摘要
简介了牛顿和莱布尼兹对微积分建立的贡献,探讨了极限和导数的动机.通过剖析"绳子匀速拉船,求船速度和加速度"的案例,综合地将坐标系、矢量、微分加以应用.使学生理解质点速度沿其轨迹切线方向的运动规律,及矢量投影分解的物理要求.
Starting from introducing the contributions of Newton and Leibniz for established calculus, we discuss the motivation of limitation and derivative. Through analyzing an example of “ calculating both velocity and acceleration of a boat moved by equal speed ” , the coordinate system, vector and differentiation are applied compre-hensively. This makes students understand deeply the motion law of a particle and physical requirement of vector projection.
出处
《大学物理》
北大核心
2017年第1期1-3,共3页
College Physics
基金
教育部国家精品视频公开课项目资助
关键词
微积分
力学
开端教学
案例
calculus
mechanics
beginning teaching
example