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 Mathematical Spaces
Posted: November 27, 2008 06:16 amTop
   
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IRC Nickname: Matt|Georgio9
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More of a rant than anything important.

For the most part math is in "time space". Basically any function of time is in this space. Now, somewhere along the process of innovation, mathematicians thought it'd be useful to create other "spaces" and domains. The whole idea of changing from one mathematical space to another is to simplify existing mathematical models. So you'd write a sinusoidal function in linear terms for example.

If any of you guys go on to do electrical engineering in university, you'll learn to deal with "phasor" or "frequency" space. Basically a simplified way to express things like voltages or currents through circuit elements that would other required you to use a differential equation to solve it. Instead, everything is brought into linear terms, which is nice. The only trade-off is everything is a complex number tongue.gif .

Pretty much anyone who takes university differential equations will learn to deal with the LaPlace transform. Kind of a pain but also kind of useful. It simplifies differential equations into I guess more manageable terms and its been around for so long, there's general terms for basically any type of first order linear equation.

Basically, that's a peek into the kind of math I'm dealing with this term. Next term, I have a course devoted entirely to complex analysis. Basically, nothing is real anymore, all imaginary. angryhahs.gif.png
 
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Posted: December 1, 2008 09:55 amTop
   
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thats the reason i gave up maths, have fun with that lol
 
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Posted: December 1, 2008 11:35 amTop
   
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Sounds exactly like what I'm in for in the coming years
Mathematics + Electrical Engineering double degree neko2.gif
 
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Posted: December 1, 2008 12:06 pmTop
   
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i r lyke complex numbers

its easy peesey

but i hasnt learnt how to put into into electricity ohmy.gif
 
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Posted: December 1, 2008 06:26 pmTop
   
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QUOTE (Mathsnerd18 @ December 01, 2008 11:35 am)
Sounds exactly like what I'm in for in the coming years
Mathematics + Electrical Engineering double degree neko2.gif

I'm willing to bet that you'll drop you're dual degree and choose one or the other. Because holy shit it's tough. I know a couple of guys that are taking applied mathematics with a concentration in control and robotics. Basically, I never see them around and one of them is one of my housemates.

Electrical engineering on its own is a ton of math. The big thing is, every course feeds into another. So you'll be learning a method in differential equations and then the next week you'll have to apply it in the circuit theory that you're learning, which you'll then apply in the lab.
 
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Posted: December 1, 2008 10:18 pmTop
   
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mathsnerd, i'd advise doing mathematics major. A mathematician can be an engineer any day of the week. But the reverse is not true for an engineer.
 
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Posted: December 3, 2008 07:28 amTop
   
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QUOTE (Pyro Blade26 @ December 01, 2008 10:18 pm)
mathsnerd, i'd advise doing mathematics major. A mathematician can be an engineer any day of the week. But the reverse is not true for an engineer.

Pyro what's your background? What makes you say something like that?

If you're in pure math, you learn pure math.

What you take is a whole bunch of theoretical courses, courses devoted entirely to proofs, and numerical techniques.

I'm not saying that none of that stuff is unimportant because it's all fine and dandy if you like that stuff. Personally, theoretical math scares the shit out of me.

Now, engineering is called normally in universities as an applied science. That's not saying it's a watered down version of science, but that you learn all these mathematical techniques, most of which are beyond the pure math students because they spend so much time messing around with redundant things like proving a proof. Why prove something that's already proven? Anyways, so in engineering you learn all these techniques and whatnot but then here's the important part.

YOU LEARN HOW TO APPLY THEM TO REAL LIFE SITUATIONS.

They don't teach you that in pure math. Sure, they might teach you to write a fancy one way encryption algorithm. BUT, how will you implement in today's technological market? You still depend on the engineer to implement your sequence, be it a software or hardware type encryption. And who knows? You're algorithm may not even be practical or feasible in the current tech market.

So don't tell me that a mathematician can do an engineer's job any day.

As for an engineer not being able to do a mathematician's job. There have been and still are MANY engineers who go on to do the job of a mathematician. If you have any clue as to how strong of a mathematical background an engineer (except for mining and geological engineers, even then...) has, you would retract that statement. For instance, my differentials professor is a mechanical engineering graduate. He is now a Ph. D. candidate for mathematics involving his research in control systems. So basically, he is doing crazy theoretical research as well as teaching my class at the moment.

