基于系统效能的微积分基本公式教学设计

Teaching Design of Fundamental Theorem of Calculus based on System Efficiency

针对军队院校本科学员学习高等数学课程重要知识点的困难与挑战,依据“两性一度”金课标准,借助系统效能评估方法中的可靠性函数表达式与可靠工作概率公式之间的关系以及机械装备在运动时等效构件满足的能量形式运动方程式,从简单军事问题的背景分析过程中,提炼出微积分基本公式的具体形式,以军事应用带动数学知识传授,极大提高军校学员的学习兴趣和内驱力,进一步提高自主学习的能力.

There are difficulties and challenges for undergraduates in military academy in learning important knowledge of Higher Mathematics.According to the Golden Class Standard,the fundamental theorem of Calculus is separated from the contextual analysis of simple military issues,by the relationship of reliability function and the probabilistic formula for reliable work in the system effectiveness assessment method and the equation of motion in the form of energy satisfied by the equivalent components during the movement of mechanical equipment.Thus,the teaching of mathematical knowledge is driven by military applications.Furthermore,the learning interest and internal driving force of undergraduates have been greatly improved,and the ability of self-help learning has been further improved.