Again, I'm just trying to highlight things you already know a little bit about, the book describes the details.

这里我也只是,强调一些你可能已略知一二的知识,你们教材里面有相关的细节

耶鲁公开课 - 生物医学工程探索课程节选

As much as I might talk on stage twice a week it turns out that it's really by doing and really by diving in and getting your hands dirty that you really take away the course's lessons.

我一周上两次课,就算说得再多，也不如你们亲自动手,通过真正的深入研究,才能学到知识。

哈佛公开课 - 计算机科学课程节选

I want you to learn by studying the homework.

我希望你们通过作业也能学到知识。

麻省理工公开课 - 固态化学导论课程节选

At the same time, I do mean to give you some sense of the period in which they're writing, some sense of modernism as a field, as one of the richest fields in English language writing.

同时，我也会给你们提供一些背景知识,来了解作者创作的年代，以及现代主义的思想领域，就其作为英语文学创作最丰富的领域之一而言。

耶鲁公开课 - 现代诗歌课程节选

Common knowledge is: "I know something, you know it, you know that I know it, I know that you know it, I know that you know that I know it, etc., etc. etc.: an infinite sequence.

共同知识是指,我知道一件事,你也知道这件事,你知道我知道这件事,我也知道你知道这件事,我知道你知道我知道这件事,以此类推,一个无限的循环

耶鲁公开课 - 博弈论课程节选

That means, when I take two derivatives, I want to get a, then you should know enough calculus to know it has to be something like at^, and half comes from taking two derivatives.

也就是说,当我想求二阶导时,得到了a,你应该有足够的微积分知识,才能知道必须有类似at^的项,而这个1/2则是因为求了两次导数

耶鲁公开课 - 基础物理课程节选