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/H4sIAAAAAAACA4WMuwrDMAxFfyV4bvyMQ%2By1Q3%2BgXUoX4ygQSGKwLCiU%2Fnvt0r1aJO49Ry92hB2YZxcCLN0NIbMTo7Y8e6475MATEoeZREtRjNMyjAomrZyV2mq1RGciqKrNobRXusa9kr1yV2m8nbzR3JnhXomYKGNjxJ5SpI1QxLB9D1Prspattedf9ji6f1ORZmJMuZry%2FQGNdHCv0QAAAA%3D%3D/MwajZwoszxYcN76BiJ3XipzSj8gkmIALgtxqmEK%2BzS5D%2FIcXY1Ok%2F1zMEXykOi3RoYQs3dtlL1OA8RFWP5UnYj8MQdEJJwAr0ZJ6dl8tlCe5Q1lpvQwvwfZ8aouDoe2e1CwJL8bdCYpWRfSN%2BK80CRHU05%2FOT%2FLEGj5SMZRH%2BWsghRfbEHTv46tsfsQDMk9%2BZtEEFmFCurdLIpeECD3BaDpbgRIoamHFD8TfWr3nqhNGOVKxgBTJYJvE0eAjL3gyAR7naLc4Huzovxq9ssWW9hTix4OmLUuj2fltnpPocHND8OrdvFcnIX4pmZZ%2B3fmtGeWcfNVPeaDN9rjoD6SttA%3D%3D