toc:fields:gaussdiff - The Geometry of Vector Calculus

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Static Vector Fields

Unit 1: Gauss's Law (Integral Form)

Unit 2: Gauss's Law (Differential Form)

§ 1. Divergence
§ 2. The Divergence in Curvilinear Coordinates
§ 3. Activity: Visualizing Divergence
§ 4. Wrap-Up: Visualizing Divergence
§ 5. The Divergence Theorem
§ 6. Differential Form of Gauss's Law
§ 7. The Divergence of the Coulomb Field

Unit 3: Current, Magnetic Potentials, and Magnetic Fields

Unit 4: Ampère's Law

Unit 5: Conductors and Boundary Conditions

Unit 6: Energy, Conservative Fields, and Divergenceless Fields

Unit 7: Review

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