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/H4sIAAAAAAACAy2MTQrCMBCFr1Kytk1noEmbnbjwArpxl04jFFoDmQwI4t1Niqv3%2BN7PR738HpRTVwmcmzuHpE5Kqjj1XveQfBdZurCIrpS18bMNQGaGJ4VxmNAC2IGgzBaf6xX2aNp%2BatHcYHBgHGJncXyUBkVJXDt6j5FkE9bkt8OcseR5zVuNL3%2FYHJQppkL77w%2FBZOPtrgAAAA%3D%3D/EwFAQrmd3zyRS1oys7sh5Ab63DIMXEtB%2FgeEgaWdTmAUxHZZ7ApDD73d4%2FiptTRgAE0FWOtBnPrbzFipSdfg%2BlmCN16QXIIQpWbgHexqsvilOZWG2uEH%2F3vbILDTuK9rot5LoUNYSn%2BGfiq4Pj0Tei9VhRIp5i3vdP6v%2Bu4w29jc5Z0mNx7fa4A3Pl3LYUH1mRusi1R%2FwGT%2BYRxF80KX%2Bx8S0LLG%2Bb8qIP1B%2BrPaKL7QYM3R5EI4s%2Fx0%2FTlTI7e95CTZ7tlmZJ0esnRSgasIfiiAAN8FMIh34DrQlxIyhLwE191vrZ%2Fxj8ae3a2j5NP%2BufsmEIZoeYos8GrwQXsBEw%3D%3D