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xoxoxoBruce 11-02-2010 02:12 AM

Math Help
 
Did you even run into a math problem and rack your brain how to solve it because you haven't done anything like that since you graduated mumble years ago? Or draw a complete blank because you didn't go that far?

Well Bunkie, cheer up because the professors at MIT are here to help. :)

http://ocw.mit.edu/courses/mathemati...ideo-lectures/

gvidas 11-02-2010 02:38 AM

Holy shit. This is so exciting.

xoxoxoBruce 11-02-2010 02:46 AM

Ingrate. :p:

DanaC 11-02-2010 05:30 AM

....s!

glatt 11-02-2010 07:21 AM

crazy furriner

HungLikeJesus 11-02-2010 08:10 AM

Now how am I going to concentrate on my work today, Bruce?

Maybe I'll just watch the first one.

Lamplighter 11-02-2010 09:48 AM

Professor Strang's best of the day:
Quote:

Can you sort of think about 9 vectors in 9 dimensional space and take their combinations ?
That's really the central thought that you get kind of used to in linear algebra.
Even though you can't really visualize it, you sort of think you can after a while.

Where was he last month when I had 8 dimensional planes in a 9 dimensional space, and
didn't realize the 9th column was the same as the 8th column and so it didn't add anything new ?

wolf 11-02-2010 12:57 PM

Quote:

Originally Posted by Lamplighter (Post 692127)
Professor Strang's best of the day:

Where was he last month when I had 8 dimensional planes in a 9 dimensional space, and
didn't realize the 9th column was the same as the 8th column and so it didn't add anything new ?

More importantly, where the heck were you when you had to struggle with something like that? Was it time for the extra-dimensional oil change on the DeLorean or something?

Lamplighter 11-02-2010 01:16 PM

:D

Clodfobble 11-02-2010 04:49 PM

Heh. I dated a math major for awhile in college (who is now a grad-level math professor at a major university known for its math & sciences programs.) He was definitely not a nerd, as one might expect--the nerds all go into tangible sciences like engineering and computers. Math majors are more like hyper-brilliant philosophy majors, with proportionally larger egos.

footfootfoot 11-02-2010 07:20 PM

Did you notice the date on the video was 1999? That math is going to be all stale and what not. Numbers must have some sort of shelf life.

I'm sure that shit's all out of date and that's why they're giving it away now.
(I can't tell if I'm a kingpin or a kaiser)

HungLikeJesus 11-02-2010 07:26 PM

They are not using New Decimal (with the 10th digit), because that wasn't invented until 2008.

Lamplighter 11-02-2010 07:35 PM

Not to worry, Prof Strang will just add one more dimension to his matricies,
and go back in time to pick up whatever he needs for now and for the future.

spudcon 11-02-2010 07:41 PM

Quote:

Originally Posted by gvidas (Post 692070)
Holy shit. This is so exciting.

IT IS! I used those videos to balance my check book, and it suddenly transformed into a 26 dimension checkbook.

HungLikeJesus 11-02-2010 07:49 PM

That should be a boost to your retirement account.

gvidas 11-03-2010 03:54 AM

Well, what excites me is that elsewhere on that site they have coursework for all kinds of things. But there's also video lectures and notes and etc for calculus, which for a while now I've had the nagging realization I should try to learn. Linear algebra, yeah, whatever; but the rest is gold. And the premise of the entire project is beautiful.

xoxoxoBruce 11-03-2010 05:06 AM

MIT decided to put this stuff online as a community resource a year or two ago. Learn all you want for free, it doesn't cost them much. They don't have any trouble filling all the slots they have, with students paying big bucks to get the sheepskin to go with the knowledge.

Pete Zicato 11-03-2010 09:21 AM

Will: ... And Two, you dropped a hundred and fifty grand on a fuckin education you coulda got for a dollah fifty in late chahges at the public library

Char*Pntr 11-07-2010 05:27 AM

Expensive College == Better Education?
 
Bookmarked. One thing I love about this board, is I never know what to expect when I get here - it seems to cover a little bit of everything! (I just spent some time relaxing reading the "Nut House" thread for some needed comic relief. :rolleyes:

It's been a while since I've been in college (back then books were only $15 - 20 (used but in good shape).

