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Counter-examples for basic Calculus

- - - - - counter-example example calculus analysis

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NQBHong

NQBHong

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This small paper contains some very-basic counter-examples in calculus. It is a suplementary resource intended to enhance the teaching and learning of a first-year university calculus course. The main part of the book contains incorrect statements form 5 topics found in introductory calculus courses: functions, limits, continuity, differential calculus and integral calculus. The most special thing which I get from this book is “picture-technique skill” to build counter-examples. This skill is so simple but require good imaginations and basic understanding of the meaning of definitions of elementary-level calculus. I think these easy counter-examples will give us  “the first stable step” to get accustomed to building more complicated and significant both examples and counter-examples in other fields of mathematics.

 

https://hongnguyenqu...le-in-calculus/







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