Lecture 1: Dot Product

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Lecture 2: Determinants

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Lecture 3: Matrices

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Lecture 4: Square Systems

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Lecture 5: Parametric Equations

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Lecture 6: Kepler's Second Law

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Lecture 7: Exam Review

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Lecture 8: Partial Derivatives

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Lecture 9: Max-Min and Least Squares

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Lecture 10: Second Derivative Test

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Lecture 11: Chain Rule

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Lecture 12: Gradient

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Lecture 13: Lagrange Multipliers

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Lecture 14: Non-Independent Variables

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Lecture 15: Partial Differential Equations

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Lecture 16: Double Integrals

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Lecture 17: Polar Coordinates

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Lecture 18: Change of Variables

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Lecture 19: Vector Fields

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Lecture 20: Path Independence

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Lecture 21: Gradient Fields

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Lecture 22: Green's Theorem

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Lecture 23: Flux

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Lecture 24: Simply Connected Regions

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Lecture 25: Triple Integrals

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Lecture 26: Spherical Coordinates

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Lecture 27: Vector Fields in 3D

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Lecture 28: Divergence Theorem

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Lecture 29: Divergence Theorem (cont.)

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Lecture 30: Line Integrals

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Lecture 31: Stokes' Theorem

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Lecture 32: Stokes' Theorem (cont.)

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Lecture 33: Maxwell's Equations

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Lecture 34: Final Review

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Lecture 35: Final Review (cont.)

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