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Reply 60
I think Kolya's point was spot on - it's about which one would suit YOU. Nobody's going to look down on you if you went to Cambridge instead of MIT/Harvard. Your employment opportunities and prestige will be more or less equivalent at all the top places.

The thing to look out for is which one has the course better suited for you. For example, Oxford's Maths course lets you do no Economics modules from their Economics and Management course, where as Warwick's Maths course will even let you do a History module!

Also, your education at Oxbridge is likely to be not as good as some "mediocre" universities simply because they encourage a lot of independent study + their terms are much shorter. It could be the case that MIT has better lecturers than, say, Cambridge.

It's these kind of factors which truly matter, in my opinion, if you're going to a top 10 university (worldwide).

*Edit*

Personally, I like Oxbridge because it's pretty, has some history and because my school is obsessed with Oxbridge applicants (the education isn't that bad either :shifty:). Also, I just wouldn't want to study in America for an undergraduate degree. Not to mention, American universities are really expensive!
Kolya
Oh? So what exactly do you think the purpose is of a thread that begins:

"Are there any universities in the world (US, in particular) that are better than Oxbridge? Which ones?"

I believe that makes the context perfectly clear and, with all due respect, I think you have seriously misjudged it.


Are we switching the topic now?
DFranklin
Possibly to you, on the other hand I read it completely differently.


Fair enough, that is how I understood it.

DFranklin

Put it like this: Take a candidate with BBC who has a place at some ex-Poly to study maths, and put them in Cambridge instead. What do you think is going to happen to them? So is Cambridge really the "best" university for them to study maths?


Yes that particular may have a burning interest in mathematics I am not disputing that or that students with lesser grades (which today seems to be <AAA) should not go to university. But clearly comparing graduates from a BBC university and Princeton will yield a significant difference.

The point I am trying to bring forth is that the most difficult courses will yield the most qualified mathematicians.

DFranklin

The extreme case is the "Math 55" course at Harvard, which, to my eyes, is significantly harder than the Cambridge course. The only problem is that very few people even try to take it, and of those, about half end up dropping out. So by your definition, it is clearly "better", even though the vast majority of people would be better doing something else.


No now you are skewing my argument. To even attempt Math 55 you have to be a of a considerable standard. Compare an 'attamptee' to someone else I believe you will find a difference in mathematical ability.

DFranklin

When your definition of "good mathematician" depends on ones of historical note, you are probably talking about something like the top 0.01% of graduates. I'm not sure that is terribly useful.


Look at, historically, the amasses of great mathematicians that the top tier universities have produced. Surely there must be an underlying cause rather than pure coincidence.

DFranklin

In my experience, being able to pick up (several) graduate concepts at all puts you well into the 'good' band. There are lots and lots of undergrads who don't understand their courses. I was specifically told for one Part II course "oh, we have to make the questions easy - we know hardly anyone will really understand the course".


Yes I found similar trends where I did maths, albeit for a brief period, exams were being dumbed down for the masses, and this was not a very high profile institution.

DFranklin

I studied analysis at Kings London before going to Cambridge. Sure, the course wasn't as demanding, but most people did understand it. If you were to have Cambridge calibre students take that course, and then sit the Tripos exams, I'm genuinely unsure whether you'd end up with more of them getting firsts than under the Tripos as I sat it (ironically it's probably less true now, because the Tripos now "spoon feeds" a little more than it used to).

At the end of the day, what makes Cambridge exceptional is the overall calibre of the students and teachers. In my experience, the actual lecturing isn't anything to write home about.


Ergo Cambridge does in fact produce better maths graduates going my mathematical knowledge. Or is that an erroneous point to make?
Reply 63
Master Polhem
Are we switching the topic now?
I have only ever been addressing one topic, and that is which university is the best place in the world to study undergrad math. I said that "which university is the "best" for you depends on who are you", which is pretty obvious (cf. DFranklin's example).

I'm not sure what you have been talking about, but it sounds like you have some issues about universities that aren't related to what I have been talking about (and hence not relevant to this thread).

I have remembered an article by Terence Tao, and he basically makes similar points to the ones I have put forward: http://terrytao.wordpress.com/career-advice/which-universities-should-one-apply-to/
Reply 64
Irrespective of its place in the leage table, you shouldn't go do maths at Oxford. The university is a festering cesspit, and you will exhaust all your mental resources in restraining the urge to headbutt your "fellow students".
Which can kinda put a damper on your study success.
Psyonif
Irrespective of its place in the leage table, you shouldn't go do maths at Oxford. The university is a festering cesspit, and you will exhaust all your mental resources in restraining the urge to headbutt your "fellow students".
Which can kinda put a damper on your study success.


