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/H4sIAAAAAAACA4WMywrCMBBFf6VkbZtXG9vsxIU%2FoBtxk6YjFNoGMhkQxH83Ke6dzQz3njNvtrkVmGUXAkzVDSGyA6OyLHvNK0TXBKQGJuIlRW76tjfSa3kENXZaS3hOwwg%2Ba5NL5ZUSqquFqaW4SmPb3grdmFbfM%2BEDRSwMX0PwtBBy75b9OKncpzktpT7%2FwsdW%2FZuM7Cr6ELMqPl9ignw%2B0wAAAA%3D%3D/n%2FBDYuUU0ES9xAVhCU2NqC6FK9BYXCf%2FjyijTXYQ0jW9mHZANP44ooCuwckux01flOUPpYbGppnyr1iu0%2F2jAg0wkwINDglLMHlRTBq1zy30RpTkWRktg80579jjq7VO2S%2Fs2fkyAhuRgzkV0RKJ45a4YQO0JBtAmw7QnnW2gI1FrfqsysraG3Q8l%2BxByrBZco%2FHDAOIrPOGZoBhpdptDJq7A%2BvFCQkI0Iu8QUQgKg0v1Rvv3KS8Fnvpz%2BUUGeZRpC6uhbfITSNaXzUhTY28iCwj88WoU8B7Aa3mt7UoW%2BXWJP90wpp3FDoDcyOa8QHmAPmvmb6zgal6YYe7NqMBKQ%3D%3D