Level curves Instructor: David Jordan View the complete course: ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms More courses at ocw.mit.edu
Пікірлер: 107
@mikemuponda17818 жыл бұрын
The instructor is very very good, almost feel guilty for not being able to buy him a beer lol
@munya_wto2 жыл бұрын
Wangu😂😂
@coleyoutubechannel Жыл бұрын
fr , he doesn't over complicate things
@DrYes2204 жыл бұрын
This guy is great, explained something I spent two hours staring at a textbook in 10 mins superbly
@noobmaster-dm7tu6 жыл бұрын
hit like if you didn't pause the video after 0:44
@fast_gtr5 жыл бұрын
noobmaster69 I’m a rebel.
@tawosabdalla6974 жыл бұрын
I didn’t know there were many like me hahaha. I didn’t pause, my reaction was oh man stop the crap and keep going.
@joeschey9 жыл бұрын
For example C, instead of breaking x^2-y^2=0 into (x+y)(x-y), you could set y^2=x^2. Taking the square root of both sides gives you y=x and y=-x, which are the 2 lines which form the X shape through the origin.
@EmpyreanLightASMR4 ай бұрын
True, though that's the easy way. I appreciated he factored it as it's not something commonly seen
@j0mezzy8 жыл бұрын
Now this is my pace right here ! Good job
@yadpreetcheema48066 жыл бұрын
"welcome back" hehe little does he know...
@marishaghosh66113 жыл бұрын
This explanation is so amazing! Thank you so much!
@sunr81524 жыл бұрын
for someone who never knew, using x2 for youtube lecture vids is really helpful! You learn faster
@ClassyJohn9 жыл бұрын
its hard to visualize 3D on a 2D board unless ur a really good artist
@ThongNguyen-sm8sn5 ай бұрын
One of the best math instructor I have ever learned from!
@blueblutterfly029 жыл бұрын
This helped a lot, thanks!!
@sarwarmohammed3769 Жыл бұрын
12 years ago and still its the best i found in youtobe
@cashews912 жыл бұрын
this video was very helpful, thank you!
@kamrankhankami77934 жыл бұрын
Who is missing 2010? While watching this video and thinking that in 2010 , how beautyful days it were....
@bwibwi510 жыл бұрын
that chalkboard is beautiful.
@DMSAProductions10 жыл бұрын
Thank you very much!!! Really helpful tutorial!!!
@bryanquintana12 жыл бұрын
Very good video. Thank you, it was extremely helpful.
@chrisrock199011 жыл бұрын
Put in different values of z. At z=0 you get a line but at any other value of z you get hyperbola's that are shifted by a certain degree.
@HiddenShaco12 жыл бұрын
take different constants of z. z=0 will give you two straight lines, z=1 and onwards will give you the curved lines that are symmetric to the y-axis and z=-1 and lower will give you the curved lines that are symmetric to the x-axis
@KabeloNgwenya12 жыл бұрын
Super helpful! Thanks for the upload :)
@instinctscooter8 жыл бұрын
really good video, very informative and easy to learn from. One thing though is that I believe that at 7:30 when you start to draw the hyperbola only the first two you draw are correct, if you rearrange z=x^2 -y^2 you get -/+x=(y^2+z)^1/2 so the absolute value of x will always be greater than y, the saddle you draw later on actually adheres to this idea.
@anchu6311 жыл бұрын
part C is also a called a Pringle.
@Rahul-uk4su4 жыл бұрын
Yeah a reverse pringle..
@koalabear44411 жыл бұрын
wouldn't part C be considered a hyperbolic paraboloid? not a hyperboloid of 2 sheets? standard form for a hyperboloid of 2 sheets is (x/a)^2+(y/b)^2=(z/c)^2-1
@valerieshearsmith31367 жыл бұрын
my, what a big chalk you have
@anirudhsharma98024 жыл бұрын
😏
@GreyBillie12 жыл бұрын
Thank you!!!
@seriousmax9 жыл бұрын
What z-value steps do we take? z=0,1,2,3,4,5...?
