Ximera tutorial
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How to use Ximera
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How is my work scored?
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A review of integration
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A review of differentiation
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A review of integration
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A review of integration techniques
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Areas between curves
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Area between curves
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Accumulated cross-sections
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Accumulated cross-sections
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Solids of revolution
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What is a solid of revolution?
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The washer method
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The shell method
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Comparing washer and shell method
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Length of curves
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Length of curves
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Applications of integration
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Physical applications
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Integration by parts
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Integration by parts
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Trigonometric integrals
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Trigonometric integrals
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Trigonometric substitution
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Trigonometric substitution
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Partial fractions
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Rational functions
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Improper integrals
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Improper Integrals
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Sequences
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Sequences
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Representing sequences visually
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Sequences as functions
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Limits of sequences
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Sums of sequences
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What is a series
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Special Series
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The divergence test
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The divergence test
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Ratio test
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The ratio test
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Approximating functions with polynomials
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Higher Order Polynomial Approximations
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Power series
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Power series
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Introduction to Taylor series
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Introduction to Taylor series
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Numbers and Taylor series
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Numbers and Taylor series
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Calculus and Taylor series
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Calculus and Taylor series
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Parametric equations
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Parametric equations
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Calculus and parametric curves
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Introduction to polar coordinates
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Introduction to polar coordinates
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Gallery of polar curves
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Derivatives of polar functions
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Derivatives of polar functions
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Integrals of polar functions
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Integrals of polar functions
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Working in two and three dimensions
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Working in two and three dimensions
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Vectors
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Vectors
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Dot products
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The Dot Product
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Projections and orthogonal decomposition
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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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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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Open and Closed Sets
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Limits
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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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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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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMQQ7CIBBFr9KwtoVpaRG2xngB3Rg3dMqiSSkJA4mJ8e6Cce9sZvL%2Fe%2FNiu%2FWOGXbJjlJzIxfZgeW6DHuu3kXbBcqdWzKvKfFJCT1J1IPE%2FjgrDbAgzDgWbbGpvupFL1sQLcAVlJHKjEM3aHkvBIYcqTLch4B5y8TRbt%2FjXOq0pq22p1%2F22Jt%2FUxBXTMIQiyneHwDiAFTRAAAA/ZtDlKrYpBmbD5HNjZq5eUywsi83qVDlJNXiPOgppRK4R8rBVrJ84McazTj%2BeIAD%2F%2BZn7gw9BTfy4oYuqRkR6Jd1KvMGlRDk87mwYqkEYbGai0tnPII7o%2FSM4opKZ9B9dPlYFmSgoXVlAay90DafR1pLij0eSjjvdQSf4vhuvsSxhTFzCOlW9QKhwJkcvKxl8LTUcQnwcFZW1uzPwYzGf2C0rtgbYVI5gEKAV6UGtL%2BaaHBQ25JUVQkffu%2F4MLnXeGciLwk2XzbPVLrLfYKTcwsIPaDunoDq%2F%2BOMfz%2B2MaPERiDJf4ZdL%2FnnrWo%2BuokVx8wWo4gusLV8gz5yJPuFjvA%3D%3D