* Honours Maths Paper 2 " Let's fight back :)

xxpopopxx

epicwinning wrote: »

Step 1: Sign
If there all positive, the U(n) is positive, same with negative.
If it alternates, stick a (-1)^n or (-1)^(n+1) before the gen term.

Step 2: Pattern of x
Find a pattern for the x powers
eg. x, x^2, x^3 add x^n
x, x^3, x^5 add x^(2n-1)

Step 3: Denominator

There should be a similar pattern for the denominator

Step 4: Check with 2 random terms.

thank you so much! ill try that

conlufc

dannyirishman wrote: »

Having a relapse... What is after (N+1)!

Is it (N+1)N!..........(N-1)!

ye your right

PJelly

NSNO wrote: »

(N+1)! = (N+1)N! = (N+1)(N)(N-1)! = (N+1)(N)(N-1)(N-2)!......

I just remember that you keep taking off one. And when you want to stop place a factorial (!) on the last one you do.

PJelly

That awkward moment when you manage to spill your tea on every single maths book you own at the same time.

B_Fanatic

epicwinning wrote: »

You could do either to be honest... I'd say let 1 be the first term.

U(n) = [x^(n-1)]/(n-1)!

Is that denominator right? I mean if the first term is one wouldn't n - 1 make it infinity? Or do I just disregard it because factorial doesn't go as far as zero? E.g. 4! =/= 4x3x2x1x0 :rolleyes:

easkey92

what are all d properties for standard deviation and means ?? please help

jamesr1775

PJelly wrote: »

That awkward moment when you manage to spill your tea on every single maths book you own at the same time.

lol pwned!! ahhh well last few hours of using them is left anyway

Digits

B_Fanatic wrote: »

Is that denominator right? I mean if the first term is one wouldn't n - 1 make it infinity? Or do I just disregard it because factorial doesn't go as far as zero? E.g. 4! =/= 4x3x2x1x0 :rolleyes:

0! = 1

PJelly

jamesr1775 wrote: »

lol pwned!! ahhh well last few hours of using them is left anyway

My papers are literally stuck to the table

PJelly

Digits wrote: »

0! = 1

I love scaring the ordinary maths lads by putting 9/0! on the calculator and showing how it equals nine. It's my party trick.

what.to.do

PJelly wrote: »

That awkward moment when you manage to spill your tea on every single maths book you own at the same time.

Tea with the exam would be nice...

"AW, it was all correct, i'm sure of it, but whoops, wasted my tea, spilled it, can't read it, i'll have my A, please. "

Shanee.

Does anyone reckon they will fúck us over on Paper II aswell?

PseudoFamous

PJelly wrote: »

That awkward moment when you manage to spill your tea on every single maths book you own at the same time.

The even more awkward moment when you realise you'll need the project maths ones next year anyway.

LilMissCiara

partyatmygaff wrote: »

The general term of that is in the log tables :pac:

Oh yeah.. That's like the end of the binomial or something..?!

PJelly

Shanee. wrote: »

Does anyone reckon they will fúck us over on Paper II aswell?

70% certain its going to happen

Catacomb

Shanee. wrote: »

Does anyone reckon they will fúck us over on Paper II aswell?

Yes, I have a really bad feeling about tomorrow, I've been studing my brother's past papers from the 1990's :rolleyes:. My neighbour (a retired maths teacher) said the paper 1 questions were similar in style to those, So I think It might be true for paper 2 also.

Shanee.

PJelly wrote: »

70% certain its going to happen

Ah FFS, surely they wont make much alterations to the Paper. Once its more do-able than Paper I, I don't really mind tbh.

john1741

Normaly I would say no, its not like they could change it that much but after P1 Im just studying and hoping for the best

PJelly

I've every paper done back from 2010 to 2004. I should speed up if I want to pass

PseudoFamous

Shanee. wrote: »

Ah FFS, surely they wont make much alterations to the Paper. Once its more do-able than Paper I, I don't really mind tbh.

Well, if you rely on Stats or Probability, you should recognise that project maths puts a lot of emphasis on those topics. I'd say we're due some more project maths questions, more than a bad paper.

