Category: Mathematics
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The Math You Need to Know to Understand Euler’s Formula
A concise review of the mathematical concepts that are needed to understand Euler’s formula.
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Can I Skip Prealgebra?
Skipping prealgebra is an idea considered by many students. Here are the topics covered in prealgebra, a way to take a placement test to see if you are ready, and a way to study to prepare to skip it.
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Spirographs 3
This is the third in a multi-part series on spirographs. It might be helpful to review part 1 and part 2 first. Review In the first two parts, I discussed the parametric equations for drawing a spirograph and rewrote these equations using coefficients that can vary independently to adjust the size of the design, the…
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Spirographs 2
This is part 2 of a multi-part series. If you haven’t read the first part, it may be helpful to review it first. The problem with the standard formulas The standard formula for an epitrochoid is: The problem with this formula is that adjusting r or d to form new designs changes the overall size…
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Spirographs
What is a spirograph? A spirograph is made by rolling a circle around another circle, like thiis: There are two basic types of spirographs: an epitrochoid and a hypotrochoid. An epitrochoid is made like this: A hypotrochoid is made like this: The equation of a spirograph The equation for an epitrochoid is: The equation for…
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Scientific Notation (Basic science review)
The most important things you need to know about Scientific Notation. Part of the Basic Science Review series.
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Greek letters we’ve used
Greek letters are commonly used in science. There are 24 Greek letters. Here are the ones we have discussed recently. Greek letter Name Uses α alpha alpha particles, indicates the first angle of a triangleopposite the side a β beta beta particles, indicates the second angle of a triangle opposite the side b γ gamma…
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Amplitude & frequency
A discussion of amplitude and frequency using the motion of a spring and a pendulum as an example
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Classification of numbers
Certain infinite sets of numbers are common in mathematics and it is important to be able to distinguish them.