摘要
通过对磁浮列车悬浮系统的Hopf分支的研究,提出了任课教师将科学研究中的实际问题抽象出来,按照"发现问题、分析问题、解决问题、总结验证"研究过程,"驱动的问题背景、问题的数学描述、所需数学知识、数学推导与证明、数值仿真验证、回归原始问题解释和分析"的步骤,将科研成果转化为精彩教学案例,启发学生通过实际问题的数学分析与处理,激发其活学活用数学兴趣、提高创新能力.
Through the study on the Hopf bifurcation of pattern, some practical problems from scientific research were four stages, i. e., the problem finding, problem analysis maglev system, the authors proposes a teaching reform selected for this course. The teaching was conducted in and modeling, problem solving, the research process summarizing. Four steps are provided such as the problem background, the required mathematical knowledge, mathematical derivation and proof, numerical simulation and application to the original question. Some research results are selected to be the good teaching ease to improve the ability of innovation of the postgraduates.
出处
《大学数学》
2015年第3期117-121,共5页
College Mathematics
基金
国防科技大学研究生数学公共课一流课程体系建设项目
关键词
研究型案例
创新能力
教学案例创新
research of case
the ability of innovation
teaching case innovation
