摘要
关系映射反演思维是数学中的一种重要思维方法,在许多数学问题的求解中可以通过关系映射反演思维达到化繁为简.研究了RMI原则在函数求导、不定积分计算、微分方程求解、傅里叶级数展开以及数学建模中的应用,目的是培养学生创新思维能力和科学研究的思想方法.
Relation-mapping-inverse rule is one of the most important mathematics thinking method, which can be used to solve many mathematical problems by changing difficult to brief. In order to cultivate the creative thinking and scientific research method of the students, explored the application of RMI rule in advanced mathematics, including derivative of functions, the calculation of indefinite integral, the differential equation, Fourier series and mathematical modeling.
出处
《高师理科学刊》
2015年第5期64-66,共3页
Journal of Science of Teachers＇College and University
基金
解放军信息工程大学教育教学研究青年专项课题(XD2013308A)
解放军信息工程大学和军队"2110工程"建设项目(620022)
关键词
RMI原则
换元积分法
微分方程
傅里叶级数
数学建模
RMI rule
substitution rule of integral
differential equation
Fourier series
mathematical modeling