Very interesting insight, you are brave to reveal such truth. So are you at Oxford at present? And if so as a student or resident? By the way I love the sig and the Imperial cruiser (I think, it's been a while since 40K soaked up all my financial and artistic resources).
Reply 66
Chemical_Scum
Very interesting insight, you are brave to reveal such truth. So are you at Oxford at present? And if so as a student or resident? By the way I love the sig and the Imperial cruiser (I think, it's been a while since 40K soaked up all my financial and artistic resources).


Y thankyou. And it is indeed. I've never played Warhamster, but I can appreciate flashy dystopian spaceships when I see 'em.

I'm a student. And don't think that I vitriolicly dislike Oxford and everything about it... it has its moments, rare though they might be. I think the best way to describe me is "disenchanted". To quote myself on an earlier thread:

I was sold on the City of Dreaming Spires being some sort of intellectual wonderland where geniuses from around the world discussed Nietzche in oak-panneled sitting rooms, and you got intense, creative, one-on-one tutorial sessions from world-famed professors about the mysteries of the universe.

And then 3 years later I find myself sat in a cramped classroom (complete with rising damp and broken heating) with 20 other (bored) tweenagers, while a doctoral student only 3 years older than me transcribes answers unthinkingly off a crib sheet onto a whiteboard. The guy on my left is nursing a hangover, the guy on my right can't speak an intelligeble sentence of English, and if heaven forfend I deign to ask a question I will (a) recieve baleful stares from everyone else in the class for delaying their return to the JCR and thereby causing them to miss the first minute of Hollyoaks, and (b) recieve no real answer as said doctoral student dosn't know either.

I wouldn't mind nearly so much if everyone didn't keep plugging the Dreaming-Spires-intellectual-wonderland myth.
But they do.
And it's a complete crock.

Enough to make a man extremely bitter and disillusioned, I tells ya.
Reply 67
Psyonif
I'm a student.


The thread is going off topic but I can't help but ask; which subject?

I hate to say it, but I don't think you're even exaggerating. I was shocked by some of the students I saw at the interviews + was surprised by being interviewed by STUDENTS and not tutors!
Reply 68
Swayum
The thread is going off topic but I can't help but ask; which subject?


I don't even know any more. I suspect it's Mandarin or something. That's the language everyone else in the lecture theatre speaks.
Psyonif
Y thankyou. And it is indeed. I've never played Warhamster, but I can appreciate flashy dystopian spaceships when I see 'em.

I'm a student. And don't think that I vitriolicly dislike Oxford and everything about it... it has its moments, rare though they might be. I think the best way to describe me is "disenchanted". To quote myself on an earlier thread:

I was sold on the City of Dreaming Spires being some sort of intellectual wonderland where geniuses from around the world discussed Nietzche in oak-panneled sitting rooms, and you got intense, creative, one-on-one tutorial sessions from world-famed professors about the mysteries of the universe.

And then 3 years later I find myself sat in a cramped classroom (complete with rising damp and broken heating) with 20 other (bored) tweenagers, while a doctoral student only 3 years older than me transcribes answers unthinkingly off a crib sheet onto a whiteboard. The guy on my left is nursing a hangover, the guy on my right can't speak an intelligeble sentence of English, and if heaven forfend I deign to ask a question I will (a) recieve baleful stares from everyone else in the class for delaying their return to the JCR and thereby causing them to miss the first minute of Hollyoaks, and (b) recieve no real answer as said doctoral student dosn't know either.

I wouldn't mind nearly so much if everyone didn't keep plugging the Dreaming-Spires-intellectual-wonderland myth.
But they do.
And it's a complete crock.


Enough to make a man extremely bitter and disillusioned, I tells ya.


