Maths Paper 1

aleatorio

Help needed!

For maths paper one, apart from this stuff is there any stuff that needs to be learned off (ie any other non intuitive maths stuff )

Average value in integration
Constructions of root 2 and root 3
Proof by contradiction/proof root 2 is irrational
Types of functions
Proving de Moivres theorem for positive and negative numbers by induction
Using de Moivres theorem to prove trig identities

Anything I'm missing?

Microphone Head

Don't think your missing anything. Isn't proof by contradiction paper 2?

aleatorio

Microphone Head wrote: »

Don't think your missing anything. Isn't proof by contradiction paper 2?

Could very well be, Im not sure tbh

Badwulf

This higher or ordinary we talking about?

aleatorio

Badwulf wrote: »

This higher or ordinary we talking about?

Higher

Ace_Ace

Microphone Head wrote: »

Don't think your missing anything. Isn't proof by contradiction paper 2?

It could be asked on either

Shane15

I was ill when my class did proof of contradiction and to be honest I haven't looked at it. Does anyone know a good website that explains it?

Nicke011

Here are my notes on:
-Average value in integration
-Constructions of root 2 and root 3
-Proof by contradiction/proof root 2 is irrational
-Types of functions
& more


Click for a full size image, hope it helps someone!

If anyone has
-Proving de Moivres theorem for positive and negative numbers by induction
-Using de Moivres theorem to prove trig identities

Can you please share? Thanks

Kyro

Proof of the amortization of a loan formula.

aleatorio

Kyro wrote: »

Proof of the amortization of a loan formula.

Yeah I actually have that too

accountname

Kyro wrote: »

Proof of the amortization of a loan formula.

Wait what's that?

aleatorio

http://www.projectmaths.ie/documents/teachers/geometric_Seq_ser.pdf
Page 14 has the proof

accountname

aleatorio wrote: »

Page 14 has the proof

Well that must have slipped under the teachers radar! If it comes up, I owe you :P Thanks

robman60

Ah damn, I've never even seen that before, thanks aleatorio.

There are an annoying number of formal proofs hidden in the project maths course. :mad:

wafture

Do we need to know proof of Sum of a series / Sum of infinite geometric series?

XtotheZ

Nicke011 wrote: »

Here are my notes on:
-Average value in integration
-Constructions of root 2 and root 3
-Proof by contradiction/proof root 2 is irrational
-Types of functions
& more


Click for a full size image, hope it helps someone!

If anyone has
-Proving de Moivres theorem for positive and negative numbers by induction
-Using de Moivres theorem to prove trig identities

Can you please share? Thanks

hey, on your Prove root 2 is irrational postit why is it 2b^2 on the first part and then when you sub in a=2k just 2b? Im probably missing something :P
Thanks

EoghanIRL

XtotheZ wrote: »

hey, on your Prove root 2 is irrational postit why is it 2b^2 on the first part and then when you sub in a=2k just 2b? Im probably missing something :P
Thanks

You aren't missing anything . It should be b^2

XtotheZ

EoghanIRL wrote: »

You aren't missing anything . It should be b^2

Sound thanks, helpful picture anyway

Daniel2590

Derive sum to infinity, amortisation formula, 3 formal proof by inductions (1+2+...+n, 1^2+2^2+...+n^2 & 1^3+2^3+...+n^3)

aleatorio

robman60 wrote: »

Ah damn, I've never even seen that before, thanks aleatorio.

There are an annoying number of formal proofs hidden in the project maths course. :mad:

I came across it in an educate.ie sample paper and thought it just expected us to come up with it on the spot :pac:

Confused2015

Does anyone have any notes / Websites they can share please? It's getting close to exam time and I'm stressing

Peregrine

Closing this zombie thread. Use the 2015 LC Maths thread. I moved your other post there.