One comment on linear algebra - In my EE program, of course we have to take a lot of math classes - 3 semesters of Calculus, Applied differential equations, etc. So one summer I thought I'd take the Linear Algebra class, because with all the other math classes, I could then get a minor in mathematics as well. It sounded like an easy class- but it was pure hell.

All of the math classes I took up to that point, I could characterize as "shake 'n bake" that is, you learn a math definition, you get a problem, stick it in, and out pops the answer... pick 'n shovel work.

Linear Algebra, on the other hand, you actually have to think - learn about vector spaces, what a "basis" is, proofs, eigenvalues, and so on. It took a lot of thinking on my part. Sadly, I have never had to use any of this at work or anywhere else.

I'll be watching the rest of the videos, mainly out of curiosity, why some students pay big big bucks to attend MIT, as opposed to a smaller and less expensive college (as I did) to learn the same thing.


Quote:

Originally Posted by xoxoxoBruce (Post 692069)
Did you even run into a math problem and rack your brain how to solve it because you haven't done anything like that since you graduated mumble years ago? Or draw a complete blank because you didn't go that far?

Well Bunkie, cheer up because the professors at MIT are here to help. :)

http://ocw.mit.edu/courses/mathemati...ideo-lectures/


glatt 11-07-2010 06:21 AM

Quote:

Originally Posted by Char*Pntr (Post 693130)
I'll be watching the rest of the videos, mainly out of curiosity, why some students pay big big bucks to attend MIT, as opposed to a smaller and less expensive college (as I did) to learn the same thing.

You don't go to a place like MIT just to take the courses. You go there to make friends with the other people who are also going there. It makes the environment more enriching, and as a bonus, you have connections all over the world for the rest of your life in your chosen field.

Adak 11-07-2010 07:40 AM

Right on, Glatt. ^^^^^^^

Char*Pntr 11-07-2010 07:58 AM

Duly noted. There is an intangible value to attending a high profile university, such as MIT. BTW, when I was leaving the service, I traveled to MIT to check it out as I was selecting a university to attend. Back in '81 they told me the tuition was around $13K per year. I thought at that time I could never afford that of my GI education grant.

Spent the weekend there tho, talking to the students. I remember this one corridor, the students called it the "infinite" corridor, as it was so long. Probably long gone by now.


Quote:

Originally Posted by glatt (Post 693132)
You don't go to a place like MIT just to take the courses. You go there to make friends with the other people who are also going there. It makes the environment more enriching, and as a bonus, you have connections all over the world for the rest of your life in your chosen field.


xoxoxoBruce 11-07-2010 08:10 AM

And the classrooms are just giving them tools, the real action is going on in the labs. Both required work, and trying to work out hare brained schemes the students dream up.

Quite often they're working on ideas a collaboration of 2, 3 or 4 students hashed out over pizza & beer, then brought the table cloth/place mats to the lab. MIT owns thousands of patents, and spins off dozens of companies, so many the labs are self supporting.

piercehawkeye45 11-07-2010 03:40 PM

Quote:

Originally Posted by Char*Pntr (Post 693130)
One comment on linear algebra - In my EE program, of course we have to take a lot of math classes - 3 semesters of Calculus, Applied differential equations, etc. So one summer I thought I'd take the Linear Algebra class, because with all the other math classes, I could then get a minor in mathematics as well. It sounded like an easy class- but it was pure hell.

All of the math classes I took up to that point, I could characterize as "shake 'n bake" that is, you learn a math definition, you get a problem, stick it in, and out pops the answer... pick 'n shovel work.

Linear Algebra, on the other hand, you actually have to think - learn about vector spaces, what a "basis" is, proofs, eigenvalues, and so on. It took a lot of thinking on my part. Sadly, I have never had to use any of this at work or anywhere else.

Same experience for me. The average for our tests were around 30%. I never felt so dumb in my life when it came to math.

Right now I'm taking continuum mechanics, which is basically just applied linear algebra. :greenface

Lamplighter 11-09-2010 10:08 AM

OK, here's another field that defies understanding by this common man...

NY Times
Quantum Computing Reaches for True Power

Quote:

In 1981 the physicist Richard Feynman speculated about the possibility
of “tiny computers obeying quantum mechanical laws.”<snip>
Since then there has been sporadic progress in building this kind of computer.

