浅谈微积分在大学教学和实际生活中的应用

Application of calculus in university teaching and real life

微积分是微分学和积分学的合称,它作为数学学科的重要分支,不但在数学学科中占据着非常重要的地位,并且在力学、经济学、生物学、天文学等领域内也有非常重要的作用,同时,20世纪中叶电子计算机的出现也使得微积分的应用范围得到了拓展。函数的产生促进了科学技术的快速发展,微积分也应运而生。微积分对于我们解决相关问题有很大帮助,比如,利用微积分来预测答案(利用极限的思想)、确定一些简单的学习方法、投资决策、对实际问题进行数学建模等,这些问题都可以通过微积分的知识和方法来进行分析,并找出其中的规律,从而做出决策。

The calculus is the integration of the differential and calculus,it is an important branch of mathematics,not only occupies a very important position in mathematics,but also has very important role in mechanics,economics,biology and astronomy,at the same time,the emergence of the computer in the middle twentieth Century makes the application of calculus obtain the development.The appearance of function to promote the rapid development of science and technology,calculus also emerge as the times require.Calculus is of great help for us to solve the problem,for example,to predict the answer using calculus(using the limit idea),identify some simple learning method,investment decision-making,mathematical modeling of practical problems,these problems can be through knowledge and methods of calculus to analyze,and find out the rules,so as to make decision.