>>5
Delta/epsilon = real analysis. The AP exam does not require any delta/epsilon proofs. The OP was concerned about the exams. What moar do you want?
Name:
Anonymous2007-08-06 9:55 ID:CgiLuVld
The Riemann integral is less powerful than the Lebesgue integral. But I don't think anywhere actually teaches Lebesgue instead of Riemann, which is sad.
Name:
Anonymous2007-08-06 11:26 ID:PJ/OPBHl
>>8
In the US, Lebesgue may not be taught until early graduate courses. It's kind of sad. The schools with stronger math departments teach Lebesgue near the end of the undergrad stream.
Of course, most applied disciplines don't bother with these classes. Engineers usually only take enough mathematics to get a "feel" for PDEs and (possibly) complex variables.
Name:
Anonymous2007-08-06 13:35 ID:CgiLuVld
>>9
I'm surprised to hear it's taught anywhere at all: in the UK it's more or less unheard of unless you are in a specific research discipline that requires it. (I've a friend in complex dynamics and a friend in probability, and Riemann just doesn't cut it quite alot of the time so they need him; but they wouldn't otherwise I'm quite sure.)
Name:
Anonymous2007-08-06 14:42 ID:emjTBNJl
>>10
I'm doing maths at Cambridge uni, just completed my first year. It was mentioned to us as an alternative, during Analysis1 lectures, but that was all I've heard. Analysis2 may go into it a little, I'm not certain.
At any point in the English higher education of mathematics, Americans can be as much as about 5 years behind.
And Russians seem to do very well.
Name:
Anonymous2007-08-06 16:09 ID:0r/V7sqW
eastern european fag here. it's taught at uni level in the 3rd (of 4) year in a mandatory one semester course called 'measure theory'. it's also mentioned in analysis 1 (ooh look you can integrate over \Sigma_Q too bad most of you won't get there)
Name:
Anonymous2007-08-06 18:34 ID:gbRGY1Cl
Lebesgue integration is taught as one of the first topics in the Honors Analysis I course for first and second years at UChicago, which is an american uni.
And Lebesgue isn't the only integral. There's Darboux, Stieltjies, Bochner, Daniell, Ito, That other Russian faggot who did the other stochastic integral that chooses the midpoint instead of the endpoint in its integral definition (Ito integration chooses the endpoint for you newfags)... Lebesgue integral just happens to be one of the most convenient.
At its most general, an integral with respect to a measure is simply a linear functional from a function spcae with elements taking values on the measure space into this space. That's all. (Well, that's the Daniell view of integration, at least.)
SO LIGHTEN THE FUCK UP ABOUT LEBESGUE ITS NOT NECESSARILY THE BEST OR MOST GENERAL
I've only taken the first semester test (I think that's AB right?) but I got a 5 on it and I think what helped me the most was taking a couple of the previous calculus tests to find out what I didn't know how to do and then figuring out how to do it. I had trouble with free response problems that were like your filling up a tank with this equation and you need to find out how fast the volume is increasing and how fast the hight of the water is increasing, but after doing 2 or 3 of those problems and spending some time on them I remembered how to do it on the real test.
Name:
Anonymous2007-08-07 8:51 ID:EuXbTt0p
calculus B.C. (before christ) was all about GILGAMESH
lol what'd you get?
I've also just finished first year maths at trinity.
They did mention that we'd do lebesgue, probably in IB.
They said that it would integrate a function that is defined as 0 on all irrational points and 1 on all rational points between 0 and 1.
Common sense says the integral is 1, but it's undefined in riemann.
They probably either missed the lecture or weren't listening too hard, it was a real offhand comment
Name:
4tran2007-08-07 13:42 ID:EMpy3LO8
>>19
I thought common sense would say that the integral is 0, since there are an uncountably infinite # of irrational numbers >> a countably infinite # of ratinal numbers?
#11 here, sorry this is a bit overdue, I keep skipping over this thread because it's so boring! I didn't know there were any other 4channers from my year in uni, except another one that I know from Clare. Yeah I'm from Clare by the way, ha.
Nice work on the S in STEP 3. I got I in STEP3 and S in STEP2. How'd your exams go?