Classic computers are built with transistors that can be in either an “on” or an “off” state, representing either a 1 or a 0.
A qubit, which can be constructed in different ways, can represent 1 and 0 states simultaneously.
This quality is called superposition.<snip>
There is, of course, a catch.
The mere act of measuring or observing a qubit can strip it of its computing potential.

So researchers have used quantum entanglement —
in which particles are linked so that measuring a property of one instantly reveals
information about the other, no matter how far apart the two particles are — to extract information.
But creating and maintaining qubits in entangled states has been tremendously challenging.
My first reaction when I read this article was "What the ... ???"
For me, I need "real world" images to make any sense at all
out of anything beyond Algebra 101, but Wikipedia comes pretty close.

Quote:

Sometimes, two particles will act together and become a system.
They behave like one object, but remain two separate objects.
It is as if they now sit on the same teeter-totter seesaw.
No matter how long the seesaw is, even if it is one million miles long,
if one end is down the other end must be up, and this happens instantly.
I'm just glad I'm not a young sprout planning to get my education in Computer Sciences.

xoxoxoBruce 11-09-2010 04:05 PM

That sounds like every byte would need two locations, one to hold the information, and a second sacrificial location to read the first location.
But if the sacrificial location is destroyed by reading it, then it could only be read once. If it can only be read once, how does the computer search for shit in memory, without destroying everything it's not looking for?

curiouser and curiouser.

Happy Monkey 11-09-2010 04:11 PM

Quote:

Originally Posted by Char*Pntr (Post 693143)
Spent the weekend there tho, talking to the students. I remember this one corridor, the students called it the "infinite" corridor, as it was so long. Probably long gone by now.

Nope, still there. My sister's a grad student there.

Lamplighter 11-11-2010 08:22 PM

Quote:

Originally Posted by glatt (Post 693132)
You don't go to a place like MIT just to take the courses. You go there to make friends with the other people who are also going there. It makes the environment more enriching, and as a bonus, you have connections all over the world for the rest of your life in your chosen field.

Also, you get to do research on really important issues of our times...

Scientists learn physics behind how cats drink water without getting wet

Something as complex as a cat drinking water doesn't get unraveled and turned into a paper at the nation's top science journal overnight.
It was almost four years ago that Roman Stocker, an associate professor at MIT's Department of Civil and Environmental Engineering,
became interested in how his cat, Cutta Cutta (or "Stars Stars" in the Australian aboriginal language), drank.
His enthusiasm spread to Aristoff, Sunghwan Jung, now an engineer at Virginia Tech, and Pedro Reis,
a physicist who works on the mechanism of soft solids at MIT.

ZenGum 11-11-2010 09:03 PM

Lamplighter:
Quote:

For me, I need "real world" images to make any sense at all
Then, sir, stay the heck out of quantum physics. At the very small scale, matter behaves in very strange ways, and there is nothing at all at the human scale that behaves the same way, so you will never get that "real world" image that will give you a feeling of understanding.

For example:
Quote:

if one end is down the other end must be up, and this happens instantly.
... not just that, but until you measure it both ends are (in a super-position of) both up and down at the same time. Measuring and finding one to be up means that the other is instantly down. And yes, god-damn instantly, with no speed of light delay, which is a direct contradiction of relativity which says nothing can travel faster than the speed of light. We (well, not me, boffins) can produce this effect on demand with less that $10,000 worth of equipment, which is both intriguing and annoying.

ETA - the cats drinking is worth studying. 30 years ago someone spent years figuring out how lobster eye-stalks work. 10 years later the discovery was used to create a new way of etching electronic circuit boards, or something like that, and is earning millions. Never know where these things might lead.

xoxoxoBruce 11-12-2010 02:32 AM

Quote:

Originally Posted by ZenGum (Post 693917)
Lamplighter:

Then, sir, stay the heck out of quantum physics. At the very small scale, matter behaves in very strange ways, and there is nothing at all at the human scale that behaves the same way, so you will never get that "real world" image that will give you a feeling of understanding.

Prove it. :p:

ZenGum 11-12-2010 04:21 PM

:p

Well, I admit that if we fired Bruce through a double slit interferometer, he'd probably interfere with himself, but he'd do that anyway. :D


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