Higher Level Maths Proofs

damienricefan

Hi, just wondering does anybody have a complete list of maths proofs that you need to know for higher level?

separate lists for paper 1 and paper 2 would be very helpful!

Thanks

As far as I know...

The trigonometric identites (12 or so I believe),
The factor theorem,
The 3 differentiation rules from first principles,
De Moivre's Theorem proof?

I can't think of any more off the top of my head. Have a rummage through this: http://www.knocklyoncs.ie/maths/lc_maths_sy.pdf, and you're bound to find them all.

bythewoods

For paper one anyway, there's:

The Factor Theorem
De Moivre's Theorem
De Moivre's Theorem for negative integers.
The 3 differentiation ones- The addition, product & quotient rules.
The Differentiation-y- Induction-y one.
]The 3 types of Induction.

I think that's it. I hope so anyway, as they're the only proofs I've done for the paper

xOxSinéadxOx

I haven't learnt any proofs yet! my grind teacher is aaaaaaaaaaaaalways going on about how important they are, which they are. I hope no proofs come up

Nanaki

If I'm remembering correctly from last year, there's always a proof somewhere.
I could never learn them myself, but when it comes to maths I don't learn things off, I practice. Doesn't work for me with proofs.
With regard to maths in general, you usually can't learn the rules off by heart and do well. You need to understand. However, if you've a good general comprehension of maths, and you can learn 3/4 an A4 page off by heart, the proofs should come to you quite easily. They're always methodical and logical, as is mathematics.
At the very least learn the diagram and try a few lines of a proof. You'll get attempt marks.
And from viewing my leaving cert script, those attempts really add up

likely_lass

you need the product and quotient rule from differentiation too

KarlNedCarew

Fairly sure you need to know how to prove the distance from a point to a line formula too

Delta Kilo

All the proofs you need for paper one and two are at the back of the respective Less Stress More Success books. That is about the only use for the less stress books though!

sheep-go-baa

Algebra: -Factor Theorem for polynomials with degree 2 (squared) or 3
(cubed)
- De Moivre's Theorem, by induction.

Geometry: -Perpendicular distance
-Angle beyween two lines (m1+m2 etc)
-Equations of tangent at (x1, y1) to x(sqd)+y(sqd)= r(sqd)
-Transformations

Trig: -cos(sqd) + sin(sqd) = 1
- cosine rule
- cos(A+B)
- cos2A
- Sin(A+B)
- sin2A
- Tan(A+B)
- Tan2A
- Cos2A (in terms of tan)
- Sin2A (ditto)
- Cos(sqd)A
- Sin(sqd)A

Functions
and calculus: - From first priciples: x(sqd), x(cubed), sinx, cosx, square root of x, one over x

Fringe

Everyone's forgotten about the difference equation one which no one knows. It could also come up this year since it hasn't in a while.

alan4cult

I did the LC last year and all I can remember is that since 1994 the proof of the quotient rule has never come up!

Varyn

If I remember correctly (and it has been almost a year since i even thought about this so I could be mixed up!) my maths teacher said that every year proofs count for 10% of Maths (Paper 1 and 2) altogether. Think I also remember seeing if she was right - during my attempts to avoid actual study! And she was!
Proofs are really important! I spent ages at them and once you get them you're sorted cos they can't throw in any twists!