Name:
Anonymous2007-08-08 4:11 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
Name:
Anonymous2007-08-08 4:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
Name:
Anonymous2007-08-08 4:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
Name:
Anonymous2007-08-08 4:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
Name:
Anonymous2007-08-08 4:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
Name:
Anonymous2007-08-08 4:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
Haha, ok yeah me too (I'm the Clare student to avoid unbridled confusion).
I got nothing through the post, which suggests my marks might have been too horrible to endure the idea of showing them to me. I know last year's IA students found their marks :s
Name:
Anonymous2007-08-08 19:42 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
35 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
36 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
37 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
38 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
39 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
It means the cleverest maths people are at trinity lolburn.
I had a formal swap with clare first year girls drinking society last year. They were dissapointingly unnatractive.
Name:
Anonymous2007-08-09 15:21 ID:FUIy5uPr
cambridge students on 4chan lol, but then again you are maths students
oh ooohh flame-war on the horizon. I guess you could say the best people at maths are at trinity, but you're all maladjusted unsocial freaks too :p
The girls in the year above aren't great. Neither are most of the ones in this year, couple of fitties though, aye.
Name:
Anonymous2007-08-10 12:05 ID:ndKnLVqc
■ ▲ ▼
[6:61] Calculus BC
1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
57 Name: Anonymous : 2007-08-09 04:12 ID:oPQ/g2ly 1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
50 Name: Anonymous : 2007-08-08 19:42 ID:eIzj6N2n calculus B.C. (before christ) was all about GILGAMESH
35 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
36 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
37 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
What's that supposed to mean!? haha
59 Name: Anonymous : 2007-08-09 13:12 ID:61UnvZB5 >>58
It means the cleverest maths people are at trinity lolburn.
I had a formal swap with clare first year girls drinking society last year. They were dissapointingly unnatractive.
60 Name: Anonymous : 2007-08-09 15:21 ID:FUIy5uPr cambridge students on 4chan lol, but then again you are maths
Name:
Anonymous2007-08-10 12:05 ID:ndKnLVqc
■ ▲ ▼
[6:61] Calculus BC
1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
57 Name: Anonymous : 2007-08-09 04:12 ID:oPQ/g2ly 1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
50 Name: Anonymous : 2007-08-08 19:42 ID:eIzj6N2n calculus B.C. (before christ) was all about GILGAMESH
35 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
36 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
37 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
What's that supposed to mean!? haha
59 Name: Anonymous : 2007-08-09 13:12 ID:61UnvZB5 >>58
It means the cleverest maths people are at trinity lolburn.
I had a formal swap with clare first year girls drinking society last year. They were dissapointingly unnatractive.
60 Name: Anonymous : 2007-08-09 15:21 ID:FUIy5uPr cambridge students on 4chan lol, but then again you are maths
Name:
Anonymous2007-08-10 12:05 ID:ndKnLVqc
■ ▲ ▼
[6:61] Calculus BC
1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
57 Name: Anonymous : 2007-08-09 04:12 ID:oPQ/g2ly 1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
50 Name: Anonymous : 2007-08-08 19:42 ID:eIzj6N2n calculus B.C. (before christ) was all about GILGAMESH
35 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
36 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
37 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
What's that supposed to mean!? haha
59 Name: Anonymous : 2007-08-09 13:12 ID:61UnvZB5 >>58
It means the cleverest maths people are at trinity lolburn.
I had a formal swap with clare first year girls drinking society last year. They were dissapointingly unnatractive.
60 Name: Anonymous : 2007-08-09 15:21 ID:FUIy5uPr cambridge students on 4chan lol, but then again you are maths
Name:
Anonymous2007-08-10 12:05 ID:ndKnLVqc
■ ▲ ▼
[6:61] Calculus BC
1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
57 Name: Anonymous : 2007-08-09 04:12 ID:oPQ/g2ly 1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
50 Name: Anonymous : 2007-08-08 19:42 ID:eIzj6N2n calculus B.C. (before christ) was all about GILGAMESH
35 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
36 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
37 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
What's that supposed to mean!? haha
59 Name: Anonymous : 2007-08-09 13:12 ID:61UnvZB5 >>58
It means the cleverest maths people are at trinity lolburn.
I had a formal swap with clare first year girls drinking society last year. They were dissapointingly unnatractive.
