微积分思想和方法在大学物理教学中的应用和研究  

The application and study of ideas and methods of calculus in the teaching of university physics

作　　者：黄熙[1] 饶识 谭艳蓉 郭健勇[1] 陈飞明[1] 管薇[1] 胡中华 许明耀[1] HUANG Xi;RAO Shi;TAN Yan-rong;GUO Jian-yong;CHEN Fei-ming;GUAN Wei;HU Zhong-hua;XU Ming-yao(School of Mathematical & Physical Sciences, Wuhan Textile University, Wuhan 430200,China;School of Science, Hubei University of Technology, Wuhan 430068,China)

机构地区：[1]武汉纺织大学数理科学学院,湖北武汉430200 [2]湖北工业大学理学院,湖北武汉430068

出　　处：《湖北师范大学学报（自然科学版）》2021年第3期99-104,共6页Journal of Hubei Normal University：Natural Science

基　　金：2021年武汉纺织大学教学研究项目(2021JY067)。

摘　　要：针对当前学生的高等数学基础不扎实、没有真正理解导数、微积分的意义,以致于学习《大学物理》信心不足甚至有畏难情绪的现状,探讨了微积分在大学物理中的应用,包括极限思想、微元、积分方向、标量和矢量求导、标量和矢量积分、微积分方法、导数和积分的几何意义等。通过理解和掌握导数和微积分的物理和几何意义,可以进一步提高大学物理教学质量。Aim to the current situations that the students’foundation of advanced mathematics is not solid to really understand the meaning of derivative and calculus that they feel unconfident and even difficult in studying university physics,we have explored the application of calculus in university physics including limit thought,differential element,integral direction,scalar and vector derivative,scalar and vector integration,calculus method,the geometric meaning of derivative and integral,etc.The quality of university physics teaching can be further improved by understanding and mastering the physical and geometric meaning of derivative and calculus.

关 键 词：微积分 极限 微元 导数 大学物理 

分 类 号：G642[文化科学—高等教育学]