What's a function, what's a derivative, what's a second derivative, how to take derivatives of elementary functions, how to do elementary integrals.

什么是函数,什么是导数,什么是二阶导数,如何对初等函数求导,如何进行初等积分

耶鲁公开课 - 基础物理课程节选

And, if you ever get confused, the way to remember these is that you know energy is the integral of a force moving through a distance.

如果你感到很困惑的话，可以这么来记,能量是在沿力的方向进行路径积分。

麻省理工公开课 - 固态化学导论课程节选

The basic idea in solving these equations and integrating is you find one answer, so then when you take enough derivatives, the function does what it's supposed to do.

解决这类方程以及积分的基本思想就是,你求出一个解,然后进行多次求导,求导的结果就满足条件

耶鲁公开课 - 基础物理课程节选

Energy is the integral of force moving through a distance.

能量是在沿力的方向,进行路径积分。

麻省理工公开课 - 固态化学导论课程节选