KrazyHorse

03-08-2004, 18:34:01

Why did I do something stupid like that?

View Full Version : I just signed up for a graduate algebra class

KrazyHorse

03-08-2004, 18:34:01

Why did I do something stupid like that?

alsieboo

03-08-2004, 18:42:12

shits and giggles

TV4Fun

03-08-2004, 18:43:15

What is involved in graduate algebra? I didn't think algebra got all that advanced.

KrazyHorse

03-08-2004, 18:55:54

You'd be surprised...

TV4Fun

03-08-2004, 18:57:12

How is high-level algebra different from calculus?

KrazyHorse

03-08-2004, 18:58:14

Calculus is easy. Modern algebra is not.

KrazyHorse

03-08-2004, 18:58:43

Also, calculus is not generally taught as real math class.

TV4Fun

03-08-2004, 19:00:07

oh... What makes algebra so tricky?

KrazyHorse

03-08-2004, 19:01:34

110.601-602 Algebra

An introductory graduate course on fundamental topics

in algebra to provide the student with the foundations

for Number Theory, Algebraic Geometry, and other

advanced courses. Topics include group theory, commutative

algebra, Noetherian rings, local rings, modules,

rudiments of category theory, homological algebra, field

theory, Galois theory, and non-commutative algebras.

Prerequisites: 110.401-402.

I've seen about 1/3 of this stuff already, but it was 4-5 years ago...

An introductory graduate course on fundamental topics

in algebra to provide the student with the foundations

for Number Theory, Algebraic Geometry, and other

advanced courses. Topics include group theory, commutative

algebra, Noetherian rings, local rings, modules,

rudiments of category theory, homological algebra, field

theory, Galois theory, and non-commutative algebras.

Prerequisites: 110.401-402.

I've seen about 1/3 of this stuff already, but it was 4-5 years ago...

TV4Fun

03-08-2004, 19:05:37

Sounds like pretty simple stuff.

KrazyHorse

03-08-2004, 19:07:43

I look forward to the TV4Fun Fields medal then...

TV4Fun

03-08-2004, 19:11:07

I'll put in a good word for you.

Asher

03-08-2004, 19:16:47

"Noetherian" = wireless internet

KrazyHorse

03-08-2004, 19:18:29

Or it could be named after the only female genius the world has yet produced...

Where is Ahorns anyway...

:gasmaske:

Where is Ahorns anyway...

:gasmaske:

KrazyHorse

03-08-2004, 19:19:50

My dream girl

http://www.awm-math.org/noetherbrochure/GIFS/Noether.jpg

http://www.awm-math.org/noetherbrochure/GIFS/Noether.jpg

Asher

03-08-2004, 20:20:59

Not as sexy as Ada Lovelace:

http://www.kcl.ac.uk/humanities/history/images/lovelace.jpg

http://www.kcl.ac.uk/humanities/history/images/lovelace.jpg

JM^3

03-08-2004, 20:21:45

yah, she was great

I have been thinking about it (taking graduate algebra) myself, but can't take more than 3 classes a semester and still have physics classes I want to take (well I just have issues making myself work so taking mroe than 3 classes a semester I feel would be ill advised)

Jon Miller

I have been thinking about it (taking graduate algebra) myself, but can't take more than 3 classes a semester and still have physics classes I want to take (well I just have issues making myself work so taking mroe than 3 classes a semester I feel would be ill advised)

Jon Miller

Lazarus and the Gimp

03-08-2004, 21:52:55

Can you explain modern algebra in a way that I would understand? Bearing in mind that I think that maths is numbers, and I get confused and panicky when letters and greek stuff start appearing in it?

Resource Consumer

03-08-2004, 22:01:08

Is it that you have been watching the propaganda and think this will allow you to screw an attractive older woman? Maybe she will be entranced by your proof by indiction?

Deacon

04-08-2004, 00:29:33

Homological? Isn't that gay or something?

Sir Penguin

04-08-2004, 00:41:59

Anybody who signs up for an Algebra class is clearly too stupid to pass it.

SP

SP

BigGameHunter

04-08-2004, 01:10:40

I tried to take college introductory algebra (in a valiant attempt to confront my math phobia/illiteracy head on) and soon thereafter dropped it as the fucking asshole cheap date Chinese TA kept pronouncing "unique" as "unico(rn)" and I couldn't concentrate for shit in his class.

It all sounded like dwarves and dragons from where I was sitting.

