Chapt26 New Math can teach the essence of Calculus in just one hour #782 Correcting Math 3rd ed
Archimedes Plutonium
teach what Calculus is, in just
one, one hour course. Old Math could never do this because they were
bogged down with a irrelevant concept of limit. In New Math we
recognize that it is not the limit that makes Calculus what it is, but
it is the fact that numbers produce angles, hidden angles that are not
seen but are there nonetheless. And it is these angles that create the
derivative and integral of any given function.
So let us step into this one, one hour classroom of New Math that
teaches the Calculus, the fundamentals of Calculus in that one hour.
In New Math we see the Calculus as just a refined form of trigonometry
and as coming out of trigonometry. In New Math we realize that the
fundamental feature of Calculus is that we have an
"angle" involved. Whether we are doing derivatives or doing integrals,
we are hunting for an angle that is represented by the points of the
graph.
I find ascii art painful to do, so I want to use them
many times to eke out their pain they caused me.
Here we draw any function on the blackboard and call it function "a"
"a"
| /
| /
| /
|/______________
Call it the graph of function "a".
Now there exists two new functions call them "d"
and "i"
| "i" "a"
| / /
| / /
| / / ______ "d"
| / /
|__________________
Now "a" is the original function and every point on "a" has a angle
associated with that point so that the angle is a slope at that point,
a rate of change of that point. And this angle for that point and all
the other points of "a" constitute a second new function which we call
the derivative of "a" and I graphed it as "d".
Now with "a" every point on "a" has another angle associated with it
such that this angle causes the picket fences around all the points of
"a" have no excess or deficiency in area. And every point of "a"
has a unique angle to make sure the picket fences under the curve of
"a" are all exact picket fences with no excess or deficiency in area
and the collection of those angles forms another new function called
"i".
So in summary, Calculus is the handing up of a curve on a graph and
then the Calculus seeks a angle curve that is the derivative and
another angle curve that is the integral.
And here is a number example of what is probably the easiest function
for "a" to learn Calculus. It is the function F(x) = x and is a
45degree line that bisects the first quadrant. It has a name-- the
identity function.
And it creates two new functions of "d" and "i", the derivative
function of "d" is 1 of F(x) = 1, and the integral function "i" is
1/2x^2 of F(x) = 1/2 x^2.
Here we quickly learn the rule of taking the exponent of identity
function as 1 and so the derivative of x is 1
and then asking what function can I play that trick on to yield the x
as derivative? The answer is 1/2 x^2 because when you do 2* (1/2) you
have 1 and when you do x^(2-1) you have x. So in this one hour lecture
we teach what Calculus basically is--- angle hunting
And we teach how to find a derivative and integral of the identity
function which applies to many other functions. And we teach that the
derivative is inverse to integral because they both are using the same
rule.
In New Math we recognize that the concept of Limit has no place in
Calculus and about the only place it does have use is in series. To
use Limit concept in Calculus would be as ridiculous as the upcoming
London Olympics where the judges are mathematicians who go out and
measure a running race not with a timer but with a limit concept. As
ridiculous as measuring a speed swim not by a clock timer but with a
limit calculations.
Ascii art maybe painful to draw, but is nowhere as painful as to see
millions of students heading off to school and having to be
brainwashed with the worthless Limit concept in Calculus.
In New Math, Calculus is all about angles formed because numbers when
plotted as graphs produce angles naturally. Of course, when we see the
trig functions of sine or cosine or tangent, we often see only those
numbers on the graph paper and ignore the fact that every number on
the graph paper also represents angles in trigonometry.
In New Math, we can indulge with limits but their use is very
restricted, and if we did want to use them, we can more easily just go
to the zones of algebraic completeness of the Infinity number 10^603.
End of one hour lecture.
Now admittedly that lecture would be for first year college, but if I
deleted much of the talk about limits, it would do nicely in a High
School class.
