# Monthly Archives: January 2020

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## Maximizing a Function of Three Variables with One Constraint

By |2020-01-28T20:45:49-08:00January 28th, 2020|Categories: Math 241|

In Tuesday's class we started but didn't finish an example of maximizing a three-variable function subject to one constraint.  For reference, here is the full solution to that example. The problem was the following: Suppose we are trying to maximize the volume of an open rectangular box using a fixed amount of material. In [...]

## 3Blue1Brown: Visual Explanations of Mathematical Concepts

By |2020-01-28T20:07:49-08:00January 28th, 2020|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 some of the videos, especially those on Fourier series and the Fourier transform. Below is a link to the the video on Fourier series [...]

## Forms of Fourier Series

By |2020-01-28T12:59:52-08:00January 28th, 2020|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: $\sum_{n=0}^{\infty} A_n\sin(2\pi nt+\phi_n).$ Here I'm including $n=0$, which gives a constant term $A_0\sin(\phi_0)$. Second [...]

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#### This Is A Custom Widget

This Sliding Bar can be switched on or off in theme options, and can take any widget you throw at it or even fill it with your custom HTML Code. Its perfect for grabbing the attention of your viewers. Choose between 1, 2, 3 or 4 columns, set the background color, widget divider color, activate transparency, a top border or fully disable it on desktop and mobile.