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#calculus

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@yongzs1218

Bob Miller's Calc for the Clueless: Calc I & II, 1997

The first calc study guides that really give students a clue. Bob Miller's student-friendly Calc for the Clueless features quickly-absorbed, fun-to-use information and help. Students will snap up Calc for the Clueless as they discover: Bob Miller's painless and proven techniques to learning Calculus Bob Miller's way of anticipating problems.

@bookstodon
#books
#nonfiction
#maths
#calculus

《大學入門微積分》筆記
Introduction to University Calculus Notes
吾習單維彰教授《大學入門微積分》之課,謹將筆記照片上傳於網路。感謝單教授與國立中央大學之辛勤教誨與付出!
I have studied Professor Shann Wei-chang’s course
Introduction to University Calculus and hereby upload photos of my notes to the internet. I sincerely thank Professor Shann and National Central University for their dedicated teaching and efforts!

如欲下載原圖,請訪問吾之網誌:
《大學入門微積分》筆記
If you want to download the original image, please visit my weblog:
Introduction to University Calculus Notes

原影片課程:
YouTube原版 bilibili搬運

#筆記 #數學 #基礎 #微積分 #入門 #單維彰 #大學 #大學入門微積分 #中央大學 #笔记 #数学 #基础 #微积分 #入门级r #单维彰 #大学 #大学入门微积分 #中央大学 #note #math #mathematics #basic #calculus #introduction #Shann_Wei-chang #university #college #NCU

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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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.)

drive.google.com/file/d/14xaQ1

(And if you have feedback let me know!)

#tax#taxes#math
Continued thread

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 🧵2

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.

Somebody was posting on here about how the various 3D apps handle the X, Y, & Z coordinate system differently recently, and I just spotted the following AMD article that goes into a little more depth on the subject (it's a good matrix math refresher)...

gpuopen.com/learn/matrix-compe

AMD GPUOpenIntroduction - Matrix CompendiumThe GPUOpen Matrix Compendium covers how matrices are used in 3D graphics and implementations in host code and shading languages. It's a growing guide, so keep checking back!
#AMD#3D#DCC

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/