论大学物理中辨析与理解微积分含义的重要性IMPORTANCE OF DISCRIMINATING AND UNDERSTANDING THE MEANING OF CALCULUS IN COLLEGE PHYSICS
刘菊,程涛,陈健全,严文悦,余祥,刘子豪,郑昌盛
摘要(Abstract):
本文围绕“大学物理”教学中一道经典的电磁感应题目展开了详细探讨,针对学生在求解该题目过程中遇到的困惑与常见错误进行了剖析。分析发现准确把握数学积分运算中各量的物理含义是避免出现该问题的关键,本文系统全面的讨论了在时间变化磁场B(t)、空间变化磁场B(x)及时间空间变化磁场B(x,t)三种不同情形下积分计算结果上的差异,并从物理含义的角度给出了圆满解释,阐明了该问题的本质,也说明了运用微积分解决实际问题时正确理解微积分运算含义的重要性。
关键词(KeyWords): 微积分;大学物理;电磁感应
基金项目(Foundation): 中国矿业大学(北京)大学生创新训练项目(编号:202407001);; 北京高校青年教师创新教研工作室资助项目
作者(Author): 刘菊,程涛,陈健全,严文悦,余祥,刘子豪,郑昌盛
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