❖ Power Series - Finding the Interval of Convergence ❖

  Рет қаралды 1,134,804

Patrick J

Patrick J

Күн бұрын

Пікірлер: 626
@lesher27
@lesher27 10 жыл бұрын
Calc 2 struggle bus
@thelastdragon3242
@thelastdragon3242 9 жыл бұрын
+BrazilianDude96 IT COMES BACK IN DIFFERENTIAL EQUATIONS!!! DON"T FORGET THIS STUFF!!!
@mamu7mich
@mamu7mich 9 жыл бұрын
+TheLast Dragon lol I'm in differential equations and I'm here to review this stuff for my final .
@thelastdragon3242
@thelastdragon3242 9 жыл бұрын
You don't live in Tampa do you?
@mamu7mich
@mamu7mich 9 жыл бұрын
Nope, NJ why do you ask?
@thelastdragon3242
@thelastdragon3242 9 жыл бұрын
+mamu7mich only cause im doing the same. must be standars curriculum.
@xrealx369
@xrealx369 9 жыл бұрын
study study study understand everything ,,, and then exam's questions are from another world..hurrayyy
@donttalktome313
@donttalktome313 5 жыл бұрын
😂😂 relate much
@ethansantalone
@ethansantalone 5 жыл бұрын
so true
@Adallace
@Adallace 10 жыл бұрын
It was surprisingly difficult to find a good power series interval of convergence video. The Khan Academy video on this topic for example immediately switches to working with geometric series instead. I found this video helpful.
@patrickjmt
@patrickjmt 10 жыл бұрын
now you know where to look first!
@pierrefabela
@pierrefabela 9 жыл бұрын
patrickJMT burrrrn!
@lucgh2007
@lucgh2007 9 жыл бұрын
patrickJMT BOOOOOOOOOOOM!
@Adallace
@Adallace 9 жыл бұрын
I keep getting notifications for this comment! It seems Patrick is a popular guy, and that some of his fans have a beef with Khan Academy (at least jokingly). I used both Khan Academy and KZbin frequently for help with upper-level calculus and probability/statistics, and found both sources useful-though sometimes one source or another would cover a niche topic the others touched only perfunctorily. In any case, thanks again to Patrick, Khan Academy, and various other unnamed sources for helping me successfully complete certain university courses.
@patrickjmt
@patrickjmt 9 жыл бұрын
ayy lmao me
@patrickjmt
@patrickjmt 16 жыл бұрын
ha! sorry to scare you! i only posted the video yesterday and have not updated my website yet. : ) glad you like them and think so highly of them! tell your friends!! : )
@MrAlbashiri
@MrAlbashiri 9 жыл бұрын
i don't know what would i do without your videos. i pay for tutors but no one can explain it simpler than you. big love for you.
@patrickjmt
@patrickjmt 15 жыл бұрын
you can nominate me for 'cnn - hero of the year' : )
@classicalfunfacts2842
@classicalfunfacts2842 4 жыл бұрын
lol
@faisalchowdhury1688
@faisalchowdhury1688 8 жыл бұрын
i dont know why patrickJMT doesnt have the million + subs like all the other KZbinrs. He literally deserves it better than any college professor i know.
@patrickjmt
@patrickjmt 8 жыл бұрын
cause what i do is not entertaining
@desena1991
@desena1991 8 жыл бұрын
Luckily, what you do is very important to those of us with an interest in math, where otherwise many of us may have given up already.
@Munthasir123
@Munthasir123 8 жыл бұрын
Math becomes so much more fun when +patrickJMT is teaching it.
@superhuu1
@superhuu1 8 жыл бұрын
cuz people like entertaining more than learning
@thealonepunk
@thealonepunk 7 жыл бұрын
patrickJMT Dunno man logic is interesting.
@patrickjmt
@patrickjmt 14 жыл бұрын
@USMarineCorpsM16 glad you like the vids. more coming all the time!
@USMarineCorpsM16
@USMarineCorpsM16 14 жыл бұрын
Wow! You just clearly explained in 10 minutes what my professor attempted to explain in 50. Clear, easy to understand, direct, great explanations and examples. All of your videos are like this! Your videos are helping me through calculus...and they are free! Thanks and please keep it up!!!
@patrickjmt
@patrickjmt 13 жыл бұрын
@SixDayWonder hope it helps! there are random videos NOT in the playlist, so there is extra stuff if you need it!
