Taylor Series and Maclaurin Series - Calculus 2
This calculus 2 video tutorial explains how to find the Taylor series and the Maclaurin series of a function using a simple formula. It explains how to derive the power series of composite functions using known Maclaurin series of elementary functions.
Full-Length Math & Science Videos:
/ collections
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Series Tests - Practice Problems:
• Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
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Power Series - Function Representation:
• Power Series - Represe...
Finding The Power Series:
• Finding Power Series B...
Power Series - Representation By Integration:
• Power Series Represent...
Power Series - Representation By Natural Logs:
• Power Series Represent...
Taylor & Maclaurin Series:
• Taylor Series and Macl...
Binomial Series:
• Binomial Series
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Parametric Equations:
• Parametric Equations I...
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part of being a good student is also learning for yourself by looking for proper sources, such as this one, but be certain that a true understanding of the matter is not achieved by watching this video alone, although it does bring us a long long way ahead of just the school lectures. Also, exposure in class combined with these videos is much more effective than just the videos. Make no mistake this guy also maybe saved my finals
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0:00 Taylor series for function f(x)=ln(x) centered at a=1 7:14 Taylor series for function f(x)=e^x centered at a=3 10:49 Maclaurin series for function f(x)=sin(x) 17:05 Maclaurin series for cos(x) using Maclaurin series for sin(x) 23:02 Maclaurin series for cos(x^2) 24:28 Maclaurin series for xcos(x) 25:30 Maclaurin series for function f(x)=x^2 e^(-x) 27:31 Maclaurin series for function f(x)=cos^2x
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I didn't have even the slightest bit of intuitive understanding of Taylor Series expansion from 3 hours of reading my textbook. This one single video explained the entire concept perfectly. You're an absolute lifesaver man.
Same. That's why I'm here at 2AM prepping for my calc quiz tomorrow at 6:30 PM. :,,,)
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@Lucas Kincanyon Yeah, if you are watching at 2AM You're basically screwed
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i’m watching this video to put myself to sleep and i have accidentally learned things
WHAT???????
Cuz your subconscious worked on it while you slept lol
My AP calc test is in 3 days. This is the first time I've thoroughly understood this topic. You, sir, are a god next to the American education system
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wow, i've been taught taylor's series in class, review sessions, recitations, and youtube videos. this explanation is by far the best one at helping me understand it. i feel much more confident about taylor's series now. thanks a lot!
i had no idea on how to solve Taylor series and its younger brother Maclaurin series....but now i have an idea. Thanks a lot my brother
I want to thank you so so much! my professor and IA made this series so hard to understand during lecture/discussion, but you made it so easy to understand!
I find it funny that I come across " The Organic Chemistry Tutor" -- and listen to a "tutor" run circles around calculus instructors on KZhead and in the classroom teaching calculus II. I have spent about an two hours or so taking notes reading reference calculus books and digesting the Taylor Series and at the same time find it soothing that things are becoming clear, what once was amiss, in the midst of the fog. Thank you, I will join the page when I start my calculus class this summer of 2022.
All I can say is WOW!! Thank you so much. You have no idea the amount of knowledge you're dishing out there. I can now boldly flex my new found powers in solving Taylor and Maclaurin series. You are a life saver.
Thanks for taking into consideration every little details. You made me understand Taylor and Maclaurin Series very well.
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Hey is this 'TAYLOR SERIES' taught in high schl or clge in the US??
@@iqrakhanamansari8670both depending on your level of math
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I'm able to work on my homework not by reading the prescribed textbook but by watching these videos. Thank you so much!
I remember learning this. I got an 'A' in the class. An 'A' in Calc I, II, and III. Now, I just can't remember why I learned it and I never used it since I graduated.
That happened to me when I was a undergrad barely used calculus until Atmospheric Dynamics decided to retake Calculus1-3 when I went to grad school occasionally I use Calculus but the computers do the calculations it’s good to know depending on the profession
There's no such thing as A in Calculus
Hey...is this 'TAYLOR SERIES' taught in clge or high schl??
@@iqrakhanamansari8670 College. I'm pretty sure he meant college undergrad (the first few years of college, required for an associate's degree or bachelor's degree) vs college grad school (college to get a master's degree or doctorate).
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this covers everything about the calculation of Tylor series! Amazing!
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An incredible coverage of the Taylor and Maclaurin series. Great work
Thank you so much! Didn't expect to understand Taylor and Maclaurin series this easily...
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Thank you! The part that helped me most is when you are making the summation notation of the function. Your red notes show what part of the expression is n = 0, n = 1, n = 2, n = 3, n = 4 @ 10:04 . This was so helpful. I could not find any visual in my textbook that showed what part of the expression relates to which n. But you laid it out in red and that helped me make sense of it all. Thank you again!
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Once again the Organic Chemistry Tutor has come through!
I like how you always bring it back to that larger formula =, and you parse out what the series will be from there. It makes it very repeatable.
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That was awesome, it has just cleared all the doubts I had regarding to single variable. I just want to ask that what if there will be two variables in the function
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Professor Organic Chemistry Tutor, thank you for explaining the difference between Taylor and Maclaurin Series in Calculus Two. The two names that are most commonly associated with Power Series are Brook Taylor and Colin Maclaurin. Elementary and Transcendental Functions can be represented as Taylor/Maclaurin Series. This is an error free video/lecture on KZhead TV with the Organic Chemistry Tutor.
what is this AI comment
God bless you Organic Chemistry Tutor. God bless you.
studying an hour and 14 minutes before my final calculus exam wish me luck
It took me only 7 minutes to understand taylor and maclaurin series after watching 1 of your examples. Before that, I was scratching my head for 1 hour in class wondering what my professor was doing to get the taylor/maclaurin series.
My maths teacher told me to learn the maclaurin series of sin and Cos but you just give a shortcut by taking the derivative of sin x in question 4 thank you very much sir 🥰🙏
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Thank u so much sir ..am nt understanding dis in my cllge ..but ur explaining me step by step ...am very great thank full 2 u
I HAVE A CALCLUS FINAL IN ABOUT 3 HOURS, I HOPE I PASS THIS COURSE. THANKYOUUU FOR THE EXPLANATION