基于Mathematica软件的三重积分可视化教学应用探索

Visualization of Triple Integral Based on Mathematica Software Exploration of Teaching Application

Mathematica数学软件具有强大的图形绘制处理和数值计算功能,也是一个很好的辅助教学平台。本文主要结合数学分析课程教学过程中的一些常见问题,由例题的形式,首先借助Mathematica软件的绘图功能进行分析和认识空间图形,为此辅助理解三重积分的计算方法及逻辑推导计算过程;其次根据Mathematica软件的数值计算功能,验证例题的结果及更深入理解三重积分的计算。事实证明,利用该软件辅助教学有利于激发学生的学习积极性,加深学生对相关概念及其计算的理解,能够提升学生的数学逻辑思维能力。

Mathematica mathematics software has powerful functions of drawing,processing and numerical calculation,and is also a good auxiliary teaching platform.This paper mainly combines some common problems in the teaching process of mathematical analysis course,first analyzes and understands spatial graphics with the help of the drawing function of Mathematica software in the form of examples,so as to help understand the calculation method of triple integral and the logical derivation calculation process;Secondly,according to the numerical calculation function of Mathematica software,verify the results of the example and understand the calculation of triple integral more deeply.Facts have proved that using this software to assist teaching is conducive to stimulating students'learning enthusiasm,deepening students'understanding of relevant concepts and calculations,and improving students'mathematical logic thinking ability.