Let's take a look at the table of contents for the week.
So again, if you
look at this table of contents and you see a topic that you like,
just go to that approximate minute in the video.
Scale it as appropriate, and you can watch that clip.
So we're gonna start off with translation from mathematics to English
so how to actually read and write things from English to math and math to English.
We talked about contrapositive, different types of implications,
contradiction, uniqueness,
we also spent a little bit time talking about functions,
so injections and surjections,
we talked about the division algorithm,
and for my class I finished with summation/product notation.
I also finished on Friday with a bunch of random examples,
which you can check out in my lecture 12 notes.
There's just a bunch of problems that you have to figure out what technique to use.
It's a very good way to do mathematics, by the way, to actually
get just a random set of problems and try to do them,
right, because, you know, on a test and things like that,
you're gonna be given problems in a random order.
They're not gonna be, “Oh this is from Chapter 1,
so use Chapter 1 techniques.” No, it's gonna be, “Well
this is a topic and you'll have to figure out what technique to use.”
So it's a good way to practice and, again, if you need to see those or like to see those,
problems and solutions are in Chapter 12,
in my Chapter 12 notes, at the end of them.