Introduction to Calculus Tutorial - Page 3

qbkr21 · #21 $Old$ 03-18-2007, 08:16 PM

ThePerfectHacker how long did it take you to right this. A Year?

ThePerfectHacker · #22 $Old$ 03-18-2007, 08:53 PM

Quote:

Originally Posted by qbkr21 $View Post$

ThePerfectHacker how long did it take you to right this. A Year?

1 Month.

I am hoping to right another one during my summer vacation (which at CCNY is longgggggg).

AfterShock · #23 $Old$ 03-19-2007, 01:31 AM

You should write one in Number Theory. So many cool applications. And after all, number theory in my opinion is the heart of mathematics.

ThePerfectHacker · #24 $Old$ 03-19-2007, 08:45 AM

Quote:

Originally Posted by AfterShock $View Post$

You should write one in Number Theory. So many cool applications. And after all, number theory in my opinion is the heart of mathematics.

No. Set theory and Logic are the foundations of math.

But if you are saying number theory is the most interesting, let me add to that. Thus far, out of all the things I have learned in math there is not a single thing that I disliked (except probably statistics, but that is not usually considered even math). Thus, it should not matter what you chose to learn.

AfterShock · #25 $Old$ 03-19-2007, 03:19 PM

Quote:

Originally Posted by ThePerfectHacker $View Post$

No. Set theory and Logic are the foundations of math.

But if you are saying number theory is the most interesting, let me add to that. Thus far, out of all the things I have learned in math there is not a single thing that I disliked (except probably statistics, but that is not usually considered even math). Thus, it should not matter what you chose to learn.

Perhaps at your institution it's different, but set theory and logic are part of discrete math, which is incorporated into number theory.

ThePerfectHacker · #26 $Old$ 03-19-2007, 07:48 PM

Quote:

Originally Posted by AfterShock $View Post$

which is incorporated into number theory.

I like to divide math into 3 parts:
Algebra, Analysis, Geometry.

Stuff such as: number theory, set theory, field theory, ... is algebra.

Stuff such as: PDE's, Harmonic Analysis, Functional Analysis,... is analysis.

Stuff such as: Topology*, Projective Geometry, Differenciable Geometry, ... is geometry.

Thus, I think of myself as an algebraist.

qbkr21 · #27 $Old$ 05-03-2007, 10:30 AM

Quote:

Originally Posted by ThePerfectHacker $View Post$

Example 12: An angry husband throws up his wife with the initial velocity at 96 feet per second. They live on a cliff with the altitude of 960 feet. Find how much time will pass until his wife reach maximum hieght. And find the amount of time until he hits the ground and dies.
The function is,
$s(t)=-16t^2+96t+960$ .
Maximum height is when velocity is zero.
Thus,
$s'(t)=v(t)=-32t+96=0$
The amount of time that passes is when the height is zero when she comes crashing down.
$s(t)=-16t^2+96t+960=0$ .

PerfectHacker this problem doesn't make any since. You stated she was thrown off of the cliff with an initial velocity of 96 feet per second? No Way!! That means that he threw her off at nearly 65.5 miles per hour...

ecMathGeek · #28 $Old$ 05-03-2007, 11:40 AM

Quote:

Originally Posted by ThePerfectHacker $View Post$

No. Set theory and Logic are the foundations of math.

But if you are saying number theory is the most interesting, let me add to that. Thus far, out of all the things I have learned in math there is not a single thing that I disliked (except probably statistics, but that is not usually considered even math). Thus, it should not matter what you chose to learn.

I'd like instruction on logic and proofs.

turillian@gmail.com · #29 $Old$ 05-14-2007, 11:03 AM

I would like to add my thanks for this thread, it's everything that my textbook is, and then some. I very much like the presentation, it's really easy to read. I have one question though.

Throughout, I see [math ] [/math ] tags, are they supposed to be interpreted by some software I don't have, or do they serve as a warning to the reader of where text ends and math begins?

ThePerfectHacker · #30 $Old$ 05-14-2007, 11:54 AM

Quote:

Originally Posted by turillian@gmail.com $View Post$

I would like to add my thanks for this thread, it's everything that my textbook is, and then some. I very much like the presentation, it's really easy to read. I have one question though.

Throughout, I see [math ] [/math ] tags, are they supposed to be interpreted by some software I don't have, or do they serve as a warning to the reader of where text ends and math begins?

The math software on this site is disabled. Once it is fixed you will see all the equations.