Euler's Method - A Simple Table That Works Every Time

Euler's Method can be a tedious task, but it doesn't have to be! Want to see a better way? (this simple approach isn't always found in your textbook)
Check out this easy-to-follow table that allows you to estimate quickly.
Estimating a first-order linear differential equation involves the use of a tangent line and a small increment, known as a step. Most textbooks and professors will have you continuously plug into the Point-Slope Form of the equation of a tangent line in order to evaluate each iteration. This involves algebra, simplification, and variables.
But by using a table that I will show you in this video, we will only focus on the values we need, making simplification easy, and arriving at the answer quickly and efficiently.
The best part is that no matter which method you use, you get same answer in the end - this table technique just makes things easier.
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Пікірлер: 130

  • @rishabsoman6566
    @rishabsoman65665 жыл бұрын

    Even Sal from Khan Academy couldn't explain this at all this well.

  • @christinelee4899

    @christinelee4899

    5 жыл бұрын

    IKR!!! I'm glad that I understood the concept after I watch this video.

  • @dhrubajyotipaul8204

    @dhrubajyotipaul8204

    3 жыл бұрын

    Sameeeeeeeeeeeeeee!

  • @Noble_Isaac
    @Noble_Isaac6 жыл бұрын

    Wish you were my Diff. Eq teacher. Very impressed by how clear and professional your lecture was.

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    Thanks so much!

  • @Missionary117
    @Missionary1178 жыл бұрын

    I was surfing the web and found your videos. Though I am at a point beyond what is being taught here (graduated in engineering). Just wanted to drop a comment and say how thoroughly impressed I am by your clarity and delivery. Wished my professors back in undergrad and even in graduate were remotely as good. A+

  • @MrAbbasalrassam

    @MrAbbasalrassam

    6 жыл бұрын

    defiantly agree with you

  • @bugsbunny278
    @bugsbunny2786 жыл бұрын

    After so many failed attempts to find a good explanation of Euler's Method, I am finally at a place that I can call home. Your explanation is lucid for an autodidact like me, and thas what all best teachers do: they make it easy for all alike.

  • @nhialbenyihok417
    @nhialbenyihok4172 жыл бұрын

    Sincerely speaking, these lectures lightened up my work and made it more understandable; very clear and precise. I can't go without appreciating such an excellent work.

  • @danielolsen300
    @danielolsen3004 жыл бұрын

    My textbook explains this in a head scratching way. The table setup made it easy to get hold of the concept. Thank you!

  • @abdullahelkodsi7429
    @abdullahelkodsi74297 жыл бұрын

    I am a second language speaker, and I usually do not understand most of the touters when they teach because they usually speak really quick, but you are different. I understood everything you said. I did not get confused at all. You go through the problem slowly and explain everything step by step. You are awesome. Thank you so much and keep it up.

  • @ahmadalabdulghani7332
    @ahmadalabdulghani73327 жыл бұрын

    I've just realized after surfing youtube looking for Euler's method, that this short video is really excellent. Thanks.

  • @aalmisry
    @aalmisry7 жыл бұрын

    I had a feeling when I saw the thumbnail and video title that it was going to be so clear and focused. Brilliant video!

  • @amrtalaat3816
    @amrtalaat38163 жыл бұрын

    I was looking for a clear video like this for ages. Thank you so much!

  • @thevision2206
    @thevision22062 жыл бұрын

    Miss, I appreciate you with deepness of my ❤️ our universe need more heros like you!!!

  • @chrislafollette6176
    @chrislafollette61763 жыл бұрын

    Best practicle Euler explanation yet!

  • @harshpreetsingh1228
    @harshpreetsingh12283 жыл бұрын

    Your lecture was so easy to grasp, thanks a lot!!

  • @jimparsons6803
    @jimparsons680311 ай бұрын

    Pretty cool. Brings back very dusty memories. She reminds me of one of my High School Math teachers from almost 50 years back, now, Mrs. Mickleson. She was as sharp and quick as the gal in this clip. Them were the days.

  • @samanthapierre8884
    @samanthapierre88844 жыл бұрын

    Wow! Thank you so much for your excellent explanation! I was a bit confused but you made it so simple!!!

  • @vassuduggal3858
    @vassuduggal38582 жыл бұрын

    so clear and easy to understand thank you!!

  • @franzliszt5932
    @franzliszt59322 жыл бұрын

    so simple how u teach it! the magic ways of good teachers i tell you. Thanks a ton !

