Lecture 7

I think I have a conclusion: Mondays are bad for lectures. I had another bad lecture today, and it wasn't even close. I think the reason is that I got complacent with the materials that were prepared for last Friday, so I didn't go through it to make sure that I can explain clearly. Also, I guess I just didn't spend enough time when preparing isomorphism stuff, so it came out pretty badly. So yeah, I really need to spend a lot more time with the prep work Sunday nights, which I didn't get last night.

I'm really on edge now, since I'm going to be teaching things I haven't learned properly yet...

I have never really given a reasonable explanation for changing the coordinates...