You have quite a way with words I must say. Beautifully put. The bold is something I too am fighting as I found all you said to be true based on my observations of other applicants and current students in particular. I went out of my way during my time there to find out what my peers would be like and I was bitterly disappointed. The sad truth is that truly brilliant and inspirational people are far too rare to be found in substantial numbers. Instead one must make do with good students who can tell you all about these truly brilliant people, if they're actually interested in them that is.
Reply 70
Kolya
I have remembered an article by Terence Tao, and he basically makes similar points to the ones I have put forward: http://terrytao.wordpress.com/career-advice/which-universities-should-one-apply-to/


A couple dozen tabs later, I come to this interesting page about the cult of genius from that link:

During high school or college, many aspiring physicists latch onto Feynman or Einstein or Hawking as representing all they hope to become. The problem is, the vast majority of us are just not that smart. Oh sure, we’re plenty clever, and are whizzes at figuring out the tip when the check comes due, but we’re not Feynman-Einstein-Hawking smart. We go through a phase where we hope that we are, and then reality sets in, and we either (1) deal, (2) spend the rest of our career trying to hide the fact that we’re not, or (3) drop out.

[...]

I’ve always suspected that we lose talent from the field because people opt for Door #3 (drop out) when they face up to the fact that physics is frequently hard, even for very clever people.

[...]

Those of us who are fortunate enough to sail through high school often crumple when the stuff we’re allegedly good at finally becomes hard. Whether you “make it” as a physicist after that has a lot to do with how you respond at that moment. Do you take it as a sign that you’re not cut out for the game? Do you feel like a failure, and stop enjoying physics as a whole? Do you buck up and forge ahead?


It seems to be more or less the same point DFranklin was making in another thread the other day...
Kolya

I'm not sure what you have been talking about, but it sounds like you have some issues about universities that aren't related to what I have been talking about (and hence not relevant to this thread).

I have remembered an article by Terence Tao, and he basically makes similar points to the ones I have put forward: http://terrytao.wordpress.com/career-advice/which-universities-should-one-apply-to/


I don't think I have ever mentioned a university which you would not have heard of.

Interesting article.
Master Polhem
Yes that particular may have a burning interest in mathematics I am not disputing that or that students with lesser grades (which today seems to be <AAA) should not go to university. But clearly comparing graduates from a BBC university and Princeton will yield a significant difference.
Which is somewhat irrelevant, given that Kolya said: "which university is the "best" for you depends on who are you!". If you're a BBC student, going to Princeton would be disasterous for you. Are you seriously arguing otherwise?

The point I am trying to bring forth is that the most difficult courses will yield the most qualified mathematicians.
Again, this is irrelevant given the quote Kolya made.

No now you are skewing my argument.
No, you are refusing to take on board what Kolya said. Now I can accept you ignoring his point, but when you lay into him for saying something, and your whole argument is based on ignoring what he actually said, that is a horse of a different colour.

Look at, historically, the amasses of great mathematicians that the top tier universities have produced. Surely there must be an underlying cause rather than pure coincidence.
IMHO the underlying "cause" is that they have a great reputation, so the better mathematicians go there. It doesn't mean the university is actually any good at teaching them. Have a look at what Hardy had to say about the Cambridge undergraduate system of his time (loosely: "it's ruining pure maths in England"). Even though Hardy and Littlewood were products of the system, his view was much of what they achieved was despite the Cambridge Tripos, not because of it.

Yes I found similar trends where I did maths, albeit for a brief period, exams were being dumbed down for the masses, and this was not a very high profile institution.
I think you misunderstand. This was a course at Cambridge, the standard hadn't changed noticably over a decade, and in general only the top people would take it (at my college everyone taking that course was in the top 20% of the firsts). But it was still regarded as far too difficult for an undergraduate to reasonably understand.

Ergo Cambridge does in fact produce better maths graduates going my mathematical knowledge. Or is that an erroneous point to make?
Completely erroneous. Given what I posted, I'm not entirely sure how you came to that conclusion, to be honest. The only thing I can think of is that you think a course that covers more material is necesarily "better". But in reality there is a difference between what the course covers and what people actually learn from it.

Anyhow, I think you're arguing against a statement Kolya never actually made, so perhaps we should just let this drop now.
DFranklin
Which is somewhat irrelevant, given that Kolya said: "which university is the "best" for you depends on who are you!". If you're a BBC student, going to Princeton would be disasterous for you. Are you seriously arguing otherwise?


It is a moot point seeing as they would not accept anyone below par anyway.

DFranklin

No, you are refusing to take on board what Kolya said. Now I can accept you ignoring his point, but when you lay into him for saying something, and your whole argument is based on ignoring what he actually said, that is a horse of a different colour.


