| 泰勒定理论证函数性态的教学研究① |
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| 引用本文： | 张建军,王玉琢,杨美妮.泰勒定理论证函数性态的教学研究①[J].科技咨询导报,2014(26):148-149. |
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| 作者姓名： | 张建军 王玉琢 杨美妮 |
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| 作者单位： | 海军工程大学理学院,武汉430033 |
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| 基金项目： | 海军工程大学训教字2011-43号教育科研课题项目：信息与计算科学专业的专业课程体系优化及教学改革研究. |
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| 摘 要： | 该文从一个新的角度研究了高等数学中泰勒定理的本质，通过典型实例阐述了泰勒公式对函数及其各阶导数之间有机联系的深入刻画及运用其论证函数性态的要点，进而帮助学生更深入地理解并掌握泰勒定理这一教学重点和难点。
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| 关 键 词： | 泰勒定理 泰勒公式 函数的性态 有界性 |
The Teaching Research on the Argumentation of Function Behavior with Taylor’s theorem |
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| ZHANG Jianjun,WANG Yuzhuo,YANG Meini.The Teaching Research on the Argumentation of Function Behavior with Taylor’s theorem[J].Science and Technology Consulting Herald,2014(26):148-149. |
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| Authors: | ZHANG Jianjun WANG Yuzhuo YANG Meini |
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| Institution: | (College of Sciences,Naval University of Engineering,Wuhan,Hubei,430033,China) |
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| Abstract: | This paper studies the essence of Taylor’s theorem of Advanced Mathematics with a new point of view.The ilustrative typical examples deeply depict the organic connections of the function and its al-order derivatives,and the main points of the argumentation of function behavior with Taylor’s theorem,which help students understand and grasp the teaching focus and difficult points of Taylor’s theorem more deeply. |
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| Keywords: | Taylor’s theorem Taylor’s formula function’s behavior boundedness |
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