ALGEBRA 2.
OK. So what are you going to learn here?
You will learn about Numbers, Polynomials, Inequalities, Sequences and Sums, many types of Functions, and how to solve them.
You will also gain a deeper insight into Mathematics,
get to practice using your new skills with lots of examples and
questions, and generally improve your mind.
With your new skills you will be able to put together
mathematical models so you can find good quality solutions to many
tricky real world situations.
Near the end of most pages is a "Your Turn" section ... do these! You need to balance your reading with doing.
Answering questions helps you sort things out in your mind. And don't
guess the answer: use pen and paper and try your best before seeing the
solution.
Language
So what is this thing called Mathematics? And how do you go about learning it?
Numbers
Now you know what a set is, let us look at different sets of numbers that you will be using:
Inequalities
"Equal To" is nice but not always available. Maybe you
only know that something is less than, or greater than. So let us learn
about inequalities.
Exponents
You will be using exponents a lot, so get to know them well.
Polynomials
Polynomials were some of the first things ever studied in
Algebra. They are simple, yet powerful in their ability to model real
world situations.
Equations
And, of course, you need to know about equations ... and how to solve them.
Graphs
Graphs can save you! They are a great way to see what is
going on and can help you solve things. But you need to be careful as
they may not always give you the full story.
Linear Equations
They are just equations for lines. But they come in many forms.
Functions
A function just relates an input to an output. But from that simple foundation many useful things can be built.
Equations of Second Degree
"Second degree" just means the variable has an exponent of 2, like x2. It is the next major step after linear equations (where the exponent is 1, like x).
Solving
You already have experience in solving, but now you can learn more!
Solving Inequalities
We learned about inequalities above, now let's learn how to solve them.
Exponents and Logarithms
You know about exponents ... well logarithms just go the other way. And together they can be very powerful.
Systems of Linear Equations
What happens when you have two or more linear equations
that work together? They can be solved! It isn't too complicated, but
can take quite a few calculations.
Probability
Is it likely? You be the judge!
Sequences, Series and Partial Sums
A Sequence is a set of things (usually numbers) that are
in order. You can also sum up a series, where Sigma Notation is very
useful.
Finally
These last few subjects use what you have learned above.
And that is all!
Other Algebra topics that may interest you now:
Introduction to Integration
,
Basic Algebra Definitions
