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So this week, 
we have

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a lot of topics. 
Again, I'm going to

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use these as timing 
cues. So if you'd like…

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just take - so for example number 1, 
number 2, number 3, every one of these

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should be approximately 
2 minutes, so

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if you get a chance, 
or if you want to

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just go to a certain topic, 
you can just do that by

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using that approximate 
timing cue.

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Instead of going through each of 
these bullets on this table of contents,

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what I'd like to do is just 
sort of briefly talk about it.

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Again, there's a lot of 
named theorems here

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1,2, 3, 4, 5, 6, there's at least
8. I think there's actually more

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I didn't actually cover 
them all in this video.

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But there's a lot of them.

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This can get overwhelming. 
Don't get overwhelmed.

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You're trying to use 
your toolbox now

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from the first 4 weeks of the course, 
which was all proof techniques

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to prove different theorems
in mathematics.

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And in this week, we're going to use
number theory as our basis and

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specifically we're going to talk about
the greatest common divisor.

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Again instead of going through all the bullets, 
let's just head right through it, okay?

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That's the main 
overview of this week,

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a lot of topics related to 
the greatest common divisor.