Patrick, you are seriously my hero. I had a 77 in my calc 2 class. After discovering your videos I brought it up to a 92, letting my keep my 4.0 GPA. I have recommended your videos to all of my classmates and the whole class's grades went up. You have no idea how much help you have been to math students around the whole world. We are forever indebted to you.
at my university we have study rooms in the library full of students watching PatrickJMT on big screen TVs. PatrickJMT is the Psy of math. Trump says he's tremendous
if you were watching on a computer you'd see that he put a notation :P it's about time that we can see those notations on phones too, eh? come on youtube...
I don't think I was the only one who noticed, but I guess you got it wrong on the last part... It should be 3 instead of 0. I hope you don't do the same mistake again, but so far so good... you really are a good teacher and you did great tho. I really learned a lot on making up the tedious parts especially on doing manipulations. thank you patrick :)
You are saving my life right now. I swear integrating with partial fractions was making absolutely no sense to me before watching your videos. Thank you so much.
I'm sure you hear this all the time..but dude, you seriously are a hero. What I couldn't understand in class, has now become second nature due to your incredible help!!!! THANKS!!
thanks! You just saved me about an hour of head ache, my book just totally glosses over this step. So annoying, goes into to excruciatingly unnecessary detail about finding the LCD then skips this step entirely and the next step magically appeared. One line was all I needed! Thanks so much man!
Just gonna take a second to say thanks so much for the sacrifice you make in producing these videos, they properly explain everything with that one on one feel. It truly helps alot and I'd like to say thank you my friend.
Thanks, man. I fought a good battle. I focused on these questions and ignored the other questions on the test because YOLO and I want to prove something to myself.
@ClownDatWalk for the first year and first few hundred videos, it was simply just something to do; then google started its partner program so i do now get a cut of the ad revenue that google makes from my vids. it was never my intent to make money from the videos, just a nice opportunity that came up along the way. thanks to their program, i am able to cut back on my tutoring job which is why i have been able to post many more videos this past year
dude ur the man!! you understand how many people you are helping out on exams and stuff. You are taking a big part in making this world better by educating engineers and people alike!
hey, i believe you missed the coefficient of the constant value on the last problem. it should be B + 4C + 4D = 3 not equal to zero as you put. You may have just overlooked it as it was a long problem. Thanks btw for all these videos, i've been using them for the past three years (from high school to college) for review. They're extremely helpful
I knew the cases but didn't know when exactly to apply them, especially the repeated factors....thanks for showing me how to approach it. Great explaination. I have a test on partial fractions, graphing rational functions and quadratic roots. YOU GIVE ME HOPE!!!
@@patrickjmt Sorry, I didn't mean to come off that way. I meant it makes quarantine less tolerable. Thanks a ton to you though! Your videos have reaaally helped me since 11th grade. :)
Yes, I have a test tomorrow 9/17, I hadn't a clue what I Partial Fractions were. The Teacher rushes through his lectures because we only have 50 minute per periods. This has really helped me grasp the material. Thank You!
My teacher taught us a simplified version of these methods... but without going through the trouble of teaching the details like you did, I got real confused about why you do certain things. I much prefer your teaching methods. Thanks for going into details.
Thank you for making these videos, I've been having trouble learning all of the BC(calc 2) things from the book and all of your videos explain them really well and make it easy to do problems with these questions on them
yeah same here too in the Philippines you are a LIVING HERO!!! before i'm thinking to how to pass the exam after watching lots of your video lessons now I'm thinking to how am my going to perfect the exam. tnx a lot patrick!!
I have the feeling that some people who watch these videos will make important contributions to mathematics someday with you being the one who unknowingly lead them to that direction.
