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Honours Maths Proofs

  • 04-06-2010 12:07PM
    #1
    Paddi Jones
    Closed Accounts Posts: 19 ✭


    This has probably been asked before, but I'm kinda rushed. What are the most likely proofs for honours maths Paper 1 & 2. Please, please, list what whatever is most likely as I have still to learn any.
    Tagged:


Comments

  • #2
    Bigrob
    Closed Accounts Posts: 48 ✭Bigrob


    I did a day course in the institute and we were told that the factor theorem is expected along with the perpendicular distance theorem. For proofs thats all I know because theres not set pattern with them eac year.
    For trig identities look over Cos(A-B) beacause thats the only one of the 13 that hasnt come up yet.


  • #3
    Reillyman
    Closed Accounts Posts: 834 ✭✭✭Reillyman


    This is just off-hand, not a definitive list.


    Paper 1
    • Factor Theorem
    • Quoitent/Product/Sum/Differential rule
    • [LATEX] x^2 , x^3, e^x, x^-1, x^-2, lnx, ln(x+1)[/LATEX] from 1st principles
    • Volume of a cone/sphere/cylinder from integrals
    • Volume of a curve around an axis from integrals
    • De Moivres Theorem
    • Proof by inductions
    Paper 2
    • Tangent to a circle [LATEX] xx1+yy1=r^2[/LATEX]
    • Distance from point to a line
    • [LATEX] x^2+y^2=r^2[/LATEX]
    • Line is mapped to a line under [Latex] f(x)=(x',y')[/Latex]
    • Parrallel lines are mapped to parallel lines
    • All the trig identities
    • Cos rule, Sin Rule
    • Angle between 2 lines
    • All the MacLaurin series & General Terms
    • Integration by parts
    Theres a few more though, but that should cover ya


  • #4
    Scoobydooo
    Registered Users, Registered Users 2 Posts: 342 ✭✭Scoobydooo


    When your doing the first principles derivations is it ok to do them like this ?

    See 6b(i) http://studentxpress.ie/papers/diffsoln07.pdf


  • #5
    Reillyman
    Closed Accounts Posts: 834 ✭✭✭Reillyman


    Scoobydooo wrote: »
    When your doing the first principles derivations is it ok to do them like this ?

    See 6b(i) http://studentxpress.ie/papers/diffsoln07.pdf

    Yeah I reckon that's perfectly acceptable, it just makes no sense whatsoever to me. The [latex]f(x+h) - f(x)[/latex] method is easier for me as its the exact same process, more or less, for any derivative, but whatever works for you do it.


  • #6
    eoins23456
    Registered Users, Registered Users 2 Posts: 603 ✭✭✭eoins23456


    yeah its perfectly acceptable


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  • #7
    Healium
    Registered Users, Registered Users 2 Posts: 1,586 ✭✭✭Healium


    Feck. Forgot ALL about these


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