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NSX

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Posts posted by NSX

  1. ah...drats

     

    I tried C&P the theta sign into the quick-reply box. I guess it doesn't work. :P Thanks to Sayo for the non-winking version of De Moivre's Th'm. :)

     

    I found the Binomial Theorem neat too:

     

    The theorem that' date=' for positive integers n,

    [img']http://mathworld.wolfram.com/bimg2594.gif[/img]

    the so-called binomial series, where are binomial coefficients.

     

    It was very neat when we studied it with Pascal's triangle, combinatorics, and the like.

  2. I like De Moivre's Theorem. Other than finding complex roots, I like it as a easy(?) way to remember expansions of the sin & cos funx.

     

    De Moivre's Theorem

     

    If z = r cos(θ) + i r sin(θ), then zn = r cos(nθ) + i r sin(nθ) for all n ∈ N

     

    Source: Anton, Rogers. Elementary Linear Algebra Applications Version

  3. Any ideas from you so far?

     

    Always important in these types of problems are the definition of a slope and that two lines are perpendicular if one's slope is the negative reciprocal of the other.

  4. hehe

    icq too?

     

    everyone seems to be on msn now

     

    as for adam, maybe you guys can talk to him on IRC or sth...

    faf seems to see him onlnie

  5. Me too.

     

    I'll start it up later today, after Canada Day festivities :D

     

    [edit]

     

    Actually, I'm just wondering as to where to start right now.

     

    Should I start with elementary functions [i.e. y = x], algebra skills [i.e. factor 2x2 + 3x + 1], trig, ... ?

     

    I had a list prepared:

    1. Algebra Skills and Quadratic Functions
    2. Introduction to Functions
    3. Trigonometric Ratios and Functions
    4. Graphing and Transformations of Trigonometric Functions
    5. Loci and Conics
    6. Polynomial Function Models
    7. Rates of Change in Polynomial Functions Models
    8. Vectors
    9. Equations of lines and Planes [Parametric form]
    10. Tricks

     

    But it occurred to me that many SFNers already now this material. Would there be an audience for such material?

  6. Perhaps we should make an "Pre-Calculus" section too?

     

    i.e.:

    * tricks for factoring quartics, trinomials, etc

    * definitions / terminology

    * finite differences

    * polynomial behaviour

    * dividing polynomials, synthetic division

    * etc.

     

    I'll be happy to head it up. I have my grade 12 intro to calc notes out, as I'm helping a friend with it atm.

     

    In addition, I can post some more problems, as they're in my notes. :P

     

    I think the practical/application parts should be shown too whenever possible. [i.e. for gradients of a non-steady function, the average speed in a position-time graph; using the derivative to find the speed @ that point in time; etc.]

  7. lol

     

    Have you used Netscape Navigator? It's like that but much faster.

     

    With FireFox, you can download & install more plug-ins as you wish, built-in pop-up blocker, tabbing windows, and I just like the overall operation of FireFox. IE seems so...bulky. Even MyIE2 [which I use to see IE-only pages] doesn't have the same functionality as FireFox.

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