• §1. Vectors
• §2. The Dot Product
• §3. The Law of Cosines
• §4. Curvilinear Coordinates
• §5. Activity: Curvilinear Basis Vectors
• §6. Wrap-Up: Curvilinear Basis Vectors
• §7. The Vector Differential
• §8. Other Coordinate Systems
• §9. Activity: Determining $d\rr$ in Cylindrical and Spherical Coordinates
• §10. Wrap-Up: Coordinate Expressions for $d\rr$

Chapter 2: Multiple Integrals

Chapter 3: Vector Integrals

Chapter 4: Partial Derivatives

Chapter 5: Gradient

Chapter 6: Other Vector Derivatives

Chapter 7: Power Series

Chapter 8: Delta Functions