Chapter 1: Coordinates and Vectors

Chapter 2: Multiple Integrals

Chapter 3: Vector Integrals

• §1. The Multivariable Differential
• §2. Chain Rule
• §3. Chain Rule via Tree Diagrams
• §4. Optimization
• §5. Applications of Chain Rule
• §6. Rearranging Differentials
• §7. Change of Variables

Chapter 5: Gradient

Chapter 6: Other Vector Derivatives

Chapter 7: Power Series

Chapter 8: Delta Functions