Math Theorems

FaoiSin

Does anyone have an exact list of the theorems that need to be learned off for Math's HL?

So far I have:

Paper 1

• Factor Theorem

• First Principles
• Induction - De Moivre
• Induction - Differentiation
• Proof of Addition/Product rule/Quotient rule (By First Principles)

• Area of Disc
• Volume Of Cone
• Volume Of Sphere
• Volume of a Cylinder

Paper 2

• Trigonometric Identities
• Sin and Cos Rule

ChemHickey

Don't forget

Paper 1

All you have listed
Volume of a cylinder
I think they can ask you to find the volume of an irregular solid too but I'm not certain.
Induction - De moivre & Differentiation proof
Proof of addition/product rule/quotient rule (by first principles)

Paper 2

Cos^2(A) + Sin^2(A)= 1
Cos(a-b)
Cos(a+b)
Sin(a-b)
Sin(a+b)
Tan(a+b)
sine rule
cosine rule


I think that's it. I may be wrong as I did them out of my head so correct me if I am! :L

JonnyMcNamee

ChemHickey wrote: »

Don't forget

Paper 1

All you have listed
Volume of a cylinder
I think they can ask you to find the volume of an irregular solid too but I'm not certain.
Induction - De moivre & Differentiation proof
Proof of addition/product rule/quotient rule (by first principles)

Paper 2

Cos^2(A) + Sin^2(A)= 1
Cos(a-b)
Cos(a+b)
Sin(a-b)
Sin(a+b)
Tan(a+b)
sine rule
cosine rule


I think that's it. I may be wrong as I did them out of my head so correct me if I am! :L

I hate the proof of the rules by diff.. Can't really get the hang of first principles tbh :rolleyes: Haven't even started to learn the proofs for cone, cylinder etc. Maths hates me :pac:

ChemHickey

JonnyMcNamee wrote: »

ChemHickey wrote: »

Don't forget

Paper 1

All you have listed
Volume of a cylinder
I think they can ask you to find the volume of an irregular solid too but I'm not certain.
Induction - De moivre & Differentiation proof
Proof of addition/product rule/quotient rule (by first principles)

Paper 2

Cos^2(A) + Sin^2(A)= 1
Cos(a-b)
Cos(a+b)
Sin(a-b)
Sin(a+b)
Tan(a+b)
sine rule
cosine rule


I think that's it. I may be wrong as I did them out of my head so correct me if I am! :L

I hate the proof of the rules by diff.. Can't really get the hang of first principles tbh :rolleyes: Haven't even started to learn the proofs for cone, cylinder etc. Maths hates me :pac:

Oh i love it! i love all the proofs and paper 1 but the paper 2... oh... that dreaded paper 2!! i wish we had the old course! if you need any help in 1st principles, just pm me!

FaoiSin

Updated the list as a resource for others Also if we've missed any let me know

Also are there any more on Paper 2? Like for Geometry? We haven't even started it in school "/

rkeano5

Hey just wondering if there is 3 geometry proofs or 4?

I had thought all along that there was 3 but at a revision seminar last week the guy repeatedly mentioned the fact that we need to know 4 theorems that could come up in Question 6a on Paper 2.

Anybody?

ChemHickey

There are 3 I think, but he may have been talking of the "Proof by contradiction" ... That might be the 4th as it comes up in 6A?

FaoiSin

So can anyone confirm these are the only proofs we need to know?

and these:

Theorem 11, 12 and 13
Proof by Contradiction

ehshup

a definitive list can be found at tinyurl.com/proudlock

kitty9

does anyone have the proof of ejaculation?? :pac::pac:

FaoiSin

Thanks Makes you wonder why the syllabus lists so many if there only gonna examine 3 of them

DepoProvera

kitty9 wrote: »

does anyone have the proof of ejaculation?? :pac::pac:

Hilarious, mature and relevant. You just hit the holy trinity of posts. 5/5 would read again

kitty9

DepoProvera wrote: »

Hilarious, mature and relevant. You just hit the holy trinity of posts. 5/5 would read again

calm down, did u go to algebra revision today?

DepoProvera

Yeah was pretty good... He's a good man

rubberdungeon

I came across a free android app for viewing junior and leaving cert maths theorems and found it handy enough.

https://play.google.com/store/apps/details?id=com.apptheorems&feature=search_result#?t=W251bGwsMSwxLDEsImNvbS5hcHB0aGVvcmVtcyJd