Deriving the Reactance Formulas - If you’ve dealt with reactance, you surely know the two equations for computing in... - https://hackaday.com/2025/04/28/deriving-the-reactance-formulas/ #radianfrequency #mischacks #reactance #calculus #math

Today I accidentally learned that limacons are inversions of conic sections!

Imaginary numbers aren't just mathematical curiosities. They simplify #trigonometry, #calculus, and #geometry, opening up new possibilities in #math and #science. A mathematician explains: https://theconversation.com/taking-a-leap-of-faith-into-imaginary-numbers-opens-new-doors-in-the-real-world-through-complex-analysis-233965

A few weeks back I was complaining about this meme and we had a good discussion about it on here. I ended up making a lesson plan about taxes and my students really liked it so I will share it. (It is for students with a basic understanding of integration. But, you could probably rework it to skip that bit.)

https://drive.google.com/file/d/14xaQ1hMpqy0A68MAbxN49zK4HxK8m2R6/view?usp=sharing

(And if you have feedback let me know!)

There is a point on every #calculus that all other stones may stack upon.

That is #balance.
That is #negotiation.
That is #compromise.

"In #Latin, "calculus" means "small pebble" or "pebble," which is where the mathematical term gets its name from as ancient Romans used pebbles for counting on an #abacus."
#math
#nature
#history

Mechanical Calculator Finds Derivitives - We like mechanical calculators like slide rules, but we have to admit that we had ... - https://hackaday.com/2025/01/06/mechanical-calculator-finds-derivitives/ #derivimeter #derivitive #mischacks #sliderule #calculus

If you've done some #datascience but never really learned or truly understood #calculus, you might find this analogy of interest...

Integration is just split-apply-combine.

Suppose you want to find out the average wealth of people in some state... You could take the data you have, break it up by zip code, calculate the local average wealth estimate, multiply by the number of people in the zip code, and add it all up. Then divide by the total number of people in all the zip codes.

One of the many classes I teach is a calculus course for 12th year high school students. Since their peers are taking Calculus II and Linear Algebra and beyond they regard themselves as “the slow class” which is ridiculous. Most people don’t take calculus until college, if they ever encounter it at all. But young people compare themselves to their peers— 1/

internet friends who are smarter than me, I spent more time than I'd care to admit throwing my head against this problem and can't get the correct answer ._. Online tools are also of no help and my classmates also can't figure it out... any help is appreciated
#math #calculus #homework #tutor

I'm not gonna pass my #calculus exam am i

#Calculus ##EM

Inspired by my brilliant student (https://mathstodon.xyz/deck/@phonner/112419322877058443) I've been playing around with \(e\)-like sums. Here's a fascinating one!

\[ \sum_{n=0}^{\infty} {\frac{n^4}{n!}}=15e \]
This is strange enough to provoke wonder, but simple enough to serve as an entry-point to an interesting generalization.

Frankly, #memes like this would have really helped while taking #calculus, #physics, and signals #engineering classes.
https://blahaj.zone/notes/9qvm5o0hsej300cj

Making Floating Point Calculations Less Cursed When Accuracy Matters - Inverting the earlier exponentiation to reduce floating point arithmetic error. (C... - https://hackaday.com/2024/03/14/making-floating-point-calculations-less-cursed-when-accuracy-matters/ #softwaredevelopment #softwarehacks #floatingpoint #calculus