Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#11251 2013-06-06 20:38:10

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Hi;

I did not work on it. What did you do?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11252 2013-06-06 20:40:32

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

I wrote it out as a product of 3 series and then looked at the different ways of making x^66. There is a nice pattern so it only takes a couple of minutes.

#11253 2013-06-06 20:45:43

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

You used a binomial expansion for each one?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11254 2013-06-06 20:48:44

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

No, only for (1 - x^6)^(-2). The other two products are simple geometric series so you can use the same method you described to get the co-efficients.

#11255 2013-06-06 20:52:30

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Luckily they are only asking for small numbers.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11256 2013-06-06 20:58:02

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

It should still be OK no matter what co-efficient they asked for -- there is a nice pattern.

#11257 2013-06-06 21:00:12

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Yes, I am getting 1,1,1,2,2,2,5,5,5,8,8,8,14,14,14...


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11258 2013-06-06 21:03:38

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Hmm, I didn't notice that... still, I am really surprised this question is in STEP II, it seems almost a giveaway!

#11259 2013-06-06 21:07:31

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Sorry, nothing to do with the tribonacci numbers.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11260 2013-06-06 21:45:21

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

What do you think of the other questions?

#11261 2013-06-06 21:49:53

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

I thought it was generally pretty tough. Not the kind of questions that come quickly.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11262 2013-06-06 22:02:59

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Yes, some questions in STEP do take a while to get started on. Generally they set Q1 to be a question that everyone can at least attempt without much advanced knowledge... the grade boundaries for this paper were:

S - 91/120
1 - 72/120
2 - 60/120
3 - 31/120

where each question is worth 20 marks (if you answer more than six, they pick your highest-scoring).

Generally, a good rule of thumb is that 4 full solutions is always a solid 1 (except for in 2010), although it's probably better to attempt a couple more just in case you made some mistakes in them.

#11263 2013-06-06 22:05:38

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

You will be taking the 2013 soon?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11264 2013-06-06 22:07:52

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Yeah, STEP II is in 13 days. I am more worried about STEP III, that has always been my weakest one...

#11265 2013-06-06 22:12:44

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

When you do well with the STEP II and III what advantage will you get?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11266 2013-06-06 22:22:23

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

None -- just the grade. Normally, if people have a Cambridge offer, then they just have to get 1,1 in STEP II and III (or in F's case she only had to get 1,2 because she came from a (my) state school that doesn't offer any support with STEP).

Technically none of my exams matter anymore because I already have the grades to go to UCL... so there is a lot less pressure here.

#11267 2013-06-06 22:27:18

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Let me take a look at the Step III paper for 2012.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11268 2013-06-06 22:31:45

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

OK but do not tell me anything about it. F said it was very hard and there were 4 questions with sums to infinity, and that the first question had an error in it...

#11269 2013-06-06 22:41:27

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Do not worry, I might not get any of them!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11270 2013-06-06 22:44:02

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

It's that difficult?!

#11271 2013-06-06 22:49:08

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Maybe 1 - 4 can be worked on quickly. There is a product in there and a sum that may or may not be easy, I do not know.

There is a sketching problem that probably can be done.

The probability ones might be 50 - 50.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11272 2013-06-06 22:50:27

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

Thanks. I really want to do this paper and get a 1 -- that would give me lots of confidence after STEP III 2011!

#11273 2013-06-06 22:56:10

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

Hopefully, you will do better than I am thinking I would do there.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11274 2013-06-06 23:09:05

zetafunc.
Guest

Re: Linear Interpolation FP1 Formula

I am surprised that around 12% got an S in that paper last year. For some reason, STEP III always has the highest proportion of S-grades compared to STEP II and I.

#11275 2013-06-06 23:11:36

bobbym
Administrator

Offline

Re: Linear Interpolation FP1 Formula

There are 2 DE's on this one. F can handle them?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Board footer

Powered by FluxBB