Taylor Series and Maclaurin Series - Calculus 2

[@TheOrganicChemistryTutor]

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[@richmondamore8836]

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[@Sneaky1ne]

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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[@kxngmar2748]

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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[@lesegomokgabudi5798]

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

[@tyscott4949]

I find it funny that I come across " The Organic Chemistry Tutor" -- and listen to a "tutor" run circles around calculus instructors on KZbin 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.

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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!

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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!

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Hey is this 'TAYLOR SERIES' taught in high schl or clge in the US??

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@@iqrakhanamansari8670both depending on your level of math

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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.

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There's no such thing as A in Calculus

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Hey...is this 'TAYLOR SERIES' taught in clge or high schl??

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@@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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I never did precalculus or calculus 1 and I understood this , wow... I didn't know what a factorial was and it is so fun..

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Thanks for taking into consideration every little details. You made me understand Taylor and Maclaurin Series very well.

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I stopped going to the sessions and prefer to go get my attendance in and leave class. Professor is useless, this is priceless!

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I have a calc final today and I had no idea what I was doing until rn thank u so incredibly much . When everyone has been sure I’d fail , I’d watch ur videos and turned up with some of the highest grades in the class . You r a life saver if I knew u and could pay you 1000 dollars I would but unfortunately I’m a poor student

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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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My calc final is later on today, thank you so much literally you are the only actual teacher I have

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I'm at a point in my class where the textbook is zero help. I have no idea what its talking about anymore. This, however, is saving me and getting me through the class. Thank you so much!!!!

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11 months later and I still have the same philosophy. Taking Differential Equations now and brushing up on my series knowledge. This is the video that just keeps on giving. You're a legend!

[@hannahdo980]

Thank you so much! Didn't expect to understand Taylor and Maclaurin series this easily...

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passive aggressive XD

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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.

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God bless you Organic Chemistry Tutor. God bless you.

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Thank you so much! Your videos really help me fill in the holes I missed in calculus originally.

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Same here Emma. JG's majestic explanations and working through a variety of questions have excited my interest in Infinite Series. Utube was not there when I struggled with this topic. I didn't quite learned Combinatorics when I studied it. I am preparing to start the BS in applied and computational mathematics. We ought to support and subcribe to JG's Utube channel.

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I HAVE A CALCLUS FINAL IN ABOUT 3 HOURS, I HOPE I PASS THIS COURSE. THANKYOUUU FOR THE EXPLANATION

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An incredible coverage of the Taylor and Maclaurin series. Great work

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Passed my calculus thanks to this man.

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I have an exam in 30minutes and I just learnt this for the first time..

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I hope you still passed well ? 👍🏾

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Thank You for helping me for my exams.

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thank you very much! very helpful, studying at 2am for the tomorrow exam.. tired of reading the text so your video really helped

[@georgesadler7830]

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 KZbin TV with the Organic Chemistry Tutor.

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