The Ultimate Crash Course for STEM Majors

Complete Guide for College Success

What This Course Covers ›

The Ultimate Crash Course for STEM Majors is a complete system designed to teach everything a student needs to succeed in mathematics, physics, engineering, and computer science.

This course focuses on textbook mastery, problem solving strategies, conceptual understanding, and long term retention across all major STEM subjects.

Author: Jonathan David
Focus: full STEM curriculum, problem solving, textbook learning, and academic success

Preface Content ›

1 – Textbook Reading & Study Approach ›

Access 1,000+ lessons and podcasts at theSTEMmajor.com when you grab a bundle at Payhip or join PLEM Academy.

1 – Textbook Reading & Study Approach

This is the original image of the book.

Textbook Reading and Study Approach original book image

Textbook Reading & Study Approach

Isolate all bold words with a definition in your own words so that you may actually explain what you are talking about.
Rewrite all theorems and definitions the same way as you go through the chapter or section.
Repeat the same for anything in the side bars of the book’s chapters/sections.
After documenting all of the above, then go back to the start of the chapter or section, and begin to work all the practice problems
Cover up part of it until you can solve it completely. Repeat this until you can solve without referencing the book—that is, as if it were an exam.
Take note of any formulae hidden in the question bank.
DO NOT move on to the next question until you fully understand the first question.
To recap- Remember, a STEM degree is a degree training you to do research! So, do research to solve problems. A scientist comes up with solutions, not excuses!

Join PLEM Academy and build your skills through structured lessons, guided study, and long term academic development. You can also unlock access to over 1,000 lessons and podcasts through theSTEMmajor.com with a qualifying bundle from Payhip.

2 – Number Set Notations and Universal Quantifiers›

Access 1,000+ lessons and podcasts at theSTEMmajor.com when you grab a bundle at Payhip or join PLEM Academy.

Number Set Notations & Universal Quantifiers

This is the original image of the book.

Author Jonathan David | AuthorJonathanDavid.com

Number Set Notations

Real Number Set, $\mathbb{R}$
$\mathbb{R}=(-\infty,\infty)$ all real numbers
Complex Number Set, $\mathbb{C}$
$\mathbb{C}=\{a+ib|a,b\in\mathbb{R}, i=\sqrt{-1}\}$
All Integers, $\mathbb{Z}$
$\mathbb{Z}=\{\dots -3,-2,-1,0,1,2,3,\dots\}$
Positive Integers (natural numbers), $\mathbb{N}\equiv \mathbb{Z}^{+}$
$\mathbb{Z}^{+}=\mathbb{N}=\{1,2,3,\dots\}$
Rational Numbers, $\mathbb{Q}$
$\mathbb{Q}=\left\{\frac{a}{b}\middle|a,b\in\mathbb{Z}, b\neq 0\right\}$
Irrational Set, $\mathbb{R}\setminus\mathbb{Q}$
$\mathbb{R}\setminus\mathbb{Q}=\{e,\pi,\sqrt{2},\dots\}$

Universal Quantifiers

in, $\in$
not in, $\notin$
such that, $\ni$
therefore, $\therefore$
because, $\because$
exist, $\exists$
for all, $\forall$
divides, $|$
does not divide, $\nmid$
implies, $\Rightarrow$
If and only if (iff), $\Leftrightarrow$
Modulo or Equivalent, $\equiv$
Goes to, $\to$
Subset, $\subset$
Tilda, $\sim$

Join PLEM Academy and build your skills through structured lessons and long term development. Unlock access to over 1,000 lessons at theSTEMmajor.com.

Linear Algebra ›

Add lesson content here

Physics ›

Mechanics ›

Add lesson content here

Electromagnetism ›

Add lesson content here

Thermodynamics ›

Add lesson content here

Engineering & Advanced Topics ›

Differential Equations ›

Add lesson content here

Tensor Notation ›

Add lesson content here

Mathematical Methods ›

Add lesson content here

1 – Textbook Reading & Study Approach

Textbook Reading & Study Approach

Number Set Notations & Universal Quantifiers

Number Set Notations

Universal Quantifiers

Share this: