As a fourth year Civil E in my last math class all I can say is thank you! As soon as I get a real job I will contribute because you are the reason why I am where I am today. From PreCalc to Calc III/ Linear/ Diff. eq. you were the reason I passed. You have taught me so much more than The Ohio State University, has. Thank you!
i hope the vids help - i have a lot of stuff related to first semester calculus, with only a couple of topics missing (i think)! my advice: read the book and watch a video BEFORE class. you will understand much more this way!
honestly , you're like the only person i understand from. SO much better than khan academy. You seriously dont need them ! Made it all the way to Calc 3 with your help. Calc 4 is next semester :) keep up the amazing work and saving our asses lol
+Reem Mustafa It depends on the subject...sometimes Khan Academy explains a subject better, sometimes Patrick does, so I use both. Both are absolute gold dust to students anyway!
x ... X.... the function the ... THE function X of..... let me choose a different color. So .. so so the function X is... IS.... if I take the function X of
Trick for finding potential that makes it wayyy faster. Integrate P(x)dx , Q(y)dy , R(z)dz independently. Then take those answers and combine them counting the common terms from each ONLY ONCE. Throw a +k or +c or w/e constant letter u fancy and done! Can do this problem in under a minute.
I found this way a bit confusing. I'd just rather integrate each term of F with respect to x,y,z respectively and then add the individual resultant terms each once and then add a C. Bam!
This is 4 years late, but don't do this. It may work for certain problems but there are plenty where it won't. I mean, if it were that easy we would all be doing it already...
this is one of the most confusing concepts/processes i have faced thus far in my mathematics education (a few things in chemistry were more confusing). thank goodness for patrick, at least i have a fighting chance with his help.
NO Math is hard... one determines how hard itll be. Thats why i have chosen Patrickjmt over his competitors since precalc. Im an Engineering student and i approve of this wonderful man!
I don't know whether anyone will read this comment. You can take partial derivatives of the given vector field with respect to all the variables of that system and add all the *"unique"* terms up and add it with an arbitrary constant, c.This works because it encompasses the derivative information without altering it. This reduces the pain of the thinking process as exclaimed in this and the previous video. If you won't add blindly as I say, you can compare each part. deri. component.
Your explanation is really amazing! I had been following your videos from a month...I improved a lot for doing actual problems..But I've one request..You can make some optional intuitive videos going through a deeper understanding of the likes of Taylor Series, Line-surface-volume integrals bla bla bla...I'm too inferior to tell you what to do...just take it as a friendly suggestion :-)
I'm pretty sure that millions of students refer to his videos on constant basis, so why does he only have 688k subs. unappreciative people, the least you could do is hit that sub button and support him
Hi there, first of all I wanna say that your videos are really great! Concise and easy to understand! Anyways, how do I proceed if the problem I'm given has the equation F(r) = Gmr/ |r| 3 where G is a constant and r = (x,y,z). How do I get from this form to the form you start with at 0:17 ?
Have you ever thought about joining Khan Academy?? I am sure they would really appreciate the way you are explaining things!! Anyways, thanks for the video
patrickJMT How come you didn't integrate the h(z) = 8xz + g(z)? I noticed in your "little f" that you had a 4xz^2 already but I was just wondering why you took the derivative of only g(z) and leaving 8xz alone? I would understand you'd be left with another 4xz^2 but since its already a term in your "little f" you wouldn't add an extra term right?
I'm confused, you say at the end, just take the partial derivatives of x y and z and you see you get the components back, i'm only seeing this for the 1st component.
@thefieldscarecro Im studing for my final exam and to tell you the truth, watching those videos and comparing with my notes equates to hours of going to class...
As a fourth year Civil E in my last math class all I can say is thank you! As soon as I get a real job I will contribute because you are the reason why I am where I am today. From PreCalc to Calc III/ Linear/ Diff. eq. you were the reason I passed. You have taught me so much more than The Ohio State University, has. Thank you!
Patrick is like the long lost math teacher I never had. Leaning on you for differential equations as well. U ingenious genius.
i hope the vids help - i have a lot of stuff related to first semester calculus, with only a couple of topics missing (i think)!
my advice: read the book and watch a video BEFORE class. you will understand much more this way!
