Max and Min and Second Derivative

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  • Опубликовано: 7 окт 2024

Комментарии • 195

  • @tomscik1965
    @tomscik1965 8 лет назад +184

    MIT courses are not about teaching simple things in a complicated way which ordinary ppl do not understand. It is about teaching complicated things in a simple way where ppl get an extra 'dimension' of understanding. THank you Sir for an excellent lecture and thanks to MIT initiative to provide these courses online for rest of the world.

  • @111smily111
    @111smily111 4 года назад +24

    I got really emotional seeing Professor Strang talk. Seeing a person devoting a lifetime to math and teaching itself is touching and inspiring.

    • @lewis6825
      @lewis6825 Год назад +3

      I have had the same reaction, actually. Btw he just recently retired at age 88. End of an era.

  • @nishantshankarkhan4879
    @nishantshankarkhan4879 6 лет назад +18

    This is called a genius because I don't know about others but this presentation is massive and therefore you are the teacher of MIT.Thanks a lot.

  • @Hiyrustrider
    @Hiyrustrider 11 лет назад +6

    This wasn't even part of what I was looking for but I watched the whole thing, I enjoyed this lecture because he's a great Prof.

  • @ajayupy
    @ajayupy 4 года назад +5

    It's like watching a superhero of calculus at it's best. Thank you, Sir!

  • @Venturebits
    @Venturebits 3 года назад +7

    Amazing how Professor Gilbert can explain the key ideas clearly. He is by far the best teacher I ever had. A lot of the concepts he explain I usually learned them by memory now I can see the big picture.

  • @mayurkulkarni755
    @mayurkulkarni755 7 лет назад +33

    34:02 "Drive at a 30 degrees, hope there's a road going that way. Sorry about that point" LOL this guy is genius and funny at the same time :D

  • @ingeborgsvensson4896
    @ingeborgsvensson4896 6 лет назад +3

    I wish I had had a teacher like Strang in high school. The example of the way to drive to MIT are great ways to explain why you would use these derivatives in real life. Great course! Thank you.

  • @NothingMaster
    @NothingMaster 5 лет назад +5

    Strange truly deserves a Medal of Honor of sorts for his monumental contributions to the advancement and dissemination of mathematical knowledge and intuitions in these MIT series. The Internet has created a whole new and accessible dimension of learning not available to the previous generations of students.

  • @ninomatcharashvili9739
    @ninomatcharashvili9739 6 лет назад +9

    I have been studying from you sir the main topics in calculus, thank you!

  • @saiprakashhadnoor3987
    @saiprakashhadnoor3987 4 года назад +3

    No words for this man's teaching.Really loved it.

  • @LuisMunozCompScience
    @LuisMunozCompScience 12 лет назад +4

    Thanks. One of the most simple, and brilliant explanations regarding this subject.

  • @georgesadler7830
    @georgesadler7830 3 года назад +1

    DR. Strang thank you for another excellent lecture on classical selection of max and min problems in calculus.

  • @maelena14
    @maelena14 13 лет назад +5

    God bless you Mr. Strang!! Thank you very much for your efforts...
    I am taking a second look at calculus as I prepare for graduate school and your videos have been most helpful! Thank you!!!!!!!

  • @zyxwvutsrqponmlk2000
    @zyxwvutsrqponmlk2000 13 лет назад +1

    This is a Hats off to the Calculus Master. Durring my engineering this was just a night mare. I now love calculus after viewing the three parts of this vedio series. Thanks to you.
    To increase the reach to remotest areas of the world there are lots of breakages that happen during the sessions. It would be good if these vedios could be available for lower bandwidth connections too.
    A BIG THANK YOU!

  • @silkieshag9703
    @silkieshag9703 6 лет назад +3

    excellent explanation, you could be in a regular university, but you could watch classes from the best teachers in the world. Thanks MIT

  • @aryaanpetiwalla2655
    @aryaanpetiwalla2655 3 года назад +1

    I saw concave and convex curves, and thought this lecture might be too difficult for me. Then, he explained it so easily and well, and I’m very satisfied having watched this. Thanks a lot!

  • @sajidalishah2653
    @sajidalishah2653 4 года назад +1

    No Matter what Technology advances, need of such brilliant teachers will always be felt

  • @zarsblackhorse123
    @zarsblackhorse123 5 лет назад +3

    I never thought i could finish this 38mins video lecture. but once i started to watch its really hard to close the video. Thank you for this excellent lecture Sir and also thanks to MIT for this initiative.

  • @saisaske1
    @saisaske1 4 года назад

    The maxima of "like" function for this video is infinte. This video kept on giving me "aww" moments. Thankyou sir. I always wondered why we need to take the derivative of x and assign to 0. I will always be indebted to you.

  • @nashabusmani3220
    @nashabusmani3220 5 лет назад +1

    Most beautiful way to define double derivative test. Hats off to you sir.

  • @vinodsah8330
    @vinodsah8330 4 года назад +1

    What a teaching style

  • @Zwide97122
    @Zwide97122 Год назад

    Doing my masters in Econ Science and I still come to watch these intuition classes by Prof Gilbert.
    Legendary!

  • @solvability2782
    @solvability2782 2 года назад +3

    Thank you, professor. This is amazingly clear.

  • @zyxwvutsrqponmlk2000
    @zyxwvutsrqponmlk2000 13 лет назад

    This is a Hats off to the Calculus Master. Durring my engineering this was just a night mare. I now love calculus. Thanks to you.
    To increase the reach to remotest areas of the world there are lots of breakages that happen during the sessions. It would be good if these vedios could be available for lower bandwidth connections too.
    A BIG THANK YOU!

  • @2fluffybunnies
    @2fluffybunnies 11 лет назад +1

    Holy cow, 38 minutes with you on RUclips did more good then 2 hours with the book. THANK YOU SO MUCH

  • @laldinpuiarenthlei7615
    @laldinpuiarenthlei7615 7 лет назад +35

    hats off for gilbert strang

  • @laurenmarzlock3419
    @laurenmarzlock3419 7 лет назад +1

    I love calculus, It is great exercise for the brain. I love the logic and the patterns.

  • @TheFirstBK
    @TheFirstBK 11 лет назад +2

    Thank you very much Dr. Strang, wish I had you back when I took calculus.

  • @nemanihanumantharao7439
    @nemanihanumantharao7439 6 лет назад +2

    the greatest calculus teacher in the whole wide world

  • @renaeneufeld
    @renaeneufeld 8 лет назад +2

    Thank you for this video!! Very well done. I understand soooo much better.

  • @Tzvetkov
    @Tzvetkov 7 лет назад +21

    "And there's a sign of hope. It started bending up."

  • @FordBurden
    @FordBurden 12 лет назад

    Thank you! I am doing a condensed 8 week course that is kicking my ass and this is making it all "tangible"!

  • @abdalrahmanshaddow6121
    @abdalrahmanshaddow6121 4 года назад +3

    this man play beautiful mathematical music ,
    the exact definition of deep learning

  • @micahbrill
    @micahbrill 11 лет назад +1

    I really enjoy your videos. You're helping me through my Business Calculus class at Brockport College this semester.

  • @Oneeightseven6
    @Oneeightseven6 6 лет назад +1

    This man, has explained this very well!! Thank you for this video!!

  • @Amine-gz7gq
    @Amine-gz7gq 2 месяца назад

    This video/topic is important to understand the Laplacian in multivariable calculus

  • @skoolwal3874
    @skoolwal3874 9 лет назад +1

    Excellence and hard work personified!!

  • @shibsankarbera9218
    @shibsankarbera9218 8 лет назад

    nice lecture ...really I highly influenced ....because of its simplicity and graphical interpretation......

  • @nandakumarcheiro
    @nandakumarcheiro 4 месяца назад

    The first and second derivative as combination of zero positive and negative bending as it oscillstes between convex and concave planes differentiated by that an be applied in digital communication developed by Nyquist further developed by shannon where the basic first and second derivative as otherwise may be a function of basic digital functions. Inspired by MIT course offered by this professor.
    Sankaravelayudhan Nandakumar

  • @arjunch2755
    @arjunch2755 5 лет назад

    this videos are enough for gate exam without practice,i love this lectures

  • @sanjeevmadan2610
    @sanjeevmadan2610 4 года назад

    Many thanks, you are excellent, so simple so clear

  • @KarlSmithByrne
    @KarlSmithByrne 13 лет назад +1

    'If I knew where we were (22:58) mathematics would even more useful than it is...which would be hard to do!' This guy is fantastic.

  • @mj6637
    @mj6637 7 лет назад +1

    Great work, Professor!

  • @nandakumarcheiro
    @nandakumarcheiro 4 месяца назад

    The triangulated surface in modili form is derived at in between maxima and minima around the point of inflection in between with increase in frequency of transition as applicable entropy equation in understanding the hydrogen attraction and repulsion in boson gas as a function of interactive magneticfield over electricfield as Hall's interpretation. A definition on electron gap in between atom and nucleus could be arrived at the interpretation of first derivative and sevond derivative based on the sign of the sevond derivative
    Sankarabrlayudhan Nandakumar.

  • @LAnonHubbard
    @LAnonHubbard 13 лет назад +1

    Thanks Professor Strang.

