Explanation of Simpson's rule | MIT 18.01SC Single Variable Calculus, Fall 2010

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MIT OpenCourseWare

MIT OpenCourseWare

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@beihqbyeweq
@beihqbyeweq 7 жыл бұрын
Most professor just stop at the answer, but she went back to the question and summarize the whole thing again. Thank you!
@Isabel-r4p
@Isabel-r4p 4 жыл бұрын
Lovely! It s amazing
@Nova-Rift
@Nova-Rift 3 жыл бұрын
exactly! amazing
@fahadalghamdi9316
@fahadalghamdi9316 Жыл бұрын
I really want to take a moment to be..extremely grateful. I never expected such high quality education to be open and available for anyone with no cost. We are indeed blessed. We all should use this gift wisely. thank you Doctor Christine, may your days be wonderful always.
@EigenvectorSeven
@EigenvectorSeven 11 жыл бұрын
Holy poptarts, I've spent hours agonizing over this stuff for an assignment. These online videos always explain it so lucidly.
@biggerthaninfinity7604
@biggerthaninfinity7604 3 жыл бұрын
This is where the power of MIT comes from. I highly respect you. Thank you!!!
@softypow
@softypow 10 жыл бұрын
This was a really really really good explanation. I do not think I could explain this any better. i am just going to play it for my students and fill in any gaps :). You have a new subscriber!
@VineetKumar-wp9yr
@VineetKumar-wp9yr 6 жыл бұрын
It's not her personal channel, She is an instructor at MIT so the video is uploaded by MIT OCW
@nottyprof
@nottyprof 12 жыл бұрын
Just wanted to say thank you for all your videos in Cal II. I had an A in the class by constant practice and your helpful video. I am glad I had You (Christine), Patrick and Krista's videos. Thanks once again and happy holidays.
@sashasafonova4502
@sashasafonova4502 9 жыл бұрын
Loved it when she says "Now, this might not look fun yet..." Of course it looks fun, Dr. Breiner!
@burgenkinger2856
@burgenkinger2856 3 жыл бұрын
The way she gave the lesson is so clear and logical, thanks a lot for this video
@Mikej1592
@Mikej1592 13 жыл бұрын
so perfectly explained, I think I actually understand it a bit better now, thanks so much. My teacher goes so fast, skips steps, abreviates like a madman and most of the time I feel like he is speaking a different language. Worst part he never does examples just explains the theory then throws problems at us and expects us to jump right in and do the work! I need to see it done at least once before I am comfortable doing it, thanks so much for posting this video. very helpful.
@georgesadler7830
@georgesadler7830 3 жыл бұрын
Professor Breiner, this is a great explanation and derivation of Simpson's Rule in Calculus. Simpson's Rule is used to approximate definite integrals.
@Konnoisseur
@Konnoisseur 11 жыл бұрын
Brilliant. I've been looking for a derivation/proof of Simpson's Rule and this has been by far the best explanation I've come across on the net. Christine is better at teaching the concepts than the actual lecturer. Very much appreciated.
@mryup6100
@mryup6100 4 жыл бұрын
I now understand how that formula for simpsons rule cam about! Thank you!
@theodoresweger4948
@theodoresweger4948 4 ай бұрын
Been watching for years now love the way you explained so clear. Thanks
@cho.yongjun
@cho.yongjun 9 жыл бұрын
Simple and neat. Thanks a lot, prof. Breiner! You are my savior.
@cayezara8110
@cayezara8110 3 жыл бұрын
Amazing explanation! Crystal clear!!! Christine you are gifted.😘
@debjitpatra3116
@debjitpatra3116 6 жыл бұрын
Hi ma'am, I'm Debjit Patra from India, you're just awesome professor, after watching this video, I recommend all my friends to see your videos
@TurdFurgeson571
@TurdFurgeson571 6 жыл бұрын
This explanation was not necessary to work with Simpson's approximations, but there's just something special about seeing the machinery like this. Thank you!
