Mel<p>My oldest is retaking calc, struggling with understanding derivatives. He wants to really get how they work, not just push symbols. He has a low tolerance for frustration; I try to explain and he throws his hands in the air. It was the same when he took it in high school. So I’ll be spending my flight to LA digging into my old calc book to see if I can improve my explanations.</p><p>That said, anyone here know of a good source to explain this stuff in a technical but digestible way?</p><p><a href="https://mstdn.social/tags/Calculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculus</span></a> <a href="https://mstdn.social/tags/AuDHD" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AuDHD</span></a></p>
#calculus
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How much total drag does my truck create while moving down the highway?
Measure it indirectly!
Run cellphone GPS logger at 1-second interval. Get truck up to speed on flat section of highway, put transmission in neutral, foot off the gas. Let the truck slow down 30 - 45 seconds to get a decent number of data points. Make another data run on same section, but opposite direction to average out effects of wind and any slope.
Import GPS log into spreadsheet.
A linear fit gives you a straight line slope...good enough to determine deceleration...then apply that to F = m * a (you need to know truck's weight) Now you know total drag force at one speed.
Total drag is air resistance (varies with square of speed) plus rolling friction (assume it's constant). OK, do a quadratic/polynomial fit. Now you know rolling friction. Subtract from total drag, and you can determine area-drag (Cd * frontal area) of your truck.
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"RFK Jr. is just an ignorant asshole", says an autistic kid that became an adult who holds down a job, pays taxes, contributes 2 cute formulas and a revolution in #mathematics #education to society.
#actuallyautistic #autism #autismawareness #autismacceptance #neurodivergent #polynomials #calculus
RE: https://bsky.app/profile/did:plc:mlmouohgzbjofidukcp4pxf2/post/3lmxl6lrj3c2a
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!)
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university. Her accomplishments were tremendous in her short but astonishing life.⠀
Born Sofia Korvin-Krukovskaya, in Moscow, she attributed her early aptitude for #calculus to a shortage of wallpaper, which lead her father to have the nursery papered with his old differential and integral analysis notes. Her parents nurtured her early interest in #math, and hired her a tutor. The local priest’s son introduced her to #nihilism. So both her bent for revolutionary politics and passion for math 
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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.
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Anyway, here it for anyone who might be interested for education purposes.
#Calculus #FirstDerivative #Mathematics #Differentiation #CCBYSA (2/2
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/
Ukraine Daily Summary - Saturday, October 26 2024
Satellite images show expansion at Soviet-era bio-weapons lab (biological weapons research) in Russia -- Elon Musk has been in contact with Putin, Russian officials since 2022, WSJ reports -- How Russia attempted to steal Moldovan election, referendum, and what comes next -- Russian drone hits apartment building in Kyiv, killing several -- and more
writeworks.ukUkraine Daily Summary - Saturday, October 26 2024Satellite images show expansion at Soviet-era bio-weapons lab (biological weapons research) in Russia -- Elon Musk has been in contact with Putin, Russian officials since 2022, WSJ reports -- How Russia attempted to steal Moldovan election, referendum, and what comes next -- Russian drone hits apartment building in Kyiv, killing several -- and more
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Linear algebra (continued)
Which of the below operations, when applied to the rows of a matrix, keeps the #singularity (or non-singularity) of the matrix?:
(Hint: It works the same as a system of linear equations.)
So if I would start getting into lambda calculus. What's the go to material that I simply shouldn't miss out on?
Can you spare a minute to help a fellow out with #math?
I've been trying to brush up on my #calculus, and picked up a textbook. In the context of the building blocks of derivatives, there's this basic thing I don't understand:
y-f(a)=mₜₐₙ(x-a)
Where does this come from? Why is this the equation for the tangent line at a?
Your insights most appreciated. 