60 Name: Anonymous : 2007-08-09 15:21 ID:FUIy5uPr cambridge students on 4chan lol, but then again you are maths
Name:
Anonymous2007-08-10 12:05 ID:ndKnLVqc
■ ▲ ▼
[6:61] Calculus BC
1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
57 Name: Anonymous : 2007-08-09 04:12 ID:oPQ/g2ly 1 Name: Anonymous : 2007-08-03 17:30 ID:OGvRLxiR OK, this anon sucked BC Calculus pretty hard. Anyone know of a good way to review BC along with AB?
The 5 newest replies are shown below.
Read this thread from the beginning
50 Name: Anonymous : 2007-08-08 19:42 ID:eIzj6N2n calculus B.C. (before christ) was all about GILGAMESH
35 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
36 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
37 Name: Anonymous : 2007-08-08 04:12 ID:eIzj6N2n
calculus B.C. (before christ) was all about GILGAMESH
What's that supposed to mean!? haha
59 Name: Anonymous : 2007-08-09 13:12 ID:61UnvZB5 >>58
It means the cleverest maths people are at trinity lolburn.
I had a formal swap with clare first year girls drinking society last year. They were dissapointingly unnatractive.
60 Name: Anonymous : 2007-08-09 15:21 ID:FUIy5uPr cambridge students on 4chan lol, but then again you are maths
Cong has aspergers and is actually an alright guy despite it.
I mean, obviously he's fucking weird, but at least he tries to be normal.
Whereas the other mathmos hang out in their little mathmo crowd and try to be weird.
No idea who james lloyd is.
Haha, do you not hang out in the mathmo crowd then? One time Cong brought a big 5 litre bottle of water to Met & T, so a mate and I decided to see how much we could drink of it while he wasn't looking. We then found an 18L bottle upstairs outside the library (it was one of those water cooler ones) and brought it in during Numerical Analysis, sat on the desk right behind him.
You must know the sort, it's the same as in secondary school.
The people with poor social skills all hang around together doing stupid things.
Name:
Anonymous2007-08-13 12:33 ID:A0DUVWX7
>>87
Hanging around together and doing stupid things is per definition social, and requires social skills. That you aren't very compatible with their little clique doesn't mean otherwise.
Well if I can give you one piece of advice, don't hang about with the maths crowd just because they're there. At least try to talk to other people.
Uni is no way near as cliquey as secondary, and it is very possible to know most people in your year well enough to hang about with (By most people I mean most people who leave their rooms, obviously it's harder to get to know them people, but who wants to)
Name:
Anonymous2007-08-14 15:36 ID:9lxnGJdV
Get AB and BC practice exam books. Don't skip problems. Do entire tests, not stopping until you're sure you can answer each problem with a fair amount of confidence.
Name:
Anonymous2007-08-14 15:37 ID:9lxnGJdV
Get AB and BC practice exam books. Don't skip problems. Do entire tests, not stopping until you're sure you can answer each problem with a fair amount of confidence.
Name:
Anonymous2007-08-14 16:01 ID:KqwZZi60
Read the SPIVAK to become EXPERT ANALYSIST.
DIFFERENTIATION and INTEGRATION are easy, they are simply CLASSES OF FUNCTIONS, and functions are simply SETS. YOU'RE NOT AN IDIOT WHAT THINKS SET THEORY IS HARD, ARE YOU???
YOU ARE WELCOME FOR EXPERT ANALYSIST'S VALUABLE TIME. GOOD MORNING.
It's me again. Clarefag & Trinity Anon, I got my results yesterday: I got an S on both STEP II and III and so am off to Cambridge soon - yippie ^____^.
Name:
4tran2007-08-17 19:16 ID:lZ2uTzPk
>>96
Congratulations! Enjoy your stay at Cambridge XD
Nice one mate. I just got an email about my College children (I'm not sure if this is only a Clare thing), I'm almost excited about having a son and daughter to deeply disturb.
Trinity does this too -- except as far as I know they aren't called children. Calling them children is slightly creepy but nevermind. I'm still waiting for my tutor to contact me -- hope they're ace.
>>103
They're called children here too. Luckily they don't give you children from your own subject, so I shouldn't get any autistic maths children, which should be nice.
We haven't been told who our "children" are though yet, so it'll be a while yet till you're contacted.
Luckily I know our welfare officer well, so I'm trying to persuade her to give me attractive women, without trying to sound like I'm going to attempt to abuse my position of power.