ForgEd Math Series · Volume 4
ForgEd Math Series · Volume IV: Multivariable Calculus & Quantum Mechanics
From vectors to the Schrödinger equation
Official ForgEd Volume IV: multivariable calculus, the complex analysis and linear algebra quantum theory requires, and a first course in nonrelativistic quantum mechanics.
This volume is part of the ForgEd Math Series (Volumes I–IV). Work through the series in order unless your instructor places you elsewhere.
Read the authoritative PDF in the viewer below or download the full edition. Section-by-section web text, LaTeX problem sets, and auto-graded checks will roll out as ForgEd’s first fully interactive mathematics track.
ForgEd Math Series · first edition
Course videos
Watch the introduction (with learners studying from home), then study chapter by chapter. Midterm and final sessions teach the material with practice questions you must answer to continue — those checkpoints are not graded.
Narration · Professor Ryan · British English
ForgEd · Introduction
ForgEd Math · Volume IV: Multivariable & Quantum Mechanics · Course introduction
How this course is organized, how to study with the textbook and quizzes, and what you will be able to do when you finish.
Watch the intro or continue when you are ready. Chapter 1 stays locked until you continue.
Chapter teaching video · Professor Ryan · British English
Worked example: Vectors and the Geometry of Space
Professor Ryan walks through one problem on the board step by step — I-do modeling, not a graded check. Watch the math appear, then practice in the sections below.
ForgEd · Midterm teaching
ForgEd Math · Volume IV: Multivariable & Quantum Mechanics · Midterm teaching session
Teaches core ideas from the first 9 chapters with practice checkpoints (not graded) before you continue.
Interactive teaching · 1 of 5
0%Professor Ryan
I'm Professor Ryan, your ForgEd instructor for this volume.
In this session I'll teach through core ideas from the first half of the book — not just list chapter titles.
Answer each practice checkpoint to unlock the next section. These questions never count toward your grade.
Checkpoint to continue
Who is leading this teaching session?
Practice checkpoint — your answer here does not affect course grades, quizzes, or XP.
Jump uses your browser's PDF viewer. If the page is off by a few pages, scroll within the document — page numbers match the printed book.
ForgEd · Final teaching
ForgEd Math · Volume IV: Multivariable & Quantum Mechanics · Final teaching session
Teaches whole-course synthesis across 18 chapters with practice checkpoints (not graded) before graded quizzes.
Interactive teaching · 1 of 5
0%Professor Ryan
I'm Professor Ryan, your ForgEd instructor for this volume.
In this session I'll teach whole-course synthesis — connecting the hardest ideas before your graded assessments.
Answer each practice checkpoint to unlock the next section. These questions never count toward your grade.
Checkpoint to continue
Who is leading this teaching session?
Practice checkpoint — your answer here does not affect course grades, quizzes, or XP.