Power Series - Made Easy! | Power Series Representation of a Function | Math with Professor V
Vložit
- čas přidán 19. 04. 2023
- How to find the power series representation of various functions MADE EASY! I break down the process into 3 main cases, and work through lots of examples so that you can become a professional at mastering this concept as well.
Need more help with sequences and series? Check out my other video lectures already on my CZcams Channel:
Power Series: • Calculus 2: Power Seri...
Representation of Functions as Power Series:
• Calculus 2: Representa...
• Calculus 2: Differenti...
Finding Taylor and Maclaurin Series for Functions: • Finding Taylor and Mac...
Calculus 2 Video Lectures: • Calculus 2 Video Lectures
Don't forget to LIKE, Comment, & Subscribe!
xoxo,
Professor V
linktr.ee/mathwithprofessorv
Calculus 2 Lecture Videos on Integration:
Integration by parts: • Calculus 2: Integratio...
Tabular Integration: • Integration by Parts -...
Trigonometric integrals: • Calculus 2: Trigonomet...
Trigonometric Substitution: • Calculus 2: Trigonomet...
Partial Fraction Decomposition: • Calculus 2: Integratio...
Strategy for Integration: • Calculus 2: Strategy f...
Improper Integrals: • Calculus 2: Improper I...
Trig Review:
Unit Circle: • Trigonometry: Circular...
Trig Identities: • Precalculus: Trigonome...
Sum and Difference Formulas: • Precalculus: Sum and D...
Double Angle & Half-Angle Formulas: • Precalculus: The Doubl...
Calculus 3 Video Lectures:
• Calculus 3 Video Lectures
#mathwithprofessorv #integration #partialfractions #partialfractionmethod #partialfractiondecomposition #trigonometricsubstitution #trigintegrals #trigsubstitution #integrals #integralcalculus #calculus2 #calculusvideos #calculus2videos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #calculusvideos #integrationbyparts #integralcalculus
Join this channel to get access to perks:
/ @mathwithprofessorv
Socials:
IG: @mathwithprofessorv
TikTok: @mathwithprofessorv
I'm also an Amazon influencer, so feel free to support and shop:
amazon.com/shop/mathwithprofe...
EXCITING NEWS: You can now sign up for my Patreon at the link below!
/ mathwithprofessorv
My Patreon is a place for students to have access to exclusive ad-free content not available on my CZcams channel! Access to the library of additional videos, worksheets, and more is available with the "Star Pupil Package" tier for just $9.99/month (USD).
/ mathwithprofessorv
This video is copy protected and cannot be downloaded or used in any capacity without my permission.
At 12:37 isn't it 2^(4n +4) instead of +2?
Yes! Thanks for catching that! Whoops 😬
I have not been able to find a video on this concept that was so well-explained, thorough, and REASSURING. It's one thing to understand the material and make a video about it, but it's another thing to be able to teach it as thoughtfully as you did. Thank you SO much.
You are so very welcome! Thank you for your comment-I truly appreciate it! ☺️❤️❤️❤️ I put my heart into teaching math and it brings me such joy and fulfillment when I hear feedback like yours. Wishing you lots of success!!!
Your unwavering dedication and the extraordinary clarity in your explanations have left me in awe. You truly embody the essence of an exceptional teacher, and it is evident that we could greatly benefit from the influence of more individuals with your remarkable pedagogical skills.
Thank you so much for your incredibly kind words-it means a lot to me since I’m passionate about what I do and want to make learning calculus as easy and accessible as possible for my students and students around the world. ☺️
I haven't found a more concise explanation for power series representation online than this - this is really well done, liked and subscribed
Thank you so much for your support and kind words!!!! 🙏🏻☺️
You're so right mistermeatballs7800
agree with u
Isn’t there an error in q3 distributing ( 2^4)^(n+1)? Should it not be (2)^(4n+4)?
I was having an anxiety attack because I couldnt figure out how to do this, not only did you explain everything perfectly and answered all my questions, you assured me and made me feel okay, thank you
Of course-it is an honor! Comments like yours make me know this is all worth it and I’m doing what I’m supposed to do. You are more than capable of mastering this topic, and a professor who understands it thoroughly can explain it in an understandable way that isn’t intimidating. Wishing you lots of success!!! ☺️☺️☺️🫶🏻🫶🏻🎉
this is the best video of Power Series Representation of function in youtube, thank u so much, this was very helpful for studying
You’re so welcome!!!! Thank you for your kind words 🙏🏻🙏🏻🙏🏻💕
I was literally scribbling all over my homework panicking again, because I did not understand this at all from the class I had. After watching this video omg I feel so much better! It's because of people like you offering this help on youtube for free that one day I'll be able to get my engineering diploma. Thank you so much!
