一般工科院校微积分实验课程案例分析

微积分理论与方法对大学生后续专业课程的学习有着非常重要的影响。在本科阶段的学习中,将数值实验有机地融入到大学数学课程,并充分运用信息技术的优势,既可以有效地拓宽学生的知识面,增强学生的兴趣,又可以提高学生学习数学、使用数学的主动性和积极性;在理科基础理论课程中增加实验、实践等教学环节,可以更好地培养学生的创新意识和应用能力。从导数定义出发,引出差分方法数值求解具体的常微分方程。基于数值方法MATLAB程序实现,展现数值方法在解决具体问题中的实际效果,提高学生对数学实验课的重视,培养学生科学计算能力。

Case analysis for the experiment course of calculus in ordinary engineering university

Calculus play an important role in the following specialty courses for most of college students.In the undergraduate study,if the numerical experiment can be combined with mathematical theory course as an organic teaching progress and the advantages of information technology is fully used in this teaching progress,we can effectively expand the student’s knowledge,strengthen their interest to study,but also we can improve their initiative and enthusiasm in study of mathematics,use of mathematics.Putting the experiment,practice and so on into basic courses of science,we can cultivate students’ innovation consciousness and application ability.In this work,the difference method to numerically solve the ordinary differential equation is obtained by the definition of derivative.Based on MATLAB procedures of the numerical method,actual effects of the numerical method in solving specific problems are shown to students.Their attention and interest to the mathematical experiment course are enhanced