Taylor and Maclaurin Series - Example 1

Taylor and Maclaurin Series - An example of finding the Maclaurin series for a function is shown. In another video, I will find a Taylor series expansion, so look for that one too! For more free math videos, visit http://PatrickJMT.com

Austin Math Tutor, Austin Math Tutoring, Austin Algebra Tutor, Austin Calculus Tutor

Category:

Education

Tags:

• taylor
• maclaurin
• series
• math
• algebra
• expansion
• centered
• at
• example
• calculus

[ian559fresno]

You are a legend at my school. Everytime someone's struggling like math we hear "Watch PatrickJMT videos" haha

[patrickJMT]

@ian559fresno that is very nice of you all, i appreciate the love :)

[Darkarium]

Great video but something with your mic is making an annoying noise in my left ear. Like a faint breathing / rumbling.

[patrickJMT]

@Darkarium yes, old mic, old video.

[ranger0785]

Yea, gotta agree with everyone else, you rock man. Thanks for doing this, it really is making a difference for a lot of people. I tell people about your videos in every math class I take. I know you make ad revenue off this stuff, but it's still awesome that you take the time to help the little guys behind you. Keep doing what you're doing because there are a lot of engineering, science and math diplomas out there that were granted partly because of your work. 

[patrickJMT]

@ranger0785 i do make a little money from this, yes. but for the first year and a half i was doing it cause i wanted to help and that has not changed!

[MonicaKn17]

Try crayon next. You haven't lived until you've done calculus in crayon.

[patrickJMT]

@Mig440 sorry m'lord

[kadir940]

thank you sooooooo much ... I love you man

[patrickJMT]

@wowwowweewow4wow search, and ye shall find

[wowwowweewow4wow]

Wow! you are so much better than my teacher! LIFE SAVER MAN! Thank you!!

I was wondering if you had any tutorials about like vectors and things.. like stuff related to de moivre theorem and stuff? It fine if you dont, you dont have to make anything, was just wondering..

[patrickJMT]

@da1booger13 fantastic or obnoxious, take your pick :)

[da1booger13]

@patrickJMT

Hahahha I've been looking for this comment! Hahahha it made me laugh the first time. Your sarcasm is just fantastic, man.

[alwysatthegym]

@myterribletube

I am currently using it right now in an aero design course. We have to find an accurate approximation for takeoff and climb performance of our planes. Many texts offer a simple equation to determine these performances but they are based off many assumptions. The taylor series is suppose to give us a more accurate representation. They also told use there was and almost always is a simpler way to solve an equation than using taylor series. Series are also helpful with orbits.

[MysterySultan]

@myterribletube A computer doesn't know what sin(x) means, but it does know what 1 + 2.1 + 3.2 + 4.3 + ......... forever equals

[ignitionSoldierStrik]

Thank you so much for your videos! I went back to school after 10 years since my last math class which was Calculus. I went back to school and started off with Calculus 2 and the only reason I made it because of your videos. I appreciate what you do and I wish you many good tidings!

[matdamond]

marry me. im a guy and im not gay but still, marry me

[patrickJMT]

@myterribletube this stuff provides a super basic way to study and find solutions to differential equations. physics is full of differential equations; they are everywhere. the newtonian laws of motion are differential equations, for example (you do not need this stuff to solve those though). super duper useful stuff. just google it, i am sure you can find some stuff on your own without much trouble at all if you are really interested.

[myterribletube]

can someone explain, where and why you would use this in real life,.. i need those who study physics to answer this, since math students have no idea, exept the numbers :)

[toutankham0n]

good work, from egypt :D

[redpunk]

i always sucked at series.  it's too bad they're so damned important

[DaveBandfanMatthews]

@DaveBandfanMatthews

Actually a 100 out of 10

[DaveBandfanMatthews]

@salomon0991

I give him a 10 out of 10



[axfndi62]

i survived calculus 1 thanks to patrick, but i'm glad im not taking calculus 2.....god, i dont wanna relive those days of sleepless nights and math terror.

[salomon0991]

@patrickJMT haaa

[patrickJMT]

@salomon0991 i give you the remaining 0.1 out of ten

[salomon0991]

i give you 9.9 of out of 10