You’re so very welcome!!!! ☺️☺️☺️ Wishing you lots of success with your education and career goals! Please share my channel with anyone and everyone-I would appreciate it! 🙏🏻🫶🏻
@@mathwithprofessorv of course, I definitely have been sharing it with all my friends!
Genuinely an amazing way to get this topic down. Just straight to the point
I was stressing so bad about this because I didn't understand it at all and I have a test on it tomorrow. Thank you so much this genuinely got me from not understanding it at all to fully understanding it. THANK YOU
Glad it helped! You are most welcome. 🤗
Well done. The lecture is very clear. No confusion.
Awesome technique! Thanks for sharing
I found this section to be so confusing, but your examples helped so much!! The way you showed how the differentiation and integration was so clear and helpful. You saved my Calc 2 grade thank youuu. Liked and subscribed!!
I'm so glad! 😀
Great explanation as usual.You deserve far more views in my opinion.Thank you
Thank you 🙏🏻 I so appreciate your comment and support!!! Feel free to share and subscribe ❤️
Really helpful!!!!! And really clear!!!
I haven't found anyone with better and more detailed explanations than you, thank you so much!
You’re so welcome!!!!
Thank you so much Prof! This is awesome and love the clarity in your videos.
Thank you so much!!!! ☺️☺️☺️
this is why you got my subsc. it's valuable is overlasting . thanks in advance from ethiopia🎉
I owe you my life tbh THANK YOU SO MUCH.
😂😂 oh my goodness, you are so welcome my dear!!!! 🫶🏻🫶🏻🥰🥰
you make learning this actually fun with your personality, thank you.
That means so much to me!!!! You’re very welcome! ☺️
made it to the end, super helpful, thank you so much
You’re so welcome! ☺️🙌🏻💕
Excellent!!!!, thank you
So helpful. Thank you.
Love the updated video!
Oh I’m so glad! 😊🎉🫶🏻
Powerful stuff! 😊
😂😉 Indeed!
Actually I’d love to say that I’m grateful to have found your channel
Thank you for your comment! I’m grateful for you 🙏🏻☺️
very clear and informative
This video was amazing. Thank you so much!
Yay I’m so glad! You’re welcome!
Thanks Prof V, I passed Calc 2 with your help!!!
Yayyyyyy congratulations!!!! 🎉 So happy for you!!!! ☺️☺️☺️
Very impressive! and thank you for sharing your wisdom. Great teaching style
You are so welcome! Thank you for your comment ☺️
god bless you, im sharing this with my whole class
Thank you so much! 🫶🏻🫶🏻💕💕 Happy to help!
best video on power series representation!!!
Thank you so much! ☺️☺️
Thank you very much for the video!
You’re very welcome! ☺️
Seriously great video, this is helping me out with my final preparation. Perfect teaching!
Glad it was helpful! 😊😊
this is the best tutorial for power series representation!!! Thank you so much, I was so confused before watching this video ❤
So happy to help!!! ☺️☺️☺️🎉
I follow you from Turkey and your videos are absolutely perfect to me. Thank you.
You’re so welcome!!!! ☺️☺️🫶🏻
this is exactly what i needed, thank you
I'm so glad! 😃
I was so lost and confused with power series. This really helped me, thank you!
You’re welcome!!! Happy to help!
Made it to the end! Thank you for this video!
Woot woot!!!! 🙌🏻🙌🏻🙌🏻 You are so welcome! 🤗
This really helped me. Thank you. ❤
You're so welcome! 😉
You're awesome. Thank you so much.
You’re so welcome! 🥰
Excellent video! thank you very much.
You are welcome!🤗
you explain so cool! the way you made it into 3 groups was great so now ik what to do while going through
problems
Oh I’m so so glad!!!! It makes the topic so much more manageable, right? ☺️
absolutely! i have a question. what should we do when they want us to do this in reverse? like when we are given what we got as an answer here and wanting to turn it back to the function? (sigma to function as in finding the sum instead of going through function to sigma)@@mathwithprofessorv
Thank you for this great explanation
Glad it was helpful! ☺️💕
Thank you so much !!!!
