高等数学实验设计

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翻新时间：2013-12-18

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高等数学实验设计

摘要

本论文分为两个部分：前1部分阐述的是数学实验的深刻内涵及其产生的历史背景，简要的说明了它的出现是适应社会潮流的，是人们对数学认识不断加深与计算机技术发展的结果。并对数值计算功能强大、图象处理便利的开发工具MATLAB软件作了简单的介绍；后1部分通过几个具体实例，论述了数学实验在高等数学应用中的深刻影响，将理论知识与计算机知识进行了有机的结合。

在具体应用中的体现：以简练的自然语言描述了各实例的基本算法，运用MATLAB作为编程语言，实现了数列极限的求解、定积分的求解、平面图形面积及平面曲线长度的求解、求曲线切线的过程、旋转体体积的求解及其形成过程等几个问题。最后对数学实验的发展前景作了简单的介绍

关键词：数学实验；高等数学；MATLAB

Abstract

This paper is divided into two parts : the first part is on the profound meaning of mathematical experiment and the resulting historical background, a brief description of its appearance is to adapt to the social trend is for people to constantly deepen understanding of mathematics and computer technology development results. And the terms powerful, image processing tools to facilitate the development of a simple presentation MATLAB software; Through the latter part of a few specific examples of experiments in mathematics discussed the profound impact of the application of higher mathematics, theoretical knowledge and the organic integration of computer knowledge. In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues. Finally on the development prospects of a simple mathematical experiment presentation.

Keywords： Mathematics experimental; Higher Mathematics; MATLAB;