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: \[ \sum_{n=0}^{\infty} A_n\sin(2\pi nt+\phi_n). \] Here I'm including $n=0$, which gives a constant term $A_0\sin(\phi_0)$. Second [...]
Above is a picture of Joseph Fourier, the French mathematician after whom the next phase of our course is named. Since our current textbook does not cover Fourier series and Fourier transforms, we will temporarily be switching references. Our new reference for the next three weeks will be a set of lecture notes by Brad [...]
For those who missed it in class (or just want a digital copy), here is the flowchart we saw in class on Monday. Enjoy! Download