Just wanted to say thank you for all of the great amazing videos. I know lots of people come here who have horrible teachers and what not but I just come here to review what I learned and really strengthen my math skills.....and just browse over some parts that Im not so sure about....Thank you!!!! :)
You are one of the supporter to spread the love around the world by contributing your knowledge to everyone. Man I wish there is a way to vote you as one of the very few people who do help million people around the globe thru the internet. I just wish you all the best and success in your life. God bless you xoxo
EY PATRIC. THANKS HOMIE, I HAVE A SEMESTER TEST THIS SATURDAY AND I WAS FREAKING OUT CUZ I JUST COULDNT UNDERSTAND THIS NO MATTER HOW MY PEERS EXPLAINED. THIS' A BREAKTHROUGH FOR ME. THANK U
thank you!! my precalc teacher just taught this TODAY and we have a test on it and a bunch of other stuff tomorrow. thank you for all the help! especially the tip about determining the degree of the letters on the numerator :) that was confusing me before
You got confused from all the zeros, so you put the constant terms, B+4C+4D, equal to zero aswell when it really should be equal to 3. Great job with the explaning though, really helped me alot!:)
Sir are u still active on ur TH-cam channel cuz I can see all the videos which are 10-12 yrs old ? but they are so helpful thank you. 💕🙂 most of the engineering students are here
I remember watching this video back in Calc II and thinking, I'll never need to know the long way of doing partial fractions! And here I am in, 2 semesters later in diff equ, coming back to the same to finish the rest of the video Haha. Cheers.
@magepurexx13 well, the why part is a bit harder to explain (it is has to do with continuity of functions). check out a calculus text book for this. and if you were taking my calculus 2 test, you could certainly do this.
In the future could you please put in the description links to the "course" of videos we should watch to learn new materials?? i.e. links to introduction of partial fractions through links to the hardest example problems? sometimes I'm not sure which order to watch the videos! thanks for all your help!!!!
@patrickJMT I assume you to be very relaxed since this opportunity came up, and you're doing this with your interest and talent which does not seem like you're in pain of making videos. Maybe that is why your videos are filled with enthusiasm and able to help us more than any other youtuber can (at least that's what i think).
thank you Patrick for all the video uploaded , helped me a lot to understand step by step all the mathematical methods used and explained thank you once again ,and you people don't get so concerned about one small mistake thanks
@WithASideOfFries Calculus. This part is just basically algebraically manipulating a rational function into smaller rational functions. The main reason for doing this is to be able to integrate it more easily. Instead of integrating the huge rational function we had in the beginning, we integrate smaller easier rational functions.
When you can't find it on Khan Academy, my boy PatrickJMT got you covered
Max Bolton the Lannisters send their regards
+Max Bolton i think you have that backwards
+patrickJMT you are the man
+alonso alzua where did we found the "3/5"
+alonso alzua we substituted x = -1 from (x+1)^2 and D only had (X+1)^2 so we equalled it to 3 and solved it check 15:08 to see it in this video
Patrick, you are seriously my hero. I had a 77 in my calc 2 class. After discovering your videos I brought it up to a 92, letting my keep my 4.0 GPA. I have recommended your videos to all of my classmates and the whole class's grades went up. You have no idea how much help you have been to math students around the whole world. We are forever indebted to you.
at my university we have study rooms in the library full of students watching PatrickJMT on big screen TVs. PatrickJMT is the Psy of math. Trump says he's tremendous
the best, the best. everyone loves him, just loves him. true story.
B+4C+4D=3
!!!!!!!!!!!!!!!!!!!!
lol yup i knowXD
noreeta adam i think so too
noreeta adam yeahhh
I know it
Noreeta Adam I know!!!!! That’s what I thought too!! I’m like “Whoops that’s wrong, please fix it, please fix it” lol
i don't know where i would be... without Patrick J M T!
yes, it is a mistake that tons have pointed out in the comments as well as the annotations
The constant, shouldnt it be
B+4c+4d=3 ??
Yes
+Austin Dong thank u
if you were watching on a computer you'd see that he put a notation :P
it's about time that we can see those notations on phones too, eh? come on youtube...
Aqila Firdausi yes it should
Aqila Firdausi True
I don't think I was the only one who noticed, but I guess you got it wrong on the last part... It should be 3 instead of 0. I hope you don't do the same mistake again, but so far so good... you really are a good teacher and you did great tho. I really learned a lot on making up the tedious parts especially on doing manipulations. thank you patrick :)
It is insane how u still reply to comments from 8 years ago. Thank you so much for your work! It is currently saving my ass!!
You are saving my life right now. I swear integrating with partial fractions was making absolutely no sense to me before watching your videos. Thank you so much.
Just passed my exam. All the best, man!
Coming back 2 years later, needed a refresher on partial fractions for Laplace transforms. Thanks Patrick!
my pleasure! come back any time :)
I'm sure you hear this all the time..but dude, you seriously are a hero. What I couldn't understand in class, has now become second nature due to your incredible help!!!! THANKS!!
thanks! You just saved me about an hour of head ache, my book just totally glosses over this step. So annoying, goes into to excruciatingly unnecessary detail about finding the LCD then skips this step entirely and the next step magically appeared. One line was all I needed! Thanks so much man!
A= -6/25, B= -9/25, C=6/25, D=3/5
are these values correct?
Garrett Munson I got those exact same values
+Garrett Munson Same
yeep
An answer from the future says: that’s correct
I set it up in a matrix and solved for A and B the big brain way, these are the same answers I got, cheers!
@muppenz thank you very much for the kind words. just doin' my best here and hoping that it helps
I just want to thank you for helping me. Without you I may have never passed calculus.
Just gonna take a second to say thanks so much for the sacrifice you make in producing these videos, they properly explain everything with that one on one feel. It truly helps alot and I'd like to say thank you my friend.
I'm so screwed. Can't follow up. It's easy to understand while watching but damn, this would be a pain in the ass while solving it alone. T.T
If you believe in your self you can do it, practice alot and be confident.. remember practice makes perfect
Thanks, man. I fought a good battle. I focused on these questions and ignored the other questions on the test because YOLO and I want to prove something to myself.
Stone Panganiban thank you to you, that is exactly what I did, great minds think alike.. YOLO
Yeah!
@ClownDatWalk for the first year and first few hundred videos, it was simply just something to do; then google started its partner program so i do now get a cut of the ad revenue that google makes from my vids. it was never my intent to make money from the videos, just a nice opportunity that came up along the way. thanks to their program, i am able to cut back on my tutoring job which is why i have been able to post many more videos this past year
dude ur the man!! you understand how many people you are helping out on exams and stuff. You are taking a big part in making this world better by educating engineers and people alike!
patrickJMT...come to my university's maths department study area and just look at atleast 40 students watching patckJMT... KING
hey, i believe you missed the coefficient of the constant value on the last problem. it should be B + 4C + 4D = 3 not equal to zero as you put. You may have just overlooked it as it was a long problem. Thanks btw for all these videos, i've been using them for the past three years (from high school to college) for review. They're extremely helpful
Finally, the comment that I’ve been looking for. I was confused in that part and this comment cleared everything up. Thank you for pointing this out…😊
I knew the cases but didn't know when exactly to apply them, especially the repeated factors....thanks for showing me how to approach it. Great explaination. I have a test on partial fractions, graphing rational functions and quadratic roots. YOU GIVE ME HOPE!!!
You're a lifesaver.
Quarantine sucks when online classes are still ongoing and I can barely understand a thing.
yea, i don't think anyone is enjoying it :)
@@patrickjmt Sorry, I didn't mean to come off that way. I meant it makes quarantine less tolerable.
Thanks a ton to you though! Your videos have reaaally helped me since 11th grade. :)
can't thank you enough man, this is exactly what i need to reinforce my understanding of what the teacher slops up on the board every day.
I came here because I couldn't this topic on Khan Academy - did not disappoint.
Yes, I have a test tomorrow 9/17, I hadn't a clue what I Partial Fractions were. The Teacher rushes through his lectures because we only have 50 minute per periods. This has really helped me grasp the material. Thank You!
My teacher taught us a simplified version of these methods... but without going through the trouble of teaching the details like you did, I got real confused about why you do certain things. I much prefer your teaching methods. Thanks for going into details.
Thank you for making these videos, I've been having trouble learning all of the BC(calc 2) things from the book and all of your videos explain them really well and make it easy to do problems with these questions on them
I'm sick of the six pack shortcuts ads. Though it's fine. It's worth it.
PatrickJMT is the best tutor on youtube. Thanks for your excellent videos. You've helped so many engineering students graduate!
I had never laughed so hard in my life
yeah same here too in the Philippines you are a LIVING HERO!!!
before i'm thinking to how to pass the exam after watching lots of your video lessons now I'm thinking to how am my going to perfect the exam.
tnx a lot patrick!!
It's been many quarters since I've taken my last math classes and I've forgotten how to do things like this that I need in engineering now. Thank you!
u r awesome man. u makes maths so easy..😇😄😇
you're the man...i wish u taught every single of my college classes. keep it up.
I would not be able to survive without your videos! thanks for getting me through Calc 2 lol
I have the feeling that some people who watch these videos will make important contributions to mathematics someday with you being the one who unknowingly lead them to that direction.
when nobody was there, patrick came in clutch
Just wanted to say thank you for all of the great amazing videos. I know lots of people come here who have horrible teachers and what not but I just come here to review what I learned and really strengthen my math skills.....and just browse over some parts that Im not so sure about....Thank you!!!! :)
i love this feeling when everything just clears up for me :)
Thanks again patrick!
Im a math tutor, and i used this video to learn! THank yoU!
B+4c+d = 3 not 0 no?
Thats what i thought too
You are one of the supporter to spread the love around the world by contributing your knowledge to everyone. Man I wish there is a way to vote you as one of the very few people who do help million people around the globe thru the internet. I just wish you all the best and success in your life. God bless you xoxo
I'm crying of happiness when everything can be so clear. No homo.
thank you for this!! I will definitely be recommending these videos to my classmates
This 28 minute video taught me what my teacher tried to teach us in 3 days.
EY PATRIC. THANKS HOMIE, I HAVE A SEMESTER TEST THIS SATURDAY AND I WAS FREAKING OUT CUZ I JUST COULDNT UNDERSTAND THIS NO MATTER HOW MY PEERS EXPLAINED. THIS' A BREAKTHROUGH FOR ME. THANK U
Patrick! You dropped your dx's! Notation! Notation! (to mock math professors everywhere.)
thank you!! my precalc teacher just taught this TODAY and we have a test on it and a bunch of other stuff tomorrow. thank you for all the help! especially the tip about determining the degree of the letters on the numerator :) that was confusing me before
You got confused from all the zeros, so you put the constant terms, B+4C+4D, equal to zero aswell when it really should be equal to 3. Great job with the explaning though, really helped me alot!:)
still watching at 26:50
patrick, you have the handwriting of an angel...
@shadowx33 yes, there is a mistake in the system of equations when equating coefficients
Wow, well done...I am officially a fan. You explain exactly what students need to hear...crazy concept
Omg dude, THANK YOU.
You explain things so clearly, you save me sooo much time!
Thank you, my teacher can't teach, you're a life saver.
Thanks for helping me a decade later man
Why didn't you include =3 in the 4th equation? I think that is also what made me get different answers if I used the other equations.
Sir are u still active on ur TH-cam channel cuz I can see all the videos which are 10-12 yrs old ? but they are so helpful thank you. 💕🙂 most of the engineering students are here
wow im a uni student learning this for the first time and you made it so easy.....Thank you
Even after I've graduated with my B.S.E.E. you're still helping me along on my FE exam. Thank you!
my pleasure!