@lkocevar
@lkocevar 15 жыл бұрын
DUDE excellent job!!! You explained it in 10 minutes better and clearer than both of my profs together in 4 hours! Thanks a lot!
@weylin2112
@weylin2112 11 жыл бұрын
I often watch your videos when I start a new subject in calculus 2 (and did in calc 1 as well) and I can't stress enough how helpful it is. My calc 2 professor is one of the worst I've encountered, and without your videos, I feel like there is a good chance I would be failing this course. You present with such clarity, and reference the underlying knowledge so well, that I rarely walk away without lucidity--not to mention the fact that you present the same material in 1/5 the time. Thank you.
@patrickjmt
@patrickjmt 16 жыл бұрын
once you find the interval of convergence (you actually do not have to check the endpoints if the interval), simply take the length of the interval and divide by 2. for example, if the interval of convergences was: (-1,7], the radius would be: [7-(-1)]/2= 8/2 = 4
@imfinago
@imfinago 14 жыл бұрын
I have my last cal 2 test of the semester at 11 tomorrow. I have been watching your videos on powers series and Taylor/Mclaurin series for the past couple hours and then working examples like yours. Seriously, though, thanks so much for your videos. They really do help.
@alexrayworth1661
@alexrayworth1661 4 жыл бұрын
With all the insanity of online courses your videos are going to be the only reason I pass my exam. Thanks so much for making them! You really make the content easy to understand and follow
@patrickjmt
@patrickjmt 4 жыл бұрын
Best of luck!
@IVIetaltron
@IVIetaltron 12 жыл бұрын
It's wild how you make more sense of this in a step by step (in clear English) video in 10 minutes than a math professor can in an hour and a half. Thanks!
@yahjee23
@yahjee23 12 жыл бұрын
I would just like to thank you so much, my friends and I owe you a lot! You have no idea how much you are changing lives and are making lives better. I owe you the fact that I've been passing my Calculus exams for the past 3 semesters! Thank you!
@patrickjmt
@patrickjmt 15 жыл бұрын
you are correct as some professors do feel this way. however, there are also tons of profs (researchers and non-researchers alike) who are passionate and concerned with teaching. it is hard to teach a group of apathetic people though... that is often the biggest challenge.
@tuannguyen-xw5ml
@tuannguyen-xw5ml 3 жыл бұрын
I was here around 5 years ago back in my community college. I am back with Patrick again with my FE Civil Exam. Patrick Thanks you so much for your help. You are the man
@The4thbassguy
@The4thbassguy 16 жыл бұрын
this chapter caused me a couple of hours of stress and frustration. your 9 minute video relieved all of that, and turned a seemingly impossible problem, into a 2 minute piece of cake. Props.
@Cole444Train
@Cole444Train 11 жыл бұрын
i dunno if he said this later in the video, but often the Root Test is needed instead of the Ratio Test to work out these kinds of problems.
@sehajchd
@sehajchd 11 жыл бұрын
Bump!
@Cole444Train
@Cole444Train 10 жыл бұрын
Miguel Machado i realize both approaches* are correct, however sometimes you can only use one of the methods.
@7aw7awena
@7aw7awena 12 жыл бұрын
I just wanted to say that you are by far the most amazing math teacher that ever lived. used all your video's for my Calc. 2 test, got a A-. thank you
@srfriggen
@srfriggen 14 жыл бұрын
Due to your videos, for my last two calc classes (calc I and II) I have maintained the highest scores in my class. There are many other math videos etc on youtube but yours are ordered the best and have the most examples. Thank you for making the material so understandable. Just one of your videos before class and I'm ahead on all the material for the entire 1 and a half hour lecture! You are not only helping me in the present but these grades will help me compete for grad schools! thanks!
@patrickjmt
@patrickjmt 15 жыл бұрын
youtube in an enigma : ) it makes me loathe everyone a bit more, but also love everyone a bit more : ) mostly love : )
@notslahify
@notslahify 13 жыл бұрын
These videos are the most helpful out of any of the other videos I've been looking at...
@mannyfit_
@mannyfit_ 12 жыл бұрын
After watching a couple videos, i can say without a doubt you have cleared any doubts i had in my mind. Thanks a ton!
