The first day of class he handed out our coursework for the semester. I asked if it was OK to hand in homework early. He said it was. The next class I handed in the first 3 days of homework. The following I handed in 3 more. The third class I said there didn't seem to be much point in my being there, did he mind if I just handed in the homework?
A few weeks later when I walked into another course I was taking with a lot of the same people a lot of them started congratulating me. I was puzzled. They explained that one had asked whether I was dropping the class since I hadn't been going and so they heard that I was actually taking the final exam that day.
I did the follow-up course the following month. :-)
Another time I taught my brother the basics of differential calculus in about half an hour or so. Well enough that he was able to go into a course that had that as a prerequisite and he managed to ace that course.
So yes, the difference between what we are asked to do and what we can do is pretty large.
The first day of class he handed out our coursework for the semester. I asked if it was OK to hand in homework early. He said it was. The next class I handed in the first 3 days of homework. The following I handed in 3 more. The third class I said there didn't seem to be much point in my being there, did he mind if I just handed in the homework?
A few weeks later when I walked into another course I was taking with a lot of the same people a lot of them started congratulating me. I was puzzled. They explained that one had asked whether I was dropping the class since I hadn't been going and so they heard that I was actually taking the final exam that day.
I did the follow-up course the following month. :-)
Another time I taught my brother the basics of differential calculus in about half an hour or so. Well enough that he was able to go into a course that had that as a prerequisite and he managed to ace that course.
So yes, the difference between what we are asked to do and what we can do is pretty large.