@nicholasthope8 жыл бұрын
I'll admit. The last time I seen or used a chalk board was 2001. And with computers, touch screen and stylus, and smartboards, I'm seeing less usage of whiteboard too. Very informative video! :)
@timepass47838 ай бұрын
We still use chalkboards here in India😂 though whiteboards are taking over
@MrMalding9910 ай бұрын
im glad im not the only one struggling with 3d graphing and visualization. this guy had a hard time explaining the shape for C, understandably so. 3d->2d is a bit harsh for professors to make us do when we have computer software for it.
@zeinabfarhat33809 ай бұрын
thats the engineering system day by day theyre changing the curiculum maybe when our generation have kids we will see that changing in the science department courses
@zahraaljami10 жыл бұрын
thank you a lot !
@Shafique969 жыл бұрын
in example c i didn't understand what you meant, "by moving z across we get hyperbolas"? i don't get why it would cause a hyperbola
@jbrookes19958 жыл бұрын
At 6:29 David says it's a Hyperboloid of Two Sheets, but I think it is actually a Hyperbolic Paraboloid. The general formula for the graph of that Quadric Surface is z = x^2 - y^2, which matches the saddle description he gives.
@brandoncamarino31277 жыл бұрын
Jeremiah Brookes I think it is too. A hyperbolic paraboloid has the saddle shape and the form z=(x/a)^2-(y/b)^2. For it to be a 2 sheet hyperboloid it'd have to be equal to 1 and all variables squared.
@tejasgajra27316 жыл бұрын
when z is a constant the curve is a hyperbola, he is right !
@amitrajo7 жыл бұрын
Amazing video, I have question if x^2+y^2 < r^2 , ABS((2x^4y+y^5-5x^2y^2)/((x^2+y^2)^2)) < b and b> 0, find the value of r?
@emmak80793 жыл бұрын
so helpful!
@heyhey6116 жыл бұрын
Thank you! :D
@aldensova75376 жыл бұрын
thank you so much. Wish you were my teacher
@redahawse6 жыл бұрын
thank you
@ww87205 жыл бұрын
why isnt the third equation a hyperbolic paraboloid
@rayparker7554 Жыл бұрын
Can't the last one being a butterfly shaped pattern of arranged bowls ?
@maktub_txt4 жыл бұрын
AHHHHH THANKS man
@erjonatopalli95411 жыл бұрын
it's called recitation, and yes. even postdocs are TAs at times.
@joesr317 жыл бұрын
How do draw it if there are constraints?
@mohammadhoseinrivandi56574 жыл бұрын
Tnx!i got it!!!
@unleashedwillyy12 жыл бұрын
dude how long is your blackboard
@mytommy9 жыл бұрын
life saver
@16172351612 жыл бұрын
powerful hand!!!
@PRIYANKASINGH-hv8ri3 жыл бұрын
In Q1, why isn't his plane passing through (0,0,0)?
@TheAwilks1010 жыл бұрын
BeyondSkys09 Your comment is dumb. If you attended any accredited university, except perhaps an online school like the University of Phoenix, you would find that all math departments still use chalk boards especially for large introductory classes like Calculus III, which this video is for. Blackboards are big enough to see in large lecture halls and provide professors the mobility they need to lecture easily and get rid of mistakes they may possibly make quickly.
@broctorres365810 жыл бұрын
Not necessarily. My university uses whiteboards for all math classes. Comments about chalk boards being old = bad are pretty silly though.
@BeyondSkys0910 жыл бұрын
Are you honestly defending the black board? Oh god, you aren't even worth my time.
@TheAwilks1010 жыл бұрын
BeyondSkys09 Dawg are you for real. Its MIT. They can write on toilet paper for all I care. If it wasn't for opencourseware I and many other engineers/ scientists would be screwed. And yah I dont mind white boards. My only problem is that I have been unfortunate enough to have most of my professors right in green marker in a room that has an overall green tint. It just straines the eyes after a while.
@LeinysandMassey4life8 жыл бұрын
+Michael Donovan same here at University of Wisconsin - Madison. All math and chemistry lecture halls/classrooms all use chalkboards. They don't smell bad like whiteboards lol.
@Brono255 жыл бұрын
They use projectors at my uni. They lecturer can switch between slide shows or a camera which can show them working things out on pen and paper. Its good for us who only watch lectures online.
