Math 344

//Math 344

Simulation of Convolution

By | 2018-05-21T13:31:36+00:00 May 21st, 2018|Categories: Courses, Math 344|

In today's class we played around with real-time convolutions using the website below: http://www.fit.vutbr.cz/study/courses/ISS/public/demos/conv/ I highly encourage you to take a look. Try spending at least five minutes messing around with your own examples. It might really help your intuition on how convolution works!

3Blue1Brown: But what is the Fourier transform? A visual introduction.

By | 2018-05-09T08:55:18+00:00 May 9th, 2018|Categories: Math 344|

3Blue1Brown is a YouTube channel that produces terrific computer-animated explanations of various mathematical concepts. If you have twenty minutes free some time, I highly encourage you to take a look at the video below, which gives a nice visual introduction to the Fourier transform. Enjoy!

Forms of Fourier Series

By | 2018-04-24T16:21:20+00:00 April 24th, 2018|Categories: Courses, Math 344|

The following is a summary of the relationships between the three equivalent forms of Fourier series. First Form: Sines Only The first type of form we began with could be described as a "sines only" form: \[ f(t)=\sum_{n=0}^{\infty} A_n\sin(2\pi nt+\phi_n). \] Here I'm including $n=0$, which gives a constant term $A_0\sin(\phi_0)$. Second [...]

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