Math Pi

Welcome to free online math tutors,
pi shows up in so many other places in mathematics, this guy
might find himself asking: "Why is the ratio of circumference to
diameter close to pi for small circles, but not for large ones?" And
if he investigated that question deeply enough, get more on math forum;he might eventually be discover that there are other ways of measuring distances than always
going along the surface of the earth.

That is, he might learn to think
in terms of three (or more) dimensions, even if he can't directly
experience those dimensions. continue reading on free math help online.

Reading math material

Greetings from math online tutor,
Read the
relevant part _before_ each lecture, rather than hearing it for the
first time in the lecture.

This _sounds_ like a lot of extra work, but it's not. Suppose you
have lectures A, B, and C that cover reading material a, b, and c.
Most students would do this:

Listen to A; read a; listen to B; read b; listen to C; read c.

I'm suggesting that you do this instead:

Read a; listen to A; read b; listen to B; read c; listen to C.

As you can see, it's the same amount of work. Only the order is
different. And the reason the order is so crucial is the one I've
already mentioned: If you don't understand something in the reading
material, you can ask about it in the lecture where the material is
covered, which is no extra trouble for the teacher. online math forum;
But if you try to ask a question about yesterday's material in today's lecture, the
teacher will be impatient to move on, and it's likely that you won't
get the answer you need, if you get one at all. View more on math forum.

How to remember formulas

Welcome to math online tutor,

One trick you can use when trying to remember patterns or principles
is to encode them as examples. For example, for the life of me I can
never remember whether (a^b)^c is a^(b+c) or a^(bc). So whenever I
need to know, I drag out this example:

(a * a) * (a * a) * (a * a) = a^6, so (a^2)^3 = a^6

which means that it must be (bc), and not (b+c). Does this get
tiresome? You bet. Is it preferable to guessing wrong? You bet!

Two other tricks I can recommend are:

Try teaching what you've learned to someone else. This is probably
the single most effective way of learning anything, especially if the
other person is having difficulty learning it. learn more on math forum; It forces you to think
of new ways to understand the material, in order to avoid presenting
it in the same old way. more examples on online math tutoring.

Remembering formulas

Welcome to free math help online,
I can sympathize with you, because I have a similar problem. I've
_never_ been able to remember formulas, and the way that I've had to
compensate is that whenever I learn a new formula, I have to learn how
to derive it from first principles - by which I mean, the things that
are so basic that I _can't_ forget them.

(One of the luckiest breaks I ever caught in my life was when I took
second-semester calculus in college. examples on math forum; That's the semester when you
have to memorize about a zillion formulas that all look pretty much
the same - one plus or minus the sine or cosine of plus or minus
something, under or over the square root of something similar - so I
fully expected to fail. But on the first day, the professor said: "I
don't expect you to remember anything that I can't remember, and the
only thing that I can remember is that cos^2 + sin^2 equals 1." So
you're not alone!)

I hope the above explanation was useful, now let us study more on online math forum.

Math Derivations

Welcome to online math tutoring,

Mathematicians can come up with some pretty weird stuff,
but the individual steps in each derivation are built entirely on
processes like the one outlined above.

Additionally, mathematical
publications are very closely scrutinized by several mathematicians
other than the author before being published, and are often criticized
by even more after publication.

All of this amounts to a good
assurance that theorems do in fact follow from assumptions. more explanations on free online math tutor and math forum.