  • @allisonkojima2328
    @allisonkojima23286 жыл бұрын

    This helped tremendously. Thank you so much!!

  • @geogaddi84
    @geogaddi844 жыл бұрын

    Thank you very much. Excellent explanation. My professor just has us tack on another column for the value of the y’ at each step. Throws me off a little.

  • @lucasj1488
    @lucasj14886 жыл бұрын

    A quick and easy explanation, thank you!

  • @josephsener420
    @josephsener420 Жыл бұрын

    Well done. Very clear.

  • @dannylaurenzana1
    @dannylaurenzana18 жыл бұрын

    thank you.. I have calculus class in the fall and I plan to watch all your videos to prep. Sometimes I do not understand the instructor in the front of the room, but you are very good delivering the message. Have a good day, and thanks again.

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    Hey +danny laurenzana - Thanks for you kind words! Good luck on your class in the fall. :)

  • @ademilsontungo6273

    @ademilsontungo6273

    8 жыл бұрын

    you're definitely one of the best math instructors i've ever watched here on KZread. I went ahead and created an account on your website. It's been very helpful to me.

  • @shivanikumari-db3qu
    @shivanikumari-db3qu10 ай бұрын

    Ma'am, you are a great teacher. the way of teaching is just amazing. Thanks 🙏

  • @hadoogle
    @hadoogle3 жыл бұрын

    much better explanation than i found anywhere else, even khan academy

  • @esdzidzi
    @esdzidzi4 жыл бұрын

    You are really good. I watched about four videos before I found yours. I should have found yours first

  • @Lyblix
    @Lyblix7 жыл бұрын

    Thank you very much! Very instructive.

  • @tariqmohammed8542
    @tariqmohammed85426 жыл бұрын

    Please post more videos, you're amazing!

  • @jallalhotaki5186
    @jallalhotaki51866 жыл бұрын

    Very well made, thank you for the great content.

  • @muhammadmursalin211
    @muhammadmursalin2115 жыл бұрын

    really nice video you made and it was very helpful for my concept!

  • @jasonhall947
    @jasonhall9476 жыл бұрын

    Thank you for this video!

  • @arjunchandrasekaran6883
    @arjunchandrasekaran68832 жыл бұрын

    That was an amazing explanation, thank you so much!

  • @mohammadpourheydarian5877
    @mohammadpourheydarian58774 жыл бұрын

    Well explained. Thank you.

  • @juniorcyans2988
    @juniorcyans2988 Жыл бұрын

    The best teaching that I want!

  • @dennissloatman3971
    @dennissloatman3971 Жыл бұрын

    Where were you when I was taking Calc 1, 2, 3 and DE? You are excellent! (subscribed)

  • @Lena-vh3mh
    @Lena-vh3mh3 жыл бұрын

    Great videos and they are very helpful! Thank you for doing this

  • @Abdulxziz
    @Abdulxziz3 жыл бұрын

    Thank you so much! you made it simple and clear

  • @lambogamez1478
    @lambogamez14783 жыл бұрын

    Very helpful video!!!

  • @anislee4080
    @anislee40803 жыл бұрын

    you explained this so well, much better than my teacher and khan academy combined. thank you so much this saved me!!

  • @N7aziz
    @N7aziz4 жыл бұрын

    amazing work thank you so much for the help!

  • @robbnelson5240
    @robbnelson52406 жыл бұрын

    Easy, thorough, and articulate. Well done, and thank you.

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    Glad you liked it!

  • @liampayne1780
    @liampayne17803 жыл бұрын

    Amazing, literally got it in one go

  • @ertugrulvarlik
    @ertugrulvarlik5 жыл бұрын

    Thank you ma'm for this beautiful video which has a great explanation.

  • @huntergoncalves6812
    @huntergoncalves68126 жыл бұрын

    super helpful thank you!

  • @codewithanmol0528
    @codewithanmol05286 жыл бұрын

    Love the way you taught eulers method

  • @AO-yw3gz
    @AO-yw3gz7 жыл бұрын

    great explanation thank you so much

  • @dhrubajyotipaul8204
    @dhrubajyotipaul82043 жыл бұрын

    Thank you so much! ♥

  • @MrAbbasalrassam
    @MrAbbasalrassam6 жыл бұрын

    So helpful thank you

  • @thrxmndr3068
    @thrxmndr30683 жыл бұрын

    Very helpful thank you

  • @wondergirl-helena5470
    @wondergirl-helena54705 жыл бұрын

    You are amazing and God bless you and your family.

