Hey Patrick i just wanted to thank you, because of your videos i went through i was able to pass my maths exam, Your videos are really good and detailed, thanks again :)
So crazy that we literally just went over this in class, and I didn't understand it. Then this video was uploaded today, and it makes perfect sense, sound like fate to me.
Thank you Patrick . You are amazing. I wish we could get teachers/professor like you in every schools/colleges. Math is fun when there are amazing explainer like you (y)
Patrick your videos are great! Try to pump out more videos on Calc III before my exam in December. I used your videos to study for Calc I and II and they were awesome. Unfortunately my academic career has finally caught up to your videos :(
7:57 You calculated ds/dt=sqrt(2) But then I don't understand Where |R'(u)|=sqrt(2) comes out? How do you know ds/dt= |R'(u)|? We do know that ds/dt=|R'(t)| so are you saying u and t are the same thing?
thank you for this video; it really helped me out. i always do better these days understanding math conceptually (it especially helps me remember and truly understand the formulas). great job! i'm sure you've helped many more people than just me :D
I was recently asked the question of which is more difficult, Chemistry or Math? Well, sorry, but basically, all the chemist does is follow a cook book of what's already been done. However, the mathematician must learn logic to solve for the unknown. And a truly good one can re-derive what he/she forgets. Not knocking the Chemist, but I'd say higher math is more difficult to master!
If anyone reads this still t will tell you what x,y,z equals too at each point once you have parameterized them, if you built a table you could plug in various t values and this will give you an idea of how an arc moves, and also create intermediate variables (x y and z) with t and also s being used as variables in multivariable functions
Please can you make a video about a problem on finding all roots of a polynomial equation that involves all complex zeroes. Preferably an equation that starts with X^4. I know it's been at least a few years because I've been watching the videos in the polynomial playlist but I can't find any video that has a complex solution. I need desperate help.
Thank you so much!! My professor is not really good at explaining so I was having a hard time understanding this concept. I have a test tomorrow. Wish me luck!!
Thank you so much for your video. It is just save me in my exam. I lost all of my lecture notes in our school library. 4 big notes book. Someone just stole all my notes except my stationary bag and calculator 😭😭😭
Tim Rubin Halcomb Unit Vectors were hard when I had to do them in Pre Calc, I don't even want to imagine what they would be like in Calc with all that polar coordinates stuff.
Jaye サンダーの治世 Oh God. I remember having to do them in Precalc and I was scarred for life when I had to use them for complex numbers, conic rotation and parametric stuff. I don't think I've ever done worse on a test in my life.
+TALOOSH DA DERPSHARK The k there is just to imply unit vector if you note when you have a 3d axis, the unit vectors are i for x- axis, j for y - axis, and k for z - axis. So we have i,j, and k, Hope that helps!
That definitely helped :) I am really new to vector calculus. I really want to go into the physics field when i go to college. What are you on this video for?
See thats the thing what if i alrrafy have a curve, like of an impeller and i want to find the radius of that arc...how do i do that ? I dont have a formulae which relates X axis to y axis ...how fo i find the radius of that ? This is why i dont like maths..i wanna use it in real life but how ?? Life doesnt come in the form of functions, this is why i hate mathematicians...and this is why engineers are better than mathematecians...
Hey Patrick
i just wanted to thank you, because of your videos i went through i was able to pass my maths exam, Your videos are really good and detailed, thanks again :)
How to find 6:25
Thanks.. 2019 and your videos are still making a difference..!!
9:40 that's the concept I was looking for, thanks
So crazy that we literally just went over this in class, and I didn't understand it. Then this video was uploaded today, and it makes perfect sense, sound like fate to me.
lol who marked this as spam?
I was tearing my brain trying to understand before this video. Thank you for your time!
Still the best math tutor on youtube, probably one of the best in the world if i'd say. My teacher SUCKS.
At 11:03, you made the vectors starting from the initial point, shouldn't they be starting from the origin , both of 'em
?
yeah, they should be starting from the origin instead of the point a
PatrickJMT is hands down the best channel ever made if the criteria is learning math. Now if only there were a version of this channel for circuits...
