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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Level Sets
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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 vector
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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/H4sIAAAAAAACA4WMyw7CIBBFf6VhbcsU%2BqBsXfgDujFuEDBpQkvCMImJ8d8F497ZzOTec%2BbFdrN5ptmJPObmgj6xA6O6NHuum0%2Bmi0idd8Rriny0ixicW9Qk1P0BBuzUj16aojmT6ysB%2FdKCbAWc%2B0GLWcu5UyCvhbCRElaGbzFaCoTcmvA9ZKnzmkNtj7%2Fstjf%2FpiDVRBtTMeH9AWyj7bHRAAAA/m4G0ATLJ47p1D%2F3Oj86IEanwRBb5tMLIhyLVN04GcAkhSwI5pIJzBvEVZjcpSqJAqlmodvIDEIxvIUz7q89fJ34VaZTHsylOFRcmWsBHIPcbyvzlySei%2FxB7brh125%2FPOwQdgy1U7fczxYPX8oGpXvDn9IL3KZJr6YoZdXlm9nCdbxlW6%2BB%2BPQ%2FecCogth7KsNDJg4JP%2BQXHisMp%2BxhfxrU0l2XnNF5%2BkAw4ZXuGR0T2RDbFts7so1i5MVsEu8T2azICzRIpL1or4MdnJoa0v9GOSh%2F6PjRJgjoLPD8%2FhtHDX%2Fa9j8KlkO%2BU%2FmomStwaQIsSckcoPaUvIhdCu3IEwQ%3D%3D