The main idea is that Calculus is a offshoot of a trigonometry
classroom. Trig is about angles and circles. Calculus is about angles
and functions. Both trig and calculus are plotted on graphs, which
means, both are basically angle hunting.
What this textbook is wanting to do is to expose the limit as a
concept that was a fake concept applied to a subject that never needed
it. We do not need to carry around and use coats in the summertime.
Calculus never needed the limit. And the only reason the limit was
"thought to be important in Calculus" was because mathematicians never
defined infinity precisely, so they threw into Calculus the limit,
thinking it would cover up any talk about infinity.
Now when I went to school, the limit was taught in first year college,
not high-school, and I hope that practice remains true, because I hate
to see young pre-college students brainwashed before they even reach
college. To step foot on college campus and already brainwashed with
limit.
Archimedes Plutonium
http://www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
HardySpicer
<plutonium.archime...@gmail.com> wrote:
> Now, something that New Math can do so much easier than Old Math is
ITS NOT MATH it's MATHS!!! Do you study home economic?
David R Tribble
>> Now, something that New Math can do so much easier than Old Math is
>
HardySpicer wrote:
> ITS NOT MATH it's MATHS!!!
Only in the UK. In the US, it's abbreviated to "math".
Of course, what AP is doing is neither.
> Do you study home economic?
That would be abbreviated to "home ec" (not "ecs") in the US.
Sam Wormley
You must life in the old British Empire to call mathematics Maths.
Androcles
"Sam Wormley" <swor...@gmail.com> wrote in message
news:G7OdnUurWP8H_t7T...@mchsi.com...
hanson
"Androcles" <Headm...@Hogwarts.physics.August.10th.2011> wrote:
-- "Sam Wormley" <swor...@gmail.com> wrote in message
>
Sam wrote:
You must life in the old British Empire
to call mathematics Maths.
>
Sam, You must life in the USA to call 'live' life.
>
hanson wrote:
So, how is life going in the once Great Britain
with it's now live Math- &/or Mass riots?
Thanks for the laughs, guys... ahahahanson.
Androcles
"hanson" <han...@quick.net> wrote in message
news:j1vuqg$3eu$1...@dont-email.me...
|
| "Androcles" <Headm...@Hogwarts.physics.August.10th.2011> wrote:
| -- "Sam Wormley" <swor...@gmail.com> wrote in message
| >
| >
| Sam wrote:
| You must life in the old British Empire
| to call mathematics Maths.
| >
| Androcles wrote:
| Sam, You must life in the USA to call 'live' life.
hanson
>
"Androcles" <Headm...@Hogwarts.physics.August.10th.2011> wrote in message
news:JqL0q.51264$Rw7...@newsfe28.ams2...
... ahahahaha.. fully drunk & hung over Andro,
in his ethanolic fog, cranked himself over this:
>
Sam wrote:
You must life in the old British Empire
to call mathematics Maths.
>
Androcles wrote:
Sam, You must life in the USA to call 'live' life.
>
So, Andro, how is life going in the once Great
Androcles
| ... ahahahahaha... HAHAHAHAHA... AHAHAHA...
| >
| "Androcles" <Headm...@Hogwarts.physics.August.10th.2011> wrote in
message
| news:JqL0q.51264$Rw7...@newsfe28.ams2...
| >
| > "hanson" <han...@quick.net> wrote in message
| > news:j1vuqg$3eu$1...@dont-email.me...
| > |
| > | "Androcles" <Headm...@Hogwarts.physics.August.10th.2011> wrote:
| > | -- "Sam Wormley" <swor...@gmail.com> wrote in message
| > | >
| > | >
| > | Sam wrote:
| > | You must life in the old British Empire
| > | to call mathematics Maths.
| > | >
| > | Androcles wrote:
| > | Sam, You must life in the USA to call 'live' life.
| >
| > No I didn't, you lying bastard. I wrote:
| > You must life in the USA to call 'live' life.
| >
| hanson wrote:
| ... ahahahaha.. fully drunk & hung over Andro,
| in his ethanolic fog, cranked himself over this:
| >
| Sam wrote:
| You must life in the old British Empire
| to call mathematics Maths.
| >
| Androcles wrote:
| Sam, You must life in the USA to call 'live' life.