+Sammy Eang Michel van Biezen. best academic channel on youtube in my opinion. plenty of circuit problems
+kazachkov193 Thanks, you're a lifesaver!
really nice, i could even smell the sharpie
Thank you Patrick . You are amazing. I wish we could get teachers/professor like you in every schools/colleges. Math is fun when there are amazing explainer like you (y)
thanks :)))
Patrick your videos are great! Try to pump out more videos on Calc III before my exam in December. I used your videos to study for Calc I and II and they were awesome. Unfortunately my academic career has finally caught up to your videos :(
7:57 You calculated ds/dt=sqrt(2) But then I don't understand Where |R'(u)|=sqrt(2) comes out? How do you know ds/dt= |R'(u)|? We do know that ds/dt=|R'(t)| so are you saying u and t are the same thing?
+Money Editor He plugged in t for u after taking the derivative
4:32 why does trace a circle in the xy-plane?
Love u manhh.. Thank u so much... I've been tryna get it since morning, it's 9:51 pm, I've seen ur video n super satisfied!
@ 10:18 the position vector should start from the origin, not (1, 0, 0)
Very nice explanation of arc length and re-parametrization.
Hope you can explain why in the arc length parametrization formula there is an ‘u’
Thanks! Video helped tons!! Serious question...why are most math professors in the US foreign? I don't get it...
Ikr, my multi variable teacher is Turkish
My calc BC teacher last year was swedish, accent and all.
Asian calc 3 teacher, got a crush on her tho so its all good
My MCC teacher is german, strong accent, explains everything from a pure perspective with like no examples.
because America is great and it is the land of opportunity, all the smart people come here from all over the world.
Got your book a few weeks back, Patrick. Really enjoying it- well done. Thank you!
thanks, I finally get it! :)
Glad I could help!
Is the formula same for any dimension?
Very good man, thanks. I really liked the conceptual difference explanation at the end of the video!
Why did he switch from t to u in the formula?
just for integration purpose
how do you mean by 1 unit length along the curve, can you explain a bit further plz?
At the very end, does r(t) point from the origin to the curve or from (1,0,0) to the curve? It looks like only r(s(t)) should be from (1,0,0)?
so if I'm given r(t(s)) = r(s) and two points, 1 and 2, on a 3d curve, the arc length between those points is the difference of r(2) and r(1)?
Great video, helpful explanation! But what exactly is the "u" variable?
thank you for this video; it really helped me out. i always do better these days understanding math conceptually (it especially helps me remember and truly understand the formulas). great job! i'm sure you've helped many more people than just me :D
I was recently asked the question of which is more difficult, Chemistry or Math?
Well, sorry, but basically, all the chemist does is follow a cook book of what's already been done.
However, the mathematician must learn logic to solve for the unknown. And a truly good one can re-derive what he/she forgets. Not knocking the Chemist, but I'd say higher math is more difficult to master!
*_Now_* I get it! Thank you patricklifesaverJMT!
How can I ask a question? I have something I to ask you if possible
How can I ask a question? I have something I want to ask you if possible
please do a lot more videos on multivariable calculus topics
Hi patrickJMT , I have a question... How can I find x w/ two given equation.
Example: Solve for finding x from x - y = 3 & -y - x = -7
***** , (how can I times or) how will I show a 3x3 matrix after multiplying 3x1 and 1x3 matrics?
***** but htat's the problem I have in finding 3x1 * 1x3 cuz...
1. there no second row on 3x1 and
2. no second column on 1x3.
THANKYOU PATRICK! You're just amazing as usual!! Love the vids, life saver :')
What does in the direction of increasing t means?? it wasnt addressed here was it?
If anyone reads this still t will tell you what x,y,z equals too at each point once you have parameterized them, if you built a table you could plug in various t values and this will give you an idea of how an arc moves, and also create intermediate variables (x y and z) with t and also s being used as variables in multivariable functions
@@rere-x6g Thanks man. I graduated tho 😂. Thanks for the reply, nevertheless
@@ishaaqahamed3888 And I failed 😭😭
Please can you make a video about a problem on finding all roots of a polynomial equation that involves all complex zeroes. Preferably an equation that starts with X^4. I know it's been at least a few years because I've been watching the videos in the polynomial playlist but I can't find any video that has a complex solution. I need desperate help.
