1 00:00:00,000 --> 00:00:00,033 2 00:00:00,033 --> 00:00:02,433 This week, again, so a 
long table of contents. 3 00:00:02,433 --> 00:00:04,433 The idea is that every bullet 
should cover one minute, 4 00:00:04,433 --> 00:00:08,066 so if you'd like to look at a specific 
topic go to that minute mark 5 00:00:08,066 --> 00:00:10,233 and hopefully 
it's there. 6 00:00:10,233 --> 00:00:13,066 Clearly we'll be off by a minute 
since we start at zero minutes. 7 00:00:13,066 --> 00:00:16,733 We'll talk about divisibility theorems,
converses, “if and only if”’s. 8 00:00:16,733 --> 00:00:20,433 We spent a lecture talking about 
sets, those are pretty important, 9 00:00:20,433 --> 00:00:23,533 and they’ll be used throughout 
your mathematical career. 10 00:00:23,533 --> 00:00:28,433 Quantified statements, again, another 
core concept of mathematics, in general. 11 00:00:28,433 --> 00:00:30,633 So we'll talk about “for 
all” and “there exists”. 12 00:00:30,633 --> 00:00:33,166 We'll talk about assuming “for
all” statements, we'll talk about 13 00:00:33,166 --> 00:00:35,900 domain and how it's 
important for problems, 14 00:00:35,900 --> 00:00:38,733 and then we'll talk about approach 
to quantified statement problems, 15 00:00:38,733 --> 00:00:40,933 if you're trying to prove or disprove 
them, how do you do that? 16 00:00:40,933 --> 00:00:44,700 Then we'll talk about negating and 
nesting quantifiers to finish up the week. 17 00:00:44,700 --> 00:00:44,866 Then we'll talk about negating and 
nesting quantifiers to finish up the week.