Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy

Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy.
In this video, I use Maclaurin/Taylor series and the Alternating Series Estimation Theorem to approximate a definite integral to within a desired accuracy.

Category:

Education

Tags:

• math
• calculus
• definite
• integral
• taylor
• maclaurin
• series
• alternating
• estimation

[MutantNinjaFly]

Why do I have to learn this? I will NEVER need to know calculus to be a biochemist, by my degree requires it. And if I do need to know calculus, then I'm already done in anyway because I ABHOR it and SUCK at it and would have to give up my passion to go find something I actually can do well. Guys please tell me I will pretty much never use this waste knowledge in my job.

PS thx Patrick, I may hate calc, but I need to keep my GPA up. cant do it without you!

[patrickJMT]

@MutantNinjaFly glad you like the videos but... do you complain about every class outside of chemistry, or just math? do you really think that math (calculus) has no place in chemistry? i just did a google search and found a ton of places where calculus is super important in chemistry. you remind me of a student i had once who wanted to be an engineer, but hated calculus and felt it had no point. i just gave her a blank stare when she said that....

[ramhamla]

wtf, why are ppl disliking this, so helpful

[patrickJMT]

@ramhamla well, ya can not please everyone all the time! especially on the internets...

[melisantika]

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[Onepissite]

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[bebeheuy]

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[willamricard]

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[anakmudajaman]

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[liquidstl]

@patrickJMT Patrick, I'm studying engineering, and I would DEFINITELY be Lost without the 3 semesters of Calc. and Differential equations i've had... Just following along in a lecture or reading a text book Requires knowledge of at least the ideas in calculus, such as surface integrals, Laplace transforms, derivatives, gradient,etc... so just saying that I AGREE with you, and found this person's comment to be funny as well as a little ignorant.

[kseslayer]

@MutantNinjaFly

ya i dont see how you think math has nothing to do with bio chemistry...

a) chemistry is the science of electron physics which is described by linear algebra and calculus (ie electron densities, quantum physics)

b) during experiments you will have to extrapolate values and with out calculus it would be impossible to determine the equations that describe the system your working with...

ring theory<linear algebra<calculus<physics<chem<­biochem<bio< everything else

[cyrus93]

@ramhamla haha i'm pretty sure the dislikes are about the content; there's no doubt the videos are super helpful but god damn i hate this part of calculus. i do see its importance though.