STEM

# Calculus I Essentials

47 CQ
11 Lessons
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3 CQ
1. Functions vs. Equations
A lesson 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.

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 CQ
2. How to Use the Vertical Line Test
A lesson 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.

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

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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3 CQ
4. Prove the Limit Doesn't Exist | Example
A lesson 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.

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

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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Hung P
Yes!
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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?
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Jamshid A
I learned a lot. Thanks
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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?
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