  • @suchameme
    @suchameme8 жыл бұрын

    I'm studying for a numerical analysis final and this helped so much more than the book and my professor's explanation. Thank you so much.

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    Hey +christopher grant - So glad we could help you out! :)

  • @MayankLongiany
    @MayankLongiany Жыл бұрын

    Thanks for this invaluable video. Greetings from a fellow teacher!

  • @svengunther7653
    @svengunther76533 жыл бұрын

    Thank You!

  • @davonraymond3274
    @davonraymond32744 жыл бұрын

    Good Job!

  • @tshepomosime9340
    @tshepomosime93404 ай бұрын

    well explained.

  • @katherynew
    @katherynew5 жыл бұрын

    Very clear and concise explanation made complicated by numerous textbooks and various professors!! Thank you!!

  • @Calcworkshop

    @Calcworkshop

    5 жыл бұрын

    Thanks so much!!

  • @katherynew

    @katherynew

    5 жыл бұрын

    @@Calcworkshop I'm tutoring students in Calc 1 & 2 and after learning this 15 years ago, you have helped me regain the memory of learning this originally years ago!

  • @keylee85
    @keylee852 жыл бұрын

    You make me feel smart. thank you :,)

  • @brianacorrielus8890
    @brianacorrielus88905 жыл бұрын

    Thank you so much😀😀

  • @miguelbarbosa1583
    @miguelbarbosa15837 жыл бұрын

    Thank you

  • @kellykiiskila3629
    @kellykiiskila36296 жыл бұрын

    THANK YOU

  • @magdalena2115
    @magdalena21156 жыл бұрын

    Neat and clear! Thanks for sharing!

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    you're welcome!

  • @JD-tu5dd
    @JD-tu5dd2 жыл бұрын

    good video,thanks

  • @muhammadmunir4191
    @muhammadmunir41913 жыл бұрын

    in class this topic sounded like a chore, now its like a game of how accurate you can be

  • @jehangirkhan1831
    @jehangirkhan18318 жыл бұрын

    nice explanation

  • @UTubeColic
    @UTubeColic7 жыл бұрын

    Thank you so much for this amazing video! Very very helpful!!! 👏🏻

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    you're welcome!

  • @faris899
    @faris8997 жыл бұрын

    Wow this is awesome The method I used before was so confusing, didn't know if I'll be able to apply it in the exam Thank you so much!

  • @faris899

    @faris899

    7 жыл бұрын

    Here I am re-watching it for the final! lol

  • @drmksu38
    @drmksu385 жыл бұрын

    thank you very much, really you help me alot

  • @jakindaarika1633
    @jakindaarika16336 жыл бұрын

    for sure this is the best explanation of Euler's method. i have just sign in to like and give my special thanks to you madam. thank you very much.

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    you're welcome Jakinda...

  • @ayo3850
    @ayo38502 жыл бұрын

    Omg thank you so much! I'm finally able to do my math assignment with better understanding and ease UwU

  • 3 жыл бұрын

    well done ,thank you for your good explanation

  • @Calcworkshop

    @Calcworkshop

    3 жыл бұрын

    Glad you liked it

  • @misstana411
    @misstana4116 жыл бұрын

    enlightenment!!

  • @DuGongggg
    @DuGongggg5 жыл бұрын

    You saved me thanks so much

  • @ysites
    @ysites8 жыл бұрын

    Hello! I love the video. Great explanation. But, I have a question. I see that the distance where we want to go is given in this case. Does Euler's method work for where I don't know where to go? If not, what is a good method for that?

  • @abdulrehmanmalik4224
    @abdulrehmanmalik42246 жыл бұрын

    resolved my all questions

  • @Dash1326
    @Dash13264 жыл бұрын

    thank you

  • @angelsegura6721
    @angelsegura67213 жыл бұрын

    Amazing.

  • @truffleshuffle4265
    @truffleshuffle42655 жыл бұрын

    HELPFUL

  • @MrYusufgovani
    @MrYusufgovani7 жыл бұрын

    vey good explanation

  • @hadideyal9377
    @hadideyal9377 Жыл бұрын

    thank'S you are amazing

  • @MiracChen
    @MiracChen8 жыл бұрын

    You're so good at explaining things!!! Thank you!

