## Euler’s Formula: A Complete Guide

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

## Laplace Transform: A First Introduction

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

## 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.