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/H4sIAAAAAAACA4WMwQrCMAyGX2X07Nomk7r1uoMvoBfxUrsOBtsKTQOC%2BO624t1cEv7%2F%2B%2FISu9uCsOLMgXJzpZDEQXBdVjyXLSQnI7EME6uakjKnbtbOI%2FYGdP%2BYEYfZgPNFm1yur1DjsQVoES6gLRoLWpoBboXwkRNVRm0xel6ZlHfr9%2BhKnZe81nb8Zfe9%2BTcFqSb5mIqp3x%2FYuVTV0QAAAA%3D%3D/B4%2Fw7bAhJgwFgYnXV3DmzBCbKeVH6TQIw5zg4UzxSb9p3HtmkpioTpBB%2FXNlLC0hPeaqPKakkoiJgp5qRGNpXa3OrW6Wthkj204zeBGIxsZUgzCRo0LMxGmXR6Xw739wATGeXZrU5P4cjBhWieKjanR9iwHhkka4pD77PcS8ReEwKt8Kearz%2FymgIA6il9SK6Heglg7MCHj2XYgAcS5aKsA5LaB2k5szYaLixBArVPFaO%2BEj3ITMed%2BDBw9dAYOfSKhBRxmRyGgwjwpdOvAgrH9Mcub7k7rAnPiBGqG7NAtZPZosw5SIn%2BOCHhQXAMN5tlNoGvRxvuHE8f5Imx0yhQ%3D%3D