The Ultimate Cheat Sheet for STEM Majors

Formulas • Definitions • Theorems

What This Guide Covers ›

The Ultimate Cheat Sheet for STEM Majors is a comprehensive collection of formulas, definitions, theorems, and problem solving tools used across mathematics, physics, and engineering.

This guide spans topics from algebra through calculus, linear algebra, differential equations, and advanced physics, giving students a single reference source for fast review and long term mastery.

Author: Jonathan David
Focus: formulas, definitions, theorems, and cross subject STEM reference material

Algebra ›

The Unit Circle and Book Notation Key›

The Author Jonathan David

Get access to STEM crash courses, books, podcasts, and over 1,000 lessons.

thestemmajor.com

Book notations

Note: Some symbols may have different meanings in different courses i.e., never assume.

And	$\land$
Or	$\lor$
In	$\in$
Manipulation or row reduction occurred	$\sim$
Implies	$\Rightarrow$
Becomes	$\Leftarrow$
If and only if	$\Leftrightarrow$
Therefore	$\therefore$
Because	$\because$
Equivalent/defined as	$\equiv$
Euler’s number e	$e=\sum_{n=0}^{\infty}\frac{1}{n!}=\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^n$
Any other vector (scalar not bold/hat/vec)	$\vec{v}\equiv v$