DISCLAIMER

Before purchasing this digital edition, please note that this book is currently a work in progress.

Upon purchase, you will receive a downloadable .zip file containing individual PDF lessons organized by topic. Jonathan regularly creates, edits, and expands this volume, and as new lessons are completed, they are added to updated .zip files. Whenever new content is released, you will automatically receive an email with the latest download.

Once the volume is complete, you will also receive the finalized full PDF edition at no additional cost.

ABOUT VOLUME 2: PRECALCULUS

Volume 2: Precalculus is a comprehensive, step-by-step lesson library designed to accompany a standard college precalculus textbook. Rather than replacing your textbook, this volume serves as a companion reference that explains the concepts, notation, and problem-solving techniques students encounter throughout a typical precalculus course.

Topics include algebra review, functions, graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometry, analytic geometry, sequences and series, and other foundational concepts that prepare students for calculus, physics, engineering, and higher mathematics.

The goal of this volume is to help students build a solid mathematical foundation through clear explanations, worked examples, and organized reference material that can be revisited throughout their academic careers.

Each volume in The Ultimate Crash Course for PLEM Majors is designed to support a different stage of a student's educational journey.

Even-numbered volumes are dedicated to comprehensive, step-by-step lesson libraries centered on a single subject or textbook, making them ideal companion references for structured coursework.

Odd-numbered volumes contain a broader collection of educational material, including multi-subject reviews, notation guides, original research, unsolved problems, academic guidance, commentary, and other supplemental content spanning multiple PLEM disciplines.

You may purchase this volume individually and receive every lesson added to it until the book is complete. When the final edition is released, you will automatically receive the complete PDF at no additional cost.

If you would like access to the entire collection as new books are released, complete series access is also available through Jonathan's membership programs.

Handmade Signed Edition Available

A handmade signed paperback edition is also available. Each copy is individually printed, assembled, signed, and batch numbered by Jonathan. Every handmade edition includes a matching numbered bookmark and a private video showing the book being assembled and signed, providing a permanent record of authenticity.

Research Position Members: All current and future volumes, including every update released during your active membership, are included as part of the Research Position program.