HL maths

conormccarthy92 · 15-05-2011 8:11pm #1

hey there , anyone know what the deal is with the theorems we are meant to cover on the course ? our teacher hasnt done any work on them apart from telling us they exist ?!? i have been doing past papers recently too and i havnt noticed many of them at all coming up ? Info please anyone ?

thanks

LilMissCiara · 15-05-2011 8:25pm

They come up every year. Well almost every year.

Some of them are in a revision book (It's called Essential Study Guide or something, it's by Folens) but I don't think they're in any text books.

partyatmygaff · 15-05-2011 8:31pm

They're in Text and Tests 4 and 5 anyway. They're honestly not too bad. Most of them rely on similar techniques so there really isn't a huge amount to learn.

A proof of some form is on the papers every single year from what i've seen.

Maybe_Memories · 15-05-2011 8:50pm

There's a huge amount of trig proofs. You have to prove all the identities that are in the tables and a few others.
There's 6 derivatives you need you could be asked to prove as well as the product and quotient rules.
There's also the perpendicular distance between a line and a point formula and the angle between two lines formula.

I think that's it...

Oh, and De Moivres theorem and using it to prove a few trig identities

partyatmygaff · 15-05-2011 8:53pm

It really isn't as bad as it sounds though.

All of the Trig proofs can be proved using geometry or even vectors if you're that way inclined.

Calculus is all about Induction and Differentiation from First Principles (And Geometry for Integration)

The rest of the proofs are all quite ok.

Maybe_Memories · 15-05-2011 9:03pm

partyatmygaff wrote: »

All of the Trig proofs can be proved using geometry or even vectors if you're that way inclined.

I like your way of thinking

jumpguy · 15-05-2011 9:21pm

partyatmygaff wrote: »

(And Geometry for Integration)

Woooah, what integration proofs are there?

There's a good few proofs, but just know the graph (if applicable) and method and they're grand, usually you can do the working out yourself, there's no need to rote learn them.

Although it's getting a bit late in the day to not be having theorems done. :-/

Maybe_Memories · 15-05-2011 9:40pm

jumpguy wrote: »

Woooah, what integration proofs are there?

There's a good few proofs, but just know the graph (if applicable) and method and they're grand, usually you can do the working out yourself, there's no need to rote learn them.

Although it's getting a bit late in the day to not be having theorems done. :-/

Don't worry, there aren't any

LilMissCiara · 15-05-2011 9:41pm

Maybe_Memories wrote: »

Don't worry, there aren't any

There is one integration proof I thought?

Maybe_Memories · 15-05-2011 9:50pm

LilMissCiara wrote: »

There is one integration proof I thought?

Integration by parts?
You don't need to be able to prove it

partyatmygaff · 15-05-2011 9:53pm

Deary me... looks like I'm not the only one who needs to up the maths study

. There are two integration proofs. One for the volume of a cone and one for a sphere.

LilMissCiara · 15-05-2011 10:02pm

partyatmygaff wrote: »

Deary me... looks like I'm not the only one who needs to up the maths study . There are two integration proofs. One for the volume of a cone and one for a sphere.

Another proof... Proof I am always right..! :P

Maybe_Memories · 15-05-2011 10:09pm

Oh yeah, forgot about those!

Well I'm in college so it doesn't matter to me!

jumpguy · 15-05-2011 10:13pm

partyatmygaff wrote: »

Deary me... looks like I'm not the only one who needs to up the maths study . There are two integration proofs. One for the volume of a cone and one for a sphere.

Ohh yes! I don't really count them as proofs...for some reason. :cool: Yesss...that'll do.

Digits · 15-05-2011 10:19pm

partyatmygaff wrote: »

Deary me... looks like I'm not the only one who needs to up the maths study . There are two integration proofs. One for the volume of a cone and one for a sphere.

And the area of the circle. Its a diffucult enough one but hasnt been up for ages.

Maybe_Memories · 15-05-2011 10:30pm

jumpguy wrote: »

Ohh yes! I don't really count them as proofs...for some reason. :cool: Yesss...that'll do.

Yeah, they're more "applications"..

Ditzie · 16-05-2011 12:18pm

Digits wrote: »

And the area of the circle. Its a diffucult enough one but hasnt been up for ages.

whaa? why dont I know about this? are there any examples of how it's done anywhere?

MathsManiac · 16-05-2011 9:14pm

You should be able to get the area under a curve by integration. To get the formula for the area of a disc, just get the area under the top half of the circle x^2 + y^2 = r^2, and then double it.

Maybe_Memories · 16-05-2011 9:41pm

Area of a circle isn't on the course, it's volume's you need to compute

MathsManiac · 17-05-2011 12:09am

Maybe_Memories wrote: »

Area of a circle isn't on the course, it's volume's you need to compute

How do you figure that the area of a circle by integration couldn't be asked?

Integration of functions of the form sqrt(a^2 - x^2) is on the syllabus, and so are applications of definite integrals to areas. (Both on page 15 of the syllabus: http://www.education.ie/servlet/blobservlet/lc_maths_sy.pdf?language=EN)

HL maths

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