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/H4sIAAAAAAACA4WMywrCMBBFf6VkbfMypiVbF%2F6AbsRNkk6h0DaQyYAg%2FruJuHc2M9x7zrzY7jdgjl0IsHQ3hMwOjNpy7LlskD1PSBwmEi1FYRWcvA0SvJnDOI3DHGYbpa3a5Et7paXWvVS9Gq5qcNo6OfKjMfdKxEQZGyO2lCKthCL69XvoWpelrK09%2F7LH3v2bijQTY8rVlO8PzE%2B%2FLNEAAAA%3D/pZPXBw4OY0iEUmZQWGSqpvXK2b3WnbuJexTUxy%2BroAb77j9Ks41kIc6B5wjziyEnU4dbYXxPz5HV818vY5%2FpGokiCu%2FKU7S%2BjFJt5CjAFSnUpRvftnhcUjLktDfGHq%2BmtqN09mSxI71HNNgg32jox12ArsXlU8T0Yh1NQsv5iGbmydVx%2BrIlF24jpo5QuaRqW7W9SXNMHuTMof10D3iuGprTE%2BKAysb%2BoThAjWXNai5Y7zNwfOJFmpPBzI8L4AINekCJXNWz2paPZuV9aaiQgLIH8V8SVRV4ueKVVOrZwFJrp%2B%2FBJVVLFVB%2Bt17pkIUured5NkhviDyRrON4yk4A%2FA%3D%3D