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Need help w/ Calc project

  1. May 10, 2003 #1
    Need help w/ Calc project!!

    I have to create a Children's book about math or calculus. It could be fictional or it could be an ABC book.
    So, I think that I'm going to do and ABC book, I'm going to put a Theorem name that is matched w/ an Alphabet letter and then, I'll put the equation/ formula that is belong to the theorem. I don't know wat to put for letter K, U, W, X, Y....Can someone plz give me some suggestions? thanks a lot. Below are The things that I came up with...
    A- Anti deriv.
    B- Browne, Marjorie Lee (a mathmatican)
    C- Continuity/ Chain Rule
    D- Deriv or Differential
    E- Extreme Value Theorem
    F- Fundamental Theorem of Calc
    G- Global Extreme Value
    H- Half like
    I- Implicit Differentiation
    J- Jerk (s"')
    K- not sure, need some help
    L- Limit/ L'Ho^pital' Rule
    M- Mean Value Theorem
    N- Newton's Method
    0- Optimization
    P- Population density
    Q- Quadratic Formula
    R- RAM/ Related Rate
    S- Sandwich Theorem/ Simpson's Rule
    T- Trapezoidal Rule
    U- undefined (not sure exactly wat to put for U)
    V- Volume (integral)
    Z- Zeros
  2. jcsd
  3. May 10, 2003 #2
    Hi miyuki9,
    I'd like to help you but can you please tell what age those children are?
  4. May 10, 2003 #3


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    K Kronecker delta (K was a famous 19th cent mathematician)
    U union (from set theory)
    W Weierstrauss (famous 19th cent mathematician)
    X x-axis (independent variable)
    Y y-axis (dependent variable)
  5. May 10, 2003 #4


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    I dont think its for children..I would guess its one of those projects that teachers give when they get bored
  6. May 11, 2003 #5
    I think it just said a Children's book about math or calculus. OK, I agree at first glance this may sound ridiculous. But there sure are some concepts in calc which can be understood by children. You could e.g. talk about some wizard who has a box full of pieces of string where the 1st is 1 ft long, the second is 1/2 ft, then 1/4 ft, and so on, and ask what is the total length of all the strings.

    I asked about the children's age because one has to take into account what they might already know.
  7. May 11, 2003 #6
    It's a CHILDREN BOOK (LIKE an ABC BOOK) about Math or Calculus. Plz help me out w/ suggestions.
  8. May 11, 2003 #7
    Or you could use W - Wallis (as in Wallis formulas for Integrals)

    J - Jacobians or Jump discontinuity
    U - U Substitution

    A Calculus book for little kids? Where were you 15 years ago? :wink:
  9. May 11, 2003 #8
    Oh, if it's also math (not necessarily Calculus), you could have

    A - aleph
    B - Banach Space, Basis
    C - Constant of Integration (okay okay, so this is Calculus)
    D - Differential Equation (okay, you got me again)
    E - Euler's number
    H - Homogeneous Equation
    I - Inner Product Space
    K - Kernel
    L - Linear Independence, Linear Combinations
    R - Range
    S - Span
    T - Transitional Matrix, Tensor
    V - Vector Space
  10. May 11, 2003 #9

    Tom Mattson

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    Re: Need help w/ Calc project!!

    I would go with things with which you can associate a picture.

    That one is kind of obscure. A more famous one would be Bernoulli (you have quite a selection of them!). But all you can really show is a portrait. If you want a mathematical concept, you could try Beta function

    Another good visual one would be Conic Section

    I assume you are talking about the first- and second-derivative tests, but I've never heard of it by that name. Since you already have Global Extreme Value, how about something different, such as Eccentricity? That lends itself well to pictures.

    Say what?

    How about Hermite Polynomial?


    OK, no that will blow their little minds. Go with mathman: Kronecker Delta.

    This, along with Extreme Value Theorem and Global Extreme Value is your third one on the same concept. How about Oblique?

    Someone said U-substitution. I like it.

    Wedge Product

    And the axes for X, Y, and Z wraps it up in one shot.
  11. May 12, 2003 #10
    Sorry, I don't understand what's going on here. I don't think the ABC idea is good, but even Tom made some suggestions . Do you really think it's useful to confront children with (say) Hermite Polynomials? OK, I'll make one more suggestion on how to make calc interesting for children, and then I'll leave this topic.

    Once upon a time, there was this very fast runner called Achill. Look at the picture! Feathered helmet, big muscles, he's a really cool guy. One day, a small turtle walked up to Achill, and said: "Achill, let's have a race. You're 10 times faster than I am, so you got to give me some advantage. 10 metres will do."
    Achill said "OK", and here you see them both getting set for the race. BTW, the guy with the pistol is called Zeno, and here you see how he fires into the air. BANG! Achill crosses the 10 metres in almost no time, but has he caught up with the turtle? No. As you can see in the next picture, the turtle has gone 1 meter and is still ahead of him.
    "Wait", thinks Achill, I'll catch you. He runs another 1 meter. But look at the next pic! The turtle is no more there. It has moved another 10cm, and is clear ahead of Achill...blah..blah...
  12. May 12, 2003 #11


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    Re: Re: Need help w/ Calc project!!

    Into smithereens, no doubt.
    But really, I myself don't know most of these "famous" mathematicians (granted I am not the lodestone of all knowledge... but...) Do we expect these children to identify with them?

    How about Kepler, for being the sort of stimulus for Newton's formalisation of celestial mechanics?
  13. May 13, 2003 #12


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    k- constant, like dy/dt=yk for exponetial growth and decay

    p- pi!

    w- washer method (volume of region enclosed between two functions, when revolved around an axis or a line)
  14. May 14, 2003 #13
    ABC Book- I need to have everything related to Calculus ...if it's mathmetician, then he/she has to have some work related to Calc...Right now...I still need help w/ K, B, Q, X, Y...Plz help
  15. May 15, 2003 #14
    OKay, with some brainstorming...

    How about:

    Brachistochrone problem
    Boundary Point

    Kovalevsky, Sonya
    Kappa Curve

    Quotient Rule
    Quadric Surface


    the only things I could come up with are x axis, y axis, x coordinate, y coordinate, x axis symmetry, y axis symmetry, x intercept, y intercept, xy place, xz plane, yz plane.

    Hope this helps.
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