微积分是大学理工科学生的必修课程,导数是微积分的核心概念之一。微积分中的许多知识点,例如,函数的单调性,曲线的曲率,微分中值定理等,都与导数有密切的关系。文章着重讲解如何引导学生深刻理解导数的概念及本质含义,了解导数在其他...微积分是大学理工科学生的必修课程,导数是微积分的核心概念之一。微积分中的许多知识点,例如,函数的单调性,曲线的曲率,微分中值定理等,都与导数有密切的关系。文章着重讲解如何引导学生深刻理解导数的概念及本质含义,了解导数在其他学科中的应用。并以此教学单位为例,说明如何将思政元素自然地融入微积分教学。Calculus is a compulsory course for science and engineering students in universities, and derivative (also known as micro-quotient) is one of the most important concepts of calculus. Many concepts and properties in calculus, including the monotonicity of functions, the curvature of curves, the differential median theorem, etc., are all closely related to derivatives. This article focuses on how to understand the concept and practical significance of derivatives. We also illustrate how to integrate ideological-political elements into the teaching of calculus.展开更多
文摘微积分是大学理工科学生的必修课程,导数是微积分的核心概念之一。微积分中的许多知识点,例如,函数的单调性,曲线的曲率,微分中值定理等,都与导数有密切的关系。文章着重讲解如何引导学生深刻理解导数的概念及本质含义,了解导数在其他学科中的应用。并以此教学单位为例,说明如何将思政元素自然地融入微积分教学。Calculus is a compulsory course for science and engineering students in universities, and derivative (also known as micro-quotient) is one of the most important concepts of calculus. Many concepts and properties in calculus, including the monotonicity of functions, the curvature of curves, the differential median theorem, etc., are all closely related to derivatives. This article focuses on how to understand the concept and practical significance of derivatives. We also illustrate how to integrate ideological-political elements into the teaching of calculus.
