Unit 0: Introduction

Unit 1: Potentials and Superposition

• § 1. The Vector Differential, $d\rr$
• § 2. Expressing $d\rr$ in Other Coordinate Systems
• § 3. Activity: Determining $d\rr$ in Cylindrical and Spherical Coordinates
• § 4. Wrap-Up: Coordinate Expressions for $d\rr$
• § 5. The Multivariable Differential
• § 6. Gradient
• § 7. Properties of the Gradient
• § 8. Directional Derivatives (Optional)
• § 9. The Gradient in Curvilinear Coordinates
• § 10. Activity: The Hill
• § 11. Wrap-Up: The Hill
• § 12. Activity: Using Technology to Visualize the Gradient
• § 13. Wrap-Up: Using Technology to Visualize the Gradient
• § 14. Electric Field

Unit 3: Charge and Current

Unit 4: Gauss's Law (Integral Form)

Unit 5: Gauss's Law (Differential Form)

Unit 6: Conductors

Unit 7: Ampère's Law

Unit 8: Review