Calculus III Unit 4. Vector Fields & Derivatives (Marsden & Tromba)

Vector Fields & Flows

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Classwork/Homework 4.1. 13-17 (all)

Divergence & Curl of Vector Fields

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Vector Fields & Flows

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This example shows that curl v represents angular motion about a central axis at each point, so perhaps 'spin' is a better description.

|magnitude of vector omega

At each point we evaluate v curl v mimics an angular motion vector twice as long,

in spite of the fact that the length of v is increas- ing with the radius alpha.

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Classwork/Homework 4.2. 1-31(odd)

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Divergence & Curl

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Classwork/Homework 4.3. 1-31(odd)

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More Problems.

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Answers 4.1. Vector Fields & Flows

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Answers 4.2. Divergence & Curl

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Answers 4.3. More Problems

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