Calculus 1 Worksheets Now Available! Apr 28, 2023

Hi there!

I'm excited to announce that the worksheets to accompany my Calculus 1 series are now complete and available to download! This includes worksheets for all 55 lesson and examples videos!

You can download the PDF with the complete set of worksheets for free at the link below:

https://www....

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What's Next? - Progress (April 2023 Update) Apr 07, 2023

Hi there! 

Last month I posted an update on what is coming to JK Math over the next couple months with 4 main items of focus. Today I have a progress update on each of those items to share with you. First, as a reminder, here are the 4 items I listed in the last update:

(1) Downloadable Calc 1 & F...

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What's Next? (March 2023 Update) Mar 06, 2023

Hi there! Time for a little update on what's next at JK Mathematics!

As of last week my series for Calculus 2 is now complete for a total of 52 lessons and examples videos! I have already chosen a new course to make videos for next, but there are a couple other items on my to-do list that I want to...

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Area of Surfaces of Revolution with Polar Equations - Calculus 2 Mar 02, 2023

The final application of calculus within the polar coordinate system is calculating the area of surfaces of revolution formed by polar curves via integration. This includes surfaces of revolution formed by revolving polar curves around the polar axis (equivalent to the x-axis) and the vertical ax...

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Arc Length of Polar Curves - Calculus 2 Feb 28, 2023

Another application of calculus within the polar coordinate system is the ability to calculate arc length of polar curves via integration. In the past we already saw how to calculate arc length of curves in the rectangular coordinate system in both rectangular form and parametric form. In fact, w...

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Area Between Two Polar Curves - Calculus 2 Feb 23, 2023

At the very beginning of Calculus 2, we learned how to find the area between two curves within the rectangular coordinate system by using integration. This process involved identifying a top and bottom curve for the area we wanted to find, as well as the two values of x that the area was located ...

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Area Under Polar Curves - Calculus 2 Feb 21, 2023

In Calculus 1 you learn that the area under a curve can be calculated using a definite integral. Up to this point, those curves that we have been calculating the area beneath were rectangular curves within the rectangular coordinate system, either represented by rectangular equations, or more rec...

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Slope & Tangent Lines of Polar Curves - Calculus 2 Feb 16, 2023

One of the first topics that you learn about in calculus is how to determine the slope of a tangent line at a particular point along a curve. This is known as "the tangent line problem" and we solve it with the concept of a derivative. We have used the derivative in the past to find slope of tang...

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Graphing Polar Equations - Calculus 2 Feb 09, 2023

Graphing polar equations is similar to graphing rectangular equations, but is also different in many ways. There are very basic polar equations that represent the graphs of lines and circles which are also commonly represented by rectangular equations, but then are some special polar equations th...

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Polar Equations vs Rectangular Equations - Calculus 2 Feb 07, 2023

When working in the polar coordinate system rather than in the rectangular coordinate system, you will no longer be using rectangular equations in terms of x and y. Instead, you will be using brand new types of equations known as polar equations.

Similar to how rectangular equations in the form ...

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