PJelly

PseudoFamous wrote: »

Well, if you rely on Stats or Probability, you should recognise that project maths puts a lot of emphasis on topics. I'd say we're due some more project maths questions, more than a bad paper.

It annoys me that they're trying to mix the topics. We aren't thought like project maths. We are just basically shown "This is how you do this question, this is how you do this type of question". Due to the size of the course there's no time to stop and go through methods in detail and show WHY they work and the theory behind them.
Hence what happened with Paper one :rolleyes:

Shanee.

PseudoFamous wrote: »

Well, if you rely on Stats or Probability, you should recognise that project maths puts a lot of emphasis on topics. I'd say we're due some more project maths questions, more than a bad paper.

Well there my strong questions, they better have a difference equation as a full part (b).

hunii07

PJelly wrote: »

It annoys me that they're trying to mix the topics. We aren't thought like project maths. We are just basically shown "This is how you do this question, this is how you do this type of question". Due to the size of the course there's no time to stop and go through methods in detail and show WHY they work and the theory behind them.
Hence what happened with Paper one :rolleyes:

That's exactly what I was thinking... we're not thought like others doing project maths are.... we're just thought how to do it not why we do it .. It sucks I'm a repeat and was hoping to at least bring up my grade a bit (I need it points wise...) but now I don't know

Balletskank

Based on inspection on Q8(c) 2002 the Maclaurin Series for inversetan's general term would be
(-1)^(n+1).x(2n-1)/
(2n-1)!
Right? Buuuut isnt that the same general term for sinx? So unbearably confused.

PJelly

Take a look at 2004 p2 Q 4 b(ii). If one of those questions is asked, it'll probably be a trickier one like that.

PoisonIvy

I just looked up a few project maths probability q's... If they put that on our paper I will literally have no chance of passing...

dollybirdmary

Michael_E wrote: »

Nope - book I'll list them now for ya:

• Perpendicular Distance - Text and Tests 4, pages 93-95.
• Slope between two lines (tan A =....) - Text and Tests 4, pages 98-99
• Equation of a tangent to a circle - Text and Tests 4, page 356
• cos^2x+sin^2x=1 - This I didn't use the book, I worked it out myself. I'll be glad to do it out and show you if you like
• Cosine Rule - Got a nice proof online, here. I thought that the triangle on the left is easier, I thought. [.pdf format]
• cos (A+B) and related proofs - Text and Tests 4, pages 144-146
• cos 2A = cos^2A-sin^2A - Did this myself. Just did cos(A+A) and worked from there.
• Sin2A - Same story as cos2A, above.
• tan2A=2tanA/1-tan^A - Same, tan (A+A). On page 150 of Text and Tests 4.
• cos2A (and sin2A) into tan - Text and Tests 4, page 152-153
• cos^2A (and sin^2A) into 1/2(1 +/- cos2A) - Text and Tests , page 150.
• Difference equations - came up last year, but it's in Text and Tests 5, page 189.
• Linear transformation proofs (that f maps line to a line, and a pair of || lines to another pair of || lines) - Text and Tests 5, pages 201-202

There is an even easies proof of the cosine rule .
just use a triangle with corners (0,0) (b,0) and (cCosA,cSinA ) and the distance formula . If the determinent of the transformation matrix of a linear transformation is + or minus 1 the transformation is an Isometry!

cocopopsxx

If paper 2 will be anything like paper 1 and contains elements of project maths, then I'm fuked.

hunii07

cocopopsxx wrote: »

If paper 2 will be anything like paper 1 and contains elements of project maths, then I'm fuked.

Me too ....:(

jumpguy

Question for ye:

In linear transformations (co-ordinate geometry of the Line) do we have to know the proof that a line segment is mapped onto a line segment (NOT the proof that a line is mapped onto a line - I know we have to learn that)?

Maybe_Memories

Is anyone here doing the Group Theory option?

polka dot

Maybe_Memories wrote: »

Is anyone here doing the Group Theory option?

I am

Catacomb

Maybe_Memories wrote: »

Is anyone here doing the Group Theory option?

I read group therapy (have been lingering in this thread for too long)

MathsManiac

...which this thread is!

Turtwig

MathsManiac wrote: »

...which this thread is!

?