@danielmarzec3743
@danielmarzec3743 5 жыл бұрын
Senior math major in college and still coming back to these vids, you da goat!
@pablobiedma
@pablobiedma 5 жыл бұрын
after watching a lot of videos I can truly say that you are the goat youtube teacher.
@swimjim8191
@swimjim8191 12 жыл бұрын
I have learned more from you in that past 10 minutes than I did from my Calc 2 professor the past 3 weeks.
@longshot726
@longshot726 11 жыл бұрын
I am not sure what ti feel when I understand a video of KZbin more than my actual professor... Patrick you have been a lifesaver, well more of a gpa saver during my Calc 2 class.
@andyplace
@andyplace 13 жыл бұрын
You write all the same steps as my calculus 2 teacher. The difference is, you actually make sense and explain what's going on at a perfect pace!
@SixDayWonder
@SixDayWonder 13 жыл бұрын
I just went through ALL of your videos of Sequences and Series in one weekend to prepare for my test... Gracias Patricio!
@franksharp9021
@franksharp9021 5 жыл бұрын
It's 2019 and i'm watching this 1hour before final
@asifyolchuyev8016
@asifyolchuyev8016 4 жыл бұрын
me also man)
@cullencooper6813
@cullencooper6813 8 жыл бұрын
You, sir, have saved my life, 8 years later. Thank you for doing what you do.
@Xeribol8291
@Xeribol8291 13 жыл бұрын
This helped me SO much! I understand this stuff so much better coming from you than I do from my professor and textbook. Your videos will definitely be used as study materials for me in the future! Thanks again.
@patrickjmt
@patrickjmt 15 жыл бұрын
i LOVE the internet for this very reason : ) god bless the internet it happens to the best of us : )
@crazyesy
@crazyesy 13 жыл бұрын
awesomeness! english is my native tongue but im doing my bachelor classes in germany!! this soooo clarified everything, now i can do my assignment! Thanks a mil
@Jables185
@Jables185 11 жыл бұрын
I've spent my entire day watching your videos on series and have just about learned it entirely from you.
@tinybullfrog1955
@tinybullfrog1955 3 жыл бұрын
Don't know what I would do without these!
@robertobiero
@robertobiero 13 жыл бұрын
you are godsend men, got a 98% in my calc exam because of you :)..thank you soo much
@BreadPS
@BreadPS 14 жыл бұрын
This is fantastic I would have never guessed that KZbin had such great math tutorials. I'm so glad my friend recommended it for me. Your video was very clear and easy to understand. Thanks so much!
@dusse91
@dusse91 15 жыл бұрын
Dude, I don't usually comment on youtube videos, but this time I feel like it's somehow called for. I got an A- on my Calc 2 exam. Wouldn't have happened without your videos. So thanks man, keep up the good work!
@TmanD54
@TmanD54 11 жыл бұрын
I think the limit has changed, but I like your video lengths, perfect timing, get my fix of Calc, off the class, prepped well from PATRICK JMT! Sit through the lecture, creating a great foundation for calculus :)! Thanks!
@runeruly
@runeruly 13 жыл бұрын
no one in my class pay attention to our prof. b/c unlike our prof. we can rewind you over and over and u r great at explaining.
@GubitAvitarus
@GubitAvitarus 13 жыл бұрын
Thank you very much. I thought I would never understand this, but now in ten minutes I feel confident in the material!
@shangerdanger
@shangerdanger 15 жыл бұрын
omg
@thezopelo
@thezopelo Жыл бұрын
13 years ago you were doing nonsense calc, now look at you, you made it.
@ruuchan5021
@ruuchan5021 12 жыл бұрын
I dunno how you do it, but you always manage to use examples that I can actually understand and are similar to my homework.
@coldhunter7
@coldhunter7 8 жыл бұрын
Thanks bud, seriously you are a great teacher. The way you explain things makes it seem so simple. if you didn't make these videos I'd probably be a letter grade down.
@liangsupree
@liangsupree 13 жыл бұрын
OMG!! Thanks a lot again !! I thought I'd fail my tomorrow's calculusII exam but now I feel much better. BIG THANKS :))
@zuppaa101
@zuppaa101 10 жыл бұрын
you make so much more sense than my calc 2 professor. thank you for posting these explanations on youtube!!
@BarnabyFWNightingale
@BarnabyFWNightingale 9 жыл бұрын
You are the reason I will pass my calc test tomorrow.