@macylai7460
@macylai7460 4 жыл бұрын
Finally! A video explaining how Simpson's rule works. Other videos only explain how to apply Simpson's rule... Thank you!
@asaadsalim8099
@asaadsalim8099 9 жыл бұрын
impressive,our prof just gave us the final expression without even explaining from where did it come I feel stupid when I try to memorize these rules .thank you so much for your astonishing efforts
@4thesakeofitname
@4thesakeofitname 4 жыл бұрын
She has an extremely pleasant and clear handwriting too...
@cena4023
@cena4023 4 жыл бұрын
this is one of the best maths videos ive ever seen. I would've still understood this if i was in high school
@howmathematicianscreatemat9226
@howmathematicianscreatemat9226 8 жыл бұрын
you are fantastic! After just watching it once I sat down in the night befor going to bed and could derive everything myself! You are really a magic teacher! :-) Thanks alot and we are looking forward to seeing more of your great didactic masterpieces! =]
@Luponious
@Luponious 11 жыл бұрын
We just had a lecture on this this very same day and got back from it. Didn't understand crap. I watched this video and I have to say you blew me away, in a great way. I understood what we were doing, where they were coming from and to where we were headed. It's as though I'm discovering prescription glasses all over again! :D
@HimanshuKumar-kl3cc
@HimanshuKumar-kl3cc 4 жыл бұрын
IF you read ..you are an awesome instructor .You made it too easy and too simple to learn ..
@cayezara8110
@cayezara8110 3 жыл бұрын
Excellent explanation!! MIT has the best teacher/s.
@anzatzi
@anzatzi 13 жыл бұрын
very helpful--you don't often see this--i think this wouod have been clearer if cb had defined a general quadrdic p(x) and its integral P(x)-- this might have allowed for a more linier presentation--the joy of youtube is being able to scrub back and forth to clarify
@jellymath
@jellymath 2 жыл бұрын
This is really one of the best explanation videos I have ever watched :O
@malexmartinez4007
@malexmartinez4007 3 жыл бұрын
11:41 "We're getting very close to getting what we want." Didn't know it's so fun to study at MIT.
@DushyanthEdadasula
@DushyanthEdadasula 6 жыл бұрын
Excellent approach. Easiest of all I've seen. But some viewers might think that the formula is valid only when X1=0. It would have been better if it's explained that one can extend the formula for any number of such points on a curve by shifting the origin to the point in between each time, there by finding intergation of the curve between any two intervals.
@b_norhumaira1864
@b_norhumaira1864 4 жыл бұрын
NOW PEOPLE, THIS. RIGHT HERE. IS HOW YOU TEACH.
@pipertripp
@pipertripp 6 жыл бұрын
This was a really nice, straightforward presentation. Well done!
@wtlindsley
@wtlindsley 10 жыл бұрын
Wow! That was like listening to a well-played Bach prelude and fugue. Had no idea calculus could be delivered in such a lovely fashion.
@tanmayff2011
@tanmayff2011 4 жыл бұрын
Best math proof i have understood
@nayeefeesawi1411
@nayeefeesawi1411 3 жыл бұрын
You only one who give more explaing .you have great brain.
@saqifimtiaz573
@saqifimtiaz573 9 жыл бұрын
O Great Tremendous Way Explanation .......I Just wana Wow.....Such Great Style Of teaching i cant forgot ever in my Life.......
@itsflyin
@itsflyin 4 жыл бұрын
Thank you so so much. Your teaching made me so happy to learn Math and this looked like so much fun. Thank you for going everything so detailed with your students and caring about them and their understanding. It means so much to us. (:
@candychen5108
@candychen5108 3 жыл бұрын
Our Calculus professor upload this video on the Internet, I totally understand now
@karankanojiya8197
@karankanojiya8197 9 жыл бұрын
she explains it in a simple manner
@Trackman2007
@Trackman2007 11 жыл бұрын
Thank you Jeanna Friske!
