Examples of Fourier Series

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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES...
Instructor: Gilbert Strang
Even functions use only cosines and odd functions use only sines. The coefficients in the Fourier series come from integrals.
License: Creative Commons BY-NC-SA
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3 окт 2024

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Комментарии : 40

@hypatiakovalevskayasklodow9195 5 лет назад

When he says "thank you" and you're all emotional like "No. Thank *YOU* !"

@子维-u1g 5 лет назад

The function Dr. Strang picking here is just brilliant, truly a master-level teacher & mathematician.

@nicoletaylor1497 6 лет назад

Fun fact: If you open up all of his videos at once he always says "Okay!". The funniest thing ever. I love this professor he is great.

@bennyjaime6232 4 года назад

Truly an amazing professor. I have watched my own professor's lectures, many youtube videos and sample solutions, but this professor is an actual master. Do not let the chalkboard intimidate you, he solved the few questions that I had after hours of cracking my head.

@abdshbli7827 5 лет назад

I love his way to teaching, because he didn't leave questions behaind him

@maggielin8664 7 лет назад

Thank you, Prof. Strang. I love you. I rely heavily on your MIT open course and the book "Linear Algebra and It's Applications".

@CHEESYhairyGASH 2 года назад

Love the geometric approach to integration with the square wave to the repeating ramp function and the computing of the average value.

@georgesadler7830 3 года назад

Another solid lecture on Fourier Series by the legendary professor Dr. Gilbert Strang.

@taher1973 3 года назад

I do not who can press dislike on Dr. Strang video. I wish I had him as my professor. My life would have changed a lot, Thank you!

@davidcurco2129 4 года назад

Old teacher, old style...superb result.

@emiliogomez9766 6 лет назад

Thank you. You made it easy to understand what a four series is.

@holysong2099 4 года назад

बहुत आभार sir!

@saurabhkulkarni6327 7 лет назад

Thank you sir! You've helped me shred my fear about fourier series and made it so simple to understand.

@MarciaYsabelBastardoHern-kn4ed Месяц назад

haces un repaso compactado,, de las series de fourier ya con el estudio de las funciones por su propia simetria bien enriquecido, muchas gracias.

@isayanmajhi 4 года назад

This man is a genius

@jananisubash6377 4 года назад

Okay! A long duster to match the size of the chalk piece !!!!

@yuehernkang 7 лет назад

thank you prof !

@geektoys370 Год назад

He’s so cute vid bless him

@sahilkaushal7199 7 лет назад

thanks a lot,Sir

@venkataramanas7042 4 года назад

Lovely class sir

@koltonjones866 6 лет назад

He is very articulate.

@PriyanshuKumar-ti9gv 3 года назад

What can be the reason for slower decay in functions with jump or spike in comparison to that in smoother function?

@donmoore7785 Месяц назад

Jump functions require stronger (greater amplitude) higher order frequency components in order to create and sustain the jumps.

@KnutKlonteig 8 лет назад

2:00 Correct me if I'm wrong, but I think there's a "1" missing in the integral of sin kx, so that int(sin kx) = 1-cos(kx)/k.

@stearin1978 7 лет назад

he left the limits, so all calculations after made in the heads:) and your "1" is one step early. sorry.

@ziadlucka8189 6 лет назад

No! It’s just -cos(kcal)/k.

@ralphwang1434 4 года назад

Ziad Lucka actually they’re the same, the difference is a constant addition which makes no difference

@ModernTolkien143 4 года назад

At 9:00, don't you need to ADD the constant term a0 = pi/2 (instead of multiplying it with the rest of the series)? In other words, has Gilbert forgotten to add the "plus sign" here?