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 and the gradient vector
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Partial derivatives
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Approximating with the gradient
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Tangent planes and differentiability
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Tangent planes
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Differentiability
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The directional derivative and the chain rule
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The directional derivative
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The chain rule
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Interpreting the gradient
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Interpreting the gradient
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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 Green’s Theorem
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Green’s Theorem as a planimeter
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Divergence and Green’s Theorem
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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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Grad, Curl, Div
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMwQrCMAyGX2X07Npka6H26sEX0It46bIKg22FpgVBfHdb8W4uCf%2F%2FfXmJ3W9BOHEugXN35ZDEQZS2nHguW0heRi4yzEW1lJWZApFBjeaowQ6jNg%2B0E2HVZp%2FbqwHQ9og9mgugA3CgpbZwqwTFkrgxaouRylpYkV%2B%2Fx1jrvOS1tadfdt%2B7f1ORZjLFVE14fwDNueiZ0QAAAA%3D%3D/bgpNqJMVKTeuK9IhRi4siCRWQ0XsUyDPG5umon6KgNWXEL0aAbC2iti0YicddT10azT2oWFnL7jCMWxLpGE9fBKRbt5GvjwMD4IaKs%2FZ6XqoUmYjI3gi9%2F4J2Y3XMXXjlmCy6crDTewATxWd1Hb1qjV6EFDpJoQeWSl%2BGpcpO6m0DXQNsjIU7n8bGwO6zkkpSW1I94VQLrmvagaOqE7DbfNV0S5HLyCTo7SVl8iTWCYLUXOhhNl5RyR%2F6XBY95KHQL8yEXKTJ6EbbpYBs3bESfhfAwRbKowMdTJr1nk2t%2BA%2Bhz8FAPxiKNf0Eymw5v4K0hrrdBgt5CJkUp2hm8Kuzg%3D%3D