Fun with the Dot Product (Math = Patterns)
Imagine this. You have a terribly strong desire to learn as much math as you can. You know that people do research in math, whatever that...
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Jonathan
- Nov 15, 2021
Rectangles in Polar Coordinates
Circles in rectangular coordinates...Rectangles in polar coordinates? This is a bit of a goofy one. Why? Well, I want to figure out...
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Jonathan
- Nov 15, 2021
The Integral of Csc(θ)
What is the integral of cscθ? Usually this is done by telling you to multiply by blah/blah where blah is some expression that comes...
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Jonathan
- Nov 5, 2021
Learning Pygame with Catan (Part 1)
An Intro to Catan Who else here used to play Settlers of Catan as a kid? The first memory I have with the game is happily placing roads...
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Jonathan
- Oct 26, 2021
My Tutoring Philosophy (Part 2)
Teaching vs Tutoring What is the best way to tutor? That's naturally the golden question here. And as we talked about in the last part,...
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Jonathan
- Oct 19, 2021
My Tutoring Philosophy (Part 1)
As fun as the Arithmetic Derivative is, I wanted to finally publish my first post in a series of tutoring/educational blog posts. I want...
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Jonathan
- Oct 17, 2021
The Arithmetic Derivative (Part 4)
What do the differential equations mean? Usually, we are motivated to study differential equations by situations in everyday life,...
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Jonathan
- Oct 13, 2021
The Arithmetic Derivative (Part 3)
Let us count The nice thing about the arithmetic derivative is that it takes a natural number to another natural number. This leads to...
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Jonathan
- Oct 12, 2021
The Arithmetic Derivative (Part 2)
Our first pattern So we've taken the usual rules for differentiation and applied them to natural numbers: D(ab) = aD(b) + D(a)b with...
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Jonathan
- Oct 9, 2021
The Arithmetic Derivative (Part 1)
An introduction If you've done calculus, then you've talked about differentiation. We usually talk about this in terms of "linear...
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