Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series

Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series

[GeneralRBX]

Everytime my mind drifts he always says "Are you listening?" or "Look up here"

[jacobvandijk]

Calmness and patience. This man is born to teach. Great viewing!

[CardboardShellEats]

I'm taking Calc 2 fully online (summer course, accelerated pace) and was starting to feel like a helpless little idiot in the last few modules, because the online text doesn't give enough examples to lock in concepts (and the embedded video examples don't break anything down). Anyways, on my journey towards an inevitable mental breakdown, I found these videos, binge watched lectures 9.1-9.8 over the last two days, and my sanity is restored. So THANK YOU Professor Leonard! (And an extra thank you from my friends and family who no longer have to deal with my stress.)

[tharsaaneswaran]

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[ProfessorLeonard]

@thennekfox
Yep, you're absolutely correct.  That was a typo.  I corrected the mistake in class, but the video was already made, haha.  Good looking out and please make the correction for all the rest of you who are watching!

Leonard

[samenterprise]

School can be challenging and frustrating at times, especially when you encounter lecturers who are difficult to understand. It can also be disheartening to spend a lot of money on tuition and still feel like you're not getting the education you deserve. Professor I take this moment to express my sincere gratitude for the amazing work that you do. Your lectures and explanations have been instrumental in my learning journey, and I truly appreciate the time and effort that you put into creating such valuable resources.

In fact, I have found your work to be even more helpful than that of my college professors. Your passion for teaching and your ability to break down complex concepts into easily understandable parts have been a game-changer for me.

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[fuckit]

Went from a 52 on midterm 1, to a 85 on midterm 2, your videos have helped an insane amount with studying and supplementing for shitty professor! For the first time since the beginning of the semester I feel like I actually understand what's going and like I can pass calc 2, thank you so so much!

[helloworld-txqp]

Best professor - 4 years after this was posted and still saving my grade <3

[keinbernd]

if I do taylor exercises everyday will I also get buffed?

[EaglesFan]

Professor Leonard, I am in Freshman Calc 2 in college and hardly keep up with my professor, but your videos are helping me keep up in class! Thank you so much for the great work!

[yousufdx]

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[niclaslofvenmark]

Love how the girls were all like: Oh I can't miss this! *winkwink
Leonard: Well you can always watch the video
Girls: It's not the same

[GO-fscz]

This ladies and gentlemen is a true definition of a professor!! Thank you for these videos.

[thennekfox]

I have not gotten to the end of the video yet. So perhaps someone noticed and this mistake was corrected. But at around the 2h 17m mark, you explain the series expansion of ln(1+x) to be the sum from n=0 to infinity of (-1)^n *(x^n)/n.

I am 99% sure that this should be the same series but fro n=1 to infinity, since your first term is x, x^0 = 1, see what i'm sayin?

Seriously though, your lectures are saving my grade. Thank you.

[disciplefan]

This man is the king of explaining things to me like I'm 5 without making me *feel* like I'm 5. God bless him.

[djmixya]

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[MajaLevak]

I'm a mathematics student from Slovenia and I could watch your videos for hours and still crave for more. You really have a whole package, basically all that students want in a professor. I am definitely looking forward to trying to be as awesome teacher as you are someday. Thank you for all the good work. It's the best :)

[anand_aishwaryaa]

Thank you Professor Leonard :) It was only because of you that I could score an A on my cal midterm by just studying within 2 days. Appreciate your hard work

[biohelloeri]

Damn! This man is a legend! He should get nominated for some teaching price. I have stopped from going to lectures, instead I watch this man's videos.

[jessaminetrueman]

Thank you so much. You're the math teacher I never had.