Calculus 3

Ximera tutorial
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How to use Ximera
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How is my work scored?
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Working in two and three dimensions
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Working in two and three dimensions
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Drawing a sphere
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Vector-valued functions
 
Vectors
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Vectors
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Dot products
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The dot product
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Cross products
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The cross product
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Lines and curves in space
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Lines and curves in space
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Calculus and vector-valued functions
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Calculus and vector-valued functions
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Motion and paths in space
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Motion and paths in space
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Parameterizing by arc length
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Normal vectors
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Unit tangent and unit normal vectors
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Planes in space
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Parametric plots
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Drawing a torus
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Functions of several variables
 
Functions of several variables
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Functions of several variables
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Continuity of functions of several variables
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Continuity
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Partial derivatives
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Partial derivatives
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The gradient
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The gradient
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Linear approximation
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Linear approximation
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Chain rule for functions of several variables
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The chain rule
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Taylor polynomials
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Taylor polynomials
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Quadric surfaces
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Quadric surfaces
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Drawing paraboloids
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Maximums and minimums
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Maxima and minima
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Constrained optimization
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Constrained optimization
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Lagrange multipliers
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Lagrange multipliers
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Multiple integrals
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Integrals over trivial regions
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Integrals with trivial integrands
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Common coordinates
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Polar coordinates
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Cylindrical coordinates
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Spherical coordinates
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Computations and interpertations
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Surface area
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Mass, moments, and center of mass
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Computations and interpretations
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Vector-valued functions of several variables
 
Vector fields
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Vector fields
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Line integrals
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Line integrals
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Green’s Theorem
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Curl and line integrals
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Green’s theorem as a planimeter
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Divergence and line integrals
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The shape of things to come
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Surface integrals
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Drawing a Mobius strip
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Divergence theorem
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Stokes’ theorem
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMywrCMBBFf6VkbfNqWk22LvwB3YibkEyh0DaQyYAg%2FruJuHc2M9x7zrzY7jdgjl0IsHQ3hMwOjNpy7LlskD1PSBwiiZaimCY9ByUDeGWtmiEOZpQzQNWiL%2B2Vltr00vTaXtXozNFpw6U53SsREmVsjNhSCrQSiuDX7zHUuixlbe35lz327t9UpJkYUq6mfH8A53Z7EtEAAAA%3D/uVxcm0mb1AyU8JCv7hxo41%2FCvIbK4vEJGGlnpJ45j2%2BfFCgcLY%2B5FHip%2BJLjPXKWjDOZxSWICXs2AUOoC8Cs4XkTj9VwpCkfvq5ruToWBMGFmP2IqVP3Ulk75MI4KkKe6oemtDbyT%2Fj0TFNPt5Vyg%2BId3isqzAcB3waw%2BEcMCZoNllhYUqcC2VExsiEK3tAa%2Brl%2FJYcsWDTgjsAil4MuFcjHzKUs7ktlAQOKitKeUe26Ts54txpjRp1asyLd%2F%2F8O%2FxSkl%2BmwMaKmlv%2F4OrybMTDxffzqcGw4uJzOLxoYSZkxC9s0tHhzrd8mXzzCXcm%2Fk9Fmxr9r90VN942nGokmJg%3D%3D