Every time you fully explain something in a few minutes that I've seen many teachers fail to teach in a whole semester, I get more respect for the act of teaching as an art and a profession.
Every time you fully explain something in a few minutes that I've seen many teachers fail to teach in a whole semester, I get more respect for the act of teaching as an art and a profession. (copyed)
You've helped me from my freshman year in High School, and now that I'm in college I still continue to watch your videos because they're one of the few things that actually help
patrickJMT i want to thank you from the bottom of my heart. You have helped me so much over the last few years and i am still learning so much from u. I barely understand my teachers. But u make it too easy and help me so much. Please keep up the good work.
My professor has tried to jam sequences and limits into one lesson, I was extremely confused but thanks to you i finally understand it! Thank you! I really needed this for my final
So you covered all my calculus 2 class material. Explained nice and efficent without wasting time around with many examples and your teaching style is great. Thank you Sir really appreciate what you are doing :)
I would just like to mention that for the first example you did on the page "convering or diverging," when you took the function (n(n-1)) and took the limit, it should go to +1 not infinite. This is because if you expand (n(n-1)) out and then divide both by n squared, you will get (1 - 1/n^2). Therefore as you take the limit of this, you will get (1-0) = +1
@star7girl nerdy is just fine : ) i had a less than stellar school experience too; that is how it goes sometimes. do not let that stop you: read and teach yourself!! that is the secret to learning.
Let me just tell you that you have been my professor this year. Thanks so much for everything! My professor could DEFINITELY use some lessons from you! :/
the other mistake on this video is a small one . . . that you placed the ratio as . . . . . . between -1 and 1 . . . but you used less-than-or-equal to one instead of just less than one. You were correct on the -1 side of the ratio. I'm sure that you properly explain this somewhere along the way . . . as you always do. Thanks! . . . and GOD Bless you for all of these wonderful videos.
Thank you sooooooooo much ,, you just give the idea in a clear short way .. I've watched more than one of your videos and every thing is cristal clear thanks to you ❤
@granadaza well, it is 'by definition' - otherwise, many statements about factorials would not work and one would need a special case. factorials are also used to count arrangements where order matters, so i have heard some say: how many ways can you arrange zero things: in ONE way, that is, not at all. personally, i do not find this that satisfying. to me, it is a needed to rule to make many formulas and statements correct. we can define as we wish, so long as we are consistent after that!
Great video! you are always spot on with the explanations. Q: Just have one question, when you separated the denominator into two 3^1 times 3^n, how is it that it does not changing the problem to 9^n if you where to pice it back together?
Hey patrick I'm a little confused. Could you just look at the ratio of the coefficients and say the limit equals 2/3? This of course ignores the "+1" since adding one to infinity will have no effect. Thank you for saving my butt on countless occasions with these videos!
so Patrick, the last one is to be converge? Well... I'm studying this, I read my notes but still didn't understand But after watching ur vid, totally understand :) thanks! :)
As of last week I started studying "sequences and series". Again, the branding chosen inappropriate and unnecessarily confusing , not distinguishable at all. I would leave "sequences" as it is but would refer to "series" as "add-series" or better yet "add-sequence or sum-sequence" simply because now, in the word the clue of summation already has been giving in the initial descriptive sense. What do you think?
Hi Patrick I have an upcoming exam on these but my problem is that I find it difficult to know how to start these sorts of problems (testing divergence/convergence). Are there patterns or techniques that I should recognize so I automatically know if I see something, there's a certain way to do it. Please reply thanks!
Patrick, I'm doing my IRP on a math related topic and I'm not sure where to start... I trying to figure out why a repeated algorithm on a twisty puzzle, like the rubiks cube, always reverts itself back to its original state. I don't want a direct answer, because I want to do it on my own, but if you can head me in the right direction to success, it would be much abliged. :)
Im soo doomed for my AP Calc BC exam!! I could really use the credit for college!! Regardless, this is the best place to come to review/learn something!! Thank You!!
In US when you write a number such as .1, you don't write the zero before the point cause it would be a leading zero right? In Brazil we write it 0,1 (yes, with a comma).
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Every time you fully explain something in a few minutes that I've seen many teachers fail to teach in a whole semester, I get more respect for the act of teaching as an art and a profession.
perfect
You got me through Calc 1 and now you're getting me through Calc 2. Your videos have been an amazing help and I thank you for it.
I LOVE YOU. THANK YOU SO MUCH FOR BEING A PHENOMENAL HUMAN BEING AND SHARING YOUR KNOWLEDGE WITH THE WORLD.
This guy is such a good teacher. My professor spent two hours trying to explain this and you can did it in under 12 minuets.
