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HL Maths formulas

  • 05-06-2011 10:51PM
    #1
    nommm
    Registered Users, Registered Users 2 Posts: 700 ✭✭✭


    Anyone know a website where I can find a list of the formulas that we need to know that aren't in the log tables?


Comments

  • #2
    Patriciamc93
    Registered Users, Registered Users 2 Posts: 372 ✭✭Patriciamc93


    Nope but off the top of my head:
    The alpha beta formulas.
    Forming a quadratic given two roots formula.
    Nature of the roots.
    The fact that the Sn formula changes for a geometric sequence if r is greater than 1 or less than -1.
    Natural number series n and n squared.
    Diagonal matrices.
    Induction methods.
    How to get assuymtotes
    Speed and acceleration.
    Area between curve and axis in integration.
    Volume around the y-axis

    Touching circles formulas
    Dividing a line in a given ratio.
    perpendicular vectors
    That (ai+bj).(ci+dj)=ac+bd
    Concurrent lines
    External division of a line (internal given)
    No transformation formulas if there are any
    The difference equation thing in probability

    Sorry if I missed any and hope it helps.


  • #3
    nommm
    Registered Users, Registered Users 2 Posts: 700 ✭✭✭nommm


    Ye it does. :D I'm just trying to make sure I have them all learnt. I don't want to realise that I forgot one in the exam next Friday.


  • #4
    partyatmygaff
    Registered Users, Registered Users 2 Posts: 10,992 ✭✭✭✭partyatmygaff


    Patriciamc93 wrote: »
    The fact that the Sn formula changes for a geometric sequence if r is greater than 1 or less than -1.
    Are you sure about that? It says nothing in the log tables about the Sn formula for a geometric series having a range.


  • #5
    Patriciamc93
    Registered Users, Registered Users 2 Posts: 372 ✭✭Patriciamc93


    partyatmygaff wrote: »
    Are you sure about that? It says nothing in the log tables about the Sn formula for a geometric series having a range.

    Ya the one in the tables is only for |r|<1
    you must change it to Sn= a(r^n-1)/r-1 for |r|>1


  • #6
    conormccarthy92
    Registered Users, Registered Users 2 Posts: 188 ✭✭conormccarthy92


    sorry if its slightly off topic but i was just wondering what theorems you need for the paper 1 , dont wanna be caught out on the day . i have learnt these already :

    factor theorem
    de moivres theorem
    differential rule
    product rule
    chain rule
    quotient rule
    volumes of a cone/sphere (integration)

    am i missing any ??


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  • #7
    Patriciamc93
    Registered Users, Registered Users 2 Posts: 372 ✭✭Patriciamc93


    Nope .... Part from the first principles ones.... But I kinda just do them as questions anyway.


  • #8
    Gumbi
    Registered Users, Registered Users 2 Posts: 4,682 ✭✭✭Gumbi


    conormccarthy92 wrote: »
    sorry if its slightly off topic but i was just wondering what theorems you need for the paper 1 , dont wanna be caught out on the day . i have learnt these already :

    factor theorem
    de moivres theorem
    differential rule
    product rule
    chain rule
    quotient rule
    volumes of a cone/sphere (integration)

    am i missing any ??

    If I'm not doing q3, does that mean I can completely avoid DeMoivre's Theorem and complex numbers?


  • #9
    Patriciamc93
    Registered Users, Registered Users 2 Posts: 372 ✭✭Patriciamc93


    Gumbi wrote: »
    If I'm not doing q3, does that mean I can completely avoid DeMoivre's Theorem and complex numbers?

    Ya .... As far as I know. But the proof may be asked in q5


  • #10
    Gumbi
    Registered Users, Registered Users 2 Posts: 4,682 ✭✭✭Gumbi


    Patriciamc93 wrote: »
    Ya .... As far as I know. But the proof may be asked in q5

    Thanks. I suppose I'll have to study it. Will the proofs total about 50 out of the 600 marks?


  • #11
    Patriciamc93
    Registered Users, Registered Users 2 Posts: 372 ✭✭Patriciamc93


    No I think there was only one on the paper last year. Paper 2 I think!

    But this year we could either get none or get a good few!


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  • #12
    Gumbi
    Registered Users, Registered Users 2 Posts: 4,682 ✭✭✭Gumbi


    Thanks. :)


  • #13
    MathsManiac
    Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    Patriciamc93 wrote: »
    Ya the one in the tables is only for |r|<1
    you must change it to Sn= a(r^n-1)/r-1 for |r|>1

    You don't have to change it. The one in the tables works for any value of r other than 1, as does your version. The only difference between them is that the sign is opposite, both above and below the line, so the expressions are identical.


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