微积分教学中几个问题的思考  

Thinking on Several Problems in Calculus Teaching

作　　者：马玉梅 刘恒 周文书 王金芝 齐淑华 MA Yu-mei;LIU Heng;ZHOU Wen-shu;WANG Jin-zhi;Qi Shu-hua(School of Science,Dalian Minzu University,Dalian Liaoning 116650,China)

机构地区：[1]大连民族大学理学院,辽宁大连116650

出　　处：《大连民族大学学报》2020年第5期434-436,共3页Journal of Dalian Minzu University

基　　金：大连民族大学一流课程建设项目(YLKC20101);大连民族大学教育教学改革专项基金项目(202018)。

摘　　要：由微积分教学中出现的几个问题引发思考。首先讨论了国内外教材关于连续函数定义的差异;其次讨论了求极限过程中两个无穷小相减时的等价替换问题;最后给出伯努利不等式的再推广及应用,以期对微积分教学有所帮助。Several problems in calculus teaching cause us to think.Firstly,the paper discusses the differences between the definitions of continuous functions in domestic and foreign textbooks.Secondly,the equivalent substitution problem of two infinitesimal subtracting is discussed.Finally,the extension and application of Bernoulli inequality are given.It is expected to be helpful to calculus teaching.

关 键 词：连续 等价无穷小替换 伯努利不等式 

分 类 号：O172.2[理学—数学]