Lec 8: Level curves; partial derivatives; tangent plane | MIT 18.02 Multivariable Calculus, Fall 07
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- Опубликовано: 25 авг 2024
- Lecture 08: Level curves; partial derivatives; tangent plane approximation.
View the complete course at: ocw.mit.edu/18-...
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu
MIT professors teach like their students have no background knowledges, and my professors assume I have learnt all shit already in High school
@narak leduop not cheap schools but with the worst education system
@CAVEMAN these bots are surprisingly common especially in stem channels, idk how youtube hasn't noticed yet.
Exactly! And they also jump from one thing to another, and students fail to understand the connection.
I feel you
this guy is really good at the 3D drawings
Trigonometry for AS and A level student ruclips.net/video/-WzZRx4vVxI/видео.html
Subscribe please
Sal Khan is the goat at it but he's good too
MIT students are smart and know they are being taught by a great professor here. They even applaud when he figures out the blackboard buttons.
Much easier to understand now that I have a second person explaining it, what a great professor! Also helps that I can rewind and listen however many times I want :p.
Yup. I also wish I had that professor.
Hey you look like Sheldon
this guy is a master chalk operator
Trigonometry for AS and A level student ruclips.net/video/-WzZRx4vVxI/видео.html
Subscribe please
@@Dawatehaq786 bro shut up
these kids applaud at the strangest things
seems you haven't been to college
@@ddude957 I have and we don't typically applaud the professors
Trigonometry for AS and A level ruclips.net/video/-WzZRx4vVxI/видео.html
Subscribe please
meh im a 9 year old
Thank you MIT for posting these excellent courses online! The professors are great! The lectures are very well done!
I love MIT so much for all of these free lectures. I have watched all of physics, this and electronics and circuits.
So would I.
Jesus Christ he's great at teaching. I now understand the difference between spending $50,000 per year and $10,000 per year. At least they're paying for the tuition so I get to watch these videos for free.
All these videos are REALLLY REALLY helpful. Thank you so much, MIT!
One of the reasons I truly like this awesome teacher is he always erase three pieces of blackboards in a row, so I get a chance to skip
That sine graph is amazing.
Incredible lecture. Professor Denis Auroux is brilliant. He says his drawings on the board aren’t on point but they are way beyond great.
Phenomenal lecture. Merci beaucoup Professor Auroux!
Thanks to MIT for posting this and other math videos. For a math hobbyist these videos are an excellent resource for deepening the knowledge about math. Prof Auroux is really awesome.
This is the best teacher I ever seen. :D
Wow , Wow ! What an amazing explanation ... i felt like Multivariate Calculus is very easy as opposite of usual
I Really Like The Video From Your Level curves; partial derivatives; tangent plane approximation
just in-case anyone was wondering the program he used to generate those parabola is 3D-XplorMath its a really fun program relatively easy to use its even how i generated my display picture :)
thnx a lot that was really helpful :)
i appreciate this guys 3D drawing skills
and the sidewalk chalk is a great idea. I sit in the second (out of 4) row in my calc 3 class and often can't tell what is being written on the green board. also green boards are a terrible idea.
Spivak's calculus might be to confusing for someone that's starting, but is an awesome book.
omg.... I know this is stupid, but I have to say it. That movable board is awesome man!!! Go MIT!!!
Randomly clicked this magical vdo this could be turning point of my life
your teaching is supper, sir, i never see before such knowledge any professor
lifesaver and im going to cross register every math class at mit. dont know why my professor assume im smarter than mit students
I'll add this to my watch later list, because I am going to need this when I do Mathematical Methods at UWA next year.
I don't think so. They say they will but they never come back.
@@maxsash I ended up getting a phd bitch
god please name lectures by the topics!!!!
+Ishan Dave Sorry, all of our early videos are titled like this (thousands of them, so the odds of us going back through to change them aren't very high). We changed how we named them starting in 2012. To get a list of topics, see the course on MIT OpenCourseWare at: ocw.mit.edu/18-02F07.
***** please there is no need for sorry.I am under great debt from professors from MIT especially professor walter lewin he is my favorite professor of all time he came to my college last year I am sad that I didn't have the chance to meet him.
Jesus dude, learn how to spell.
I edited the comment ,seems fine to me now English is not my first language.
ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/
he is a legend
thanks MIT
That's some nice handwriting.
This was so enlightening!
Awesome videos. Just to let everyne know, you can donate to the open course ware through their website. Also, you can buy books through amazon where MIT gets money. I dontated because I really believe in what they are trying to achieve.
It's a great video because I can review what I learned this year
I feel so fucking lost during my calculus class, and enlightened right away after watching this video. THANKS SO MUCH!
Thank you MIT ❤️❤️❤️
such an awesome professor. MI,T could you also upload single variable calculus lectures from him. The one you have, right now, is very confusing.
I can't see what you mean. Prof. Jerison is fricking great.
Strongly disagree, Prof. Jerison did a great job in my opinion.
Why does everybody hates Taylor's Series.They are a live saver and allow you to do so much with a little work.
Basics of vector calculus understands properly.
This is helpful ❤️🤍
Great Lecture!! Helped me a lot.
Thanks ❤🤍
Amazing pedagogy
Ok now we understand x axis when plotting against y axis is actually looking at an object from the top..
