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# ****Leaving Certificate: Higher Level Maths Discussion****

• Registered Users Posts: 7 ✭✭✭

Any advice on what to practice tonight before tomorrow, getting worried ima fail and don't fancy repeating! Any help at all please

• Registered Users Posts: 42 ✭✭✭

Who's thinking induction will show its face?

Definitely, it was on the sample and I don't think it was on last year. I can't get my head around it though!! Hopefully we can get most marks for doing step 1, 2 and 4.

• Registered Users Posts: 31 ✭✭✭

The basics of everything, like financial maths, logs, diff and int.. Maybe induction and root 2 formula

• Registered Users Posts: 391 ✭✭

can compound angles come up tomorrow?

• Registered Users Posts: 42 ✭✭✭

Btw, what paper 2 content can possibly come up tomorrow?

• Registered Users Posts: 22 ✭✭✭

Do you think standard deviation and z-scores are gonna come up?

• Registered Users Posts: 391 ✭✭

Do you think standard deviation and z-scores are gonna come up?

mabye not tomorrow but it deffo will be up

• Registered Users Posts: 113 ✭✭

So hi, kind of sorry I had a look here today but too late now.
Anyway fancy explaining how to get a) The Root of a Function and b) The Average Value of a Function? You'd be sound.

• Registered Users Posts: 391 ✭✭

So hi, kind of sorry I had a look here today but too late now.
Anyway fancy explaining how to get a) The Root of a Function and b) The Average Value of a Function? You'd be sound.

what do you mean by root of a function?

avg value in integration is 1^(b-a) and then the integration part with B the larger of the two values. ie On the integral symbol it is the higher of the two numbers

• Registered Users Posts: 24 ✭✭✭

XtotheZ wrote: »
what do you mean by root of a function?

avg value in integration is 1^(b-a) and then the integration part with B the larger of the two values. ie On the integral symbol it is the higher of the two numbers

Please explain what you mean by this !

• Registered Users Posts: 391 ✭✭

Please explain what you mean by this !

• Registered Users Posts: 256 ✭✭

So hi, kind of sorry I had a look here today but too late now.
Anyway fancy explaining how to get a) The Root of a Function and b) The Average Value of a Function? You'd be sound.

YouTube is the best for this kind of stuff.

• Registered Users Posts: 391 ✭✭

I literally seen it for the first time two days ago, very easy but if you didnt know it and it came up it could cost ya a mark or two. Sorry, my explanation wasnt exactly great

• Registered Users Posts: 111 ✭✭

Jesus I've done nothing all year I was lucky in the mocks that I even passed got a D3 in paper 1 and a D1 in paper 2 I'm only sitting the honours for the extra 25 I have no idea what to study :P

• Registered Users Posts: 24 ✭✭✭

So all you need to know really besides common sense is constructing surd 2 and 3, proving surd2 is irrational and the average value of a function, oui?

• Registered Users Posts: 29 ✭✭✭

Flickka wrote: »
Does anyone know if that formula for average value of a function is in the log tables? Also in the 2011 papers, in the question on integration, is that type of question still on the course where you have to make some type of substitution and change the limits etc? I haven't been able to find any reference to it in any of the maths books...
Thanks guys!

Nope, integration by substitution is removed. I know because now in the applied maths course they will give you the answer to an integration by substitution in order to complete the question, whereas in previous years (pre 2012 I think) you had to work that out yourself.

• Registered Users Posts: 221 ✭✭

If you're asked to use De Moivre's Theorem to solve the equation (insert real number + imaginary number here), does n automatically = 10?

• Registered Users Posts: 29 ✭✭✭

Does anyone know what the story is with Binomial theorem, can it possibly come up, or is it only on for the 2015 syllabus onwards...

• Registered Users Posts: 113 ✭✭

Im about 95% sure binomial theorem is NOT on the course this year.

• Registered Users Posts: 1,645 ✭✭✭

If binomial expansion and binomial theorem are the same thing, you need to know how to do it...

• Registered Users Posts: 160 ✭✭

Im about 95% sure binomial theorem is NOT on the course this year.

I'm gonna look over it incase, there's not too much to it!

And amortisation formula for whoever was asking, you need to be able to prove it

Oh and we have to be able to prove sum of n to infinity and to n

• Registered Users Posts: 3,194 ✭✭✭

I'll actually be annoyed if they don't ask for a proof of some sort tomorrow. I made an effort to learn those proofs, it'd be nice to know I'd didn't waste my time!

• Registered Users Posts: 3,194 ✭✭✭

Also there are two proofs ye are leaving out:

Tn=Sn-Sn-1
Sn= a(1-r^t) / 1-r

• Registered Users Posts: 274 ✭✭

so wait, pascals triangle is not on it?

• Registered Users Posts: 1,645 ✭✭✭

so wait, pascals triangle is not on it?

You probably won't be asked it directly but it is on our course so you'll need to know how to do it for binomial expansion (especially if we're asked a identity using De Moivre's theorem)

• Registered Users Posts: 2,204

Is there anywhere I can get a definitive list of things I need to learn off for tomorrow such as proofs?

I have some but not sure of everything we need.

• Registered Users Posts: 274 ✭✭

Daniel2590 wrote: »
You probably won't be asked it directly but it is on our course so you'll need to know how to do it for binomial expansion (especially if we're asked a identity using De Moivre's theorem)

and is the binomial theorem people have mentioned earlier. is it not on paper 2?

• Registered Users Posts: 1,645 ✭✭✭

Aspiring wrote: »
Is there anywhere I can get a definitive list of things I need to learn off for tomorrow such as proofs?

I have some but not sure of everything we need.

Prove √2 is irrational
Construct √2 and √3
Proof by induction:
1+2+...+n
1²+2²+...+n²
1³+2³+...+n³
a+ar+ar²+...+ar^(n-1) = a(1-r^n) / 1-r
De Moivre's theorem for n E N, n=0 & n E Z.
Derive sum to infinity
Amortisation formula

• Registered Users Posts: 1,645 ✭✭✭

and is the binomial theorem people have mentioned earlier. is it not on paper 2?

You might be thinking of Bernoulli Trials in statistics and probability?

• Registered Users Posts: 2,204

Daniel2590 wrote: »
Prove √2 is irrational
Construct √2 and √3
Proof by induction:
1+2+...+n
1²+2²+...+n²
1³+2³+...+n³
a+ar+ar²+...+ar^(n-1) a(1-r^n) / 1-r
De Moivre's theorem for n E N, n=0 & n E Z.
Derive sum to infinity
Amortisation formula

Hardly everything is it? Sounds a bit easy :pac: