37:24 . 'All you had to do was call something by a sanitary name, and no matter how horrible it was, good bourgeois people would accept it.' The professor's humor really makes the course more interesting to learn!
It's awesome that he has taken the time to make some of the problems as interesting as probably possible. To think he shows so much energy and interest in the material at this age too. He out does my 30-something professor in enthusiasm, imagination and effort.
Great professor . Thanks MIT . I feel the professor explains the ODEs as a very simple course for him . I think he teached other very complicated courses . In this lecture , the prof made me very impressed with what he introduced about DEs and its geometrically behavior .. Really it is magic !
Racing through these lectures. Nice to note a few students applauding at the end. It's not often done, it's always the sign of a really great maths lecture.
Very efficient way to sketch the solution curves. The book(EP) makes it so complicated. The book expects you to draw solution curves by either solving differential equations or using computers but with his method, you can draw those solution curves so easily without doing any of that.
Professor Mattuck than you for another wonderful lecture on First-Order Autonomous ODE''s: Qualitative Methods and it's applications. The applications of these topics are excellent.
the first lecture comments were full of complaints about quality but now only appreciations shows how this professor and math are video quality independent
Just thought I'd make a note about the logistic equation he put on the board, I noticed it had the form of a Bernoulli equation and so I solved it using that method. That method did not require partial fractions.
Wow, this is a mind-blowing lecture. At the end, I think we can relate to fertility rates, where if goes below a certain threshold, we say it is below the replacement threshold..
26:35 ok so i tried to solve it by dividing with y^2 put it in standard linear form change variable to v = 1/y calculate the I.F. = e^at multiply BOTH sides with the I.F. integrate and i got something like y = (a*e^at)/(b*e^at + c) where c = a*C what did i do wrong here? tried to do it 2 times this way and got the same ans.
This lecture is so old.. That many of the students here are 80s kids.. 😂 This is the only lecture series on UA-cam where students are actually older than I am
Just letting you know, the lecture notes on the ocw website don't correspond to the correct lecture numbers. The notes for this one are listed as lecture 8
All videos published before 2007 were originally quarter screen RealMedia files. No edited masters were saved. To make these higher quality would require us to re-edit them. We currently prioritize new videos over old, so these will probably not be re-edited anytime soon.
So we can build a spaceship with population a/b and expect it to maintain it's population number for eternity which will make it easier to calculate the amount of renewable resourses needed.... for eternity XD XD
37:24 . 'All you had to do was call something by a sanitary name, and no matter how horrible it was, good bourgeois people would accept it.' The professor's humor really makes the course more interesting to learn!
It's awesome that he has taken the time to make some of the problems as interesting as probably possible. To think he shows so much energy and interest in the material at this age too. He out does my 30-something professor in enthusiasm, imagination and effort.
probably in salary too
This professor is fantastic.
Thank you for these wonderful lectures. Prof. Mattuck is a wonderful instructor
Great professor . Thanks MIT .
I feel the professor explains the ODEs as a very simple course for him . I think he teached other very complicated courses . In this lecture , the prof made me very impressed with what he introduced about DEs and its geometrically behavior .. Really it is magic !
best lecture series ever. i'm struggling with this at my uni and all the books mention concepts i didnt know. the prof makes things so easy
Racing through these lectures.
Nice to note a few students applauding at the end. It's not often done, it's always the sign of a really great maths lecture.
Very efficient way to sketch the solution curves. The book(EP) makes it so complicated. The book expects you to draw solution curves by either solving differential equations or using computers but with his method, you can draw those solution curves so easily without doing any of that.
This lecture is FANTASTIC!!! It literally just clears up all my confusion from our teacher's lecture:)
This professor is absolutely wonderful. Everything makes sense. I wish I have him as a professor than the professor I have now.
Professor Mattuck than you for another wonderful lecture on First-Order Autonomous ODE''s: Qualitative Methods and it's applications. The applications of these topics are excellent.
I feel like I should be taking notes.
For people concerned about the lecture notes not matching up, there's a PDF Table of Correspondences on the MIT OCW page for this course.
-dlj.
also thanks to all of mit team
the first lecture comments were full of complaints about quality but now only appreciations shows how this professor and math are video quality independent
Good Job Professor
Just thought I'd make a note about the logistic equation he put on the board, I noticed it had the form of a Bernoulli equation and so I solved it using that method. That method did not require partial fractions.
oh my gosh, that lecture was wonderful
This guy is so cool! Great teacher, and it was deadly when he was talking about harvesting.
Teaching at its best!
"If you are ignorant about what else to do, stick with the simplest. At least you won't work any harder than you have to" - Prof. Arthur Mattuck
Sir you are simply the best!!
this was wonderful
This guy is so good
34:17 Never Gonna Hit Those Notes
"Once again a day of solving no differential equations"
That's a sad day.
He and Walter Lewin sound like a dream team
oh Arthur, right in the feelings again.
thanks prof arthur u r realy the best
Wow, this is a mind-blowing lecture. At the end, I think we can relate to fertility rates, where if goes below a certain threshold, we say it is below the replacement threshold..
its not y its f(y) thats defines the direction field. so f(0) does not necessarily equal 0.
26:35 ok so i tried to solve it by
dividing with y^2
put it in standard linear form
change variable to v = 1/y
calculate the I.F. = e^at
multiply BOTH sides with the I.F.
integrate
and i got something like
y = (a*e^at)/(b*e^at + c) where c = a*C
what did i do wrong here? tried to do it 2 times this way and got the same ans.
This lecture is so old.. That many of the students here are 80s kids.. 😂
This is the only lecture series on UA-cam where students are actually older than I am
Please process the videos with a CNN that puts it in HD
Isn't the logistic population model a Bernoulli ODE? Why use separation of variable?
Econ teaches you that even maximum harvest is too much
Just letting you know, the lecture notes on the ocw website don't correspond to the correct lecture numbers. The notes for this one are listed as lecture 8
awesome!
Can we get this in HD? Pleeeeeeeeeeeeease?
All videos published before 2007 were originally quarter screen RealMedia files. No edited masters were saved. To make these higher quality would require us to re-edit them. We currently prioritize new videos over old, so these will probably not be re-edited anytime soon.
Why do you prioritize new over old, shouldn't you edit videos based on view rate?
I will edit them for free, you guys are underappreciating your own material.
If you can't learn from these excellent videos, you won't learn from higher-res videos. People used to have to do without videos at all.
rip salmon
great lecture though
37:25 jajajajjajaj cant belive he really said that.
So we can build a spaceship with population a/b and expect it to maintain it's population number for eternity which will make it easier to calculate the amount of renewable resourses needed.... for eternity XD XD
they even clapped for him at the end haha.
picture quality is poor
10:43 Anotha one
If the population starts at 1 it will decrease as well!
Why are the lectures in this kind of RANDOM order? in the list here ua-cam.com/play/PL64BDFBDA2AF24F7E.html