Calculus A2

Ximera tutorial
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How to use Ximera
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How is my work scored?
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Sequences
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Sequences
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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 Integral test
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The integral test
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The divergence test
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Dig-In: Estimating Series
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Dig-In: Remainders and the Integral Test
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Ratio and root tests
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The ratio test
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The root test
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Comparison tests
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The comparison test
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The limit comparison test
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Alternating series
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The alternating series test
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Remainders for alternating series
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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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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 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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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACAy2MvQ7CIBSFX6VhtgUu0B824%2BAL6OKGwNCklYTLTUyM7y40TufkOz8f9nJ7ZJZdKWLp7hgzOzFqYtl73WN2Q0IaYiDeKPJxec4A0iiQSmszQQjzbKapzoIr7QoEjL1QvRxv0lglrNGDWMSjNnyijK3D95Q8bYTcu%2B0wZ6h5WcvW4ssfdgdFn3Kl4vsDUeRI4a4AAAA%3D/tE5yPcguWuVrJU2k02jUH4m5Flwu%2FZ%2FGQd2H%2Fj03xQfxxsvNenofT4qEOQXi6yK%2B5oK7XR%2BXSOps4U5v9FzLBizQ8e6zVo3VOFVLxqwHhjcqJdBSJG4vY5n%2BNOBbADcH8LPna991E6l73vU1dNhehS8t%2Br%2FuRRLxcYc0N7mU0LQ7b9Yaf%2F6t6BNWAiXha43sGfhTQknB%2FaXtqfuzvmQ6AFO5dqqcPa1q2N0tU8cqHfgGoxOPRqvg7SJURJavzTRhHqZt9Q%2BaQ2RrYcRBSHjeoOI9glVyxUtv5pEJ%2F1IrE9WNuKNfdJGO3I6l9lk67u5YZWnW4hU3Lyh%2BVYhYZnN%2F9Q%3D%3D