I cant personally thank you enough for making calculus II so comprehendible. it is a real shame that i didn't find your videos before flunking the corse. however, watching your videos I know that I can get a better grade next time round. cheers.
@St1florida That's awesome to hear! Sort of. :) I'm sorry about the CALC class, but glad you found what you needed in this video! Thanks for your support!! :)
@jayspenh Only because I haven't had a chance to do videos about them yet. I'm adding content as fast as I can all over CALC I and II topics. Hopefully I can get Harmonic Series uploaded sooner rather than later! :D
thank u so much.:-) This was two days before my exam and i went to bed but i couldn coz i was worried....but thanks to you i learnt something while relaxing:-)
Actually the final answer should be 7/33, as it is customary to use the most simple fraction possible. Wow, that is a complex way of just dividing your recuring number by 99, since 21 has two digits, if it were .456 recuring (three digits in 456), your fraction would be 456/999 or 152/333.
Ever get a professor that knows what the problem is? Not that often, huh. What do they care? But here I'm trying to anticipate the answer and of course I forgot the 21/100. and got L=1.010101.... wrooong.... So guess what Prof. Krista points out as soon as I click 'resume' -> yep, you guessed ut.... the 21/100 ('! deleted - nothing factorial here... heh heh..). Try not to forget the coefficient - just because it pops out of the summation... She not only knows how to solve the problem, she knows what the problem (for the rest of us...) iS! Professor Krista's the best!
+Soc23Box That "a" just represents a coefficient out in front of the series. If there isn't a coefficient, then really the coefficient is actually 1, so the formula turns into 1/(1-x). You could also think of the formula as a[1/(1-x)]. So really it's just the 1/(1-x) that gives you the sum of the series, and you've just got to remember to multiply by "a", whether "a" is 1, or any other number. I hope that makes sense!
that seemed a very long method to find the fraction of a repeating decimal. an easier way would be; let 0.21212121....=x 100x=21.212121.... 100x-x=99x=21 therefore x=12/99 much easier
@squirealan That's soooo awesome! I know how much it sucks to sit through class when you're not getting it, and how good it feels when it CLICKS. :) Thanks for letting me know, because it makes me so happy!! :)
I find it awesome that you take the time to respond to many of these comments. Thanks again for the videos.
I cant personally thank you enough for making calculus II so comprehendible. it is a real shame that i didn't find your videos before flunking the corse. however, watching your videos I know that I can get a better grade next time round. cheers.
you're welcome!! i LOVE it when people comment, so i always try to respond to them!! :D
@St1florida That's awesome to hear! Sort of. :) I'm sorry about the CALC class, but glad you found what you needed in this video! Thanks for your support!! :)
@jayspenh Only because I haven't had a chance to do videos about them yet. I'm adding content as fast as I can all over CALC I and II topics. Hopefully I can get Harmonic Series uploaded sooner rather than later! :D
thank u so much.:-)
This was two days before my exam and i went to bed but i couldn coz i was worried....but thanks to you i learnt something while relaxing:-)
very thorough and well done! thanks so much, the infinite series chapter has been tough
You're welcome!
@MrWonderfullable I love that feeling when things start to click. :) Glad I could help!
YOU ARE AWESOME!!! Thank you for these fantastic, easy-to-understand videos!
Aw thanks! I'm so glad you like them. 😊
Stay confident and keep practicing and you'll definitely do better next time around. :)
@starofcctv94 I agree. I'm trying to teach the method, not really the particular problem. :)
Very thankful to you for posting this video
I so much love you and your strategic teaching method
You're inspiring
Thanks so much. I got in 14 minutes what i couldnt get in a 2hour calc class.
I'm so glad you liked it!! :D
ha...that may be too much stress. :) Glad you like the videos!
I hope it helped!! :D
awwww thanks! you're very welcome, i'm glad it's helping! :)
Mam your teaching style is very good. Can you please give some lecture of statics and dynamics. I am belong to India.
You're so welcome! :)
@saqar8888 You're welcome!! :)
Are you a math major? Or have you just taken higher level math courses required for engineering/computer sciences?
Very good video. Thank you for sharing.
Someone answer this quick!! Is r positive or negative? Bc i thought it was |r|
r can be negative, but when you plug it into |r|
You're welcome! :)
This is an amazing video. I feel much more relieved after I watch your videos on Calculus topics! You should teach at Penn State University haha :)
The longer method shows more of the fundamentals of infinite series, though. What you did here was simple algebra.
Actually the final answer should be 7/33, as it is customary to use the most simple fraction possible.
