微积分基础理论三个重要节点的研究

Research on basic theories of calculus from three important nodes

微积分的学习,需要改变原来的静态思维模式,把握函数是微积分学科的研究对象,极限是考察数值变化的基本思想,导数是分析函数变化的主要工具.用动态的角度去探索量的变化关系,进而提炼为用哲学的理念去观察事物的现象和发展规律,理解微积分基础的理论结构,最终领悟微积分学的数学思想.

The thinking mode of learning calculus should be changed from the traditional mode to a new mode. In the new mode of learning, the function should be studied, the limit should be paid attention, and the derivative should be used as one of the main tools. The analysis of the change of the quantities should be observed in the dynamic perspective, so that the observation to the phenomenon and developing rules will be on the base of philosophy, and the learning of calculus will be happy.