@xCod3Blu3x
@xCod3Blu3x 13 жыл бұрын
Just want to say you are a true math genius. Greatly Appreciate the videos. I could honestly skip all of my lectures and still pass the tests much easier than learning from my professor!
@fai9allica
@fai9allica 11 жыл бұрын
You saved many lives of students with bad teachers and tutors... THANK YOU!
@HurricaneTeen
@HurricaneTeen 16 жыл бұрын
This is outstanding. It has brought me to a much, much higher level of understanding. Thanks so much!
@salehjamsaljames
@salehjamsaljames 13 жыл бұрын
I LOVE YOU MAN, YOU JUST TAUGHT ME AN ENTIRE LESSON IN 10 MINUTES!!!
@goathead901
@goathead901 14 жыл бұрын
You are a huge help considering I have my Calculus 2 final tomorrow. I just wish I knew about you before now!
@jasondoomedyou2023
@jasondoomedyou2023 11 жыл бұрын
I have a Calc 2 exam in a couple of hours on series. I feel a bit more comfortable taking it now, thanks!
@najadavis8897
@najadavis8897 2 жыл бұрын
this video was uploaded a while ago but I'm taking ap calc bc right now and i have a test tomorrow on this topic and it was so confusing when it was originally introduced in class. after watching this video, it all makes sense!! thank you so so much you are a godsend
@higg1n5
@higg1n5 12 жыл бұрын
Just wanted to say thanks for all the help!
@Azninjazn
@Azninjazn 12 жыл бұрын
omg your a life saver, i just learned what i accidently slept through my 1 and half hour class in 10 mins
@fashionista5able
@fashionista5able 13 жыл бұрын
thank you very much Mr. Patrick! God Bless You, and give you a peace and health.
@incyt3s
@incyt3s 16 жыл бұрын
when a power series is described as the summation of Cn(x-a)^n, then it is said to be centered around a. In your example, -1 < x-5 < 1, the series would be centered around 5 on the number line with a radius of 1 so the interval would be (4,6) before checking the endpoints of course.
@gtstarboi4lyf
@gtstarboi4lyf 12 жыл бұрын
I was doing some hardcore studying for my calc 2 final but I had to come on here and say THANK YOU for making this video. This topic is so much simpler than my professor makes it out to be.
@bleedinBLUEANDWHITE
@bleedinBLUEANDWHITE 10 жыл бұрын
I've learned my entire calculus curriculum from your videos. Thank you so much
@Gstar315101
@Gstar315101 11 жыл бұрын
I'm in the same boat, and your videos have been very helpful. Thanks so much!
@mohammedabid9666
@mohammedabid9666 7 жыл бұрын
God bless your soul. You are the reason why I can skip class and sleep in.
@patrickjmt
@patrickjmt 14 жыл бұрын
@Unaviebamas u r very welcome!!
@jtnorg
@jtnorg 16 жыл бұрын
You are single handedly getting me through Calc! Thank you so much for these videos
@sasukezero456
@sasukezero456 14 жыл бұрын
Thanks for putting the video up man i was having some trouble on Interval of Convergence...Thanks a bunch buddy
@danthemantmac
@danthemantmac 13 жыл бұрын
Thank you so much for taking time to put together such a good video, this helped me so much, i appreciate it
@AustinDoggie
@AustinDoggie 12 жыл бұрын
I was about to punch a wall because I was so pissed that I didn't know how to do this. But then I saw your video and I understand a little more. Thank you.
@nukemiller1
@nukemiller1 15 жыл бұрын
After you find the limit, whatever it may be, you take that and center it inbetween -1 and 1. Then you get x by itself. This can produce for example -3
@EpicWin1337
@EpicWin1337 11 жыл бұрын
There is also the root test but, is typically harder to implement. The ratio test works for all problems so only when you see that it is obviously easier to use it is it worth using.
@lesegomokgabudi5798
@lesegomokgabudi5798 5 жыл бұрын
you are the best PatrickJMK........... FOR me you are just like Lionel Messi in maths...GOAT
@patrickjmt
@patrickjmt 5 жыл бұрын
ha, thanks! :)
@anzatzi
@anzatzi 12 жыл бұрын
in many ways this is a great complementary resource. you do a great presentations!
