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Maths Paper 1

  • 01-06-2014 4:13pm
    #1
    aleatorio
    Registered Users Posts: 1,673 ✭✭✭


    Help needed!

    For maths paper one, apart from this stuff is there any stuff that needs to be learned off (ie any other non intuitive maths stuff )

    Average value in integration
    Constructions of root 2 and root 3
    Proof by contradiction/proof root 2 is irrational
    Types of functions
    Proving de Moivres theorem for positive and negative numbers by induction
    Using de Moivres theorem to prove trig identities

    Anything I'm missing?


Comments

  • #2
    Microphone Head
    Registered Users Posts: 50 ✭✭Microphone Head


    Don't think your missing anything. Isn't proof by contradiction paper 2?


  • #3
    aleatorio
    Registered Users Posts: 1,673 ✭✭✭aleatorio


    Microphone Head wrote: »
    Don't think your missing anything. Isn't proof by contradiction paper 2?

    Could very well be, Im not sure tbh :o


  • #4
    Badwulf
    Registered Users Posts: 411 ✭✭Badwulf


    This higher or ordinary we talking about?


  • #5
    aleatorio
    Registered Users Posts: 1,673 ✭✭✭aleatorio


    Badwulf wrote: »
    This higher or ordinary we talking about?

    Higher


  • #6
    Ace_Ace
    Registered Users Posts: 9 ✭Ace_Ace


    Microphone Head wrote: »
    Don't think your missing anything. Isn't proof by contradiction paper 2?

    It could be asked on either :)


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  • #7
    Shane15
    Registered Users Posts: 221 ✭✭Shane15


    I was ill when my class did proof of contradiction and to be honest I haven't looked at it. Does anyone know a good website that explains it?


  • #8
    Nicke011
    Registered Users Posts: 137 ✭✭Nicke011


    Here are my notes on:
    -Average value in integration
    -Constructions of root 2 and root 3
    -Proof by contradiction/proof root 2 is irrational
    -Types of functions
    & more

    icobaR9.png
    Click for a full size image, hope it helps someone!

    If anyone has
    -Proving de Moivres theorem for positive and negative numbers by induction
    -Using de Moivres theorem to prove trig identities

    Can you please share? :) Thanks


  • #9
    Kyro
    Registered Users Posts: 112 ✭✭Kyro


    Proof of the amortization of a loan formula.


  • #10
    aleatorio
    Registered Users Posts: 1,673 ✭✭✭aleatorio


    Kyro wrote: »
    Proof of the amortization of a loan formula.

    Yeah I actually have that too :o


  • #11
    accountname
    Registered Users Posts: 95 ✭✭accountname


    Kyro wrote: »
    Proof of the amortization of a loan formula.

    Wait what's that? :o


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  • #12
    aleatorio
    Registered Users Posts: 1,673 ✭✭✭aleatorio


    http://www.projectmaths.ie/documents/teachers/geometric_Seq_ser.pdf
    Page 14 has the proof :)


  • #13
    accountname
    Registered Users Posts: 95 ✭✭accountname


    aleatorio wrote: »
    Page 14 has the proof :)

    Well that must have slipped under the teachers radar! If it comes up, I owe you :P Thanks :)


  • #14
    robman60
    Registered Users Posts: 2,222 ✭✭✭robman60


    Ah damn, I've never even seen that before, thanks aleatorio.

    There are an annoying number of formal proofs hidden in the project maths course. :mad:


  • #15
    wafture
    Registered Users Posts: 17 ✭wafture


    Do we need to know proof of Sum of a series / Sum of infinite geometric series?


  • #16
    XtotheZ
    Registered Users Posts: 391 ✭✭XtotheZ


    Nicke011 wrote: »
    Here are my notes on:
    -Average value in integration
    -Constructions of root 2 and root 3
    -Proof by contradiction/proof root 2 is irrational
    -Types of functions
    & more

    icobaR9.png
    Click for a full size image, hope it helps someone!

    If anyone has
    -Proving de Moivres theorem for positive and negative numbers by induction
    -Using de Moivres theorem to prove trig identities

    Can you please share? :) Thanks

    hey, on your Prove root 2 is irrational postit why is it 2b^2 on the first part and then when you sub in a=2k just 2b? Im probably missing something :P
    Thanks


  • #17
    EoghanIRL
    Registered Users Posts: 4,080 ✭✭✭EoghanIRL


    XtotheZ wrote: »
    hey, on your Prove root 2 is irrational postit why is it 2b^2 on the first part and then when you sub in a=2k just 2b? Im probably missing something :P
    Thanks


    You aren't missing anything . It should be b^2


  • #18
    XtotheZ
    Registered Users Posts: 391 ✭✭XtotheZ


    EoghanIRL wrote: »
    You aren't missing anything . It should be b^2

    Sound thanks, helpful picture anyway


  • #19
    Daniel2590
    Registered Users Posts: 1,645 ✭✭✭Daniel2590


    Derive sum to infinity, amortisation formula, 3 formal proof by inductions (1+2+...+n, 1^2+2^2+...+n^2 & 1^3+2^3+...+n^3)


  • #20
    aleatorio
    Registered Users Posts: 1,673 ✭✭✭aleatorio


    robman60 wrote: »
    Ah damn, I've never even seen that before, thanks aleatorio.

    There are an annoying number of formal proofs hidden in the project maths course. :mad:

    I came across it in an educate.ie sample paper and thought it just expected us to come up with it on the spot :pac:


  • #21
    Confused2015
    Registered Users Posts: 8 ✭Confused2015


    Does anyone have any notes / Websites they can share please? It's getting close to exam time and I'm stressing


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  • #22
    Peregrine
    Moderators, Education Moderators Posts: 26,399 Mod ✭✭✭✭Peregrine


    Closing this zombie thread. Use the 2015 LC Maths thread. I moved your other post there.


This discussion has been closed.
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