- 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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- 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 Integral test
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- The integral test
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- The divergence test
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- Dig-In: Estimating Series
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- Dig-In: 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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- Alternating series
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- The alternating series test
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- Remainders for alternating series
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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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- 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 and the gradient vector
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- Partial derivatives
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- Approximating with the gradient
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- Tangent planes and differentiability
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- Tangent planes
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- Differentiability
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- The directional derivative and the chain rule
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- The directional derivative
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- The chain rule
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- Interpreting the gradient
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- Interpreting the gradient vector
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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 Green’s Theorem
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- Green’s Theorem as a planimeter
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- Divergence and Green’s Theorem
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- The shape of things to come
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- Surface integrals
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- Drawing a Mobius strip
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- Divergence theorem
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- Stokes’ theorem
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- Overall
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