关于工科微积分中极限理论教学的讨论  

On Limit Theory Teaching in Calculus

作　　者：范周田[1] 张汉林[1] FAN Zhou tian;ZHANG Han lin(College of Science, Beijing University of Technology , Beijing 100124,China)

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《大学数学》2017年第5期62-66,共5页College Mathematics

摘　　要：极限理论是微积分学的理论基础,也是微积分入门的主要障碍之一.如何克服这一困难,是微积分教学中不得不面对的问题.本文从大小比较的角度出发阐释极限理论,提供一种从直观认识到严格认知的途径,降低极限理论的学习难度.The theory of limitation is not only theoretical base of calculus,but also one of main obstruct to study calculus at the beginning.How to solving this bump is the problem which we had to face with.We explained theory of limitation from comparing big and small,which provided a method from direct to cognitive approaches so that it reduced the difficult of theory of limitation.

关 键 词：数列 极限 无穷小 比较法 

分 类 号：O172.1[理学—数学]