Thursday, March 19, 2015

Term 3 Discussion (Series Topics)

This is for discussing topics from term 3 (series), including homework, in-class work or lessons, take-home readings, or anything else related to the class from term 3.  Please be sure to include your name at the end of your post for credit.  When answering a question, DO NOT GIVE SOLUTIONS! Provide hints or explain a method that you used, but do not give the final result.  As always, RESPECT IS A MUST! Anyone abusing this forum will be banned from future use (meaning, no extra credit!!!).

14 comments:

  1. Will the quiz on friday be open calculator?

    Thanks,
    Rachel Hersch

    ReplyDelete
    Replies
    1. We will not be able to use our calculators

      Angela Satullo

      Delete
  2. Will we have to find what a series converges to on the quiz?
    -Abby Siegal

    ReplyDelete
    Replies
    1. I believe that we are only able to find what values geometric and telescoping series converge to. Otherwise, we can only determine if a series is converging or not. So, generally, you will be mostly just be determining convergence or divergence on the quiz. Hope that helps!

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  3. In what instances do we have to test for absolute convergence? Will it be specified or is it just for ratio test?

    Thanks,
    Emma Gijsbers

    ReplyDelete
    Replies
    1. The question will specifically ask you to test for absolute convergence if it is needed. Also, both the ratio and the root test will give you absolute convergence.

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  4. Is there a way to find what a series converges to without needing a fancy calculator? Or should I be investing in a new calculator?
    - Maggie Hammond

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    Replies
    1. Actually, there are only very few series that we can find an exact value for. There are ways of estimating the value of the series numerically, and for some types of series we can use remainder theorems.

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  5. For the outline, one bullet says "Differentiation Rules," and then lists all of them...do we need a definition and example for every single one?

    Amira

    ReplyDelete
    Replies
    1. Yes, include an example for each rule.

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    2. You can be creative, though, and find a single example that incorporates multiple rules.

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  6. How does the continuity of a function change on a closed interval vs an open interval?

    Angela Satullo

    ReplyDelete
    Replies
    1. To be continuous on a closed interval the one sided limits at the end points must equal the function value at the endpoints. On an open interval there are no endpoints to consider.

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  7. Hey Mr. Wilson,
    I'm working on the outline and I came to the "derivatives of functions defined as series" bullet point and i was really confused as to what it was referring to.
    Thanks,
    Will S

    ReplyDelete