Finite Differences Tutorial

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A couple examples showing how to use the finite differences method
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We had a replacement teacher for our last term of the year (as our normal teacher had a heart attack, and is taking the term off to recover). We were told that this would be on the exam the final class of the year, and then we spent all of 10 minutes rushing through the method (no explanation as to how or why it works - polynomials weren't even mentioned). This was very informative, and gave me a much better grasp on the topic, thanks.

darcyscott
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7years ago! OMG! Amazing. Your video is so sweet. I have purely grasped the idea ♾️

muwongeevanspaul
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Awesome video, I had to solve a quartic function by hand for an assignment, and I had no clue what to do because the textbook had examples only upto a quadratic. This video saved my Math C mark lmao

ravvvioli
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Thank you dear Brain for this video, I will be able to face my DVC during lectures.

oziomaignatius
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The example at the beginning reminds me of how much fun I had playing with numbers as a kid. Good times 😊

ozzyfromspace
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Loved the explanation...




And I couldn't help but point out that
It would be masochistic, not sadistic to take on bigger numbers and let ourselves struggle xD

just_ign
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Where did you learn this particular method? I always wanted to learn this in high school, but they've never showed it to me in this detail. All they showed was that there is a constant difference at some point with x^2.

melvin
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Thank you very much! I understand it now. This is a good way

victorsu
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Thank you Sir for your help. Keep on recording more videos they are really helping.

balasiusshikongo
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OMG! Thank you for the detailed explanation.

kelvinholt
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Hi there! Thanks for the video! It's really great!

But just curious, why does the number of times you do the 'diffetences' equivalent to the highest power needed for the polynomial to approximate the pattern? This has been bugging me all day and I can't really see a direct link between these 2.

kendytan
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Really nice. Thank you mr. Brain Stonelake.

salehgaamel
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Nice video, you are a good teacher =D. Thx for the content.

MVTN
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Amazing video. Good to learn something new!

quintustheophilus
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So, the numbers in green can be anything?

theshroudedpast
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that's why a programmable calculator can find a function with some given points

CLChan-cjqb
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If that final equation is given, and it is a first difference, then how can I find its function?

kalpesh
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I think it is easier to use algebra factorial method
a=∆2÷2!

karlsydneykinyua
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I got a 0 in place of c and now the problem dosent add up

southpole
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iF yOu aRe sAdiStiC aNd WaNNA DEAL WITH BIGGER NUMBERS

stoneren