ForgEd Math · Volume IV: Multivariable & Quantum Mechanics
Official ForgEd Math Series Volume IV — multivariable calculus through a first course in quantum mechanics.
ForgEd Math Series · first edition. Read in the PDF browser or save the full textbook for offline study. Interactive web sections for this volume are coming next.
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.
Focus on the PDF and chapter jumps for now. Chapter quizzes and completion tracking for this volume will activate when the interactive edition ships.
Skills you will gain
- Multivariable Calculus
- Complex Analysis & Linear Algebra
- Quantum Mechanics
- Mathematical Physics
Chapters
- 1
Chapter 1: Vectors and the Geometry of Space
Complete the course intro to unlock
- 2
Chapter 2: Vector Functions and Motion in Space
Complete the course intro to unlock
- 3
Chapter 3: Partial Derivatives and the Gradient
Complete the course intro to unlock
- 4
Chapter 4: Optimization in Several Variables
Complete the course intro to unlock
- 5
Chapter 5: Multiple Integrals
Complete the course intro to unlock
- 6
Chapter 6: Vector Fields and Line Integrals
Complete the course intro to unlock
- 7
Chapter 7: Surface Integrals and the Integral Theorems
Complete the course intro to unlock
- 8
Chapter 8: Complex Numbers and Complex Analysis
Complete the course intro to unlock
- 9
Chapter 9: Linear Algebra and Hilbert Space
Complete the course intro to unlock
- 10
Chapter 10: Ordinary and Partial Differential Equations
Complete the course intro to unlock
- 11
Chapter 11: Fourier Analysis
Complete the course intro to unlock
- 12
Chapter 12: The Breakdown of Classical Physics
Complete the course intro to unlock
- 13
Chapter 13: The Wavefunction and the Schrödinger Equation
Complete the course intro to unlock
- 14
Chapter 14: Stationary States in One Dimension
Complete the course intro to unlock
- 15
Chapter 15: The Formalism: Hilbert Space, Operators, and Uncertainty
Complete the course intro to unlock
- 16
Chapter 16: Quantum Mechanics in Three Dimensions: The Hydrogen Atom
Complete the course intro to unlock
- 17
Chapter 17: Angular Momentum and Spin
Complete the course intro to unlock
- 18
Chapter 18: Two-Level Systems, Identical Particles, and Entanglement
Complete the course intro to unlock