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    Hey +Mirac Chen - Thank You SO much for you kind words.

  • @kamalmohamed9057

    @kamalmohamed9057

    8 жыл бұрын

    real education life the real lecture the true life in our life no one is like you gender of education it's good with my life thanks a lot

  • @owsowsful
    @owsowsful7 жыл бұрын

    thank u madam......cheers from Pakistan

  • @brendamartell7687
    @brendamartell76876 жыл бұрын

    does this still work if you have dy/dx=4x-3y+2 y(1)=5 y(1.5) h=.1

  • @zainulabideen7628
    @zainulabideen76284 жыл бұрын

    nice keep it up

  • @brentcallender5786
    @brentcallender57867 жыл бұрын

    you're amazing thanks so much

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    you're welcome. :)

  • @1r950
    @1r9505 жыл бұрын

    Bro this is so clear now

  • @aalmisry
    @aalmisry7 жыл бұрын

    Clarity and to-the-point-ness. Very rare on youtube these days. Everyone wants to be arty-farty.

  • @kagayakuangel5828
    @kagayakuangel58285 жыл бұрын

    FINALLY! I GET IT! Early Transcendentals is sooooo boring. They explained this TERRIBLY! I've managed to read more than half of that book and trust me, this part is REALLY BAD.... I was half asleep reading just now but this woke me right up. Thank you so much. I even understand that y(0.3) = 1.362 is the approximation of the dependent variable at y' = x+y. Which means the coordinate (0.3,1.362) Right? When I was reading that book they explained using so many t's and random letters for variables that I got confused.

  • @omolola3181
    @omolola31816 жыл бұрын

    This is so good.

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    Thanks so much!

  • @pouria1361
    @pouria13617 жыл бұрын

    You are doing awesome works.. could you solve some Differential E. from engineering with euler? Something Like air pressure in each 10ft? --> dp =−ρ(h)⋅g⋅ dh and ρ(h=0)=1.2 kg/m^3 because you told us how euler works bur without example.

  • @abderahmanealioua9291
    @abderahmanealioua92915 жыл бұрын

    Hello, your videos it's very interesting and i was studying from your videos and it's very helpful for me because i study in Russia and i'm from Algeria also i have problem with Russian language, that's why please can i have some lessons about Mayer functional , Bolza functional and taylor also ,,, and thank you so much fro you help

  • @ugurkockaya
    @ugurkockaya4 жыл бұрын

    Hocam (mean my dear teacher in turkish) God bless you

  • @RIPOSCAR1
    @RIPOSCAR17 жыл бұрын

    Please make more videos!!!

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Hey - good timing, I'm going to post some this weekend, stay tuned.

  • @jillian3752
    @jillian37527 жыл бұрын

    great video

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    thanks!

  • @ptyptypty3
    @ptyptypty37 жыл бұрын

    You could be the Twin of Lisa Edeltstein.... Identical VOICE and very similar Face.. amazing... oh and thank you for your Video... I'm taking my time watching it, Pausing now and then take notes.. and resuming.. I'M LEARNING!! :D .. thank you....

  • @ptyptypty3

    @ptyptypty3

    7 жыл бұрын

    Okay, I just finished watching your video and YOUR METHOD OF TEACHING IS SUPERB!!!.. I've watched several other videos on Euler's Method and YOUR's is the Best by far!!. thank you.. Your style is the difference... :)

  • @basil9633
    @basil9633 Жыл бұрын

    W Explaination

  • @clueless_experimenter
    @clueless_experimenter6 жыл бұрын

    Hats off mam

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    thanks so much!

  • @AyeItsFon
    @AyeItsFon2 жыл бұрын

    God bless u

  • @kylespencer6461
    @kylespencer64614 жыл бұрын

    Mr. McDowell's calc class gang wya?

  • @bballwatcher2224
    @bballwatcher22246 жыл бұрын

    This is almost the same method my teacher teaches, but is compacted into a much simpler format instead of finding slope, then the y=mx+b equation, then plugging the stepwise value to find y!!!!!

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    Absolutely, the table is made to make it easier and simplify your steps. :)

  • @bballwatcher2224

    @bballwatcher2224

    6 жыл бұрын

    As I said, my teacher uses a similar table to teach Euler's method.

  • @jakecass43
    @jakecass437 жыл бұрын

    cool

  • @brian7519
    @brian75196 жыл бұрын

    Your markers are going to dry out with the caps like that

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    😀