浅谈对高等数学中微元及其辩证思想的一点认识  

A Preliminary Exploration on the Differential Element and Dialectical Thought in Advanced Mathematics

作　　者：王晓莉[1] 宁荣健[1] WANG Xiaoli;NING Rongjian(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2024年第6期57-62,共6页College Mathematics

基　　金：安徽省省级一流课程项目(2022xxkc104);安徽省省级教育教学改革研究项目(2022jyxm1247)。

摘　　要：通过对微元和外微分理论的进一步挖掘,浅谈对微元在高等数学中的地位和作用的再认识,并简述微元所蕴含的若干辩证思想,在课程思政理念下,进一步探索高等数学课程思政与教学内容的自然融合,也为教师的相关教学提供参考.This paper delves deeper into the theory of infinitesimals and exterior differentiation,offering a reassessment of the function and role of infinitesimals in advanced mathematics.It briefly outlines several dialectical ideas contained in infinitesimals,and further explores the natural integration of the curriculum ideology and politic in advanced mathematics with the teaching content,which also provides a reference for related teaching practices.

关 键 词：高等数学 微元 微分的外积 外微分 课程思政 辩证思想 

分 类 号：O13[理学—数学] O172.1[理学—基础数学] O172.2