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# Mathematics Applicants 2012 watch

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1. (Original post by ben-smith)
As you can tell from my post, what I wrote was not what any sane person would actually write down in an exam so you'll forgive me if my solutions are less than rigorous.
For 4, I am pretty much saying what you said. To make it all one fraction you only have to multiply and divide by x^4 which is strictly positive so I don't think you have to worry about such things.
I have actually done the question, just saying how I would roughly do it.
Yeah, of course, I'd never dare to try and write out a full solution on TSR...

But yeah I'm sure you'll be fine, it's just a case of looking out for the little details and special cases because Cambridge love nothing more than to try and trick you...
2. (Original post by TheMagicMan)
Yep. Hopefully there are some more challenging ones down the road. I think the best way to do 3 is to consider the power series of cos(x) and that P(x) must be finite
When I did that Q originally, I considering the solution to dP/dx=0, which is also a polynomial. So there a finite number of solutions bounded by the order of this derivative polynomial. So after the largest absolute solution, the gradient must remain + or -. And the difference would eventually exceed the limit given. This is just as waffly as you/ Ben's posts, but nonetheless. Nice way to waste extra time on a step exam.

Edit: just noticed some of the above posts, nevermind.
3. (Original post by Aristotle's' Disciple)
Can you use Latex and show me iv) please? I was trying to do it by counter example, just finding a value that contradicted the statement. :/
The problem is that it is true

Basically

Spoiler:
Show

Since our inequlaity is true as

4. (Original post by twig)
When I did that Q originally, I considering the solution to dP/dx=0, which is also a polynomial. So there a finite number of solutions bounded by the order of this derivative polynomial. So after the largest absolute solution, the gradient must remain + or -. And the difference would eventually exceed the limit given. This is just as waffly as you/ Ben's posts, but nonetheless. Nice way to waste extra time on a step exam.

Edit: just noticed some of the above posts, nevermind.
Your solution is basically the same as mine. You just justified it a bit more.
It's nicer.
5. (Original post by Aristotle's' Disciple)
2012 ucas? :s
yeah

(Original post by anyone_can_fly)

My parents both work at Edinburgh, they were sitting looking at their e-mail last night just saying, "how could they be so stupid?". Apparently the main reason they did it was that they heard a rumour that St. Andrews is planning to do the same.
but st andrews is going to let people who can do the 4 year course in 3. edinburgh isn't even goin to do that. thats £36000 fees and then 4 years worth of living costs ontop on that!!
6. (Original post by jonnyboy1993)
The problem is that it is true

Basically

Spoiler:
Show

Since our inequlaity is true as

Ohhh right, I see! But shouldn't the first part be

? which goes to
7. (Original post by jonnyboy1993)
The problem is that it is true

Basically

Spoiler:
Show

Since our inequlaity is true as

you misread it there, its x^4 + 3 + x^-4 > 5, you switched the 5 and 3. Your solution unfortunately doesn't work in that case.
8. (Original post by hassi94)
you misread it there, its x^4 + 3 + x^-4 > 5, you switched the 5 and 3. Your solution unfortunately doesn't work in that case.
(x^2-x^-2)>=0

x^4-2-x^-4>=0

x^4+3-x^-4>=5
9. (Original post by Aristotle's' Disciple)
Ohhh right, I see! But shouldn't the first part be

? which goes to
(Original post by hassi94)
you misread it there, its x^4 + 3 + x^-4 > 5, you switched the 5 and 3. Your solution unfortunately doesn't work in that case.
Apologies, it's fine though, I just edited it so it works, thanks for letting me know
10. (Original post by Aristotle's' Disciple)
But in a field, there a sheep! And sheep are funny creatures, baa for no particular reason, sheep are vain, they long to hear their own voice. I dunno. :/ But Warwick sounds brilliant, I'm more excited about the course tbf, closest thing to Cambridge I have. :P
Go to Wales then

I haven't looked at any of the maths courses, except for Oxford and Cambridge to compare
11. (Original post by jonnyboy1993)
Apologies, it's fine though, I just edited it so it works, thanks for letting me know
Silly me it does work - not sure what I was looking at!
12. (Original post by Aristotle's' Disciple)
But in a field, there a sheep! And sheep are funny creatures, baa for no particular reason, sheep are vain, they long to hear their own voice. I dunno. :/ But Warwick sounds brilliant, I'm more excited about the course tbf, closest thing to Cambridge I have. :P
It's not really in a field though...some people say that it's rural but I definitely wouldn't
13. (Original post by jonnyboy1993)
The problem is that it is true

Basically

Spoiler:
Show

Since our inequlaity is true as

How come the -2 disappears in the second line? :/ (sorry about the questions)

EDIT: Sorry im an idiot i see now. :P
14. (Original post by hassi94)
By little birdy do you mean the previous page of this thread?

Hmm am tempted to go - have booked but not sure. It's a 2 and a half hour drive and I don't know if it'll be that useful. In the end I'm almost 100% certain I'll be applying so the open day would almost be just for the sake of it.
Haha, i saw someone quote it

Ah its either a 4 hour train journey or like a 150 minutes drive. Im still up for it though, im fearless
15. (Original post by Jampolo)
Haha, i saw someone quote it

Ah its either a 4 hour train journey or like a 150 minutes drive. Im still up for it though, im fearless
ROAR! ;D
16. (Original post by jameswhughes)
It's not really in a field though...some people say that it's rural but I definitely wouldn't
I'll make my decision on the 24th!
17. (Original post by dnumberwang)
Go to Wales then

I haven't looked at any of the maths courses, except for Oxford and Cambridge to compare
Isn't Warwicks course supposed to edge Oxfords? Or was that just a rumour I heard, I guess it's opinion anyways, but I had the feeling that was the general consensus.
18. (Original post by Aristotle's' Disciple)
Isn't Warwicks course supposed to edge Oxfords? Or was that just a rumour I heard, I guess it's opinion anyways, but I had the feeling that was the general consensus.
It's a rumour, I think it's come up on TSR quite a few times but it's never been the general concensus. Anyway, location > course because they're all similar enough anyway
19. (Original post by dnumberwang)
It's a rumour, I think it's come up on TSR quite a few times but it's never been the general concensus. Anyway, location > course because they're all similar enough anyway
Fair dos. You can never go wrong with the prestige Oxford brings anyway.
20. (Original post by Aristotle's' Disciple)
Isn't Warwicks course supposed to edge Oxfords? Or was that just a rumour I heard, I guess it's opinion anyways, but I had the feeling that was the general consensus.
I don't think you could say it's true nor that it's rumour. People saying it's true are those who got rejected by Oxbridge (or didn't feel they were good enough to apply), had some bias dislike against Oxford, applied to Cambridge or something similar. People saying it's a rumour are Oxford-ers. None of these people have done both courses so who judges which is better?

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