It all sounded like dwarves and dragons from where I was sitting.

Immortal Wombat

04-08-2004, 02:48:10

I think I've seen about 1/3 of that as well. Looks like fun though.

Is this a good place for the "what's purple and commutes" joke?

Is this a good place for the "what's purple and commutes" joke?

Sir Penguin

04-08-2004, 04:49:26

Absolutely.

SP

SP

KrazyHorse@home

04-08-2004, 05:38:33

Originally posted by Immortal Wombat

I think I've seen about 1/3 of that as well. Looks like fun though.

Is this a good place for the "what's purple and commutes" joke?

Have you?

I've covered most of what there is to cover in fields (so including Galois thy etc)

Similarly with groups (did you get at least as far as Sylow thms and classifying many groups of finite order?)

Rings, modules and algebras I'm very weak on

What was your degree in?

I think I've seen about 1/3 of that as well. Looks like fun though.

Is this a good place for the "what's purple and commutes" joke?

Have you?

I've covered most of what there is to cover in fields (so including Galois thy etc)

Similarly with groups (did you get at least as far as Sylow thms and classifying many groups of finite order?)

Rings, modules and algebras I'm very weak on

What was your degree in?

KrazyHorse@home

04-08-2004, 05:39:21

Originally posted by Immortal Wombat

I think I've seen about 1/3 of that as well. Looks like fun though.

Is this a good place for the "what's purple and commutes" joke?

Sadly enough, I figured out the answer to this:

An Abelian grape

:vom:

I think I've seen about 1/3 of that as well. Looks like fun though.

Is this a good place for the "what's purple and commutes" joke?

Sadly enough, I figured out the answer to this:

An Abelian grape

:vom:

KrazyHorse@home

04-08-2004, 05:43:50

Originally posted by Lazarus and the Gimp

Can you explain modern algebra in a way that I would understand? Bearing in mind that I think that maths is numbers, and I get confused and panicky when letters and greek stuff start appearing in it?

Ummmm....

Well, imagine that instead of the regular rules for multiplying or adding numbers together you had these really odd ways of performing these operations on random symbols. The way these operations got performed on those symbols had to abide by certain rules (we call them axioms). Depending on what axioms we force the system to follow you might be talkiing about a group, a ring or a field (there are different types of each of these constructs). You can demonstrate from the axioms you're using certain general properties of the system. That's modern algebra.

Can you explain modern algebra in a way that I would understand? Bearing in mind that I think that maths is numbers, and I get confused and panicky when letters and greek stuff start appearing in it?

Ummmm....

Well, imagine that instead of the regular rules for multiplying or adding numbers together you had these really odd ways of performing these operations on random symbols. The way these operations got performed on those symbols had to abide by certain rules (we call them axioms). Depending on what axioms we force the system to follow you might be talkiing about a group, a ring or a field (there are different types of each of these constructs). You can demonstrate from the axioms you're using certain general properties of the system. That's modern algebra.

KrazyHorse@home

04-08-2004, 05:58:36

Originally posted by JM^3

yah, she was great

I have been thinking about it (taking graduate algebra) myself, but can't take more than 3 classes a semester and still have physics classes I want to take (well I just have issues making myself work so taking mroe than 3 classes a semester I feel would be ill advised)

Jon Miller

I have no physics classes to take this coming semester, and only 2 left that I ever want to take.

yah, she was great

I have been thinking about it (taking graduate algebra) myself, but can't take more than 3 classes a semester and still have physics classes I want to take (well I just have issues making myself work so taking mroe than 3 classes a semester I feel would be ill advised)

Jon Miller

I have no physics classes to take this coming semester, and only 2 left that I ever want to take.

KrazyHorse@home

04-08-2004, 06:00:51

I figure I'll take one graduate math class every semester for the rest of my time here.

Assuming 6 semesters that means:

grad algebra 1&2

algebraic topology 1&2 (should have already seen most of first half)

algebraic geometry 1&2

Then I'll almost have a fucking math PhD (minus minor things like a thesis etc) in addition to my physics PhD...

Assuming 6 semesters that means:

grad algebra 1&2

algebraic topology 1&2 (should have already seen most of first half)

algebraic geometry 1&2

Then I'll almost have a fucking math PhD (minus minor things like a thesis etc) in addition to my physics PhD...

