So, what kind of Algebra topic should you
expect from a finite mathematics course. Hi,
I'm Jimmy, and we're here to talk about that.
I'm going to give you an overview as to what
kind of areas a typical finite math course
will cover, and then I'll discuss with you
very briefly about what kind of Algebra is
expected from these topics. So, the very first
topic that typically is covered is Set Theory.
Now, set theory basically just talks about
combining elements from sets. Basically, what
you're being asked to do is to combine what
the two sets have in common, as well as putting
the sets together and see what how many elements
you have at the very end, or rather how many
things that they have in common. And there's
a lot of addition, subtraction involved, and
most of the time you're working with whole
numbers so it there isn't a lot of in depth,
hardcore mathematics; however, the one thing
you may have to keep in mind is exponent rules.
So like for example, if you're asked to find
out for example what two to the third happens
to be you might be expected to know that two
to the third power is eight. Now, the second
kind of topic that you might be expected to
go over in a finite math course is that of
Logic. There really isn't a lot of algebra
in this particular topic in that you're working
with mostly new symbols that you may not have
seen before, and the only kind of algebra
that might be expected is, again, that of
exponents. So for example, you might be expected
let's just say to find out what two to the
fourth power is, and after a little bit of
work you might see that two to the fourth
power is sixteen. A third kind of topic that
typically is covered in a finite math course
is that of Probability. With probability there
is a lot of multiplication, division, quite
a bit of fraction work, addition, subtraction
as well, and but for the most part the math
that you're going to going, be going over
here is arithmetic. A fourth topic is Statistics.
There is a lot of number gathering, addition,
subtraction. You might be asked how to square
something; for example five squared you'll
be expected to know is twenty-five. And the
little bit of algebra that you might be expected
to use here is square root. In other words,
if you want to find the square root of sixteen
it's going to be four. And last but not least
in a finite math course you typically get
into Geometry. Not the proofs, but finding
the area, volume of things, and something
known as the Pythagorean theorem which you
know to be a squared plus b squared equals
c squared. And the only thing that you might
be expected to do is take the square root.
So, here's how algebra is used in finite mathematics.
