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/H4sIAAAAAAACA4WMTQvCMAyG%2F8ro2a2x%2B3DrTTz4B%2FQiXmJWYbCt0DQgiP%2Fddng3l4T3fZ681YqLU1adxXEsruyC2inJy6rXtLiAlWep3Cg6p6y7%2FoFApgXq6hYOnakRacRn0kaM%2BZUB05YwlNBcjLGwtzBUQ9PfEkFeAmdGL96TzMKacN6Oo0l9nOKc69MvvK%2FFv0nIpjL5kFT4fAEf%2BKu60wAAAA%3D%3D/StK6KC8f%2B7Z2O8U4QQyVKd3sXPhdSpRkNXsddR3rFpJtE21z4%2Bjq%2BzWintLRP%2B7VSNBco6dfQpunrgJMP8z8OE3J%2BDB14aFfyBif18vy5gzy4aeiTR9utnWOVJc1os8l2SL04yLEZHJaTlW8NGnUCIfMjLDF1bI6d1HHQO3QPs6VTSta7WpCnlwd6uFVqYEwDbj6x16oZnqAa121ROZoRJyHSRWFN0R2N6%2BKypQ5EX2D9jKCe40SpKgP6v1lhGgEBNsNGq3JGgfpEhaWWNXtwxju7AXgJOePfuGpxUm%2FkOBP8zN4Lwdikz7oD%2Bxtkp233nH3X2U6sFFw8u28hCpeGQ%3D%3D