Euler's formula $e^{i\theta} = \cos\theta + i\sin\theta$ is one of the most important formulae in engineering and science. See, for example, a beautifully done video about Euler's formula with $\theta=\pi$: 1. Maclaurin Series This is the most common proof you see on
If you are in any of the STEM fields, you should be familiar with the formulae for the "volumes" and "surface areas" of "spheres" in 2D and 3D spaces. As you know, in 3D, \[\text{volume} = \frac{4\pi}{3} r^3 ~ \text{ and
My name is Takashi, and I am a mathematics instructor at a technical college in British Columbia, Canada. I have been teaching various mathematics and statistics courses, mostly for undergraduate engineering programs. This blog is a collection of notes on various topics in mathematics and statistics. It is intended for