Wolfram Alpha在常微分方程教学过程中的应用  

Application of Wolfram Alpha in the Teaching Process of Ordinary Differential Equation

作　　者：赵志国 ZHAO Zhiguo(Henan Institute of Technology,Xinxiang,Henan Province,453003 China)

机构地区：[1]河南工学院,河南新乡453003

出　　处：《科技资讯》2023年第12期188-191,共4页Science & Technology Information

基　　金：河南工学院教育教学改革研究与实践项目(项目编号:LXB-2021006);河南省科技攻关项目(项目编号:212102310827)。

摘　　要：常微分方程作为一门重要数学类专业课,具有理论性和应用性强的特点。由于该课程教学偏向于理论,学生在传统的教学模式中容易混淆并感到枯燥乏味。Wolfram Alpha是一款计算知识引擎,囊括了符号运算、科学计算和图像绘制等功能。该文试图通过将Wolfram Alpha引入课程教学中,以求解析解和数值解为例,让复杂的教学过程简单化,调动学生的动手能力,提高学生兴趣,使学生容易掌握知识难点,体会到数学方法的魅力所在。As an important mathematical course,Ordinary Differential Equation has the characteristics of strong theory and application.Since the teaching of this course is biased towards theory,students are easily confused and bored in the traditional teaching mode.Wolfram Alpha is a computational knowledge engine that includes the functions of symbolic computing,scientific calculation and image drawing.With finding analytical solutions and numerical solutions as and example,this paper attempts to introduce Wolfram Alpha to the teaching of ODE to simplify the complex teaching process,mobilize students'practical ability,improve students'interest in learning,and enable students to easily master knowledge difficulties and experience the charm of mathematical methods.

关 键 词：Wolfram Alpha 常微分方程 解析解 数值解 

分 类 号：G642[文化科学—高等教育学] O1-4[文化科学—教育学]