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▾
Calculus 3
▸
3-dimensional space
•
Vector functions
•
Cylindrical coordinates
•
Intro to calc 3
•
Proving a property of the cross product
•
Proving equivalence of the dot product definitions
•
Relating the cross product to the area of a parallelogram
▸
Partial derivatives
•
General chain rule
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Maximizing the product of three real numbers, given their real number sum
•
Intro to partial derivatives
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First order partial derivatives
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Directional derivatives
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Higher order partial derivatives
▸
Applications of partial derivatives
•
Tangent planes and linear approximations
•
Special points of multivariable functions
▸
Lagrange multipliers
•
Lesson
▸
Multiple integrals
•
Midpoint rule for double integrals
•
Riemann sums for double integrals
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Average value of a double integral
•
Intro to double integrals
•
Double integrals over rectangular regions
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Double integrals over general regions
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Iterated integrals
•
Changing the order of integration
•
Triple integrals
▸
Line integrals
•
Conservative vector fields
•
Green's theorem
▾
Surface integrals
•
Curl and divergence
›
Calculus 3
›
Surface integrals
Curl and divergence
To help you index:
Curl and divergence playlist by Michel van Biezen
Conclude by giving your students this challenge:
YouTube videos
80765
curl and divergence (KristaKingMath)
Krista King
80766
Vector Fields, Divergence, and Curl
Professor Dave Explains