Maybe_Memories

polka dot wrote: »

I am

Okay, grand!
I'll do the solution for that as well as the further calculus.

Anyone doing probability and ellipses, sorry.

what.to.do

Malty_T wrote: »

?

The thread is kind of like group therapy for all the Leaving Certs coming on to vent. :P

dollybirdmary

First let everybody put paper 1 behind us .It's finished and the truth is apart from 2c(iii),7c(ii) and 8c ( I reckon they will give 10 marks for writing down the Integral) the rest of it was not that bad .
Now about paper 2 .
If we only have to worry about the c(ii) and c(iii) parts then happy days .
With regard to proofs if you intend doing a question that contains a proof learn that proof!
Vectors will be the easiest question and the option will be most important .
do not worry about trig identities with the exception of Sin(a-b) or cos(a-b) .A graph of a periodic function could be given to find the period and range
Good luck

Turtwig

what.to.do wrote: »

The thread is kind of like group therapy for all the Leaving Certs coming on to vent. :P

....
Epic brain fart! I just reread the post above Maniac's I'd initially thought it had said "Group Theory".

partyatmygaff

Do all of the trig identities have to be proven using the unit circle and triangles or can they be proven using other identities? I am of course talking about all others barring Cos^2A + Sin^2A = 1 and the Cos(A+B), Sin(A+B) identities.

River Song

partyatmygaff wrote: »

Do all of the trig identities have to be proven using the unit circle and triangles or can they be proven using other identities? I am of course talking about all others barring Cos^2A + Sin^2A = 1 and the Cos(A+B), Sin(A+B) identities.

Nope, unless it says it specifically then you have free reign.

Shanee.

Anyone reckon the tangent to a circle proof will come up?

partyatmygaff

Michael_E wrote: »

Nope, unless it says it specifically then you have free reign.

Phew... I thought I had to go look over 17 proofs for the trig questions. That would've been nightmarish.

Seeing as you correctly predicted the integration of a circle, what are you intending to study for the rest of today and (perhaps) tomorrow morning?

LilMissCiara

For everyone doing further calculus (Q8) I've always know integration by parts to be LIATE, never heard anything else but I saw on the Leaving Cert predictions page that someone posted saying it's not InLATE and it's actually LIATE, which is true.

Just said I'd post here in case any of ye use InLATE.

Turtwig

LilMissCiara wrote: »

For everyone doing further calculus (Q8) I've always know integration by parts to be LIATE, never heard anything else but I saw on the Leaving Cert predictions page that someone posted saying it's not InLATE and it's actually LIATE, which is true.

Just said I'd post here in case any of ye use InLATE.

Both have exceptions to the rules but are generally ok and afaik should suffice for LC.

PJelly

We've never don'e anything about trig graphs in class. Ever.
Are there any things I have to know about them? Any tricky questions that can come up?

Daniel S

Shanee. wrote: »

Anyone reckon the tangent to a circle proof will come up?

Bump!

Turtwig

PJelly wrote: »

We've never don'e anything about trig graphs in class. Ever.
Are there any things I have to know about them? Any tricky questions that can come up?

Iirc 2006 or 2005 had a "stinger" question where the tan function came up. It's not a bad question, but if you haven't come across something like it before it might throw you.

Edit : 2006 Q5. That year's probabilty questions were probably the easiest in years.

Maybe_Memories

LilMissCiara wrote: »

For everyone doing further calculus (Q8) I've always know integration by parts to be LIATE, never heard anything else but I saw on the Leaving Cert predictions page that someone posted saying it's not InLATE and it's actually LIATE, which is true.

Just said I'd post here in case any of ye use InLATE.

It doesn't matter which you use, because there is no chance in hell of getting a question which has both a logarithm and an inverse function on a LC paper.

If they actually did give one, when you pick your u and dv, you'd have to go and do integration by parts to work out your v, which would result in a VERY VERY VERY messy solution.

PJelly

Malty_T wrote: »

Iirc 2006 or 2005 had a "stinger" question where the tan function came up. It's not a bad question, but if you haven't come across something like it before it might throw you.

Edit : 2006 Q5. That year's probabilty questions were probably the easiest in years.

So just be able to do that question and I should be able to tackle anything they throw at me?