Is a Polynomial Vector in the Span of a Set? This lesson is a sample from The Ultimate Crash Course for PLEM Majors series. Get access to over 1,000 ad-free lessons covering linear algebra, calculus, engineering mathematics, scientific communication, WordPress development, LaTeX, and STEM career preparation. Fourthwall Store | Payhip […]
Daily Archives: May 27, 2026
7 posts
Understanding The STEM Major’s Guide to the University
In this lesson, Jonathan David explains how the
STEM Major’s Guide to the University is organized inside P.L.E.M. Academy and how the
research position, certificate system, textbook development, and lesson library all work together.
The lesson explains that active problems first appear inside the research position where students can participate by reviewing lessons and leaving comments for publication credit in future books.
After the lessons are edited and refined, they are categorized into the appropriate textbook sections throughout the website.
Students are shown how the accordion system works, how lesson previews appear for non members, and how membership restricted material becomes available after logging in.
Jonathan also explains that the project is being built gradually over time and that the long term goal is to create a massive organized library of advanced STEM examples, textbook walkthroughs, and professional academic demonstrations for college students.
The lesson emphasizes that the goal is not simply to solve homework problems, but rather to teach students how to think and work professionally using real textbook style examples from mathematics, physics, engineering, and related STEM subjects.
“I'm not here to do your homework for you. I'm trying to show you guys how to be professional and how to use your textbook correctly by doing real examples that you guys see in college.”
— Jonathan David
The Eye of the Integral This lesson is a sample from The Ultimate Crash Course for PLEM Majors series. Get access to over 1,000 ad-free lessons covering calculus, physics, engineering mathematics, scientific communication, LaTeX, WordPress development, and STEM career preparation. Fourthwall Store | Payhip Store Developing the “Eye of the […]
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Intro to Precalculus and Mathematical Notation This lesson is a sample from The Ultimate Crash Course for PLEM Majors series. Get access to over 1,000 ad-free lessons covering mathematics, physics, engineering, scientific communication, WordPress development, LaTeX, and STEM career preparation. Fourthwall Store | Payhip Store How to Start Learning Precalculus […]
PLEM Academy LIVE › PLEM Academy LIVE is designed for live mentor sessions, textbook learning meetings, research discussions, certificate guidance, and long term STEM development. This section can be used for upcoming streams, Zoom mentor meetings, recorded sessions, textbook writing workshops, research position discussions, and member announcements for Physics, Language, […]
Understanding The STEM Major’s Guide to the University
In this lesson, Jonathan David explains how the
STEM Major’s Guide to the University is organized inside P.L.E.M. Academy and how the
research position, certificate system, textbook development, and lesson library all work together.
The lesson explains that active problems first appear inside the research position where students can participate by reviewing lessons and leaving comments for publication credit in future books.
After the lessons are edited and refined, they are categorized into the appropriate textbook sections throughout the website.
Students are shown how the accordion system works, how lesson previews appear for non members, and how membership restricted material becomes available after logging in.
Jonathan also explains that the project is being built gradually over time and that the long term goal is to create a massive organized library of advanced STEM examples, textbook walkthroughs, and professional academic demonstrations for college students.
The lesson emphasizes that the goal is not simply to solve homework problems, but rather to teach students how to think and work professionally using real textbook style examples from mathematics, physics, engineering, and related STEM subjects.
“I'm not here to do your homework for you. I'm trying to show you guys how to be professional and how to use your textbook correctly by doing real examples that you guys see in college.”
— Jonathan David