基于Matlab软件的高等数学教学研究

Research of higher mathematics teaching based on Matlab software

高等数学是一门理论性较强、内容复杂的专业基础课,该课程能培养学生具有抽象思维能力、逻辑推理的能力、空间想象的能力,更重要的是使学生能运用所掌握的高等数学特有的思维方法去分析、解决现实中一些问题。然而学生在学习该课程的过程中,很难充分理解高等数学中抽象的理论,甚至无法将一些数据处理为实际的图形。提出在高等数学教学中,将Matlab软件作为一种辅助工具用于处理抽象复杂的数据运算和图形,具体给出了Matlab分别在函数极限处理、导数的应用、积分的概念、曲线图形的绘制等方面应用的实例。将Matlab软件处理结果与理论相结合,呈现给学生的结果是更生动、直观和易接受,教师在教学上达到了理想的效果。

Higher mathematics is a professional basic course with strong theoretical content and complicated contents,this course can cultivate students have the ability to extract the abstract concept,logical reasoning ability,space imagination ability,and what＇s more,this course is to make the student be able to use knowledge of characteristic of higher mathematics thinking method to analyze and solve some problems in reality. However,in the process of learning the course,it is difficult for the student to fully understand the abstract theory in higher mathematics,and even can not deal with some data into actual graphics. In the higher mathematics teaching,we proposed that Matlab software is used as an auxiliary tool for processing complex data computing and graphics. The application of Matlab software in the the limit of function processing, derivative application and integral concept, curve drawing is illustrated by examples. Combining the results of Matlab software with the theory,the results presented to students are more vivid,intuitive and easy to accept,and teachers achieve the desired effect in teaching.