A engineering graduate can do anything they want to do. How's that for flexibility.

- Matt
Electrical Engineering, Queen's University, Sci '11.
 
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Posted: December 3, 2008 09:58 amTop
   
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QUOTE (Georgio9 @ December 03, 2008 07:28 am)
QUOTE (Pyro Blade26 @ December 01, 2008 10:18 pm)
mathsnerd, i'd advise doing mathematics major. A mathematician can be an engineer any day of the week. But the reverse is not true for an engineer.

Pyro what's your background? What makes you say something like that?

If you're in pure math, you learn pure math.

What you take is a whole bunch of theoretical courses, courses devoted entirely to proofs, and numerical techniques.

I'm not saying that none of that stuff is unimportant because it's all fine and dandy if you like that stuff. Personally, theoretical math scares the shit out of me.

Now, engineering is called normally in universities as an applied science. That's not saying it's a watered down version of science, but that you learn all these mathematical techniques, most of which are beyond the pure math students because they spend so much time messing around with redundant things like proving a proof. Why prove something that's already proven? Anyways, so in engineering you learn all these techniques and whatnot but then here's the important part.

YOU LEARN HOW TO APPLY THEM TO REAL LIFE SITUATIONS.

They don't teach you that in pure math. Sure, they might teach you to write a fancy one way encryption algorithm. BUT, how will you implement in today's technological market? You still depend on the engineer to implement your sequence, be it a software or hardware type encryption. And who knows? You're algorithm may not even be practical or feasible in the current tech market.

So don't tell me that a mathematician can do an engineer's job any day.

As for an engineer not being able to do a mathematician's job. There have been and still are MANY engineers who go on to do the job of a mathematician. If you have any clue as to how strong of a mathematical background an engineer (except for mining and geological engineers, even then...) has, you would retract that statement. For instance, my differentials professor is a mechanical engineering graduate. He is now a Ph. D. candidate for mathematics involving his research in control systems. So basically, he is doing crazy theoretical research as well as teaching my class at the moment.

A engineering graduate can do anything they want to do. How's that for flexibility.

- Matt
Electrical Engineering, Queen's University, Sci '11.

Same holds true for me Matt, i'm a Meteorology major.

We learn a bit of theoretical math, but then spend the rest of our time applying it to various models and sets of data to determine what the hell the weather is going to do today.

We let the math kiddies figure out the theories, we just impliment them.

As an interesting side note, my coursework requires so much math, that Meteorology students who take one extra math course outside the curriculum get a minor in Mathematics. hash.png

To further back up Matt's statement, i'm going to quote the course descriptions from 2 graduate level classes, one engineering and one mathematics.

Mathematics:
QUOTE
G6383 Algebraic Geometry. Prerequisite: 6373. Hilbert’s Nullstellensatz, the correspondence between ideals and algebraic sets, Zariski topology, irreducible algebraic sets, ringed spaces, morphisms, affine varieties, algebraic varieties, regular maps, sub-varieties and products, bi-rational equivalence, local rings and tangent spaces, differentials, non-singular points. (Irreg.)


Engineering:
QUOTE
G4223 Fundamentals of Engineering Economy. Prerequisite: permission. Introduction to concepts of economic analysis to optimize benefits utilizing multivariant, multistaged mathematical models. Topics include cost and worth comparison, capital costs and sources, time value of money, replacement economics, taxes, economic efficiency of alternate designs, minimum costs and maximum benefits, risk and uncertainty, and economics of work schedules. (Sp, Su)


~ Matt
Meteorology and Atmospheric Sciences, University of Oklahoma, '12
 
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Posted: December 25, 2008 01:54 pmTop
   


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im doing electrical engineering too lol

didnt know it was that popular of a subject

grats on 99 smithing too btw (Y) who got there first? you or ere?
 
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Posted: December 25, 2008 08:44 pmTop
   
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QUOTE (Loppls @ December 25, 2008 08:54 am)
im doing electrical engineering too lol

didnt know it was that popular of a subject

grats on 99 smithing too btw (Y) who got there first? you or ere?

Ereg.

Which is sad cuz georgio has been smithing for over 9000 years.
 
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Posted: January 10, 2009 08:52 pmTop
   
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This sounds fun :|

i dipshit.
 
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