A complete guide on the famous Euler’s formula for complex numbers, along with its interpretations, examples, derivations and numerous applications.

A gentle, concise introduction to the concept of Laplace transform, along with 9 basic examples to illustrate its derivations and usage.

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

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

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

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