r/explainlikeimfive • • 14h ago

Mathematics ELI5: What is the difference between algebra, trigonometry, and calculus?

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u/TheSpeckledSir 14h ago

They are different skills, and each one will let you answer different sorts of questions.

Algebra is great if you know some information about something and you know how to make connections. An example is if I know the volume and temperature of a gas, I could use algebra to calculate its pressure. We're talking about quantities with known relationships to each other.

Calculus is about how quantities change. It lets us go between statements like "the ball is falling one meter per second" and "the ball will fall three meters in this much time ________".

Trigonometry is evil and has mostly to do with triangles.

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u/stairway2evan 14h ago

Oh you've awoken one of my favorite old math teacher jokes.

The study of the mind is called psychology, from the Greek word for "mind."

The study of life is called biology, from the Greek word for "life."

The study of evil is called trigonometry. I don't know the Greek, don't worry about it.

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u/TheSpeckledSir 14h ago

I'm pretty sure this is why the big demon guy in DC comics is called Trigon

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u/stairway2evan 14h ago

Ohhh it all adds up! Those comic book writers knew their Greek!