I couldn't find an explanation for this anywhere, thanks so much! You saved me!
thank you very much. this makes much more sense now. my professor didn't really do a good job of explaining this concept
Thank you so much!! My professor is not really good at explaining so I was having a hard time understanding this concept. I have a test tomorrow. Wish me luck!!
good luck!!
Thank you Patrick!!!
Thanks for putting me through Multivariable!
no problem, just send me a portion of your tuition! :)
Thank you for this lesson.
9:31 ?
Great video! Thank you!
Thanks ! a lot, in particular the concise, conceptual explanation at the end.
This video is a banger, ty bro!
i have been learning and improving my math from patrick by just watching his videos on youtube.. and sometimes i wonder how old is patrick now?
36 currently...
wow, i really thought u were in your mid 20 =)
that is what people typically guess when i meet people in person... mid to late 20's. also, for you internet people, the picture is quite old now.
this calls for a new picture!
Quick concept 😏really helpful
Thanks a lot, you are a life saver !
Thanks for your tutorial video
maximum likelihood estimation video?
@UCFe6jenM1Bc54qtBsIJGRZQ, what is parameter of curve at the point?
7:25 is is always the z component for the lower limit
please reply.. I have test …
Thank u so much, this helped me understand way better
Great vid!
Great video, thanks!
Thank you!
Really thanks ! From all my ♡
I really appreciate ur great work
Keep going
And never stop helping people :)
Great job!
Thank you so much for your video. It is just save me in my exam. I lost all of my lecture notes in our school library. 4 big notes book. Someone just stole all my notes except my stationary bag and calculator 😭😭😭
Very good, thanks
dope my man thx a lot
Great video
I HAD NO CLUE THAT YOU LOVE CHESS TOO!!!! NICE!!!!
thanks!
thanks bro
Oh God I'm only in Calc (AB) that looks horrible.
hang in there! you can do it!
it's not really all that bad! i and j, and k are unit vectors and used for directional purposes!
Tim Rubin Halcomb Unit Vectors were hard when I had to do them in Pre Calc, I don't even want to imagine what they would be like in Calc with all that polar coordinates stuff.
Lukas Feuerstein Polar coordinates are actually not that hard, just exhausting to calculate.
Jaye サンダーの治世 Oh God. I remember having to do them in Precalc and I was scarred for life when I had to use them for complex numbers, conic rotation and parametric stuff. I don't think I've ever done worse on a test in my life.
Dx/5+4cosx evaluate the integral
yes and no its nothing like this as a solution,
it says it will be changed into 2tan^2 x/2 /5+4(1+tan^2x/2
thanks a lot !
Thank you so much for this!!!!! I have an exam in 2 days 😭😭😭🤦🏻♀️
Why haven't you won a Fields Medal yet?
We learned about this today and this is perfect :)
Why did he not put k in 6:25
+TALOOSH DA DERPSHARK The k there is just to imply unit vector if you note when you have a 3d axis, the unit vectors are i for x- axis, j for y - axis, and k for z - axis. So we have i,j, and k, Hope that helps!
That definitely helped :) I am really new to vector calculus. I really want to go into the physics field when i go to college. What are you on this video for?
Ah, good luck, I was using it as a review at the time :), Pat's videos are great!
are you gerizekali?
He missed the k in 6:25
There is no i,j,k in arc length formula because youre finding the magnitude not direction
+Connor Armstrong Thanks. I am new to calculus 2 and 3.
"oh man i hate that word"😂
THANK YOUUUUUUU
I adore you
See thats the thing what if i alrrafy have a curve, like of an impeller and i want to find the radius of that arc...how do i do that ?
I dont have a formulae which relates X axis to y axis ...how fo i find the radius of that ? This is why i dont like maths..i wanna use it in real life but how ??
Life doesnt come in the form of functions, this is why i hate mathematicians...and this is why engineers are better than mathematecians...
Universities should be reparametrized for better, it's 2022.
❤
❤❤❤
Notation smh
If your a math genius... What's 9 + 10 XD
21
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