Wow, that is a complex way of just dividing your recuring number by 99, since 21 has two digits, if it were .456 recuring (three digits in 456), your fraction would be 456/999 or 152/333.
math is wonderful
good solid explanation! Thanks
Thanks!
Ever get a professor that knows what the problem is? Not that often, huh. What do they care? But here I'm trying to anticipate the answer and of course I forgot the 21/100. and got L=1.010101.... wrooong.... So guess what Prof. Krista points out as soon as I click 'resume' -> yep, you guessed ut.... the 21/100 ('! deleted - nothing factorial here... heh heh..). Try not to forget the coefficient - just because it pops out of the summation...
She not only knows how to solve the problem, she knows what the problem (for the rest of us...) iS!
Professor Krista's the best!
Why are you using 1/(1-x) for the sum formula instead of a/(1-x)? is there a difference?
+Soc23Box That "a" just represents a coefficient out in front of the series. If there isn't a coefficient, then really the coefficient is actually 1, so the formula turns into 1/(1-x). You could also think of the formula as a[1/(1-x)]. So really it's just the 1/(1-x) that gives you the sum of the series, and you've just got to remember to multiply by "a", whether "a" is 1, or any other number. I hope that makes sense!
12?! That's impressive!
i really love this video
only two intro calc classes. the rest i've taught myself. :)
Do you have any videos with sequences of functions ?
@bcjn16 Neither! I just love calculus! .....sorry about that earlier, wrong account :)
Where can I find an example of something like finding the sum from 0 to infinity of (2^k)/k!
Clifford Williams Similar: th-cam.com/video/uMLBA6CHR1E/w-d-xo.html
(x-1)(x^2-2).......(x^49-49)
what is the coefficient of x^1223 ?
you can find me here :) facebook . com/integralcalc
I'm so in love!
@pigpigpigwwf You're welcome!! :)
thats gcse level, its easy. this gives you more intuition.
good job
you are amazing thanks alot
Only for geometric series. :)
this is awesome! Please be my professor!
that seemed a very long method to find the fraction of a repeating decimal. an easier way would be;
let 0.21212121....=x
100x=21.212121....
100x-x=99x=21
therefore x=12/99
much easier
@cryora YAYYYYY!!!! :D
@TheIntegralCALC okay great thanks whenever you can =]
very very \ thaks
nice
Subscribed!
Thank you so much!
good
I'm a physics major and I feel like I should be paying you my tuition money...
That works :)
Or you could just do this
x=.212121....
100x=21.2121....
(100x-x)=99x=(21.2121..-.2121...)=21
So 99x=21
x=21/99
I like looking at your arms jiggle when your writing.nice!
:)
@starofcctv94 x=21/99 :P but ur points still stands
Good video,nice arms too.
u made it kind of difficult on yourself..... why didn't you just write it at 1/10^2, 1/10^4 , blah, blah , blah
I respect your work but I noticed some of your math language wasn't very clear.
>implying this shit takes any intelligence
I have a crush on you lol marry me!!!
@u0432865 Aww thanks!! I'm so glad it helped!! :D
@fingerboy18 Absolutely! Thanks for watching!! :)
you're welcome!! :D
LOL! :)
Thanks!
@squirealan That's soooo awesome! I know how much it sucks to sit through class when you're not getting it, and how good it feels when it CLICKS. :) Thanks for letting me know, because it makes me so happy!! :)
@degio123 I'm so glad! And GOOD LUCK!! :)
sounds good...automatic "A" for you. :)
you actually make sense! ive had such anxiety over my cal 2 but watching this it was like oh!.
thanks alooooot ! i never expected to understand what's going on with series :S !!
@MrAmansyed I'm so glad! :D
@MrSaad1932 Indeed! :)
Wow... I understood 99% of that! You make it so easy and I am only 12!!
yeah this is the convention. i like it better.
Intelligence - check
attractiveness - check
are you seeing anyone?
zomg, do you have a boyfriend? (or girlfriend, that's cool too)
i'm glad!! :D
thanks alot! now i feel alot better for my upcoming exam =)
I won't forget to not forget the constant out front ever.
How come you do not have Harmonic Series on your website?
THANKS ALOT!!!!!!
a nice explanation ... and a nice shirt too
=7/33
Good job! Excellent walk-through.
Great video, how much math have you had?
it very very good explanation...
good video, thanks for sharing.
you are amazing thanks alot
but 12/99 = 0.12121212....
lvoehewshit
i love tou
Thank you so much. It took a PhD student like a week to try to teach me this. You're the best.
Clear, no fancy jargon, and a useful "how" instead of "why" explanation. Absolutely excellent.
21/99=7/33
.
when do we use 1/(1-x) ? everytime?