As you very well know, I’m taking Math 1a, Harvard’s Single Variable Calculus class.
The second topic was easy enough, which were functions, something already discussed in pre-calculus classes. Standard, domain, co-domain stuff.
The third topic was interesting. It was about limits, which was what a function is approaching to as the index approaches a value. The idea is simple, but I can already imagine the ramifications of such an idea. We look at the values around the ‘answer’, instead of actually looking at the ‘answer’, and with the idea of calculus as the study of change.
Now perhaps its too early to say this, but I am largely betting on the fact that by solving the homework, we are actually proving a law or something in that sense. The problems are a bit tough, and generally does not only involve the topic being discussed but something more.