Open course ware

PHILIP PEARCE: Yes, so I think that the real difference between when you guys first ran the course, which I think was in 2015, and now when I run the course, is that Jen has helped to develop this online MITx platform. Now it's really a flipped classroom course. So it has this blended learning aspect to it where the students complete online reading before they attend the classroom hours. And then in the classroom, we really go through examples, worked examples, where the students can apply the theory that they've learned while they did the online reading. I think this is the key thing that you guys and Jen and myself really saw the course being when I started teaching it. JEREMY ORLOFF: So how do you ensure that they do the online reading? PHILIP PEARCE: So the online reading has many examples where the students can attempt something, attempt a question. And 10% of the grade for the course, is given to them for getting these questions right. It's a small incen...

Yes, OK, four, three, two, one, OK, I see you guys are in a happy mood. I don't know if that means 18.06 is ending, or, the quiz was good. Uh, my birthday conference was going on at the time of the quiz, and in the conference, of course, everybody had to say nice things, but I was wondering, what would my 18.06 class be saying, because it was at the exactly the same time. But, what I know from the grades so far, they're basically close to, and maybe slightly above the grades that you got on quiz two. So, very satisfactory. And, then we have a final exam coming up, and today's lecture, as I told you by email, will be a first step in the review, and then on Wednesday I'll do all I can in reviewing the whole course. So my topic today is -- actually, this is a lecture I have never given before in this way, and it will -- well, four subspaces, that's certainly fundamental, and you know that, so I want to speak about left-inverses and right-inverses and then...