i know im asking the wrong place but does anyone know a way to get back into an Instagram account?? I was stupid forgot the login password. I would appreciate any tricks you can offer me.
You are literally a god. Like, that might even be an understatement. Your youtube videos are BY FAR the most easily understandable explanations of these difficult topics I’ve ever seen; you manage to explain a topic in 10 minutes better than a professor from elite institutions does in an hour.
I can't think of any channel other than yours with such a wide and high-quality coverage of Calculus. Your videos are a very great service for Calculus students worldwide and especially self-learners, such as myself. The visualisations are very nice on several levels, and the explanations are rigorous as well as intuitive. Thank you.
in youtube, I'm not being watched for just solving some random problems for tests. to get the gist of any topic and feel those are the main objective for me. and you do these things perfectly. your bite-sized lectures and visuals for every topic make me intrigued through the topic
I half read two books on multivariate calculus bcoz i was studying machine learning could not understand anything. Here u r literally explaining them like simple basic maths. Wow thanks a lot. This is how maths should be taught. Great work and big fan of yours sir.
The hardest part in teaching calculus is making everything seem obvious, “ but many people fail to do that. Great teaching indeed . One question : you say , the vector r(t+ delta(t) - r(t) is increase in size when divide by t less than 1; but the more t decease and that vector really close to tangent vector , I dont see it increase in size anymore ?
Dr. Trefor, thank you very much for the lessons. They're really amazing! So... dr/dt is the velocity (vector v), not the tangent vector T, right? dr/ds is T.
Dr T -- Can you recommend a multi-variable calculus text? I prefer texts will physical explanations and examples. Thanks for the spectacular vectors in 3-space in the videos....
at 5:47 is the yellow vector pointing in the wrong direction? I was taught that when are doing (vector A) minus vector B, when A and B have a common starting point, in this case, the origin, that the (vector a minus b) starts at the tip of B and points TOWARDS vector A. Here in this picture, the vector starts at the tip of A and points towards vector B.
In single variable, the derivative is the slope of the tangent line. When it comes to vector valued functions, is the magnitude of the tangent vector analogous to the slope of the tangent line? So, in the case of a straight line, the tangent vector would just be the zero vector?
hello Trefor Bazett, thank you for your nice video, but Ive got a question somehow. How can you exactly know if two different inputs have got the same output. How can you be sure you are dealing with a function ?? If two inputs have got the same output then how can you see it/ calculate it ?
@@DrTrefor ah thank you very much Im on my first year of engineering it really made a mess of my head, can't think properly as I used to do in highschool lol
May you please give a geometric or formal derivation of delta t, instead of putting it as a scalar that increase the delta r magnitude vector? For me that feels very artificial, and I don´t like it... Is there another way to derive delta t participation in the equation of tangent vector?
@@DrTrefor i'm a physics student in first year of my under graduation, and i'm looking for such resources, can you briefly tell me what should I do on Matlab? i don't know if its very advanced for someone like me do I need to learn how to use it (like some computer language), actually i have zero clue about this Matlab , can you nudge me in the right direction?
The fact that the yellow vector stays yellow even after being multiplied by a scalar confused me. The vector that becomes the tangent vector and delta r are not the same. (You do erase the expression for delta r, but I didn’t get as much from that as I would have from a change in colors, to emphasize the fact that the two vectors aren’t the same.) I don’t think this is quibbling either, when the magnitude of the tangent vector has such an amazing interpretation, that being speed when t is time.
@@DrTrefor Understood. I lived for a time in Montreal and learned French, so I very much appreciate our neighbors (neighbours) to the north. Vive le Canada! 🇨🇦
![The most beautiful equation in math, explained visually [Euler’s Formula]](/img/n.gif)
Pin this comment if you love teaching !!!
i know im asking the wrong place but does anyone know a way to get back into an Instagram account??
I was stupid forgot the login password. I would appreciate any tricks you can offer me.
