高师理科学刊
高師理科學刊
고사이과학간
JOURNAL OF SCIENCE OF TEACHERS' COLLEGE AND UNIVERSITY
2015年
5期
64-66
,共3页
RMI原则%换元积分法%微分方程%傅里叶级数%数学建模
RMI原則%換元積分法%微分方程%傅裏葉級數%數學建模
RMI원칙%환원적분법%미분방정%부리협급수%수학건모
RMI rule%substitution rule of integral%differential equation%Fourier series%mathematical modeling
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.
關繫映射反縯思維是數學中的一種重要思維方法,在許多數學問題的求解中可以通過關繫映射反縯思維達到化繁為簡.研究瞭RMI原則在函數求導、不定積分計算、微分方程求解、傅裏葉級數展開以及數學建模中的應用,目的是培養學生創新思維能力和科學研究的思想方法.
관계영사반연사유시수학중적일충중요사유방법,재허다수학문제적구해중가이통과관계영사반연사유체도화번위간.연구료RMI원칙재함수구도、불정적분계산、미분방정구해、부리협급수전개이급수학건모중적응용,목적시배양학생창신사유능력화과학연구적사상방법.
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 RMIrule in advanced mathematics, including derivative of functions,the calculation of indefinite integral,the differential equation,Fourier series and mathematical modeling.