摘要
文章以探究式教学为主,从多项式逼近函数问题出发,通过类比的思想方法引出两种形式的Taylor定理及其余项,并分析其优缺点。文章的最后,以sinx为例,借助matlab数学软件将抽象的理论知识与函数图像结合起来,从几何直观上加深对Taylor定理的理解。
This paper is based primarily on inquiry-based teaching,it begins from the problem of polynomial approximation function,by means of analogy,the author educes two forms of Taylor Theorem and its remainder terms,and analyzes their respective strengths and weaknesses. In the end,the author takes sinx as an example and integrates the abstract theories with the function image by employing matlab software in order to further the visualized understanding of Taylor Theorem in terms of geometry.
作者
周艺璇
ZHOU Yixuan(School of Science and Technology,Sichuan Minzu College,Kangding 626000,Sichuan)
出处
《攀枝花学院学报》
2021年第2期114-118,共5页
Journal of Panzhihua University
基金
四川民族学院校级教改课题“师范认证背景下的实践教学体系的建设与改革--以数学与应用数学专业为例”(xjjg2018008)
四川民族学院校级科研课题“包虫病时空传播动力学与控制研究”(ZXYB19009ZB)
关键词
探究式教学
多项式逼近函数
TAYLOR定理
余项
inquiry-based teaching
polynomial approximation function
Taylor Theorem
remainder term
