# Building a 3D Boat in Desmos

The graphing calculator Desmos recently held a competition called the Global Math Art Contest. People aged 13-18 submitted artwork they created with the graphing calculator using combinations of math curves. The judging is based on creativity, originality, visual appeal, and the math used to create the art. As a person with little artistic talent, I had to rely on the use of math category to get my edge. So I decided to create a rotatable 3D boat that moves and tilts according to the waves in t...

# Common misconceptions about the differentiation operator

(Note: math may not render properly in Microsoft Edge. Any other browser should work, though. I'm trying to figure out the source of this issue.) This is the differentiation operator in single variable calculus: $$\frac{d}{dx}$$ Since several procedures in calculus happen to involve manipulating the "numerator" and "denominator" of the differentiation operator, people have gained the incorrect idea that it IS in fact a ratio of two "infinitely small" quantities. This is absolutely not tru...

# Fundamental Theorem of Calculus Explained

Relation between derivatives and integrals /*! * * Twitter Bootstrap * */ /*! * Bootstrap v3.3.7 (http://getbootstrap.com) * Copyright 2011-2016 Twitter, Inc. * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE) */ /*! normalize.css v3.0.3 | MIT License | github.com/necolas/normalize.css */ html { font-family: sans-serif; -ms-text-size-adjust: 100%; -webkit-text-size-adjust: 100%; } body { margin: 0; } article, aside, details, figcaption, figur...
Recently I went through my old Desmos (https://www.desmos.com/) graphs and I'd like to share 5 of my favorites here. There are some additional interesting graphs at the bottom that are cool as well. You can click on the links after each header to edit and interact with the graphs in the browser. Complex Plane Rotation Try it yourself: https://www.desmos.com/calculator/sprwnkggss The goal of this graph is to take a function $f(x)$ and rotate it around the origin by an arbitrary radian a...