Folks, here are some recorded lectures from Fall 2020.

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Due to the nature of lecturing online, I did not edit these videos, nor are they always complete.  Feel free to let me know if you have questions.

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• Sec. 13.3 Dot Product, 13.4 Cross Product.

  • Here is 13.3, 13.4 pt. 1.​

  • Here is 13.3, 13.4 pt. 2

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• Sec. 13.5 Lines and Planes.

  • Here is the 13.5 class recording.​

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• Sec. 13.6 Cylinders and Quadric Surfaces

  • Here is the 13.6 class recording.​

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• Sec. 14.1  Vector-valued Functions.

  • Here is the 14.1 class recording.​

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• Sec. 14.2

  • Here is the 14.2 class recording.​

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• Sec. 14.3

  • Here is Sec. 14.3 pt.1​

  • Here is Sec. 14.3 pt.2

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• Sec. 14.4 Arc-Length

  • Here is the Sec. 14.4 class recording.

  • Here is a summary of the Arc Length formulas.​

  • Here is a video about the Arc Length Parameterization through the view point of the text's question 14.4.40 which corresponds to #6 on our MML HW.

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• Sec. 14.5 Curvature, Torsion and the TNB frame.

  • Here is the Sec. 14.5 class recording.​

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• Sec. 15. 3 Partial Derivatives.

  • Here is the Sec. 15.3 class recording. (This also has part 1 of Sec. 15.4)​

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• Sec. 15.5 The Gradient and Directional Derivative.

  • Here is the Sec. 15.5 pt. 1 class recording.​

  • Here is the Sec. 15.5 pt. 2 class recording.

  • Here is an optional video that shows how to find parameterizations of level curves and curves of steepest ascent/descent.

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• Sec. 15.6 Tangent Planes and Approximations.

  • Here is the Sec. 15.6 class recording.​

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• Sec. 16.3, 16.4 Double Integrals of Polar Regions and Triple Integrals.

  • Here is the Sec. 16.3, 16.4 class recording.​

  • Here is an example of finding Volume with an iterated triple integral.

  • Here is an example of finding each of the six iterated integrals for a triple integral.  

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• Sec. 17.4

  • Here is an overview of Green's Theorem for circulation (and curl).​

  • Here is an overview of Green's Theorem for flux (and divergence).

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