Lying bastard. Boring lying bastard. <yawn>
hanson
>
"Androcles" <Headm...@Hogwarts.physics.August.10th.2011> wrote:
- "hanson" <han...@quick.net> wrote:
-- "Sam Wormley" <swor...@gmail.com> wrote:
>
Sam wrote:
You must life in the old British Empire
to call mathematics Maths.
> | >
Androcles wrote:
Sam, You must life in the USA to call 'live' life.
>
No I didn't, you lying bastard. I wrote:
You must life in the USA to call 'live' life.
>
hanson wrote:
... ahahahaha.. fully drunk & hung over Andro,
in his ethanolic fog, cranked himself over this:
>
Sam wrote:
You must life in the old British Empire
to call mathematics Maths.
>
Androcles wrote:
Sam, You must life in the USA to call 'live' life.
>
So, Andro, how is life going in the once Great
Britain with it's now live Math- &/or Mass riots?
>
Androcles wrote:
Lying bastard. Boring lying bastard. <yawn>
>
How come you get nasty with me instead of
you looking out of the window of your hovel to
see whether the Brit-riot Juvees come looking
for your walker & your Gin bottle?... ahahahaha..
Thanks for the laughs, Andro... ahahahanson.
>
Androcles
I don't capitalise "You" in mid sentence, it would be either
"you" or "YOU" for emphasis.
If you are going to copy and paste what I write don't add
you own words to it and then say I wrote it, you dishonest
boring bastard.
No thanks for your cackling mantra, cha-cha. Yawn, YAWN, yawn.
hanson
I'm nasty with every lying bastard, you are not special.
I don't capitalise "You" in mid sentence, it would be either
"you" or "YOU" for emphasis.
>
Wow, that is impressive and worthy of your status, you
being again the reborn aboriginal Grand headmaster of
the fabled and fabulous
== **British-Pakistani Falun Gong Aetherists** ==
>
Analdorcles wrote:
If you are going to copy and paste what I write don't add
you own words to it and then say I wrote it, you dishonest
boring bastard.
No thanks for your cackling mantra, cha-cha.
Yawn, YAWN, yawn.
>
I don't own any words and if I add any then it's only
the name of the poster that you have addressed.
But the glory shall be yours, always, mantra or no mantra,
in accord with your grand-standing as being the reborn
aboriginal Grand headmaster of the fabled and fabulous
== **British-Pakistani Falun Gong Aetherists** ==
>
AAHAHAHA... ahahahaha... AHAHAHA... ahahahanson
Androcles
get past the 99% noise and on to the 1% funny.
hanson
"Androcles" <Headm...@Hogwarts.physics.August.10th.2011> was
cackling
Androcles
|
| "Androcles" <Headm...@Hogwarts.physics.August.10th.2011> was
| cackling
|
Got to you, didn't I?
You forgot your mantra, cha-cha. Not too many people are responding
to you, cha-cha. Lonely, are you? Go and crank with pretty lady, I'm
sure she'll be delighted with your tales of altar bonking.
hanson
>
Analdorcles" <Headm...@Hogwarts.physics.August.10th.2011>
aka John Parker of the long gone, once great Britain,
said nothing of consequence nor importance but he
was doing some ethanolic grand-standing because
of the upcoming full moon, & being the self promoted,
reborn aboriginal Grand headmaster of the fabulous
== **British-Pakistani Falun Gong Aetherists** ==
>
>
>
>
>
>
>
1treePetrifiedForestLane
a.k.a. quadrivium;
as opposed to the trivium of a "literate slave,"
as taught in many grade-schools for babysitting.