高等數(shù)學實驗設計

摘 要

本論文分為兩個部分：前1部分闡述的是數(shù)學實驗的深刻內(nèi)涵及其產(chǎn)生的歷史背景，簡要的說明了它的出現(xiàn)是適應社會潮流的，是人們對數(shù)學認識不斷加深與計算機技術發(fā)展的結(jié)果。并對數(shù)值計算功能強大、圖象處理便利的開發(fā)工具MATLAB軟件作了簡單的介紹；后1部分通過幾個具體實例，論述了數(shù)學實驗在高等數(shù)學應用中的深刻影響，將理論知識與計算機知識進行了有機的結(jié)合。在具體應用中的體現(xiàn)：以簡練的自然語言描述了各實例的基本算法，運用MATLAB作為編程語言，實現(xiàn)了數(shù)列極限的求解、定積分的求解、平面圖形面積及平面曲線長度的求解、求曲線切線的過程、旋轉(zhuǎn)體體積的求解及其形成過程等幾個問題。最后對數(shù)學實驗的發(fā)展前景作了簡單的介紹

關鍵詞： 數(shù)學實驗；高等數(shù)學；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;

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