You are so very welcome! ☺️☺️❤️
I love your videos! Thank you for making calculus easy :)
You're very welcome!
thank you so much for this you are my savior ❤️❤️
You are so welcome! 💕💕☺️☺️
I'm a trooper, I made it to the end. Holy cow, I wish you were my professor. Well Done!!!
Awwww yay thanks for your comment!!!! 🙌🏻🙌🏻 I wish you were my student too! Glad you liked the video. ☺️
Thank you so much you helped me to understand easy way
You are welcome!🤗
thanks i was really confused initially till i saw this video !
Oh I’m so glad! ☺️☺️☺️
love this
thank you so much , i was struggling💌
You’re so welcome!
You are a savior to humanity
It is my honor. 🙏🏻🙏🏻🙏🏻
don't know why but I love this channel XD
Oh, but why wouldn’t you? 😭🥹
You’re amazing ❤ thank you so much
You’re so welcome! ☺️☺️🫶🏻
Great work
Thanks alot
Wow
Most welcome 😊
Thanks more dear!
now i feel fancy😊😁 thank you SO much professeurs
Yay! 🙌🏻🙌🏻🙌🏻☺️You’re so welcome!!!!
nice and simple !
Thank you!
you have the neatest handwriting, very satisfying. great vid!
Thank you so much!!!! ☺️☺️
An excellent teacher
Thank you! ☺️☺️
Hello. Can a sum series in the form an.x^n have a convergence interval (-3/2,+3/2]? There was such a question in our exam, do you have any idea how to solve such questions?
Superb!!, you made everything so fun, plus you have amazing handwriting, thanks for the video. 😊
Thank you so much 😀 You’re very welcome!
Thank you. I am struggling to apply this to e^x/(1+3x)^2
Thanks alot ❤
You’re so welcome!
thanks for teaching me 🌷
it's actually 2^(4n+4) around 13:15 but it's a small calculating mistake
My pleasure 😊
At 25:22 is it (-1)^(n+2)? since we subtract one from the index and add 1 to all the n terms in the series?
Genuinely think this video saved my test grade. Thank you. This was so much clearer than anything I've seen thus far. Breaking down how you got to every step and thoroughly explaining everything is extremely helpful. Every other video I've seen and even my professor just fly through everything. So once again, thank you!
You are most welcome! Happy to help. Please share and subscribe, it would mean so much to me. ☺️🙏🏻
I did make it to the end, and I WILL be explaining the power series to my barista, in your honour.
🙌🏻🙌🏻☺️☺️🫶🏻🫶🏻🫶🏻
Great
This is very helpful. The rest of power Series videos on youtube are terrible for some reason.
Because they’re not by Professor V! 😎
perfection
😘😘🫶🏻
THank you so much for the helP!!!
You’re so welcome!
Life Saver
☺️🎉🫶🏻
YOURE THE GOAT
🙏🏻🙏🏻☺️🫶🏻
Ghaint beautiful explanation from india (Punjab)
Thank you so much! ☺️
God bless you!
Thank you so much! ☺️🫶🏻
what would be its interval @20:49
❤❤❤
At 30:16, the denominator inside the sum should be 5^n, not 5^n+1. I used this to help with some homework and it didnt work with 5^n+1, but did work with 5^n even with n=0...
No, you’re incorrect. I brought the 5 outside of the sum inside with 5^n, making it 5^(n+1).
❤
10:14
Isn’t there an error in q 3? Shouldn’t the distribution of( 2^4)^(n+1) be 2^(4n+4) not 2^(4n+2)?
Yes, I addressed it in a comment a while back but now I pinned it so everyone can see. Good catch!
I'm a trooper i made it to the end..
Yay!!!! Thanks for your support! Hope you are a boss at power series now 👍🏻☺️
😭😭😭😭😭😭 oh maths is mathematicing me now yoh 😭😭😭I am following the way you're simplifying it but yoh maths😭😭😭
Thank you ❤❤❤👌👌✌️✌️💥🫰♥️♥️♥️
🤣🤣🤣🤣🤣
You’re very welcome!
Im a trooper thanks boss maam
🙌🏻🙌🏻👏🏻🫶🏻☺️
I am a trooper and I made ut to the end🎉
Yay congratulations!!!! Thanks for letting me know! ☺️🙌🏻🙌🏻🙌🏻
bro cooked
I hope that’s something good 🙏🏻