1 00:00:00,000 --> 00:00:04,000 So here we have an outline of 
the topics discussed in this video. 2 00:00:04,000 --> 00:00:07,100 There's going to be a lot of 
theorems, not too many examples. 3 00:00:07,100 --> 00:00:07,900 4 00:00:07,900 --> 00:00:11,166 I think that's okay. The examples 
are in the notes. They're quite… 5 00:00:11,166 --> 00:00:13,633 there's a lot to some of the examples, 
so they're worth checking out, 6 00:00:13,633 --> 00:00:17,066 but I don't think they're appropriate for this sort of video series. 7 00:00:17,066 --> 00:00:19,833 As a reminder, every bullet 
represents roughly 2 minutes, 8 00:00:19,833 --> 00:00:20,600 9 00:00:20,600 --> 00:00:22,400 sometimes 3, 10 00:00:22,400 --> 00:00:25,000 and again that these videos 
aren't meant to replace lectures. 11 00:00:25,000 --> 00:00:28,100 They’re meant as a supplement to lecture, 
oh if I missed that part of the explanation 12 00:00:28,100 --> 00:00:30,566 in one of these theorems 
then maybe I can… 13 00:00:30,566 --> 00:00:32,966 then maybe you can catch up on them 14 00:00:32,966 --> 00:00:35,666 through these video series.