Every time you fully explain something in a few minutes that I've seen many teachers fail to teach in a whole semester, I get more respect for the act of teaching as an art and a profession.
(copyed)
You've helped me from my freshman year in High School, and now that I'm in college I still continue to watch your videos because they're one of the few things that actually help
patrickJMT i want to thank you from the bottom of my heart. You have helped me so much over the last few years and i am still learning so much from u. I barely understand my teachers. But u make it too easy and help me so much. Please keep up the good work.
Seriously this guy saved my exam got 18/20 in maths.Thanks dude
I started series and sequences this week! These vids are a big help, I've recommended you to everyone I know who is taking math.
My professor has tried to jam sequences and limits into one lesson, I was extremely confused but thanks to you i finally understand it! Thank you! I really needed this for my final
thanks for recommending my videos!
your videos are lifesavers my professor cannot teach at all so thanks a lot!!! finally someone who actually knows how to teach people math
So you covered all my calculus 2 class material. Explained nice and efficent without wasting time around with many examples and your teaching style is great. Thank you Sir really appreciate what you are doing :)
Omg !!! You are the best !!!! I have been following ur videos since 4 years !!!! N I think u r the best math teacher Eva !!!! :)
Haha magic math....love you bro. Thanks for the vids. Your vids are pulling me through calculus and I couldn't do it without em. :)
I'm struggling with calculus in class, but your explanation is very clear and understandable, and I found it really helpful. thank you very much! :)
I would just like to mention that for the first example you did on the page "convering or diverging," when you took the function (n(n-1)) and took the limit, it should go to +1 not infinite. This is because if you expand (n(n-1)) out and then divide both by n squared, you will get (1 - 1/n^2). Therefore as you take the limit of this, you will get (1-0) = +1
@star7girl nerdy is just fine : )
i had a less than stellar school experience too; that is how it goes sometimes.
do not let that stop you: read and teach yourself!! that is the secret to learning.
@jwmcmac a geometric sequence does converge if the ratio if -1 < r
I love these videos. Patrick, you're the man; intelligent AND an effective teacher.
So much information, conveyed so well. I am glad people like you exist in this world!
Let me just tell you that you have been my professor this year. Thanks so much for everything! My professor could DEFINITELY use some lessons from you! :/
Hi
man u r awesome.. i spent 4 months trying to understand this.. u saved me
i hope i can understand them too,about to start wish me luck :/
thanks my teacher hopped right into the unit reviewing the basics was very helpful for someone like me who has never been introduced before
We need more teachers/professors like you in our schools!
I love math magic. I unknowingly do it all the time on my tests.
@patrickJMT your the best teacher i have every had
Thank you Patrick! Your videos are so clear and if I am having trouble with a concept all I have to do is rewind. Thanks for your hard work
Interesting and 'natural' teaching style - good on you
the other mistake on this video is a small one . . . that you placed the ratio as . . .
. . . between -1 and 1 . . . but you used less-than-or-equal to one instead of just less than one. You were correct on the -1 side of the ratio.
I'm sure that you properly explain this somewhere along the way . . . as you always do.
Thanks! . . . and GOD Bless you for all of these wonderful videos.
thank you @patrickMJT your tutorials are easy to digest and impactful.
Thank you sooooooooo much ,, you just give the idea in a clear short way .. I've watched more than one of your videos and every thing is cristal clear thanks to you ❤
I seriously prefer your method of teaching rather than MIT open courses
patrickJMT ..
you are the best youtuber ever !!!!
Your explanation for converging and diverging are BEAUTIFUL compared to what my Calculus book offers. Thank you, Patrick! ^_^
Hi Patrick
(10:58) Could you please help me understand why when you multiply zero by 1/3 , you get 1/3? Is not it a Zero?
Hi
how i wish u could replace my math teacher
you wıll be the only channel that i will give support
i accept cash, check, money order, paypal donations, patreon donations, beer, pasta, mango, hugs, high fives, low fives, fist bumps. probably lots of other stuff too.
Wow you're amazing Patrick! Very clear both verbally and on paper.
uh! I love this tutor ! He's the best! ! Thank you for your VIDEOS !
thank you sir. with out your help it would have been much harder to make it in all of my math classes!
@poroporoa yes
It's hilarious that my institution is using YOUR youtube video instead of their own professors! Great work, btw.
@krogan92 yes, this is divergent
@granadaza well, it is 'by definition' - otherwise, many statements about factorials would not work and one would need a special case. factorials are also used to count arrangements where order matters, so i have heard some say: how many ways can you arrange zero things: in ONE way, that is, not at all. personally, i do not find this that satisfying. to me, it is a needed to rule to make many formulas and statements correct. we can define as we wish, so long as we are consistent after that!
limit of ratio to the n power as n go to infinity will be 0 if the ratio satisfies -1< r < 1, not -1 < r
@khwezi1986 i would say you are wrong. a large number multiplied by a large number, is a large number...
