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Week 7 had a lot about 
congruences. This is one of these

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key concepts in this course,

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and in general. I mean you'll find
congruences are used in a lot of

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spots now that you - well 
once you know what it is,

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you'll start to see 
it in different areas,

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not just in mathematic 
but in other areas of

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your studies at
university, and

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you'll be able to use it -
like once you understand it,

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you'll be able to 
make connections and…

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it'll help you in the long term. I 
don't even know what else to say. 

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Let me just leave it at that.

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So again these bullets 
at the side, these are

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basically number markers, so 
multiply it by 2 and roughly every

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2 minutes is one 
of these bullets.

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So this week, we have a 
couple more named theorems.

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Again congruence are at 
the core of all of these.

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I think the word “congruent” 
is in each of these theorems.

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We have a couple of examples,

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and then we talked, at the end of the
week, we talked about linear congruences,

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and I actually broke this 
video up into two parts.

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So there is a second part 
on the integers modulo m

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So if you're looking for that 
concept and don’t see it here,

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check out the second video.