JM^3

04-08-2004, 06:33:33

we have new or rare classes offered often

this next semester I am going to take Theory of Solids, Chaos (something or another), and Advanced Quantum Field Theory

I definitely still need to take the GR sequence and the string theory class (as well as any specials, and I sometimes think about the plasma classes or other special areas (maybe a biophysics class))

than I will go on to math classes (well, I need to take an experimental class also)

Jon Miller

this next semester I am going to take Theory of Solids, Chaos (something or another), and Advanced Quantum Field Theory

I definitely still need to take the GR sequence and the string theory class (as well as any specials, and I sometimes think about the plasma classes or other special areas (maybe a biophysics class))

than I will go on to math classes (well, I need to take an experimental class also)

Jon Miller

KrazyHorse@home

04-08-2004, 06:38:05

I've already had GR in 3 separate classes. I feel mildly comfortable with it.

The two classes I want to take the are left are basically an advanced QFT course and the second installment of grad stat mech (though given what I've seen so far this summer I should practically have learned the material for this course already).

The two classes I want to take the are left are basically an advanced QFT course and the second installment of grad stat mech (though given what I've seen so far this summer I should practically have learned the material for this course already).

JM^3

04-08-2004, 06:39:22

our advanced stat mech is different depending on who teaches it

Jon Miller

(took it once, might take it again depending on who teaches)

Jon Miller

(took it once, might take it again depending on who teaches)

KrazyHorse@home

04-08-2004, 06:43:08

I have no urge to take something as applied (in a field I don't want to do) as plasma physics.

If I have the inclination then I might take some sort of string thy course if offered.

Definitely no interest in biophys

I think there is great value in being one of few people who both understands physics to high enough level to see what details of current theories seem odd or awkward and also have enough formal training in mathematics to know branches of it which are not already applied to physics problems.

So srot of like being a mathematical physicist except that you understand more of the nitty-gritty details so that you aren't stuck merely formalising somebody else's work....

If I have the inclination then I might take some sort of string thy course if offered.

Definitely no interest in biophys

I think there is great value in being one of few people who both understands physics to high enough level to see what details of current theories seem odd or awkward and also have enough formal training in mathematics to know branches of it which are not already applied to physics problems.

So srot of like being a mathematical physicist except that you understand more of the nitty-gritty details so that you aren't stuck merely formalising somebody else's work....

JM^3

04-08-2004, 06:45:20

yah, that would be cool

I just sorta want a little bit of knowledge in everything

Jon Miller

I just sorta want a little bit of knowledge in everything

Jon Miller

KrazyHorse@home

04-08-2004, 06:54:36

I have to admit that half the reason for taking the aforementioned math classes is just for fun.

I'm tired of my math PhD friends lording it over me because I don't understand stuff about cohomologies etc.

I'm tired of my math PhD friends lording it over me because I don't understand stuff about cohomologies etc.

JM^3

04-08-2004, 06:56:59

in some ways I like math better than physics

there is more new, strange, interesting ideas

as far as I can tell

JM

there is more new, strange, interesting ideas

as far as I can tell

JM

The Mad Monk

04-08-2004, 06:58:42

Chaos (something or another)

Seems like a really appropriate title that that kind of class. :)

Seems like a really appropriate title that that kind of class. :)

KrazyHorse@home

04-08-2004, 07:02:06

In some ways, me too.

Unfortunately I'm a better physicist than I am mathematician, by far.

I lack the focus of mind to produce rigourous proofs at anywhere near the level required.

I tend to think about problems in very brief bursts. If I can concentrate for 5 minutes at a stretch on a single item then I'm doing well. This is alleviated when doing physics because I have a very decent physical/geometric intuition. I can "see" the solution long before I get to it. If I get to a problem where I am unable to do this then I have a lot of trouble. I'm only a mediocre symbol-pusher....

Unfortunately I'm a better physicist than I am mathematician, by far.

I lack the focus of mind to produce rigourous proofs at anywhere near the level required.

I tend to think about problems in very brief bursts. If I can concentrate for 5 minutes at a stretch on a single item then I'm doing well. This is alleviated when doing physics because I have a very decent physical/geometric intuition. I can "see" the solution long before I get to it. If I get to a problem where I am unable to do this then I have a lot of trouble. I'm only a mediocre symbol-pusher....

