Fourier Series: How To Determine Fourier Series | Example 1

Fourier series is a sum that represents a periodic function as a sum of sine and cosine waves.


1. Introduction To Fourier Series
2. Integration of Periodic Function
3. Integration of Functions over a single period
4. How to Solve For Fourier series
5. How To Determine Fourier series
6. How to Pass Engineering Mathematics
7. How To integrate Fourier Series
8. How To solve for Integrals of Periodic Functions
9. How to Solve for the Fourier Series Coefficients
10. Fourier series coefficient calculation

You can learn more by clicking Any of These Links;

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#avitechmaths
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#fourier
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#integrals
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[abubakarrkabia]

Abundant blessings to you and your family. Love from Sierra Leone

[hanessitumorang]

thank you sir, it's more helpful than my teacher

[obazeeosato]

God bless you finally a teacher who can teach so well

[JosephObehin]

Ur explaination is well understandable
Keep it up👏👏

[akku]

In one of the steps of in the integration on the board you're missing 1/n and a negative number multiplied by a negative number is positive number.

[abdirahimmohamed]

Thank you sir for your good explanation
From somalia i have an exam tomorrow.

[AdeolaDaniel-gc]

Bro if i may ask ... Is it that when ur asked to determine the fourier series of a function..., it's actual meaning is for you to find the value of the fourier coefficients which are a not, a subscript n and b subscript n

[dorcasadetoro]

Thank you sir the class. But why did you calculate cos2pi n as 1 instead of n at 22:51

[estheralagbu]

This is so helpful. Pls why are we not solving for odd and even functions of an and Bn ?

[agyapongfrancis]

How did you deal away with the -1/n (for bn part) that comes after the intergral sign? There is -1/n infront of Cosnxdx too

[omozuwaprosper]

Umm what a simplified version
I have a question sir, please given a question that wasn't stated whether even or odd but after plotting the graph I discovered the function. Would it be right for me to solve with the given function of the graph I drew or solve for but, since it wasn't stated in the question?
Thank you

[ayodelekenneth]

Good evening sir. The video is very helpful. But I have an observation when solving for bn.
When we solved for An, the nth term in the answer before multiplying by O was square of n.
But for the bn, we only obtained a single n.

I was able to observe this after the integration by part.

I hope you'll be able to get my point with how I explained.

[AdeolaDaniel-gc]

Secondly bro, when u were solving for a subscript n in the question, u got to a certain point in which u said sin 2π =0.., no disputes so meaning after substituting both the upper boundary limit and lower boundary limit the whole of that side is meant to be 0. So isn't the 0 meant to multiply the 1/2π outside to also make it 0 cos u didn't multiply u kept it and continued ur solution

[asandamvusongobese]

Is it 1/pi because my period is 2pi right?
like twos divide to make one over

[Luna.]

Sir, why we didn't use w in this question isn't the formula sin(nwt)dt .if T=2π w=2π/T am i wrong

[benjaminkwame]

Sir please like integration of sinnx=0 why didn't you use that when integrating but rather normal integration

[ylamaeacejo]

why a0 is 1/pi? in formula.
is it 1/ 2pi, since the period is 2pi?

[DavidOsikilo]

In one of your videos on Fourier series you changed on of your values of an to (-1)^n instead of n ….but here you didn’t change it …why is that please ?