Unit 1: Basics: Coordinates and Vectors

Unit 2: Basics: The Gradient

• §1. Integration
• §2. Curves
• §3. Line Integrals
• §4. Scalar Line Integrals
• §5. Vector Line Integrals
• §6. Circulation
• §7. Use What You Know
• §8. Independence of Path
• §9. Conservative Vector Fields
• §10. Finding Potential Functions
• §11. Visualizing Conservative Vector Fields

Unit 4: Surface Integrals

Unit 5: Vector Derivatives