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Advanced Higher Maths 2011-2012 : Discussion and Help

Reply 60

Ecosse_14

19

Original post by Hype en Ecosse

Does the AH Maths course have anything to do with complex/imaginary numbers in them?

It does

Reply 61

Hype en Ecosse

20

Original post by Ecosse_14

It does

Joy oh joy :tongue:

Reply 62

Ecosse_14

19

Original post by Hype en Ecosse

Joy oh joy :tongue:

That's one part of the course I could actually do IIRC :tongue:

Reply 63

laughylolly

14

Finally back to school and have had AH Maths. We are doing half the course with one teacher (Algebra) half with another (Calculus). So far we've just done differentiation from first principles and like the more complex chain rule (extended chain rule). Then today in Algebra we were doing partial fractions. All seems pretty straight forward at the moment. I think after seeing and tackling a STEP paper a lot will seem easier.

In AH Stats we are doing probability and sampling at the moment. Getting used to the like set notation in stats. It's okay but a bit harder than I thought. I just want to be able to use all the stuff already and apply it to real data.

Reply 64

Hype en Ecosse

20

Original post by laughylolly

Finally back to school and have had AH Maths. We are doing half the course with one teacher (Algebra) half with another (Calculus). So far we've just done differentiation from first principles and like the more complex chain rule (extended chain rule). Then today in Algebra we were doing partial fractions. All seems pretty straight forward at the moment. I think after seeing and tackling a STEP paper a lot will seem easier.

In AH Stats we are doing probability and sampling at the moment. Getting used to the like set notation in stats. It's okay but a bit harder than I thought. I just want to be able to use all the stuff already and apply it to real data.

Extended chain rule? Elaborate please?

Reply 65

ukdragon37

14

Original post by laughylolly

Finally back to school and have had AH Maths. We are doing half the course with one teacher (Algebra) half with another (Calculus). So far we've just done differentiation from first principles and like the more complex chain rule (extended chain rule). Then today in Algebra we were doing partial fractions. All seems pretty straight forward at the moment. I think after seeing and tackling a STEP paper a lot will seem easier.

Just don't let STEP scare you :p:

Remember with enough practice they are possible!

Original post by Hype en Ecosse

Extended chain rule? Elaborate please?

She probably means multiple applications of the chain rule or chain rule combined with other rules, such as

e^{\sin ^2 x}

or

\sin \left( x^2 \right) \cos x

Reply 66

laughylolly

14

Original post by ukdragon37

Just don't let STEP scare you :p:

Remember with enough practice they are possible!

Yeah. I just don't think I know half the stuff I need to know to tackle them properly yet. I'm pretty sure that in 4/5 months time I'll be a lot more confident.

Original post by Hype en Ecosse

Extended chain rule? Elaborate please?

Well like in higher you learn dy/dx = dy/du * du/dx

Extended chain rule is like dy/dx = dy/du * du/dt * dt/dx . You use it for when there more parts to differentiate basically.

I don't think it's proper name is that but that's what our maths teacher described it as.

(edited 12 years ago)

Reply 67

username458263

9

Oh my goodness, this thread is awesome :biggrin:

I am a happy AH mathematician! We've done binomial theorem, most or all of partial fractions and some differential calculus. It's fun. :L

Reply 68

Evan7788

OP

7

Just about finished unit 1 now, little more on properties of functions and integral calculus though.

So far so good, although the book we're using has a lot of mistakes...

Reply 69

FreeRangeEggs

Original post by Evan7788

Just about finished unit 1 now, little more on properties of functions and integral calculus though.

So far so good, although the book we're using has a lot of mistakes...

what text book are you using? we are using "Maths In Action, Advanced Higher, Mathematics 1" and there has been not one mistake so far! :smile:

Reply 70

smartb**d

If you`re using the nelson thornes books - lots of mistakes, so i recommend using sites like wolfram alpha to check them - better still you can download mathematica 8 for a free 15 day trial ( the new free form entry might just give you what you`re looking for in any Q?, and so the syntax is pretty easy to get used to - loads of examples to help you!).

Reply 71

laughylolly

14

Original post by FreeRangeEggs

what text book are you using? we are using "Maths In Action, Advanced Higher, Mathematics 1" and there has been not one mistake so far! :smile:

Same here! Although for the differential calculus bit the answered are so simplified. I've gotten used to factorizing/simplifying the answers and stuff now though. At first I seemed to be getting everything wrong, then I realized that I just hadn't finished it all off.

So far so good though! I'm also using Maths in Action books for AH Stats too. They are also very good.

Reply 72

Evan7788

OP

7

We're using Maths in Action also :s-smilie:

What edition is yours?

Reply 73

laughylolly

14

Original post by Evan7788

We're using Maths in Action also :s-smilie:

What edition is yours?

Um... Well two of my books are second hand and one of them is new. For Mathematics 1 + 2 it doesn't say the edition but just says that that particular edition was published first in 2000. For mathematics 3 it doesn't say the edition either just says that it was first published in 2001.

I guess they are all 1st edition?

Just saw that you've pretty much finished unit 1. We've only done partial fractions, differential calculus and personally I've gone through the binomial expansion bit. Maybe there are mistakes to come!

(edited 12 years ago)

OP

There is :P

yeah, there are quite a few mistakes, but mostly its just that the answers are simplified so much, that nobody would ever think to do it!

Reply 76

LonelySoul193

1

Hi all, I'm also sitting AH Maths this year so thought I'd make myself known. No doubt I'll require help at various points throughout the course.
My class also uses the Maths in Action Unit 1 textbook and yes, it has many 'mistakes' which my teacher points out often (I recognise they may just be over-simplified as suggested, still though, the sillies...).

So far we've covered partial fractions, the binomial theorem/pascal's triangle, differentiation (quotient rule/product rule etc) and we're doing substituted integrals (or similar name) at the moment.
And hence, I find I sit for most of the class and think "..... what have I gotten myself in for" and lose faith in myself ha.

Reply 77

laughylolly

14

Anybody help me simplify this?

-2sin2xcos4x - 4sin4xcos2x

Somehow it should simplify to:

-2sin2x(6cos^{2}2x-1)

Just not sure how :s-smilie:

Reply 78

ukdragon37

14

Original post by laughylolly

Anybody help me simplify this?

-2sin2xcos4x - 4sin4xcos2x

Somehow it should simplify to:

-2sin2x(6cos^{2}2x-1)

Just not sure how :s-smilie:

Remember that cos4x = 2cos^2(2x) - 1 and sin4x = 2sin2xcos2x.

-2sin2xcos4x - 4sin4xcos2x
= -2sin2x(2cos^2(2x) - 1) - 8sin2x cos^2(2x)
= -2sin2x[2cos^2(2x) - 1 + 4cos^2(2x)]
= -2sin2x[6cos^2(2x) - 1]

Reply 79

laughylolly

14

Original post by ukdragon37

Remember that cos4x = 2cos^2(2x) - 1 and sin4x = 2sin2xcos2x.

-2sin2xcos4x - 4sin4xcos2x
= -2sin2x(2cos^2(2x) - 1) - 8sin2x cos^2(2x)
= -2sin2x[2cos^2(2x) - 1 + 4cos^2(2x)]
= -2sin2x[6cos^2(2x) - 1]

Thank you! I knew that sin4x=2sin2xcos2x but I thought that cos4x=cos^2(2x) not 2cos^2(2x) - 1 . That's where I messed up.

We haven't explicitly been taught what cos4x and things are so... but thank you! I get it now.

Advanced Higher Maths 2011-2012 : Discussion and Help

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