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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Sequences as functions
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Sums of sequences
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Series
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Integral and divergence tests
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The integral test
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The divergence 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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Approximating functions with polynomials
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Approximating functions with polynomials
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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
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Partial derivatives
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The gradient
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The gradient
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Linear approximation
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Linear approximation
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Chain rule for functions of several variables
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The chain rule
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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 line integrals
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Green’s theorem as a planimeter
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Divergence and line integrals
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The shape of things to come
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Surface integrals
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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/H4sIAAAAAAACA4WMQQrCMBBFr1Kyts0kjabNrrjwAroRNzFNodA2kMmAIN7dpLh3NjP8%2F9682WZXzwy7kMdU3dBHdmBUlmGvefXRNgGp8SPxkiI%2FaTW1U6%2F6Z6fBAYgJemlblbXRpvJKglS1kDW0V6GN1EZ1jTiKeyZcoIiF4WsIjhZC7uyyH4PMfZrTUurzL3xs1b%2FJyK6iCzGr8PkCQnqTJtMAAAA%3D/KY912kpwIrBd%2BrSH6eiUeX90T8M98N7Z9y6Vx3%2F0oHIyUPLXb1%2FwNnCR1AXq%2BS5kWe%2FgwkWboCifFtA%2FM1a548TZyCYjT75x5awmPQSRRSUdQk77d0aXUFplz4GMgCzTFpHUKPdn7BoHGRfc%2FW5HtejhR2EpWa1KGNvFWBYLWNPv%2BCEp08ySlbJZqOwr2NCU42XK5NE7PlZMX9Pn8ux6U1mgD2kc%2BtQ9kyZriCAYPRHUtFuoCZlrLfcyj5fqScXzyo71gwGvOlbIf%2BOf26RfLqdLooP4ik52aN8%2BcDzZ9jGQylIo5VcgU%2FraDEtDI0YINkVXNufT%2FQZu13hxw9%2FaZQ%3D%3D