They should just replace all university/college professors with patrick, and just play your videos instead of listening to these crappy professors
Not all profs are crappy man
Honestly tho I learned more from this video than I have from a couple weeks of lecture.
@Bob Smith murriiccaaa
@@spaceinvader2977 true not all but most are bad from experience...........
my favorite way to spend a friday night, an ice cold beer and calllllllllllllllllllllllculus
ive been reading stuff online and watched like 10 vids before i found yours and now i 100% know ill get this type of problem right on my exam
honestly , you're like the only person i understand from. SO much better than khan academy. You seriously dont need them ! Made it all the way to Calc 3 with your help. Calc 4 is next semester :)
keep up the amazing work and saving our asses lol
Reem Mustafa glad you like my videos :) just doing the best I can!
+Reem Mustafa It depends on the subject...sometimes Khan Academy explains a subject better, sometimes Patrick does, so I use both.
Both are absolute gold dust to students anyway!
I attended the full lecture (50 minutes) and didn't understand anything, but with you, only 8 minutes was enough...Thanks a lot.
Patrick>>Khan academy
x ... X.... the function the ... THE function X of..... let me choose a different color. So .. so so the function X is... IS.... if I take the function X of
+Schrodinger's Cat Ahahahahahaha
Schrodinger's Cat SO TRUE 😂
I have an exam in two hours and this video help me to figure out the process better in 10 mins than 2 months of class, thank you.
Trick for finding potential that makes it wayyy faster. Integrate P(x)dx , Q(y)dy , R(z)dz independently. Then take those answers and combine them counting the common terms from each ONLY ONCE. Throw a +k or +c or w/e constant letter u fancy and done! Can do this problem in under a minute.
wow
i have calculus next semester and i'm going to grow very fond of your videos. your going to be a big help man.
Awesome explanation. Very nice how you equate Fy to Fy in the two different contexts.
Clearly and logically explained..... Love from india sir 🙏
I found this way a bit confusing.
I'd just rather integrate each term of F with respect to x,y,z respectively and then add the individual resultant terms each once and then add a C.
Bam!
just tried this in his other example and it worked! wtf very interesting...
This is 4 years late, but don't do this. It may work for certain problems but there are plenty where it won't. I mean, if it were that easy we would all be doing it already...
@@PLANET-EATER lol, hes probably already done with school XD
@@PLANET-EATER this way does work, actually. But you don't add the individual terms, only the unique ones. And he's right, its much easier.
one of the rare ones that actually miss math!
happy u enjoy my boring videos ; )
happy holidays to you too!
you. just. saved. my. life. sir.
thank you sooooo much from the bottom of my heart
our lecturer is very good even compare with you. watching this videos like revising. thank you sir!
a big thank you from a student in South Africa
You're just full of amazing Pat. I totally get now.
THANK YOU THANK YOU THANK YOU. it took me 2 hours to get it but now i understand all thanx to you.
you are a literal god. thank you so much for this. you are monumentally better than my college calc professor.
thank you again and again. always there for help.
thanks sir.. really helpfull..love from malaysia
this is one of the most confusing concepts/processes i have faced thus far in my mathematics education (a few things in chemistry were more confusing). thank goodness for patrick, at least i have a fighting chance with his help.
you should truly be awarded!!! thank you very much!!!!
NO Math is hard... one determines how hard itll be. Thats why i have chosen Patrickjmt over his competitors since precalc. Im an Engineering student and i approve of this wonderful man!
this just filled in the gaps. Thank you so much
I don't know whether anyone will read this comment. You can take partial derivatives of the given vector field with respect to all the variables of that system and add all the *"unique"* terms up and add it with an arbitrary constant, c.This works because it encompasses the derivative information without altering it. This reduces the pain of the thinking process as exclaimed in this and the previous video. If you won't add blindly as I say, you can compare each part. deri. component.
tomorrow im having my exams , thanks man , you saved my life !!!
@Phibins better than the other way around!
@cinder7usa thanks! glad u like them! happy new year to you too!
Patrick : The Living Legend once again
xD
@Twemer yep!
Thank you Patrick, this makes sense now!
