Introduction to Fourier Series - Adding Sine Waves to make Sawtooth, Square, and Triangle Waves
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- čas přidán 8. 09. 2024
- We look at special functions that can be created by adding sine waves together. Algebra 2 students who have learned about the amplitude and period of graphed sine waves can begin to understand a bit about wave superposition and Fourier series by playing around a bit with Desmos and copying some of the patterns shown in the video. 1:15 Sawtooth Wave 3:00 Square Wave 4:25 Triangle Wave.
THANK YOUUUUUUUUUUUUUUUUUUU THANK YOU SO MUCH YOU SAVED MY ORAL PHYSICS PRESENTATION !!!! it was about the physics behind synthetic soundwaves !
Terrific! You chose an interesting topic. I'll bet people learned some good stuff from your presentation.
They don't know what they are missing. I subscribed before i got to the end. You know after 10 long years! I will finish all of yours without a break. You are a techer par excellence. Could you please expand it to explain how this series takes the shape of some very complicated image?🙏🙏🙏
Thank you. That's a great idea. I'll try to find time to build up how to calculate them for some different shapes. In the meantime, the channel "Smarter Every Day" has a beautiful video on Fourier series.
is the last sound wave type and the last maths calculus equation to do with creating a triangle wave ?
Why use for example sin(πnx) instead of sin(nx), why is the π needed?
Just for style. I like it because a generic sine wave can be written as A sin ( [2pi/T ]x) or A sin( [2pi f] x) in which T is the period or f is the frequency (# of cycles per horizontal unit). Indeed,, you definitely don't have to do it the way I chose to.
Is the program in the video available ?
It's just the Desmos graphing calculator. A Google search will pull it up pretty quickly.
@@dr.piercesphysicsmath9071 brilliant thank you for getting back to me. Great video helped a lot.
Even & Odd = sawtooth
Odd = square
Even = ??