28-06-2002 01:53									#61
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I'm going to change my votes in Dissident's thread now

	28-06-2002 01:54									#62
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quote: Originally posted by GP What book did you use for Mathematical physics after diff Eq's?

We didn't have a course called "mathematical physics". We took math courses and physics courses separately...

Did a lot of stupid polynomial expansions during EM class. Useful for solving different PDEs you get...

	28-06-2002 02:00									#63
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For EM we were supposed to use Griffens (very easily written), but it was often more useful to go to Jackson (gold standard for EM fundamentals, and apparently the basis for every grad school's primary EM course).

	28-06-2002 02:02									#64
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Tell me more about the math progression.

We had a semester each of
diff calc
integ calc
multivariable calc
diff e qs (called "screws"


That's what everybody took (even the English majors). If you were in Physics, Oceonagrophy or any engineering, you took another semester of "Engine Math" (Bessel functionas and other junk). I still have my book (was a geek and took it as an elective). But I know physicists (from other schools) had a different book which went into even mroe esoteric diff eqs and other stuff.)

Oh...and ever heard of the necktie function?

	28-06-2002 02:04									#65
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Yes, I've heard that about Jackson. I bought (and still have) a copy of Wangsness, from when I was going to audit E/M. Didn't follow through...

	28-06-2002 02:05									#66
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err...maybe its the bowtie function.

	28-06-2002 02:07									#67
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Bessel is useful for certain types of problems: time-dependant heat transfer in nuclear cores (only needed for accidents). the time independant ones serve otherwise. Also vibrating drum membranes.

	28-06-2002 02:14									#68
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"Engine math"? Odd name for a (PDE?) course.

	28-06-2002 02:15									#69
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Maybe it was a private school.

	28-06-2002 02:16									#70
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I've heard of it. Don't know what it is (heard it in passing).

Here in Quebec we have a screwed-up education system. We go to Grade 11, then go through 2 years CEGYP (like junior college) then through 3 years undergrad. Then they give you a gold star.

In high schoold we didn't touch calc. CEGYP I took: 1 sem. diff. calc., 1 sem. integr. calc, 1 sem. linear alg (for dodos; matrix math, basically), 1 sem. multivariable calc (sort of silly; can be understood as simple extension of single-variable). Plus all physics courses (only interesting one was EM, where we got a bunch of divs and grads and curls pounded into us because it was honours course, plus we got taugh some PDEs without being told they were PDEs).

Uni we took ODEs, vector calc (more divs and curls, really stupid course, but immense workload), alg. 1, anal.1 (hah. anal 101). Then it was alg.2 (linear alg. for non-dummies), complex anal., anal. 2, then PDEs, alg.3, anal.3, Diff. Geo, then alg. 4, Geo/Top1&2. Along the way we learnt basic stats in our lab courses (error analysis, etc.), adv. stats in our stat mech courses, etc. Sometimes math came in physics class (if we hadn't learnt it yet) like some complex anal. we did in a "Relativity and Modern Physics" class in first semester (sounds dodo, but wasn't).

	28-06-2002 02:17									#71
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quote: Originally posted by Ramo "Engine math"? Odd name for a (PDE?) course.

He went to a trade school.

	28-06-2002 02:18									#72
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quote: Originally posted by GP Bessel is useful for certain types of problems: time-dependant heat transfer in nuclear cores (only needed for accidents). the time independant ones serve otherwise. Also vibrating drum membranes.

Yeah. I know. PDE teacher was a physicist by training (and an ******* by choice, but that's a different story)

	28-06-2002 02:19									#73
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Bessel functions are also solutions to angular dependence of solutions to Hamiltonian for electrons in orbit

Or are those the spherical harmonics? Getting confused...

	28-06-2002 02:19									#74
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A confession....

	28-06-2002 02:23									#75
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*ahem*

An average of 18 attacks on Jews in Europe since September 11

	28-06-2002 02:24									#76
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It was an odd school.

FYI: it was sort of a grab-bag of more advanced topics after diffeq's (screws contained some PDE stuff). As I recall it included PDE's, bessel functions, little bit of matrices, some other junk. Don't really remember it all. The book was huge but we didn't do most of it. Engine Math name comes becuase it is (mostly) engineers who have to take it.

	28-06-2002 02:25									#77
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That has been made clear on the first page, Eli.

Read the thread. it's average of 18 per day. I make it 19 for today if you don't shut up

	28-06-2002 02:26									#78
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Increasing or decreasing? What's the standard error on that measurement? Is error Gaussian or not?

	28-06-2002 02:31									#79
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quote: alg. 1, anal.1 (hah. anal 101). Then it was alg.2 (linear alg. for non-dummies), complex anal., anal. 2, then PDEs, alg.3, anal.3, Diff. Geo, then alg. 4, Geo/Top1&2.

What's with all of those algebra courses?

We only have one (if you exclude linear algebra courses). Is that the norm or is UT screwed up that way?

	28-06-2002 02:32									#80
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he said anal *giggles*

	28-06-2002 02:33									#81
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kitty, I don't think the Bessel functions are in the Hydrogen atom solution. I do remember the psherical harmonics which had Legendre polynomials in them

	28-06-2002 02:33									#82
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quote: Originally posted by Ecthelion That has been made clear on the first page, Eli. Read the thread. it's average of 18 per day. I make it 19 for today if you don't shut up

But he has a point, and didn't you just come back from Mingapulco?

	28-06-2002 02:35									#83
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quote: Originally posted by Ecthelion he said anal *giggles*

This is just not funny anymore. Stefu used this joke for at least a couple dozen times.

	28-06-2002 02:35									#84
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really?

well, Stefu's middle name contains the word 'anus', so I'm not going to get involved

	28-06-2002 02:36									#85
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I didn't get my degree from UT. Got it from McGill.

Joint Honours BSc in Math&Phys

I know that UAlberta curriculum for their math/phys students is similar in number of alg. courses. McGill's math/physics program is supposedly very well recognized (at least according to McGill teachers). It's definitely very tough on the math side of things. They cut out a few physics courses to make room for all that (no electronics, drop thesis requirement, drop one lab course).

Algebra's where it's at, man...

	28-06-2002 02:37									#86
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quote: Originally posted by GP kitty, I don't think the Bessel functions are in the Hydrogen atom solution. I do remember the psherical harmonics which had Legendre polynomials in them

I think you're right. I do recall pulling out a Bessel function in Quantum II, though. I wish I could remember what for...

	28-06-2002 02:37									#87
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That's a serious math load, kitty horse. Do physicists here take all that stuff? The boat school ones stopped at Engine Math.

	28-06-2002 02:41									#88
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No. Like I said, very heavy on the math side. The job of that program is to churn out theoreticians and mathematical physicists. Made my life easier in physics classes, though. Had better grasp of underlying structure. (All the mathematics used in physics is variations on just a few central themes)

	28-06-2002 02:43									#89
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What do you use all those extra math courses for?

Like I understand how vector calc (really just stuff from 3rd semester) goes into E/M. And how Quantum uses spherical harmonics (but we learned them in the QC course, not in math). And how ballistics uses derivatives.

What are the major areas where you apply complex analysis and algebra?

And what is algebra? Is that group theory? I do agree that group theory has some nice applications in spectroscpy and crystallography.

	28-06-2002 02:47									#90
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GP, KrazyHorse :

The next thread you open will be targeted by the ZOG.