Ask a Math Student Stuck in a 2 hour Calculus 1 Lecture ANYTHING!

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    Jul 21, 2008 10:40 PM GMT
    Yup that's right
    I'm here... doing stuff I already know... (while eating cold oatmeal lol)
    So keep me awake!
    Ask me ANYTHING icon_biggrin.gif
    I'll answer it (if I can). DONT BE SHY icon_biggrin.gif

    (Emphasis on the ask me ANYTHING... you know... stuff that isn't exactly math related as well hahaha...

    However I must say... I thought I was the only math dork in the world... now if i could only find a Math dork that likes to go the gym, is my height, attractive, and lives in NYC... sigh)
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    Jul 21, 2008 10:43 PM GMT
    Okay, I'll start ...but they're quite lengthy! Here goes...

    ----- How do fashion trends work?
    ----- Who decides what the trend is for each each season?
    ----- What factors determines the fabric, color, texture, silhouette, etc. presented?
    ----- Where does one go to find the trends for each season?
    ----- When does a fashion trend go out of style?
    ----- Why do girls get to wear any color they want but guys barely get experiment in that area (How many royal purple suits do you see men wearing? How many peach colored slack do you see on men's clothing racks?)
    ----- How does a person become fashion forward? How does a person avoid falling behind?

    - For a young gay man 18-25, what would you suggest as basic requirements for their wardrobe?
    - Who is your favorite designer?
    - Where is your favorite place to shop for clothes?

    icon_lol.gificon_lol.gificon_lol.gif
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    Jul 21, 2008 10:50 PM GMT
    ZiMpLuS saidOkay, I'll start ...but they're quite lengthy!


    har har har lol

    Good thing I put that "I'll answer it (if I can)." Clause in my original post icon_biggrin.gif
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    Jul 21, 2008 11:34 PM GMT
    Is your teacher cute? icon_razz.gif
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    Jul 21, 2008 11:43 PM GMT
    Sedative saidIs your teacher cute? icon_razz.gif


    No, not to me lol.

    He's severely smart, but I guess I focus so much becuase he doesn't look attractive lol.

    Someone has to like him though . . .
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    Jul 21, 2008 11:53 PM GMT
    Are the integrals of all transcendental functions obtainable by polynomial differentiation of Taylor expansions?
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    Jul 21, 2008 11:56 PM GMT
    can't answer? perhaps you shoulda been paying attention. snap.
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    Jul 22, 2008 4:31 AM GMT
    carthesis saidAre the integrals of all transcendental functions obtainable by polynomial differentiation of Taylor expansions?


    Can't tell you - I'm in Calculus 1 remember lol

    The subject of Taylor Expansions is in Calculus 2 and 3 icon_biggrin.gif

    But to take a wild guess, I believe the answer is yes lol - but not sure....
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    Jul 22, 2008 4:53 AM GMT
    omg lol i love calculus!
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    Jul 22, 2008 5:15 AM GMT
    What's 1 + 2?
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    Jul 22, 2008 5:18 AM GMT
    yes. Yes? yes.

    all transcendental functions can be written as Taylor expansions

    all Taylor polynomials can be integrated

    Then
    all transcendental functions can be cast as differentiations of tayor polynomials.

    all transcendental functions can be integated

    Then
    integral transcendental function = integral of differentiation of a specific tayor polynomial

    Here's a pretty one that's a less abstract, but more tricky:

    integral from 0 to infinity of e^(-(x^2)/2) dx

    I had it on a take home test in a slightly different form when I took Calc 2 with an insane teacher, but this one happens to be solved on Drexel's Mathforum, so you can look it up if you can't get it.



    SPOILING EVIL HINTS BELOW





























    Try it first!















































    If
    I = integral (0 to inf) e^(-(x^2)/2) dx
    then
    I^2 = integral (0 to inf)(e^(-(x^2)/2) dx) *
    integral (0 to inf)(e^(-(x^2)/2) dx)
    and
    I^2 = integral (0 to inf)(e^(-(x^2)/2) dx) *
    integral (0 to inf)(e^(-(y^2)/2) dy)
    (you can do this because variables are nothing more than placeholders: won't affect the numerical value at the end)
    I^2 = double integral (0 to inf)e^(-(x^2+y^2)/2) dx dy
    What does x^2+y^2 look like?



    MORE SPOILING HINTS BELOW







































    transform to polar coordinates, x^2+y^2 = r^2
    dx dy becomes r * dr d(theta)
    don't forget to change the limits of integration

    The whole solution altogether.

    Sorry for the long ass post.

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    Jul 22, 2008 5:19 AM GMT
    Aww shoot, you're in Calc 1. Well, you won't get to the stuff in my post until Calc 2. Sorry blind2limits icon_confused.gif
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    Jul 22, 2008 5:20 AM GMT
    Buckwheet saidWhat's 1 + 2?

    Fish



    No really it's just 3 icon_biggrin.gif
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    Jul 22, 2008 5:23 AM GMT
    duckyflotsam saidAww shoot, you're in Calc 1. Well, you won't get to the stuff in my post until Calc 2. Sorry blind2limits icon_confused.gif


    It's okay.. just take out all the spaces in your rather lengthy proof post icon_biggrin.gif
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    Jul 22, 2008 5:33 AM GMT
    Uh, I kind of did it for a reason: so readers could run into the hints one at a time. But if enough people (like, 2) mention its incredible annoying-ness icon_biggrin.gif, I'll do that.
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    Jul 22, 2008 6:25 PM GMT
    blind2limits said
    Buckwheet saidWhat's 1 + 2?

    Fish



    No really it's just 3 icon_biggrin.gif


    I like the fish answer. You're gonna make one helluva janitor! icon_lol.gif j/k
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    Jul 22, 2008 6:59 PM GMT
    I know some math majors will hate me for this, but have you read David Foster Wallace's history of infinity titled Everything and More? I recommend it. Most critics just can't stand his writing style. I admit his style is an acquired taste, but for those of us who *do* like this author the book is very rewarding.
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    Jul 22, 2008 7:14 PM GMT
    Are we going to lose another forum to idiotic...


    Ask a guy that ________ anything threads icon_confused.gif


    Aka is this going to turn into the now infamous Miscellaneous section of the bb.com forum.....
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    Jul 22, 2008 7:35 PM GMT
    blind2limits said
    Buckwheet saidWhat's 1 + 2?

    Fish

    No really it's just 3 icon_biggrin.gif


    Not in base2 or base3.
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    Jul 23, 2008 7:09 PM GMT
    PDSurfer said
    blind2limits said
    Buckwheet saidWhat's 1 + 2?

    Fish

    No really it's just 3 icon_biggrin.gif


    Not in base2 or base3.


    Not in base 8 or base 16 either, but you dont see me complaining lol

    Someone had to do it lol