基于Matlab的分岔理论互动式教学设计

分岔理论是"混沌与分形"课程中的重要部分,其涉及的概念较为抽象,对数学基础要求较高,工科学生一般较难理解。本文分析了分岔理论教学重点和难点,充分考虑了分岔理论的教学特点和工科研究生的知识结构,提出利用Matlab工具深入讨论分岔理论的互动式辅助教学。该教学方式将抽象的概念形象化,有助于加强学生对相关概念的理解,从而提高该课程的教学效果。

Interactive Teaching Design of Bifurcation Theory by Matlab

Bifurcation Theory is an important part of the Chaos and Fractals course,which involves a more Abstract concept and requires a higher math.It is difficult for engineering students to understand.The paper analyses the teaching emphasis and difficulty of bifurcation theory,and fully considers the characteristics of bifurcation theory and the knowledge structure of engineering graduate.Matlab-based interactive teaching aid is proposed for the discussion of bifurcation theory.The proposed teaching methods visualize Abstract concepts by exploiting Matlab as a communication medium between teacher and students,which strengthen the student’s initiative and understanding of concepts.Thus the effectiveness of teaching is enhanced.