@@izaiahedwin3038 use option forgot password
@@izaiahedwin3038 Turn it on and off
@@izaiahedwin3038you are right. This is the wrong place to ask. How did you even end up here lmao
You are literally a god. Like, that might even be an understatement. Your youtube videos are BY FAR the most easily understandable explanations of these difficult topics I’ve ever seen; you manage to explain a topic in 10 minutes better than a professor from elite institutions does in an hour.
Best thing that’s happened to me this year: signing up for your calc class ❤️
Sir, you are a great teacher. Thank you for all your efforts. May God bless you in all your endeavours.
You are most welcome
I can't tell you how much I am loving these lectures.
Your lectures are great. The constant smile on your face shows how much you love the subject and how much you love to teach it.
Wow, nice way to visualize it instead of just memorizing formulas and forgetting it later. Thank you
Great visuals and color-coding! It makes an already-easy-to-understand explanation even clearer!
Best video to understand this topic in a clear manner
I can't think of any channel other than yours with such a wide and high-quality coverage of Calculus. Your videos are a very great service for Calculus students worldwide and especially self-learners, such as myself. The visualisations are very nice on several levels, and the explanations are rigorous as well as intuitive.
Thank you.
in youtube, I'm not being watched for just solving some random problems for tests. to get the gist of any topic and feel those are the main objective for me. and you do these things perfectly. your bite-sized lectures and visuals for every topic make me intrigued through the topic
Not only are you explanation simple and easy to understand but also the way you speak makes me excited about math, I don't know why...
Thank you!!
@@DrTrefor 😁
You explanation is very clear and helpful thank you for your contribution.
Excellent production value!
I half read two books on multivariate calculus bcoz i was studying machine learning could not understand anything. Here u r literally explaining them like simple basic maths. Wow thanks a lot. This is how maths should be taught. Great work and big fan of yours sir.
So glad they helped!
@@DrTrefor Sir can u tell me from where the maths and basics of machine learning derived from?
intuitive, rigorous, complete,nice animations
Unbelievable. It's unbelievable how you teach! I love this so damn muchhhhh
This man is the reason I stop my Calculus lecture videos, come to youtube, and say, "Trefor will make me love this."
Hahah :D
Just wanna say PERFECT. Thank you for your effort, sir.
You are a great teacher, your videos help me with my studies. Thanks!
You have an incredible channel, thank you!
we love you a lot
you are an amazing professor
yes , I am a math teacher but also i really like being a student when i watch your courses ❤
Kindest professor i've ever seen
Thanks for this video. It immediately cleared up my confusion.
sir, you deserve atleast 1M subs
Nice! Love the graphics!
incredible class
Thank you!
Beautifully explained
Thank you so much 🙂
@@DrTrefor Thanks to you Professor
Great lesson and visuals! thank you so much, Sir!!!
The 3d visualizations synchronized with your lecture, really help understand the material!
The hardest part in teaching calculus is making everything seem obvious, “ but many people fail to do that. Great teaching indeed . One question : you say , the vector r(t+ delta(t) - r(t) is increase in size when divide by t less than 1; but the more t decease and that vector really close to tangent vector , I dont see it increase in size anymore ?
FANTASTIC EXPLANATION!!!!!💯❣
Excellent explanation
The best teacher
Great one bro. Got some relief.
Thanks sir !! Really liked the way u explained
You are amazing ! Thank you so much
Thank you for this, pewdiepie i learned a lot
Excelente explicación
Dr. Trefor, thank you very much for the lessons. They're really amazing! So... dr/dt is the velocity (vector v), not the tangent vector T, right? dr/ds is T.
Thank you so much, it was just amazing
Thank you
This was actually great!
Thank you!
You are great 👍
Much appreciated. Thank you!
Dr T -- Can you recommend a multi-variable calculus text? I prefer texts will physical explanations and examples.
Thanks for the spectacular vectors in 3-space in the videos....
Dr. Bazett, what 3D visualization tool do you use? It seems useful as you are able to change your viewing angle etc.
Everything here is done in MATLAB
Thanks Dr. Bazett! Your videos with the animations are super useful!
what a content ..... superb
Holy moly another great video, you are a life-saver! :')
That was so amazing!
at 5:47 is the yellow vector pointing in the wrong direction? I was taught that when are doing (vector A) minus vector B, when A and B have a common starting point, in this case, the origin, that the (vector a minus b) starts at the tip of B and points TOWARDS vector A. Here in this picture, the vector starts at the tip of A and points towards vector B.