@lloydlucin52812 жыл бұрын
we use them at stanford too
@brayamhuamanta17125 жыл бұрын
Muy bueno aunque si tuviera subtitulos en español sería genial ,saludos de Lima- perú(UNI)
@s1ight10 жыл бұрын
every university math course I've ever had has been with chalk boards
@omarshokry70228 жыл бұрын
except Leonard :D
@kamrankhankami77934 жыл бұрын
Believe me or not , he has memorized the graph of last function as we memorise and at the end time forget our own made formula for memorization
@temp___11 жыл бұрын
He's actually only 3'4.
@29leej8 жыл бұрын
I smell geekiness from him
@aimeedarling1212 жыл бұрын
are contour lines and level curves the same thing?
@Anahdhhsxjfh6 ай бұрын
Yes
@mathildeottele1320 Жыл бұрын
Yeah. Basically we're in big troubles. It is a simple manner to let you decide how you're going to manage your life at this point. Once again. It is a guide-life you're free to just trash or whatever. Take it like a general idea of what success could be if you decide to follow what sounds thrilling to your self. It's free so help yourself. *It is entirely up to you* #bestpart
@someperson82498 ай бұрын
OMG is this the math sorcerer?
@nikurisuidk75264 жыл бұрын
That chalk is bigger than my brain.
@DAleftLANEplz4 жыл бұрын
MIT: sidewalk chalk for the video
@XQuber10 жыл бұрын
I think there is a tiny mistake in how he drew the axes of the coordinate system: The arrow which is captioned with some variable should be pointing in the direction where the variable increases, therefore it is not crrect to draw an axis pointing in BOTH directions ;)
@jacobvandijk65255 жыл бұрын
So mr Minkowski ("remember him from SR?") must have been a horse-lover ;-)
@ryanchiang95879 ай бұрын
partial differential equations pde
@spidieman23935 жыл бұрын
@ryanphoon is best of the best
@spidieman23935 жыл бұрын
Best MIT student
@ibile29222 жыл бұрын
i thought it would be cylindrical
@militantpacifist40878 жыл бұрын
The first problem he does is a problem from my homework assignment.
@prateek52311 жыл бұрын
i like to think of it more like a pringles chip, but ok
@jhat201413 жыл бұрын
Some buff ass chalk.
@Fishtail36 жыл бұрын
That is one meaty stick of chalk.
@mustafakamal8106 Жыл бұрын
why does he looks like Chris from The Family Guy.
@h033310 жыл бұрын
aha, problem number 2x10^infinty of our generation: discussing blackboards under a math video.
@OriakoPhi13 жыл бұрын
I have no fucking clue how to hell you came up with part c...
@yogotah11 жыл бұрын
freakin MIT
@danbenjamin958 жыл бұрын
Only person I've understood so far thank you! Very well explained. Good boy. Good little boy you. Come and have a cookie. Have a little cookie. Come her you good little boy. Have a cookie. Yes. Yes. Take the cookie. Good boy. Eat that cookie up. Such a good boy. You like that cookie don't you. Good boy. Good little boy.
@Crelicx7 жыл бұрын
What The Fuck
@greenleaph51457 жыл бұрын
Dan Benjamin Hush boi.
@thebeaditya7 жыл бұрын
I laughed so hard to this :D Thank you
@mro20387 жыл бұрын
What's this 😂😂😂
@Shyzah6 жыл бұрын
*_P E D O P H I L E A L E R T_*
@BeyondSkys0912 жыл бұрын
they still use blackboards at MIT even primary schools have moved forward lol
@itsssxxxpunit11 жыл бұрын
You could ride them
@mohammadjj9 жыл бұрын
The cameraman is annoying. He zooms in on the graph and doesn't allow us to simultaneously see the level curves.
@videougur11 жыл бұрын
Thanks, it was helpful :D, by the way you look like Eminem :D
@user-gq9pd7xw6k4 жыл бұрын
oh my, "you can put this on a horse" what a joke.
@99Leo12 жыл бұрын
Oh no, MIT is using grad students for their video lectures!!!
@noobmaster-dm7tu6 жыл бұрын
boi
@ICOD7311 жыл бұрын
9:57 Lolz
@YTEmphi12 жыл бұрын
Laugh so hard when he walked in after 5 seconds...