预科教育|北京爱预科教育|预科留学班
学校价格:¥电话咨询 网上优惠价:¥享团购 关注度:460人 总课时:预约咨询 开班日期:电话咨询 上课时段:全日制|周末班|寒暑假 授课学校:北京爱预科教育学校 上课地点:北京市海淀区清华东路 课程介绍CalculusTwo:SequencesandSeriesisanintroductiontosequences,infiniteseries,convergencetests,andTaylorseries.Thecourseemphasizesnotjustgettinganswers,butaskingthequestion"whyisthistrue?"课程目录1Sequences1.1HowCanISucceedinThisCourse1.2.1WhatisaSequence1.2.2HowisaSequencePresented1.2.3CantheSameSequencebePresentedinDifferentWays1.3.1HowCanWeBuildNewSequencesfromOldSequences1.3.2WhatisanArithmeticProgression1.4.1WhatisanGeometricProgression1.4.2WhatistheLimitofaSequence1.4.3Visually,WhatistheLimitofaSequence1.5.1IsitEasytoFindtheLimitofaSequence1.5.2ForSomeEpsilon,HowLargeNeedNBe1.6.1HowDoSequencesHelpwiththeSquareRootofTwo1.6.2WhenisaSequenceBounded1.6.3WhenisaSequenceIncreasing1.6.4WhatistheMonotoneConvergenceTheorem1.6.5HowCantheMonotoneConvergenceTheoremHelp1.7.1IsThereaSequenceThatIncludesEveryInteger1.7.2IsThereaSequenceThatIncludesEveryRealNumber2Overview2.1WhatHappensinThisModule2.2WhatDoes∑a?=LMean_2.3WhatisaGeometricSeries_2.4WhatistheValueof∑???∞r?_2.5WhyDoes∑???∞1_2?=2_2.6WhatistheSumofaTelescopingSeries_2.7DoestheSeries∑n_(n+1)ConvergeorDiverge_2.8DoestheSeries1+1_2+1_3+?ConvergeorDiverge_2.9Does∑sin?k_2?ConvergeorDiverge_2.10WhatistheComparisonTest_2.11HowCanGroupingMaketheComparisonTestEvenBetter_2.12Whatis∑1_n?_2.13InWhatSenseDoes0.99999?Equal1_2.14InWhatSenseis∑9?10?Meaningful_3Overview3.1WhatWillHappeninThisModule_3.2DoesSumn^5_4^nConverge_3.3WhatDoestheRatioTestSay_3.4DoestheRatioTestAlwaysWork_3.5DoesSumn!_n^nConverge_3.6HowDoesn!Compareton^n_3.7WhyDon'tILovetheRootTest_3.8HowCanIntegratingHelpUstoAddressConvergence_3.9HowElseCanIShowtheHarmonicSeriesDiverges_3.10DoesSum1_n^pConverge_3.11DoesSum1_(nlogn)Converge_3.12HowFarOutCanYouBuildaOneSidedBridge_4Overview4.1WhatisthisModuleAllAbout_4.2WhyHaveWeBeenAssumingtheTermsarePositive_4.3WhyDoAbsolutelyConvergentSeriesJustPlainConverge_4.4WhyisAbsoluteConvergenceanImportantConcept_4.5WhatisConditionalConvergence_4.6WhatisanAlternatingSeries_4.7WhatistheAlternatingSeriesTest_4.8WhyCanPeopleGetAwayWithWritingsum_na_n_4.9WhyisThisAllsoVague...orCoarse_4.10WhatHappensifIrearrangetheTermsinaConditionallyConvergentSeries_5Overview5.1WhatarePowerSeries_5.2ForWhichValuesDoesaPowerSeriesConverge_5.3WhyDoesaPowerSeriesConvergeAbsolutely_5.4HowComplicatedMighttheIntervalofConvergenceBe_5.5HowDoIFindtheRadiusofConvergence_5.6WhatiftheRadiusofConvergenceisInfinite_5.7WhatiftheRadiusofConvergenceisZero_5.8WhatisaPowerSeriesCenteredArounda_5.9CanIDifferentiateaPowerSeries_5.10CanIIntegrateaPowerSeries_5.11WhyMightIbelieveIHaveaPowerSeriesfore^x_5.12WhatHappensifIMultiplyTwoPowerSeries_5.13WhatHappensifITransform1_(1-x)_5.14WhatisaFormulafortheFibonacciNumbers_6Overview6.1WhatisThisLastModuleAbout_6.2WhatisBetterThanaLinearApproximation_6.3WhatistheTaylorSeriesforfAroundZero_6.4WhatistheTaylorSeriesforfCenteredArounda_6.5WhatistheTaylorSeriesforSinAroundZero_6.6WhatisTaylor'sTheorem_6.7WhyistheRadiusofConvergenceof1_(1+x^2)soSmall_6.8HowisTaylor'sTheoremLikeaSoupedUpVersionoftheMeanValueTheorem_6.9Approximately,WhatiscosxWhenxisNearZero_6.10HowDoTaylorSeriesProvideIntuitionForLimits_6.11WhatisaRealAnalyticFunction_6.12HowAreRealAnalyticFunctionsSometimeslikeHolograms_编号 班级名称 开班日期 教学点 网上优惠价 网上支付
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