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Burden of Proof [Math 55 at Harvard]
The Harvard Crimson ^ | 6 Dec 2006 | Logan R. Ury

Posted on 11/27/2007 7:00:02 PM PST by snarks_when_bored

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To: IronJack

I memorized it about 55 years ago, I think. Funny how those things stick with you, because I certainly haven’t thought about it much since.


21 posted on 11/27/2007 7:32:37 PM PST by Cicero (Marcus Tullius)
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To: snarks_when_bored
Brett A. Harrison ’10

I got almost all the way through the article before I realized the number after the name was the year of graduation, not the person's age. Guess I would've flunked Math 55.

22 posted on 11/27/2007 7:34:59 PM PST by LibWhacker (Democrats are phony Americans)
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To: All
Speaking of the caliber of student who takes Math 55...
16-Year-Old Wiz Kid Solves Dirichlet Problem

Michael Viscardi, of the Josan Academy for the Gifted in San Diego, won the Siemens Westinghouse Competition for his solution to the Dirichlet Problem. The problem involves solving a partial differential equation within a region, given boundary conditions. Viscardi said his work can be used for engineering applications, such as heat flow.

"This solution was not known before," said Peter Ebenfelt, Viscardi's adviser and a math professor at the University of California San Diego. "The Dirichlet problem is a very old problem; it's been around since it was formulated by Dirichlet in the 19th century." Advertisement

"Michael Viscardi is only 16 years old, yet he has produced work that is at or near the Ph.D. level," said Siemens Westinghouse judge Steven Krantz via e-mail. "[His results] are in a subject area that I have been studying for more than 30 years, and yet he saw further than I have seen."

Viscardi says he hopes to continue studying mathematics in college.

"I want to study math; I want to be a pure mathematician," he said. "Also, I want to be as much of a musician as I can."

Viscardi has applied to Harvard, hoping to take Math 55, the notoriously difficult introductory course, and to enter a joint program with the New England Conservatory where he will study either piano or violin. He will find out whether he has been accepted next week.


23 posted on 11/27/2007 7:37:49 PM PST by snarks_when_bored
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To: snarks_when_bored

great post. Thanks.


24 posted on 11/27/2007 7:42:16 PM PST by cowtowney
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To: LibWhacker

(laugh)


25 posted on 11/27/2007 7:53:39 PM PST by snarks_when_bored
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To: snarks_when_bored
LOL...Reminds me when I was taking my preliminary exams. I got "hit" with following:

Prove the following:

Sum[Cos[x*n]/n] converges uniformly, where n=1,...,Infinity.

Gosh, I was ticked, because there's conventional test e.g., "p-series", integral test, that will allow you to to get at the answer.

Any clever one know what this series converges to? You have two hours...tick,tick,tick, time is running. :-)

26 posted on 11/27/2007 7:57:49 PM PST by LjubivojeRadosavljevic
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To: snarks_when_bored
OK, all you Math 55 student wannabes, if you can correctly complete all these tests(Rice University Math Tournament) in less than an hour each, I'll believe it.

As class attendance steadily thins, the workload does not. The first few problem sets each take about 40 hours to complete. The work burden is reason enough for many extraordinarily gifted students to drop.

Case in point: Ameya A. Velingker ’10 took Advanced Placement calculus his freshman year and ranked in the top 12 for the USA Math Olympiad the year after that. “It was a tough decision to drop,” Velingker says. “You’re around all these people who are beasts at math. But I realized it was not going to work out.”

You have to love this stuff and have no life outside of it. These folks are out of my league.

27 posted on 11/27/2007 7:59:05 PM PST by DrewsDad (PIERCE the EARMARKS)
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To: snarks_when_bored

Gee, can Viscardi’s parents please share with us exactly how they brought him up so he would be a math genius? It’s all environment, right? /sar


28 posted on 11/27/2007 8:03:30 PM PST by Pharmboy (Democrats lie because they have to)
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To: snarks_when_bored
16-Year-Old Wiz Kid Solves Dirichlet Problem

Pardon my French, but...
Merde sacré!

29 posted on 11/27/2007 8:08:54 PM PST by grey_whiskers (The opinions are solely those of the author and are subject to change without notice.)
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To: snarks_when_bored
My undergraduate Finite-Dimensional Vector Spaces.....

Halmos?

30 posted on 11/27/2007 8:11:13 PM PST by longshadow (FReeper #405, entering his tenth year of ignoring nitwits, nutcases, and recycled newbies)
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To: snarks_when_bored
From further down the page on your link:

"Brains Make Gains, But Testes Are Bestes"

Big-balled bats have higher reproductive success than their big-brained counterparts. A study published in UK biology journal Proceedings B showed that bat species with promiscuous females have smaller brains than species with females who are faithful to their mates.

Two comments:

Of course bats with big balls do better.

Haven't these folks heard of "I'd hit it?"

And as for promiscuous females and smaller brains, just look at Paris Hilton.

Ba-dum bum!

Thread Hijack completed.

Your move.

31 posted on 11/27/2007 8:13:44 PM PST by grey_whiskers (The opinions are solely those of the author and are subject to change without notice.)
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To: snarks_when_bored


Mama Tried
32 posted on 11/27/2007 8:17:58 PM PST by Liberty Valance (Keep a simple manner for a happy life :o)
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To: Liberty Valance

http://youtube.com/watch?v=SGKvobvlnMU

Stay all night ~ Bob Wills & the Texas Playboys


33 posted on 11/27/2007 8:20:40 PM PST by Liberty Valance (Keep a simple manner for a happy life :o)
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To: DrewsDad
You have to love this stuff and have no life outside of it.

That's more often true than not. But then there's Euler:

Euler was the most prolific mathematical writer of all times finding time (even with his 13 children) to publish over 800 papers in his lifetime.

Euler was able to do original mathematics while bouncing a baby on his knee...

34 posted on 11/27/2007 8:25:58 PM PST by snarks_when_bored
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To: LjubivojeRadosavljevic; DrewsDad; snarks_when_bored
Math 55 from 1999

I can do this stuff, but only at a snail's pace.

Hope I'll have time in heaven, unless there is aught even more compelling up there; in which case I respectfully yield the balance of my time.

Cheers!

35 posted on 11/27/2007 8:28:43 PM PST by grey_whiskers (The opinions are solely those of the author and are subject to change without notice.)
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To: longshadow
Halmos was on the reading list, but the guy who taught the course used his own notes...

(How have you been, man? Haven't seen you around for quite a while...)

36 posted on 11/27/2007 8:28:46 PM PST by snarks_when_bored
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To: All

The closest thing that we had like this at West Point was the math program that I was in— MA153-154. We did the core 4 semester math requirement in 2 semesterws.


37 posted on 11/27/2007 8:30:33 PM PST by Lysandru
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To: grey_whiskers

(”Laughing here, boss.”)


38 posted on 11/27/2007 8:31:10 PM PST by snarks_when_bored
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To: grey_whiskers

I wonder if Blue Rudin is still being used...


39 posted on 11/27/2007 8:35:42 PM PST by snarks_when_bored
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To: snarks_when_bored
Euler was able to do original mathematics while bouncing a baby on his knee...

As Gauss also demonstrated.;-)

40 posted on 11/27/2007 8:37:59 PM PST by LjubivojeRadosavljevic
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