Calculus I Essentials

41 CQ
11 Lessons
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    1. Functions vs. Equations
    A lesson with integralCALC
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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.

    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.

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    2. How to Use the Vertical Line Test
    A lesson with integralCALC
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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.

    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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    3 CQ
    3. Limits and Continuity
    A lesson with integralCALC
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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.

    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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    4. Prove the Limit Doesn't Exist | Example
    A lesson with integralCALC
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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.

    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 integralCALC
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    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.

    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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35 Comments
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Kyle G
if you have input concerning the "test questions for understanding" that are interspersed throughout a lesson please increase the time to answer from the current unreasonable 5 sec to something more acceptable like 30 sec or more depending on the question. Thank You In Advance and Be Well Kyle E Griffee
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Susan S
very straight forward and easy to follow...well said!
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Tereasa S
Excellent job. If I had to make one suggestion, you should maybe have a real world application included for each topic so students can see the connection.
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Johnathon K
i am about to finish my sophomore year in high school and have only learned geometry and algebra 1. so far i have had no problems understanding what you are teaching. i look forward to continuing to use your page.
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Hung P
I really love your tutorials. Very nice.
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