Thankyou Patrick Ji you helped in getting 8 pointer. Love from India 🇮🇳
...I think this is the first math lesson I actually enjoyed...
Great video! you are always spot on with the explanations. Q: Just have one question, when you separated the denominator into two 3^1 times 3^n, how is it that it does not changing the problem to 9^n if you where to pice it back together?
You can't imagine the immensity of my like dude, you saved my life!
these videos are AMAZING! plus i LOVE the way you write!
10:40 .....I'm simultaneously laughing and studying at the same time....who would have thought it
Youre the greatest Señor JMT
what is the rule that makes the last (2/3)^n convergent if between -1 and 1?
@enjoyablesounds i think i am not sure what you are saying
clearly it is magic
Patrick, you are the real MVP!
You're the best out there Patrick.
-from Egypt with love -
@patrickJMT yes that is why your videos are great for me to learn further. keep it up!
Situations that happened after 5:29 made me laugh :D Thanks Patrick.
thx for the great videos everytime! just like everyone, I owe you.
That magic math made my day too.
Hey patrick I'm a little confused. Could you just look at the ratio of the coefficients and say the limit equals 2/3? This of course ignores the "+1" since adding one to infinity will have no effect. Thank you for saving my butt on countless occasions with these videos!
You are so much better than thattutorguy or whatever. I'd rather pay you than that guy for your wonderful youtube videos!
I get everything but how did you know it converges to zero though? Thanks for all the videos you post.
Just to make sure, that last example converges at 0 right?
I really appreciate this video it helped me a lot, thank you patrick JMT
so Patrick, the last one is to be converge?
Well... I'm studying this, I read my notes but still didn't understand
But after watching ur vid, totally understand :)
thanks! :)
@patrickJMT Thanks fir teaching us
As of last week I started studying "sequences and series". Again, the branding chosen inappropriate and unnecessarily confusing , not distinguishable at all. I would leave "sequences" as it is but would refer to "series" as "add-series" or better yet "add-sequence or sum-sequence" simply because now, in the word the clue of summation already has been giving in the initial descriptive sense. What do you think?
well, you can show series 1/n diverges even though the terms approach zero... easy argument to prove it!
Youve helped Me so mucch !! stay Blessed. Loads of prayers for you! 😊Keep the good work up!
You're doing so much man. Thank you so much.
It help me so.much to understand the sequence....
Time to cram for the AP Calc BC test.
that caption made me laugh thx Patrick lol
i love you, helped me get an A on my AP CALc BC test!
My whole math is magic.
@akukurt1 it seems to not work for people in certain countries... otherwise a couple of people sent me $5 the other day, so it should be working : )
ya, it makes sense that it is not indeterminate... a big number multiplied by a big number is a big number... no ambiguity there
@Ashenfly i was probably baked when i made the video
Hi Patrick I have an upcoming exam on these but my problem is that I find it difficult to know how to start these sorts of problems (testing divergence/convergence). Are there patterns or techniques that I should recognize so I automatically know if I see something, there's a certain way to do it. Please reply thanks!
Thank you for your videos, You've explained it nicely and its written out. (I like the magic math at the end :P )
Patrick, can you make a playlist of series and sequences, so we can see the videos in order?
Patrick, I'm doing my IRP on a math related topic and I'm not sure where to start... I trying to figure out why a repeated algorithm on a twisty puzzle, like the rubiks cube, always reverts itself back to its original state. I don't want a direct answer, because I want to do it on my own, but if you can head me in the right direction to success, it would be much abliged. :)
@Johannady lots of sequence and series stuff
hey man ur doing great job here u explane vary well every thing thax sir its great
Im soo doomed for my AP Calc BC exam!! I could really use the credit for college!! Regardless, this is the best place to come to review/learn something!! Thank You!!
because (2/3)^n gets closer and closer to 0 as the n term gets closer to infinity. so you can basically say that it is 0
holy shit, you're better at explaining than my lecturer zzz
@Aman1238 then you have a geometric sequence.
its good to see that even good mathmetitians make easy mistakes just shows we are human :P.
thanks patrick
@khwezi1986 what would it be?
"THIS IS PATRICK!"
In US when you write a number such as .1, you don't write the zero before the point cause it would be a leading zero right? In Brazil we write it 0,1 (yes, with a comma).
Great video! Thanks a lot! the magic math made me laugh xD
I wish I knew about these videos when I went over this convergence and divergence.
so the rule at the end tells you it becomes 0 or just tells you it converges?
I was hoping you would have a video for sequences.
This helps me so much.