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Class Notes

Part 1: Multivariable Integrals

Section 5.1: Double Integrals Over Rectangular Regions

Section 5.2: Double Integrals Over General Regions

Section 5.3: Double Integrals in Polar Coordinates

Section 5.4: Triple Integrals

Section 5.5: Triple Integrals in Cylindrical and Spherical Coordinates

Part 2: Vector Fields and Line Integrals

Section 6.1 Vector Fields

Section 6.2 Line & Flux Integrals

Section 6.3 Conservative Vector Fields

Section 6.4 Green’s Theorem

Part 3: Surface Integrals, Surface Flux, and 3D Line Integrals

Section 6.5 Divergence and Curl

Section 6.6 Surface Integrals

Section 6.7 Stokes’ Theorem

Section 6.8 The Divergence Theorem