Computing the Fourier Series of EVEN or ODD Functions **full example**

In this video we do a full example of computing out a Fourier Series for the case of a sawtooth wave. We get to exploit the fact that this is an odd function where f(-x)=-f(x)) as we can simplify considerably our computations of the Fourier Coefficients if the function is either even or odd.

OTHER COURSE PLAYLISTS:

OTHER PLAYLISTS:
► Learning Math Series
►Cool Math Series:

BECOME A MEMBER:

MATH BOOKS & MERCH I LOVE:

SOCIALS:

[NothingMaster]

This is called the hand waving method for finding the solution.
I love how you get super excited about solving these simple equations. Your enthusiasm is contagious.

[lukecaetano]

Thank God I found this man and was saved from the misery of my horrific teacher not explaining why the Sine in Bn goes to zero. grrr

[ricardoraymond]

Noting the wide range of maths topics you cover, you got to be the a know- all maths prof.
AMAZING. I am only an Accountant curious about Fourier series, and you have made it simple to grasp with the dot product analogy.
Cheers Prof.

[KarthiDreamr]

Thank you 🙏 for providing a deeper explanation 📚 of concepts instead of merely applying formulas directly, as some math instructors do on YouTube 🎥.

[makutascarlet]

I wish I came upon this video a lot sooner. I finally understand why I should care about the evenness and oddness of the function: computation becomes a lot simpler, and for my purposes, it can make code run faster. Thank you Dr. Bazett

[VictorAlfarochannel]

Sir, you truly are a great teacher. I aced my first test in Vector calculus, didn’t do so great on the next two. However, I watched all of your videos in the Vector calculus playlist and I aced it! You are amazing sir.

[xxshogunflames]

Fourier sequences have been coming up in my probability and data analysis courses. Awesome vid!

[thwlis]

I am a first year physics student and your videos on Fourier series save my life thank youuu<3

[jebo]

I'm on my third course of basically only using this guys playlists... How did people pass anything 100 yrs ago?

[danielprager]

Another great video, thank you! The summation at 9:00 for the sine terms should be n = 1 to infinity, rather than n = 0.

[eliotfan]

Dear Dr. Bazett,
Thank you for your informative video. I have a few questions however.
1. Is there a particular reason you did not substitute L for 2 at the end?
2. How do you, in general, find the value of L?
Thank you sir

[tristanblikman]

this was so easy to follow and understand. Now there's no chance i'll mess it up on my exam tomorrow :D

[pellumbmaraj]

I think that you need to have it from 1 to infinity, because at n = 0, we will have division by 0, which is undefined.

[peggi]

Great explanation.👍
but one thing. I think summation should go from 1 to infinity. not from 0 to infinity. You can also put n=0 in that b(n) and check that it gives undefined.

[avocadolover]

thank you for your clear and fun explanation. i aspire to be a math professor

[melm]

i'm currently failing my series and transforms class but maybe, just maybe i can do it with your help! i've watched this video atleast 10 times today and just finished working out a problem that would have been impossible for me this morning

[michaelzumpano]

That was great! You’re an awesome teacher.

[wakeawake]

The first term of this Fourier series at 9:15 is divided by 0, I'm confused plzz explain 🙏🙏, bty awesome video thnk u professor

[AbakwaPikin-vqhz]

Thank you❤❤❤
I think cos((pi)^n) = (-1)^n
Instead of (-1)^(n+1)

[dovidglass]

Thanks again for this awesome series! Right at the end it should be 2 instead of L right?