If we add the z axis we can understand that object little bit more
Great lecture but itd be cool if the camera movenment is less. He writes reasonably clear and very neat. Great prof too
This is fantastic, very clear explanations. I'm currently taking Calculus 3 in Summer session and I work a full time (40 hours per week) so I have no life... well Calc 3 is my currently life. But I love it
Thanks this is very helpful, my fav teacher :D
Well, goodbye to my old calculus teacher!!! Welcome MIT!!!!!!!!!!
This helped me a lot!
Brilliant stuff.
great lecture
41:26 differenti-able :D
5/5
That dude sure can draw a sin curve.
Very nice.
How I would wish to stay at MIT studying right now
Thanks sooo much!!
This is what we learn in 4 classes of same length
You still have to admit...it is cool, common or not...it. is. epic.
I hope most of you noticed that at 42:21 we were dealing with a "toilet function" ;)
+Mei Yifu I guess someone didn't notice ^^
+Mei Yifu look at how the function is drawn.
+Mei Yifu :D
this math is old good night stories for me now. I am quite far in my masters now, physics.
I just couldnt resist commenting about it at the time ^^
+Mei Yifu Yes, in minimum period. I started in Summer Semester 2013, wanna see my grades? I have 3 and half years of them :)
Arrr, finally I found a key to understand multivariables! My lecturer is just screwing it up! I couldn't understand it even I study by myself. Is worth a waste of 46 minutes on watching this recording!
44:42 "Applied math is just physics with different notation" LMAO
im doing distance learning and this guy is saving my ass.
you cant imagine how hard is to learn calculus 2 from a book ! (or BAD book).
Its easier for me to hear this french talking in english than to read the book which is written in my mother tongue (spanish), so figure it out !
thanks dude !
things are now getting exciting :P vectors are bleh
Hes really good at explaining, not like my professor :
Are graphs build in Mapple? Recognized the commands, that were used
Is Taylor really that unpopular? (@ 38:20)
We tend to use 'taylor' as a verb: "Doesn't integrate? Just taylor that shit."
In a previous lecture the whole class gasped when the professor mentions Taylor series. So it's coming from there.
What graphing program were they using to plot the graphs and contour plots?
The course occasionally relies on a series of specially written interactive math applets ("mathlets"), which let you visualize and experiment with various concepts seen in lecture. See the course on MIT OpenCourseWare for the mathlets and more course materials at ocw.mit.edu/18-02F07.
If I don't get any point in a small region of topographic map of a mountain, it indicates there is no peak . Is this true ??
@hellomate639
Good for you and your university. :)
At 43:46, what if you chose a different slice in the xz plane? Wouldn't df/dx change because you would get different curves? Or, would all the curves be the same general shape: a parabola, making it not change after all? Thanks.
If u take horizontal slice for z=c the slope will be same for any vertical slice y=k
25:37 Horizontal lines plotted is incorrect?
nice
good
what's the program he's using for plotting the functions??
what is a relation in 3 d?????
I've watched and really enjoyed the previous lectures, but I have some doubts regarding this lecture.... what I have learnt from the book by J. Coley is totally opposite (interchanged) to what professor explained about Contour plot and Level curves...... Hoping for anyone's kind reply. Thank you.
@inuyashalivesbaby
There are boards like that at my school.
Not that special of a device. Common at large universities.
Math - this is how you do it.
Oh, and I lol'd at 22:48 when they clapped for him.
30:40 that thing won't stop staring at me :O
thats not the graph we need, but the graph we deserve
Applied math, which is the same thing as physics but with different notations. Comedy gold.
Anyone else Bingewatching all these lectures?
there was no tangent plane
@inuyashalivesbaby haha i know what you mean! i study at LUMS univerity, Lahore, Pakistan and our science department is inspired by MIT.. we have moving boards here too its so much fun haha :D
any to recommend me?
Finally we can understand
"with respect" means
"small changes of"
For example let find the derivative of
the function f(x)=x+y with respect to x..
Means when x is moving slowly ..
What is the gradient between z and x
i.e
z/x =?
24:09
@inuyashalivesbaby
Nah, just saying that my university isn't a great one (it's great by some standards, nobel prize winners have taught here), but it's easy to get into this one.
i think it's obviously seen that he is from france as he pronounce "r" with french pronunciation
same
Fun fact: This prof started his masters leading to his Ph.D when he was 14
:|
And here am I watching this at 14. Man I feel I've fell behind already (I'm semi-joking)
lol. i like the way he says temperature. (hope i spelled it correctly)
he's awesome!
@hellomate639 in a quite plainly condescending pompous way... That's all.
@hellomate639
I made that comment two years ago. Can you imagine me saying that aloud in a MIT classroom?? lmao. That's why I don't go there...
Believe it or not, I'm not that shallow. Don't judge my character based on that one comment. I'm teacher's assistant for a calculus lab at my university now. I have 23 students. lol.
9:35
@inuyashalivesbaby
I'm not judging. Lol.
I'm just saying quite plainly that those boards aren't a very impressive feature.
Man, there is a LOT of coughing happening in the background. In 2021, if someone is coughing that much then clear the fucking room!
@katee808 Starting next month, I'll be paying the price for you =)
is he french? his accent is so funny
is there one who know this guy's accent
alperen çağrı er Fransiz
Alperen Çağrı ER french....
coughing
@inuyashalivesbaby
Oh, get over academia already. I'm not being condescending and pompous: I think it's cool that you're a T.A.
You're probably sensitive because you're in academia. I am too.