Desmos Art: The Definitive Guide to Computational Sketching

A comprehensive guide into the creation of Desmos Art, from the choice of picture to the modeling of lines and curves with equations and inequalities.

Desmos: A Definitive Guide on Graphing and Computing

A comprehensive guide in using Desmos to graph equations/inequalities, perform computations and conduct basic statistical analysis.

The Algebra of Infinite Limits — and the Behaviors of Polynomials at the Infinities

An in-depth exploration of the various limit laws concerning infinities, and the end-behaviors of polynomials at the infinities.

Chain Rule for Derivative — The Theory

A brief look into why the “traditional proof” for Chain Rule is wrong — and how to rectify it to make it complete.

Exponent Rule for Derivative: Theory & Applications

A brief look into how the exponent rule for derivative is derived, and how to use it to make differentiation faster and easier.

Logarithm: The Complete Guide (Theory & Applications)

The definitive guide to logarithm: its concept, its applications, its algebraic rules and its expansion into complex numbers.