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

That was great! You’re an awesome teacher.

Literally brilliant! Quick question! How do you know to write n=1 in the initial formula but to change it to n=0 in the final formula? Sorry if it’s obvious I’m just unsure!

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

why isnt L = 4? he's intergrating from -2 to 2. why would L be 2?

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

I think a 0 coefficient should be 1/4 instead of 1/2 since L = 2 correct me if am wrong

Hi Dr Bazzet , just wondering how did (n*pi*t)/L came about

I have 15 years temperature data. I want to remove seasonality variation from the time series data, so how can I get the constan term ao, the amplitude and the phase change by using these given temperature data? thank you

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

"In this video-you" every time lol

Hello Professor. I am stuck. You introduced 3 formulas in the video.
I tried to solve { (integral 0 to 2pi) cosnt * cosmt dt }
I ended up with...

1/2 * [(sin 2pi(m+n))/(m+n)+(sin2pi(m-n))/(m-n)]

You see there are 2 terms.
The term on the right contain m-n in the denominator. If i put m=n it will be undefined. Where did i go wrong?

🔥🔥🔥

Really helpful ! thanks alot

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.

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

thank you for the lesson and smile!

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.

Many thanks sir.

maybe a more beginner to math here, but I didn't quite catch how the substitusions you did at the end worked, if anyone could help me that would be great.

Question. If i have a graph made of plot points recorded during an experaments but i do not have the formula to describe that curve- can I use the Fourier series to sort of make a usable formula to then find the dirivitive or integral?

From where u got the basic ideas like we r approximating periodic function by sine and cosine in Fourier tra.

Consider the function f(t)=t. if we set t=1, L=1, then left hand side = f(1)=1, but right hand side = sum 0 = 0. What is wrong with it?

Beautiful lectures ❤

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

Hello sir I found that some books uses a sub /2 and others use a sub 0 only kindly clarify for me

I would like to know the Z-Transform things.

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

Zero people disliked this because it's odd

Professor, you are a godsend! Thank you so much, your videos are amazing!!! SO glad to have found your channel :"")  
Looking forward to future videos!!!

Please tell background of topic also .and speak slow english

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.

How to teaching
What is the tablet or type to teaching online?

Beautiful

Thanks professor

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.

Thank you sir...
Love from India 🇮🇳

Great effort. My appreciation thanks

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

Thank you.

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.

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

Sir can you do special functions and tensors?