一类可降阶高阶微分方程的教学设计  

Instructional Design for a Class of Higher Order Differential Equations with Reduced Order

作　　者：张天平[1] 马元魁[2] ZHANG Tianping;MA Yuankui(School of Mathematics and Information Science, Shaanxi Normal University, Xi＇an, 710119, PRC;School of Science, Xi＇an Technological University, Xi＇an,710021, PRC)

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710119 [2]西安工业大学理学院,陕西西安710021

出　　处：《高等数学研究》2018年第3期60-61,59,共3页Studies in College Mathematics

基　　金：西安工业大学教学改革研究项目(16JGY33);西安工业大学研究生教育教学改革研究项目(XAGDYJ160220)

摘　　要：给出针对一类可降阶高阶微分方程的一种教学设计.以趣味故事作为实例引入,得出悬链线所满足的一类高阶微分方程,找出通用的求解方法对其求解.使学生对求解方法印象深刻,并对微分方程的应用有一个初步的了解.在教学过程中,步步引导,全程既具有趣味性又具有启发性.An instructional design for a class of higher order differential equations with reduced order is provided.Starting with interesting stories as examples,a class of higher order differential equations is obtained,and the common method for solving the equations is used.Students are impressed with the solution and have a preliminary understanding of applications of differential equations.The whole process is both interesting and instructive.

关 键 词：微分方程 悬链线 教学设计 

分 类 号：O171[理学—数学]