Ximera tutorial
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How to use Ximera
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How is my work scored?
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A review of integration
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A review of differentiation
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A review of integration
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A review of integration techniques
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Areas between curves
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Area between curves
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Accumulated cross-sections
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Accumulated cross-sections
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Solids of revolution
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What is a solid of revolution?
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The washer method
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The shell method
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Comparing washer and shell method
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Length of curves
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Length of curves
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Surface area
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Surface areas of revolution
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Applications of integration
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Physical applications
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Integration by parts
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Integration by parts
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Trigonometric integrals
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Trigonometric integrals
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Trigonometric substitution
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Trigonometric substitution
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Partial fractions
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Rational functions
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Improper integrals
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Improper Integrals
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Sequences
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Sequences
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Representing sequences visually
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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 divergence test
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The divergence test
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The Integral test
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The integral test
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Alternating series
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The alternating series test
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Remainders
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Dig-In: Estimating Series
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Remainders for Geometric and Telescoping Series
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Remainders
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Remainders for alternating series
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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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Absolute and Conditional Convergence
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Absolute and Conditional Convergence
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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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Differential equations
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Differential equations
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Numerical methods
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Slope fields and Euler’s method
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Separable differential equations
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Separable differential equations
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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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Vectors
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Vectors
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Dot products
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The Dot Product
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Projections and orthogonal decomposition
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Cross products
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The cross product
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMuwoDIRBFf2WxzuqsrwXbFPmBpAlpRC0W3BUcBwIh%2Fx4N6TPNDPeeMy92%2BD0xxy6UsE03TJWdGI3l2HPbU%2FW8IPEUSYwUhdVrtEoHAGmsCavxcTFarl2Lvo1XEqSawc5grqCdVE4DV3a5dyIUqjgYsZcSKBOK4PP3kL1uW8ujPf%2ByxzH9m44ME0Op3YT3B7lN5s3RAAAA/HFD1%2F487jk8nsA76eaG1IZcjUq7l9qNYtGdErEWydRZXCxtJspytzG%2F93MGCh%2FZ65mvVBOacEB81Utm0G9b8MB03%2Fvs3m0MpDG0kmcKHvpTuBp7U2vGIyGe%2BXDbrIZkP%2FeBETtZD5HlZ5ASGAzu%2BwbfVphD1n89UrzEPDgJ2QmVAM5HQcsb8Q16upAgK1EK3Y70fT1eimgg49dpm%2FHM0MkKZjF3K3yGS8mdfxXqg0qRlxf2jfmCttMh7ofF4p96%2BKIOqz0hICbgEV%2BIiQuMPD9Cy66LSqooqxinGDbacyGP2cx8Zv%2Fe5uzTCjmUirweM71YDOOAtWSwchGKxgTJrDg%3D%3D