I would not call arguing for my point and standing my ground 'refusing' I am perfectly aware of what I quoted him for.

DFranklin

I think you misunderstand. This was a course at Cambridge, the standard hadn't changed noticably over a decade, and in general only the top people would take it (at my college everyone taking that course was in the top 20% of the firsts). But it was still regarded as far too difficult for an undergraduate to reasonably understand.


But how does that support your point? Being challenged to a very high degree is part of learning, and some would even argue when most people learn at best, i.e. when extremely challenged with difficult concepts you will strive a lot harder to learn them. So going back to the original point the 'best' for very clever people will (extrapolating) lead them to become higher tier mathematicians by pure virtue of the rigour they have had to put in to learn their material. Yes, as you say, some of the material is most likely too difficult at times but to reach that point requires considerable effort more so than a course elsewhere where the content is more spoon-fed if you will. Again I am not challenging you first hand experience of Cambridge I am just putting forth how I think and people I know of.

DFranklin

Completely erroneous. Given what I posted, I'm not entirely sure how you came to that conclusion, to be honest. The only thing I can think of is that you think a course that covers more material is necesarily "better". But in reality there is a difference between what the course covers and what people actually learn from it.

Anyhow, I think you're arguing against a statement Kolya never actually made, so perhaps we should just let this drop now.


No I think a more difficult course will force people to learn more. But that may well be only anecdotal evidence seeing that you so strongly contest this view.

Again I do not believe that you will gain as good an education from a lower institution than a higher one based upon your personal conviction. If you are pushed then I think you will learn. Maybe I have a twisted world view.

Yes this does appear to be a rather unpopular discussion...
Master Polhem
But how does that support your point? Being challenged to a very high degree is part of learning, and some would even argue when most people learn at best, i.e. when extremely challenged with difficult concepts you will strive a lot harder to learn them.No, if extremely challenged with difficult concepts, most people will end up not understanding them. As evidenced by the fact that even the brightest students at Cambridge were unable to answer more than the simplest questions on the course in question. (My supervisor for that course was also the chief examiner and specialised in the area, and he specifically told me it was always problematic for the examiners, since they knew if they asked anything deep, no-one would answer the questions, and pretty soon, no-one would bother taking the course).

No I think a more difficult course will force people to learn more. But that may well be only anecdotal evidence seeing that you so strongly contest this view.
If the course is too difficult, people will end up learning less. This is both intuitively obvious, and born out by lots of actual occurences in real life.

Notably, Cambridge used to have a "fast" course option for some of the IA tripos, where you would cover 25% more material in the same time. For one of the courses, the (very) strong advice from my college was to go to the "slow" course (in fact, I was given an ultimatum that they wouldn't supervise me for it if I carried on going to the fast course). So it's pretty obvious my college thought you'd "learn less" on the "fast" course (my college being pretty keen on people doing as well as possible in the exams).

OK, that case was partly because the lecturer was terrible, but a large part of his terribleness was a totally inappropriate choice of abstraction level.

There was also someone in the year above me who scraped a 3rd in his finals after some discussion amongst the examiners. Hearsay has it that the external examiner said "I'm sure he'd have done very well at my own university, but I'm really struggling to justify giving him even a third from the knowledge he's shown in the exams".

If you are pushed then I think you will learn. Maybe I have a twisted world view.
You can only push so far, then people start breaking. There are many universities where the lecturers are capable of pushing people as fast as at Cambridge. Only problem is, they'd end up with 95% of their students dropping out in less than a year.

And at Cambridge itself, there were usually an awful lot of fairly depressed and disillusioned mathmos after the first couple of terms. "I used to enjoy maths before I came here" being a particularly poignant comment I heard more than once.
DFranklin

And at Cambridge itself, there were usually an awful lot of fairly depressed and disillusioned mathmos after the first couple of terms. "I used to enjoy maths before I came here" being a particularly poignant comment I heard more than once.


I stand corrected. Thank you for explaining.
Reply 76
DFranklin
And at Cambridge itself, there were usually an awful lot of fairly depressed and disillusioned mathmos after the first couple of terms. "I used to enjoy maths before I came here" being a particularly poignant comment I heard more than once.


An accurate indictment for Toff-ford as well. You want to purge from your soul every scrap of enthusiasm and curiosity you have for a subject: go study it at Oxbridge.

(Not a recommended course of action if you're from a low-income family, though.)

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