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/H4sIAAAAAAACA4WMQQ7CIBBFr9KwtmVAkJatCy%2BgG%2BMGKSZNSkkYJjEx3l0w7p3NTP5%2Fb15sczEwy04UsHQXDJntGLVl2XOJIbshIQ1hJt5S5IfReKWnuzDaCTECODc9lJBVm11pryRI3YPpJZxBWKmtMgMYda2ET5SxMTym5Gkl5N6t32Nf67KUtbXHX3bbun9TkWaiT7ma8P4A8ZLyO9EAAAA%3D/VhWP4%2BUUxA5LQI1iIMEaa2eegB0Z1v3Y3nL6UNNoqdblOXXIlgNPLjyVJ%2FvLu%2FKL15gETNGIZnhBL8EQyGxlO%2B2nZoz6Zcz7AIRN%2FKP1V2tlHcReo1jB67v097EGlOm3Pi3GSOD5h5JotMVaG29SAqFPtxmKS8EPbhVTH5Rnic24OhAuRriIDqvn%2BmqBxkg%2FPN49XEyALdqHJLjravTopMGgKj%2B7VkTaK6KYP0eTpVzkh7Z0oPMisBNUp2kqy89RQ%2BPAmyZ%2Bz%2FqcPMZqFTLvD2nybT0HvIdIvnqmrftLv%2BXc3BFAAiNZ0AUJqhxiPfKU9efLQh0egBDFmsdeSFhKZQ%3D%3D