    • @user-qj4zr1pj9y
      @user-qj4zr1pj9y 2 года назад +1

      Do you stil remember what you have learned from these lectures ? 😄

    • @newbarker523
      @newbarker523 2 года назад

      @@user-qj4zr1pj9y Hi. I was the original poster (though have a different account now). Yes, I still remember what the lectures taught me. Probably because I have found it useful in my job. Maths (I'm from UK) is awesome!

    • @user-qj4zr1pj9y
      @user-qj4zr1pj9y 2 года назад +1

      @@newbarker523 Good for you !! Yaa Maths is awesome when you learn from Gilbert.!!

  • @MISERSTYLE
    @MISERSTYLE 11 лет назад

    This guy is an amazing teacher.

  • @alias40anon
    @alias40anon 6 лет назад

    Very good point to point explanation

  • @ankushpatil9039
    @ankushpatil9039 6 лет назад

    I can't resist to myself to watch these explanations.

  • @thebaniyabox8147
    @thebaniyabox8147 12 лет назад

    if i could afford the mit's fees i definitely would have been a part of that institute which is the best in the world.

  • @andreranulfo-dev8607
    @andreranulfo-dev8607 3 месяца назад

    Pure gold!

  • @mohfa1806
    @mohfa1806 8 лет назад +1

    Sorry i should have watched the last 40 seconds to know the answer to my silly question now :)..the answer is there....great video and wonderful lecturer

  • @nandakumarcheiro
    @nandakumarcheiro 2 года назад

    The oscillation becoming bending down convex and bending down a concave with inflexion point at which the sign of bending oscillate between concave and convex producing positive and negative energy.

  • @choungyoungjae8271
    @choungyoungjae8271 7 лет назад

    thanks for graphical explanation.

  • @elamvaluthis7268
    @elamvaluthis7268 4 года назад

    Very nice explanation.superb.minutest of minutest study is knowledge.h ow?how?every thing is from mind.Mind is full of equation.while going to bed you must shake your head violently then only equations shall fall down you will get sleep.

  • @kglayyet
    @kglayyet 12 лет назад

    Thank you so much for uploading these courses..

  • @jrmom4u
    @jrmom4u 6 лет назад

    Appreciated with impressive lecture!

  • @Khwartz
    @Khwartz 7 лет назад

    Really Very Nice Smooth Teaching :)
    Btw, been French, looks to me that the French name for calculus is way much meaningful as it is "analyse" (analysis), which is about "cutting in (little) peaces" etymologically, which goes very well imho with the concepts of "dx" and "dy" :)

  • @erikandresgarciavillarroel3005
    @erikandresgarciavillarroel3005 6 лет назад

    Thanks a lot for sharing your knowledge!

  • @Doug19752533
    @Doug19752533 8 лет назад

    Prof Strang is COOL! love the videos

  • @nandakumarcheiro
    @nandakumarcheiro 4 месяца назад

    The conflection points becomes the square comfogurstoon points pave the way for basic figitsl numbers while denfing the pulses in between zeros and ones in signal sending in computstionsl digitsal mathematics.

  • @MsManoodle
    @MsManoodle 10 лет назад +2

    this guy is great!

  • @pettyjames7
    @pettyjames7 8 лет назад

    Thank you, great job explaining.

  • @lauras.9757
    @lauras.9757 6 лет назад

    Great lecture Prof - thank you!
    Thanks MIT!!
    I love me some ♡Calculus♡

    • @lauras.9757
      @lauras.9757 6 лет назад +1

      I have now attended Walter Lewin's Physicd class, Susskind at Stanford and Yale Physics and now Mathematics at MIT!
      I am thrilled to learn from the greatest lecturers/ professors of the day - this is an opportunity I would not have otherwise and it means everything to me. I've learned so much!
      My sincerest gratitude to you all for these lessons.

  • @eleonoraformatoneeszczepan8807
    @eleonoraformatoneeszczepan8807 3 года назад

    MIT OpenCourseWare
    Max and Min and Second Derivative
    'Professor Strang
    Chapters.
    The Second Derivative: The derivative of the derivative.
    Subtitles: Jimmy Ren.'
    2:10 min ... acceleration
    2:56 min ... Newton's Law, F = ma

  • @nandakumarcheiro
    @nandakumarcheiro 2 года назад

    The combustion graph follow a sin and cos curve follow maximum and minimum.

  • @ghanshyammishra5297
    @ghanshyammishra5297 7 лет назад

    best explanation

  • @zensorrow1
    @zensorrow1 11 лет назад +25

    "Why move myself 20 miles to MIT when I can, with a click of the mouse, move not 20 inches and absorb the same knowledge."
    ~The wise musings of an unemployed student drowning in debt

  • @nandakumarcheiro
    @nandakumarcheiro 2 года назад

    Thus maxima and minima points with combustion inflexions follow a sine curve and cos curve.