I remember watching this video back in Calc II and thinking, I'll never need to know the long way of doing partial fractions! And here I am in, 2 semesters later in diff equ, coming back to the same to finish the rest of the video Haha. Cheers.
@magepurexx13 well, the why part is a bit harder to explain (it is has to do with continuity of functions). check out a calculus text book for this. and if you were taking my calculus 2 test, you could certainly do this.
You're handwriting is soooo nice, and the video is even better
patrickJMT is a godsend
thanks so much patrick! explained this way better than my calc 2 teacher!
you are a complete genius, thank you so much for the amazing explanation! Finally got a right answer after trying for hours on a similar question!
In the future could you please put in the description links to the "course" of videos we should watch to learn new materials?? i.e. links to introduction of partial fractions through links to the hardest example problems? sometimes I'm not sure which order to watch the videos!
thanks for all your help!!!!
@avianbc glad the videos helped everyone : ) patrickjmt in every classroom! : )
this guy is the best, i can understand it so easily, thnx man, keep it up
@patrickJMT I assume you to be very relaxed since this opportunity came up, and you're doing this with your interest and talent which does not seem like you're in pain of making videos. Maybe that is why your videos are filled with enthusiasm and able to help us more than any other youtuber can (at least that's what i think).
At 20:23 should not B+4C+4D=3 ? why equal to zero?
I was wondering the same
+Ali Nomer yeah..no one has answered from 11 hours.
+dheeraj malik turn the annotations on, he left a note there already
i too am confused. halp
+ikhigdadf oh ok. im on mobile so i cant see it, but thanks anyway
i never understood the equating the coefficient bits, now i do thanks a bunch!
Thank you thank you thank you. Can you make 'Patrick is my Hero" t-shirts so I can wear them to calculus class? it would give me good math vibes.
video quality has come a long way in the past half decade
A million thanks to you patickJMT
How does one take the integral of the remaining answer he got?
partial fractions = H-E-double hockey sticks and you've turned them into a cakewalk!
Thank you thank you thank you!
you deserve a grammy!
Love your videos man. Such a huge help as I'm taking Calc 2 this summer.
dude...
you have no idea the help you have provided me :)
Im glad there is people like you....
NO HOMO.... -_-
YOU ARE A LIFESAVER
@shinomora thanks : ) i will keep doing what i do
that last problem was brutal!
thank you so much and you're so nice for apologizing the way you did, we should thank you; you did your best!
thank you man you make it look so easy
thank you Patrick for all the video uploaded , helped me a lot to understand step by step all the mathematical methods used and explained thank you once again ,and you people don't get so concerned about one small mistake
thanks
My name is sergio sanchez .. and I am a mormom.. I am loving the adds on your videos ..LOL
If you two would team up and make a school of math. I'd be honored to enroll!
Thanks for this videos
This helped me a lot
Its simple and easy .
Loved this
glad i could help :)
you sir, are the bob ross of mathematics.
how satisfying is it for you to find people that followed you in math, and succeed, throughout their college career?
+Evan Brown very much so. I get these comments regularly :)
you're helping me complete my computer science degree, thank you :^)
Thank you for your existence and thank you for making this video!
THANK GOD FOR YOUR VIDEOS, NO, THANK YOU FOR YOUR VIDEOS!!!. AND JUST TO LET YOU KNOW THESE CAPS ARE MADE BY HOLDING DOWN SHIFT, NOT CAPS LOCK.
@WithASideOfFries Calculus. This part is just basically algebraically manipulating a rational function into smaller rational functions. The main reason for doing this is to be able to integrate it more easily. Instead of integrating the huge rational function we had in the beginning, we integrate smaller easier rational functions.
AHHHHHHHHHH YOU SAVE ME, I ALMOST FORGOT THERE IS SOMETHING CALL COMPARING COEFFICIENT!!!
Thanks for making such easy to understand content!
isnt b + 4c + 4d = 3 ???????????????
I thought the same...
+Nora ben Salah Yes it is, he forgot it!