初等微积分方法在物理学中的应用  

Application of Elementary Calculus Method in Physics

作　　者：班颖哲 褚湜婧 董文峰 宋林杰 BAN Ying-zhe;CHU Shi-jing;DONG Wen-feng;SONG Lin-jie(School of Mathematical Sciences,Peking University,Beijing 100871,China;National Center for Medical Service Administration,Beijing 100810,China;Department of Physics,Tsinghua University,Beijing 100084,China;Academy of Mathematics and Systems Science Institute of Mathematics,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]北京大学数学科学学院,北京100871 [2]国家卫生健康委医管中心,北京100810 [3]清华大学物理系,北京100084 [4]中国科学院数学与系统科学研究院数学研究所,北京100190

出　　处：《数学的实践与认识》2022年第8期260-271,共12页Mathematics in Practice and Theory

摘　　要：利用不用极限的初等微积分原理,尝试解决物理发展初期和微积分密切相关的几个问题,给出高中生可以接受的讲法,使得高中物理讲授的内容更成体系,更具有一般性.同时有助于高中生在学微积分之前就能够生动形象地理解微积分的核心思想与具体应用,为今后学习微积分奠定良好的基础.Using the principles of calculus without limitation,this paper tries to solve several problems in the early stage of physical development,which are closely related to calculus.We provide a teaching method which is acceptable for high school students,and improve systematicness and generality of the content of high school physics.It will help high school students who havenüt learned Calculus understand the core idea and specific application of calculus vividly,and lay a good foundation for the future study of calculus.

关 键 词：初等微积分 高中物理 导数 积分 

分 类 号：G633.7[文化科学—教育学]