  • @neilchakr
    @neilchakr 3 года назад +1

    how. do. you. explain. so. well.

  • @SydiusVideo
    @SydiusVideo Год назад

    Thank You!

  • @Joe11Blue
    @Joe11Blue 8 лет назад +5

    The good Dr. needs to switch to de-caf. Excellent presentation.

  • @PabstOut
    @PabstOut 12 лет назад

    divide x on both sides (3x^2)/x=(2x)/x,
    then simplify to get 3x=2,
    then divide each side by three to solve for x, x=2/3

  • @FallenSparrowNz
    @FallenSparrowNz 11 лет назад

    you can only do that if the formula for the equation is in the form ax^2 +bx = 0
    in this form we can presume that one anwer has to be zero, and it is simple algebra to find out the second number. You would have not seen this very often because most equations we work with are in the form ax^2 + bx + c = 0 this c value muddles it up and means you can not do what he did.

  • @AnkushSingh-kj1zl
    @AnkushSingh-kj1zl 6 лет назад

    Nice lecture 👍👍👍

  • @storaman12
    @storaman12 13 лет назад

    Thank you

  • @horizonbrave1533
    @horizonbrave1533 5 лет назад

    @ 8:56 spoken like a true Mathematician!

  • @tyrokell1
    @tyrokell1 11 лет назад

    you are brilliant! thanks a lot mate

  • @allenk7635
    @allenk7635 6 лет назад

    Thanks!

  • @chancewatkins5071
    @chancewatkins5071 8 лет назад +1

    Love this, I've subscribed. Thanks for sharing; Jesus Christ Bless

  • @jayadrathas169
    @jayadrathas169 9 лет назад

    Good one bruh..was a bit skeptic at first due to,too much fidgeting of yours...but the last problem was cool

  • @qzorn4440
    @qzorn4440 6 лет назад

    what's up doc? a very relaxing informative lecture. thanks. B+)

  • @user-ny1vt3ek4i
    @user-ny1vt3ek4i 7 лет назад

    Thank you!!

  • @kaventhwe
    @kaventhwe 11 лет назад

    this stuff helps thanks

  • @HypnotizeCampPosse
    @HypnotizeCampPosse 11 лет назад

    No kidding, it looks like the biggest problem with getting a good professor is getting one that's not arrogant, presents the facts in a logical way and the best professors will incidentally get you to use the best practices without even having to stress it.

  • @gdogvibes1
    @gdogvibes1 11 лет назад

    Thanks.

  • @lowersaxon
    @lowersaxon 5 лет назад

    First class teacher.

  • @yuzheng3091
    @yuzheng3091 11 лет назад

    thank you so much!

  • @yixiaohuang4148
    @yixiaohuang4148 2 года назад

    Great example, but If the b was to be smaller than x then there should be an "absolute value sign" on the right side, because one cannot lessen the time by driving backwards, right?🙂 But this wouldn't matter since it always take longer to overshoot and drive back.

  • @JanBuatim
    @JanBuatim 14 лет назад

    i could say the same as zik667, my teacher had a post doctor at a french institution at math teaching and still hadnot that good didactics. MIT rules, i wish i could study over there. Im brazilian and i have my engineer course at UFSC - Santa Catarina Brazil

  • @surajyergude
    @surajyergude 5 лет назад +1

    Will you help me how did you get to the 30 degrees?

  • @mahmoudeldesokey147
    @mahmoudeldesokey147 6 лет назад

    The best👌

  • @changtillend5718
    @changtillend5718 3 года назад

    Grate...

  • @donaldmaase776
    @donaldmaase776 9 лет назад +9

    Interesting he talks about inflection point in the US economy in 2010 and thinks we might be turning around (as an example).......it has now happened...........:-)

    • @lauras.9757
      @lauras.9757 6 лет назад +1

      Check out the Elliot Wave Theory to see some beautiful market behaviour analysis and predictions. Calculus, fractals, wave theory... sexy stuff. :)

  • @Hanzalayt-yn5vo
    @Hanzalayt-yn5vo 10 дней назад

    Wowwwww!!
    Great 👍👌👍👌👍👌👍👌👍

  • @taimoor722
    @taimoor722 12 лет назад

    thanks u sooooooooooooo much

  • @D0g63rt
    @D0g63rt 12 лет назад

    That's true everywhere except when x=0 so you have to be careful doing that.

  • @akshayv2849
    @akshayv2849 4 года назад

    What's the name of this wonderful teacher

    • @mitocw
      @mitocw  4 года назад

      Gilbert Strang

  • @narasimharaotogata9301
    @narasimharaotogata9301 3 года назад

    🙏 మీరు చేస్తున్న సేవకు ధన్యవాదములు🙏

  • @LenaIvanovak
    @LenaIvanovak 12 лет назад

    great! Thank you!)