Hi! what software do you use to graph in 3 dimensions like that?
I use MATLAB for most things, but a good option for students to play with that is free is geogebra
@@DrTrefor Thank you very much Dr. Bazett!
Thank you :)
In the formula
-
r (t) = cos(t)I + sin(t)j + tK
Why is a plus sign used? Is the output to be thought of as a vector or as a scalar?
In single variable, the derivative is the slope of the tangent line. When it comes to vector valued functions, is the magnitude of the tangent vector analogous to the slope of the tangent line? So, in the case of a straight line, the tangent vector would just be the zero vector?
Exactly. Another way to think of it is that it is the "speed" aka the length of the velocity vector
Thank u very mush for this video!!!
Thank you sir for this video, I want to ask is this the gradient of (r) vector?
Gradient only applies to a scalar function
@@DrTrefor thnk u sir🙏
your multivariable calculus series are just amazing!! they are really helping me utilize my time well during this lockdown!
Indeed.
I watch this channel through 2 different accounts so I can give it more likes
At 2:30, why do you just randomly consider x^2 + y^2 = 1? Aren't the x and y components respectively cost and sent?
The best 👌.
You are great😍
hello Trefor Bazett, thank you for your nice video, but Ive got a question somehow. How can you exactly know if two different inputs have got the same output. How can you be sure you are dealing with a function ?? If two inputs have got the same output then how can you see it/ calculate it ?
@@DrTrefor ah thank you very much
Im on my first year of engineering it really made a mess of my head, can't think properly as I used to do in highschool lol
Wow. That helped a lot. Subscribed. 💖💖💖
Can a vector-valued function be in only two dimension?
May you please give a geometric or formal derivation of delta t, instead of putting it as a scalar that increase the delta r magnitude vector? For me that feels very artificial, and I don´t like it... Is there another way to derive delta t participation in the equation of tangent vector?
Sir what will be unit tangent vector
🔥🔥🔥
what is the name of the software used to plot the 3d graph
I use MATLAB, but lots of options that work great too
Thank you for your reply and answer.
Tangent Vector 3:27
how do you plot these vector valued functions on 3D?, i mean what software u use?
I use MATLAB
@@DrTrefor i'm a physics student in first year of my under graduation, and i'm looking for such resources, can you briefly tell me what should I do on Matlab? i don't know if its very advanced for someone like me do I need to learn how to use it (like some computer language), actually i have zero clue about this Matlab , can you nudge me in the right direction?
The fact that the yellow vector stays yellow even after being multiplied by a scalar confused me. The vector that becomes the tangent vector and delta r are not the same. (You do erase the expression for delta r, but I didn’t get as much from that as I would have from a change in colors, to emphasize the fact that the two vectors aren’t the same.)
I don’t think this is quibbling either, when the magnitude of the tangent vector has such an amazing interpretation, that being speed when t is time.
Nicely explained. Would be better if you could explain via delta-epsilon theorem too
🙏🏼
9:14 I think we should be taught the Leibniz Notation more in school...
Why a vector valued function should have only 1 input?
I'm Indian here ,😀
Like if u love Indians 😍😍
"Leibniz" (as in, derivative notation) should be pronounced like the long i in 'like'
thanks but pleaaase get a little mic for your collar
Where is the problem solving????
Dude, I just want to make a circle...
Liked? Check. Subscribed? Check.
Solid content but that echo is hard to accept.
What happened to "zed "?
USA is the only place that says "zee", which makes the USA the outlier in the English speaking world globally.
ha, I spent three years in the US and now I'm mentally stuck using both:D
@@DrTrefor Understood. I lived for a time in Montreal and learned French, so I very much appreciate our neighbors (neighbours) to the north.
Vive le Canada! 🇨🇦
You speak in Urdu Language
your shirt needs some ironing, its normal is pointing everywhere and it’s distracting.
jk of course😊
50 rupay kaato overacting ka