JM^3

04-08-2004, 07:06:38

yah, I also have issues with proofs (well, I have issues with communication period)

pushing symbols is relatively boring (well, it is better than a lot of other things, but the most boring of what I want to do)

Jon Miller

(I think the course is named Chaotic Dynamics, but I could be slightly mixed up (they are offereing a special one this semester))

pushing symbols is relatively boring (well, it is better than a lot of other things, but the most boring of what I want to do)

Jon Miller

(I think the course is named Chaotic Dynamics, but I could be slightly mixed up (they are offereing a special one this semester))

KrazyHorse@home

04-08-2004, 07:09:06

In proofs I tend to make a lot of true statements (with no justification) and then throw them together and claim (with no justification) that their sum total equals the thm I was trying to prove....

JM^3

04-08-2004, 07:15:45

I tend to word things really poorly (I lose my proof writing skills fast (if I am lucky I gain them before the end of the class, and I always lose them before a month has gone by)), and also sometimes say things that are correct but leave out the subtleties (which is very bad)

Jon Miller

Jon Miller

HelloKitty

04-08-2004, 20:50:29

Originally posted by KrazyHorse@home

I have to admit that half the reason for taking the aforementioned math classes is just for fun.

I'm tired of my math PhD friends lording it over me because I don't understand stuff about cohomologies etc.

OH my. Your life must be pretty bad if Math PhDs are bullies for you.

I have to admit that half the reason for taking the aforementioned math classes is just for fun.

I'm tired of my math PhD friends lording it over me because I don't understand stuff about cohomologies etc.

OH my. Your life must be pretty bad if Math PhDs are bullies for you.

BigGameHunter

04-08-2004, 20:54:02

Shit, the hardest class I took in college was probably Philosophy.

I'd burst into tears in any one of those classes...

I'd burst into tears in any one of those classes...

TCO

05-08-2004, 00:02:23

god dayum kitty. I just had a career discussion with a very high up person about getting into pure business role. Then I read shit like that and get geek penis envy...and remember your advice about leqaving the evil side and creating something with chemistry.

Asher

05-08-2004, 04:35:42

Originally posted by BigGameHunter

Shit, the hardest class I took in college was probably Philosophy.

I'd burst into tears in any one of those classes...

Philosophy?!

I've taken two so far, went to two lectures of each, did my papers the day before they were due, and didn't study for the finals -- and I got an A- and an A.

Philosophy courses are notorious joke courses.

The idea for most compsci people is to find the easiest joke classes to take for options to boost the GPA: English, philosophy, history, psychology, etc. Yuo know, BA stuff.

Shit, the hardest class I took in college was probably Philosophy.

I'd burst into tears in any one of those classes...

Philosophy?!

I've taken two so far, went to two lectures of each, did my papers the day before they were due, and didn't study for the finals -- and I got an A- and an A.

Philosophy courses are notorious joke courses.

The idea for most compsci people is to find the easiest joke classes to take for options to boost the GPA: English, philosophy, history, psychology, etc. Yuo know, BA stuff.

The Mad Monk

05-08-2004, 04:41:12

Try Intro to Accounting -- easiest 4.0 I ever got.

The Mad Monk

05-08-2004, 04:41:56

Actually, I wound up taking a minor in Accounting just for the GPA boost.

BigGameHunter

05-08-2004, 09:25:16

Oh dear...I do hope you aren't disparaging the Arts, young man.

While rather bereft of practical, income generating applications after college, a Bachelor's of Arts is a very soul lifting endeavor.

Plus, as you have so ironically failed to note, there is not any good eye candy in a nerd herd. Literature classes and the like are filled with lovely ladies.

Get your priorities straight, Einstein.

While rather bereft of practical, income generating applications after college, a Bachelor's of Arts is a very soul lifting endeavor.

Plus, as you have so ironically failed to note, there is not any good eye candy in a nerd herd. Literature classes and the like are filled with lovely ladies.

Get your priorities straight, Einstein.

The Mad Monk

05-08-2004, 10:03:48

You're talking to Asher, right?

Darkstar

05-08-2004, 19:59:11

Point, TMM.

Lazarus and the Gimp

05-08-2004, 20:04:16

Easiest course I ever took was a science- Economics. Law, on the other hand, is an Art- and a bit of a challenge.

KrazyHorse@home

05-08-2004, 21:41:06

Maybe economics is a science in your neck of the woods, but it ain't in mine...

;)

;)

TCO

05-07-2006, 05:02:27

Kitty, maybe you can go over here and straighten Steve out a bit. He's 60 years old, so I'm sure he can't sling algebra like he should. Go find some flaws in his proofs. He's a Canuckian so will understand your odd hockey references...

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