@rodelyriche7922
@rodelyriche7922 6 жыл бұрын
she make the theorem very easy to understand
@OoSpotoO
@OoSpotoO 12 жыл бұрын
Thank you very much, it's explained everything my teacher couldn't!
@davidfelipemarinrosas
@davidfelipemarinrosas 4 жыл бұрын
I'd love to give it like again
@debjitpatra3116
@debjitpatra3116 6 жыл бұрын
And the main attraction is, after finishing the proof, you went back to the problem and again give explanation briefly.
@mohammedlabeeb
@mohammedlabeeb 10 жыл бұрын
You are amazing. my favorite teacher
@Syed-wb8lc
@Syed-wb8lc 3 жыл бұрын
You cleared my concept about composite Simpson's rule. Thank you wish you good luck and keep up the good work 👏👏💖💖
@chezul411
@chezul411 12 жыл бұрын
Nice.... I like that you do little bits of error checking along the way.... i try to emphasise that to students.... doesn't always get through.
@abdelrahmansalah6451
@abdelrahmansalah6451 3 жыл бұрын
it seems that she is empowered professor in calculus thanks a lot
@KristerAxel
@KristerAxel 8 жыл бұрын
This is fantastic. A wonderful explanation for a bit of mathematic sleight-of-hand.
@johnliamten
@johnliamten 13 жыл бұрын
such clear direction. I'm skipping math as I write this because my classes don't even compare.
@musikinspace
@musikinspace 3 жыл бұрын
She sure can teach the hell out of anything
@tylerdurden786
@tylerdurden786 6 жыл бұрын
That was brilliant, a good teacher can take a horrible proof and dumb it down for students to grasp, you did exactly that! :)
@johnleiyagu3349
@johnleiyagu3349 3 жыл бұрын
This is the best explanation. Thank you so much
@flavioing1
@flavioing1 3 жыл бұрын
Very nice teacher and very good explanation.
@ikaroar1
@ikaroar1 4 жыл бұрын
Excelente explicación. Acordar el área entre -h y h, permite simplificar mucho la comprensión de la fórmula.
4 жыл бұрын
No wonder great explainers like Feynman and Sal Khan come from MIT.
@makaaylukumay1064
@makaaylukumay1064 3 жыл бұрын
I thank my lectures.
@DrLasker1
@DrLasker1 13 жыл бұрын
thank you MIT!!
@mementoaura
@mementoaura 7 жыл бұрын
Very straightforward explanation! Thank you :)
@cliumay9
@cliumay9 13 жыл бұрын
6:58 why Ax^3/3+Bx^2/2+Cx jump to 2Ah^3/3+2Ch
@ryan2t002308400
@ryan2t002308400 13 жыл бұрын
i swear, rutgers doesn't teach me crap. i love this video.
@avral4148
@avral4148 4 жыл бұрын
Simple method with great Mind...
@utsavutsav5552
@utsavutsav5552 3 жыл бұрын
Beautifully explained
@mrcellophane226
@mrcellophane226 4 жыл бұрын
u must be a god! i mean u really understands math not just saying numbers and symbols but u can see what behind that
@hariigaire
@hariigaire 7 ай бұрын
I find perfect video. Thanks MIT
@andrewlamboff4802
@andrewlamboff4802 3 жыл бұрын
Amazing professor, thank you so much!
@fatimahosman7476
@fatimahosman7476 3 жыл бұрын
Vay...vay...vay...vay .....bravo Dr.Breiner
@naman4067
@naman4067 2 жыл бұрын
Wow great explanation I never say that often.
@asznman
@asznman 13 жыл бұрын
@OpenTheTrollGate it didnt turn into h/3(2Ah^2+4c). it became h/3((y0)+(y2)-2(y1)+6(y1)) since she substituted the 2Ah^2 and C
@elsbbbb1
@elsbbbb1 4 жыл бұрын
Thank you ,that was a very clear explanation.