@aerosmithfan122
@aerosmithfan122 2 жыл бұрын
Thank you so so much!! This was incredibly clear to follow. I have an exam coming up and was absent the day we were taught this & for once I'm feeling more confident in the material
@kalef1234
@kalef1234 9 жыл бұрын
subscribed man, gotta support what you do. It's so nice to have math tutorials/refreshers/practice just on demand on KZbin. Thanks
@vince3139
@vince3139 14 жыл бұрын
wow cant believe your 10 minute videos teach me more than those long hours of lecture do.
@countmalm
@countmalm 16 жыл бұрын
This has just saved my grade. Thanks Patrick
@mega_beef
@mega_beef 13 жыл бұрын
I just want to take this moment and say that your are The Man.
@Timngu159
@Timngu159 14 жыл бұрын
can we get this guy some sort of award or something? SO HELPFUL. i mean, my calc bc teacher is actually really good, she just doesn't have a stop and rewind button!
@YouInDavid
@YouInDavid 8 жыл бұрын
You give us another teacher/tutor thanks a lot! On behalf of all math students
@TheHaymaker19
@TheHaymaker19 14 жыл бұрын
Thanks for this! Really helped me understand how to actually work these problems and get through my assignment.
@CodyShell
@CodyShell 12 жыл бұрын
do you always use the ratio test when finding the interval of convergence? thats pretty cool how it all works. your videos are helping me get through Calc II. hardest math class i have had up to date. continuing onto calc III, linear algebra, differential equations, and discrete math. looks like i will be spending plenty of time on your channel. thanks again!
@jldstuff393
@jldstuff393 11 жыл бұрын
consider lim n/(n+1). It equals 1 because the +1 in the denominator becomes negligible as n approaches infinity (in general you can ignore the lowest degree terms in limits approaching infinity). Then taking the square root (^1/2) of that is just taking the square root of 1, which equals 1.
@arindaonesmas2858
@arindaonesmas2858 6 жыл бұрын
I really appreciate. It was hard for me to compute for convergence but now I can do. Thank you very much
@diegoramos27
@diegoramos27 15 жыл бұрын
Thank you a lot for all the help, the world wouldn't be the same without you! I'll be donating too as soon as I can ! keep up the good work, I just have only one question , how can I find the Radious? Thanks !
@socalucky08
@socalucky08 12 жыл бұрын
patrickJMT, thank you so much for what you do. My teacher could learn a few things from you! You have saved me lol. :P
@realfranzconradvonhotzendo952
@realfranzconradvonhotzendo952 10 жыл бұрын
We need more people like you in the earth!
@sigrdroi8
@sigrdroi8 14 жыл бұрын
This really helps out thanks a lot! Your videos are definitely making summer school a lot easier!
@izzyr9590
@izzyr9590 6 жыл бұрын
Sir, your video is magic! I missed a few lectures for my math cal 3 so I don't understand my homework. I looked at the course notes but they were very dull! then I watched your video (this one and the root test one)! they are so clear and practical! I did my homework smoothly! (I even guessed some answers correctly by just imagine the pattern)
@nimalakers24
@nimalakers24 11 жыл бұрын
Uploaded on my birthday!!! thanks for the birthday gift.
@TheNexxtGreatThing
@TheNexxtGreatThing 13 жыл бұрын
Thanks!!!!! You saved me in my calculus class.
@TheNassrawi
@TheNassrawi 13 жыл бұрын
my final exam is after two days from now ... & you helped me alot Thank you .... my teacher
@acurtis327
@acurtis327 14 жыл бұрын
its a little sad when my calculus teacher teaches so poorly that i come to youtube to learn... but rock on! i think i have a chance for this exam now
@skyliner927
@skyliner927 11 жыл бұрын
thank you so much this was so helpful. i'm so happy you make these videos.
@patrickjmt
@patrickjmt 14 жыл бұрын
@iisasd ops, sorry i totally missed this. yes, i am sure i have stuff somewhere about them! probably with the integral test
@goldencity12129078
@goldencity12129078 8 жыл бұрын
This video helps me a lot, just this video make me clear about finding the intervals of convergences. Thanks a lot patrickJMT
@hh6427
@hh6427 11 жыл бұрын
Patrick you are a lifesaver. Thank you so much for all your videos, you've helped me so much!
@patrickjmt
@patrickjmt 16 жыл бұрын
i am going to take all of that as one of the best compliments ever.
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