Calculus I Essentials

47 CQ
11 Lessons
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    3 CQ
    1. Functions vs. Equations
    A lesson with Krista King Math
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    Lost in the world of calculus? Start at the beginning by learning about functions - number ‘machines’ that serve as the basis for all of calculus.

    Functions vs. Equations
    with Krista King Math

    Lost in the world of calculus? Start at the beginning by learning about functions - number ‘machines’ that serve as the basis for all of calculus.

  • Playing
    2 CQ
    2. How to Use the Vertical Line Test
    A lesson with Krista King Math
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    You've got a graph, but how do you know whether or not it represents a function? Use the vertical line test! Learn the test, then practice on several examples.

    How to Use the Vertical Line Test
    with Krista King Math

    You've got a graph, but how do you know whether or not it represents a function? Use the vertical line test! Learn the test, then practice on several examples.

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    4 CQ
    3. Limits and Continuity
    A lesson with Krista King Math
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    Take the confusion out of limits with integralCALC! Learn how to solve for limits and infinite limits, and what to do in the event of a point discontinuity.

    Limits and Continuity
    with Krista King Math

    Take the confusion out of limits with integralCALC! Learn how to solve for limits and infinite limits, and what to do in the event of a point discontinuity.

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    3 CQ
    4. Prove the Limit Doesn't Exist | Example
    A lesson with Krista King Math
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    Take your calculus skills to the limit! Learn how to find the left-hand and right-hand limits, and then use those to prove that the general limit does not exist.

    Prove the Limit Doesn't Exist | Example
    with Krista King Math

    Take your calculus skills to the limit! Learn how to find the left-hand and right-hand limits, and then use those to prove that the general limit does not exist.

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    5 CQ
    5. Precise Definition of a Limit | Example
    A lesson with Krista King Math
    View lesson

    Know your limits! Learn about the precise definition (or epsilon delta definition) of a limit, and how it can be used to prove that a limit is true.

    Precise Definition of a Limit | Example
    with Krista King Math

    Know your limits! Learn about the precise definition (or epsilon delta definition) of a limit, and how it can be used to prove that a limit is true.

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    5 Comments
    500 characters max

    Hung P
    Yes!
    appreciate appreciated
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    Bruce R
    I'm always bothered by the "real world" use for math. Is there an actual use for these calculations or are they strictly a means to determine higher level values?
    appreciate appreciated
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    Jamshid A
    I learned a lot. Thanks
    appreciate appreciated
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    Zainab H
    Thanks for a great lesson! I have a question though; you see in the proof of the first equation x+3<delta and in the second equation x+3<epson/7. So how is it that we say that after the substitution, delta<epson/7? If we are taking the absolute value of x+3, shouldn't delta be equal to espon/7?
    appreciate appreciated
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    shanadj4 v
    I have not done calculus in a long time. please help me sherry
    appreciate appreciated
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    500 characters max