Your explanation is really amazing! I had been following your videos from a month...I improved a lot for doing actual problems..But I've one request..You can make some optional intuitive videos going through a deeper understanding of the likes of Taylor Series, Line-surface-volume integrals bla bla bla...I'm too inferior to tell you what to do...just take it as a friendly suggestion :-)
the only stranger in this world that i will be soo much thankful for...
Dude ur awesome !! im suffering in engineering coz we dont have professors who teach as well as u do in my uni !!!
You're a life saver . Thank You ❤️👌
Patrick has the best comment section on youtube
it is a treasure trove. i go through them each morning :)
thank you sire, you've saved my life
thanks so much i forgot how to do this from lecture 2 days ago!
thank you !
your videos help me a lot!
Great video! Very well explained, and easy to follow! :D
Loving ya work Patrick!
You are indeed amazing, keep it up!
This was really helpful. Thanks!
I have exam tmr and you just save my ass for this. my lecturer did not go through this type of question before.
Woow, am writing this Friday advanced calculus and oops you have broaden my understanding
I'm pretty sure that millions of students refer to his videos on constant basis, so why does he only have 688k subs. unappreciative people, the least you could do is hit that sub button and support him
omg I GET IT NOW and it's actually a really cool concept!
thanks ;)
Thank you so much! u just saved my life big time!
Truly a life saver :)
thanks for saving my butt for the nth time, patrickJMT! I just noticed you're a lefty too :D
Thank you sir ! Regards
just understood this at 00:45 and im writing my exam today at 08:30
you are the best thank you so much
patrick da best
Thank you so much man!
thank you very much!!!
You are a great magician!
Hi there, first of all I wanna say that your videos are really great! Concise and easy to understand! Anyways, how do I proceed if the problem I'm given has the equation
F(r) = Gmr/ |r| 3 where G is a constant and r = (x,y,z). How do I get from this form to the form you start with at 0:17 ?
Awesome bro!! Thanks a lot
from understanding fubini's theorem, it doesn't matter which partial you start with to obtain the potential function?
God bless you❤
Thank you!
Fantastic!
Have you ever thought about joining Khan Academy?? I am sure they would really appreciate the way you are explaining things!! Anyways, thanks for the video
they dont want me!
patrickJMT you don't need them, you do it way much better than they do!
I assume khan afraid of his reputation being ripped off lmfao
thanks so much
You have revived me.thx
patrickJMT How come you didn't integrate the h(z) = 8xz + g(z)? I noticed in your "little f" that you had a 4xz^2 already but I was just wondering why you took the derivative of only g(z) and leaving 8xz alone? I would understand you'd be left with another 4xz^2 but since its already a term in your "little f" you wouldn't add an extra term right?
Thx! Finally i understand how this shit works! Thank you.
if we are asked a potential function, do we have to write constant c with function f? or is it enough just f?
Amazing.
well done
I'm confused, you say at the end, just take the partial derivatives of x y and z and you see you get the components back, i'm only seeing this for the 1st component.
Ohhhhh.... nvm, i see it now... partial of the entire thing for each component...
What if g(z) is not equal to zero?
i should probably send u a cheque for 500 dollars cause u taught me this whole course, but naww ill just give it to my university
thank u that help me.
I love you.
@thefieldscarecro Im studing for my final exam and to tell you the truth, watching those videos and comparing with my notes equates to hours of going to class...
Do you have any videos about flux?
Hocam yazdigin kisimlari sonra silip uzerine yazman kafa karistiriyor biraz. Alt alta butun cozumu devam ettirsen daha aciklayici olur. Thanks!
the whole library is overdosing on your videos :D
is f the potential function? please answer
hey from 2019
thx!
really like this method but its a little messy. however im terrible at the other methods. thx as always #savinlives
Solve this please F=(yz,2x,xy)...and find f?
How do you do it in R2?
tysm pookie
Isnt C = 0 ?
Patrick you doing great but too much unimportant details
Video saying 12yrs ago ....
Me...i dont care he is the best
Allah bin kere razı olsun.
mezun oldun mu usta
Gotta say you're better than Kahn on this one
math is easy by your videos.
ur awesome
:)