Introduction

• §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. Vector Fields
• §8. Orthogonality
• §9. Lines and Planes
• §10. The Vector Differential
• §11. Other Coordinate Systems
• §12. Activity: Determining $d\rr$ in Cylindrical and Spherical Coordinates
• §13. Wrap-Up: Coordinate Expressions for $d\rr$

Chapter 2: Multiple Integrals

Chapter 3: Line Integrals

Chapter 4: Surface Integrals

Chapter 5: Other Vector Integrals

Chapter 6: Partial Derivatives

Chapter 7: Gradient

Chapter 8: Applications

Chapter 9: Other Vector Derivatives

Chapter 10: Power Series

Chapter 11: Delta Functions