@postbodzapism
@postbodzapism 8 жыл бұрын
I think Simpson's rule is originally a result of Archimedes plus area of trapezium
@kkrkkr7510
@kkrkkr7510 6 жыл бұрын
Very energetic and nice professor
@debasmitade3474
@debasmitade3474 5 жыл бұрын
Wow..this is the best tutorial to understand Simpson's and how it works..Addition of Composite Simpson's would have made it more useful ..Thanks xx
@hovhanneskostandyan8015
@hovhanneskostandyan8015 Жыл бұрын
I'm glad to see more and more women in stem professions Go girl!!!!!!!
@B38132
@B38132 4 жыл бұрын
She is indeed a very bright woman.
@abdelhalimriah8133
@abdelhalimriah8133 4 жыл бұрын
Thank you very much. you professor made it easy to understand. Thanks again.
@edwardkinyua6023
@edwardkinyua6023 10 жыл бұрын
Very very helpful. simple and worth while.
@libertyomasanjuwa1136
@libertyomasanjuwa1136 3 жыл бұрын
Excellent Teacher. Please Kindly keep it up.
@Bdcorpuschristi
@Bdcorpuschristi 8 жыл бұрын
Thank you; this issue nhas been nagging my intuition for years. I can now put it to rest.
@stewartwright4887
@stewartwright4887 9 жыл бұрын
Great explanation
@gomemego3417
@gomemego3417 5 жыл бұрын
thank you for this fruitful explanation
@MarkDC734
@MarkDC734 10 жыл бұрын
she sooo coooool!
@sabatonchik
@sabatonchik 13 жыл бұрын
@PmQable1 whatever, she put it perfectly together, much better than my professor, so i don't care
@four-s3194
@four-s3194 Жыл бұрын
Amazing lesson, but what about the coefficient of 2 in between the 4s?
@syamnanungoemar5417
@syamnanungoemar5417 3 жыл бұрын
Thanks for the explanation.
@enyewtariku162
@enyewtariku162 12 жыл бұрын
rely, I can not express your lecture.thanks a lot.
@TopOyster
@TopOyster 5 жыл бұрын
Thank you for the refresher! 👏👏👏
@hosaamalama7820
@hosaamalama7820 5 жыл бұрын
I loved this explanation; I really needed some way to explain the rule. Yet I don't get how come the power rule did not result in a constant after integrating the quadratic function.
@alexung2897
@alexung2897 6 жыл бұрын
Thank you for making mathematic so fun and understanding!
@truthjunkie3
@truthjunkie3 3 жыл бұрын
I'd prefer if you didn't start with the answer and try to work your way back as a goal. Just solve it and reduce it to come up with the rule.
@francisdrake7000
@francisdrake7000 4 жыл бұрын
pure magic my friends
@AJ-et3vf
@AJ-et3vf 2 жыл бұрын
Awesome video! Thank you!
@oss4387
@oss4387 10 жыл бұрын
a great explanation, thanks.
2 жыл бұрын
Maravillosa explicación...
@mistervoldemort7540
@mistervoldemort7540 7 жыл бұрын
Perfectly well explained, thanks
@NguyenThanh-xt3yi
@NguyenThanh-xt3yi 2 жыл бұрын
thank you for this explanation
@adityatile1168
@adityatile1168 4 жыл бұрын
Awww, her smile is so cute :)
@BigHeartBreak93
@BigHeartBreak93 8 жыл бұрын
That was a great example of teaching:) Thank you a lot!
@absurdite657
@absurdite657 2 жыл бұрын
what would have I done if mit did not release the lectures in youtube
@aminlakzian
@aminlakzian 8 жыл бұрын
I really needed this. thanks
@yangmingguan8953
@yangmingguan8953 5 жыл бұрын
Thanks for the explain the details.
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