Ximera tutorial
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How to use Ximera
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How is my work scored?
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Content for the First Exam
 
Review of Limits
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Guess the Value
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Review Limits.
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Review of differentiation
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Review Derivatives BreakGround
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Review Derivatives
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Linear approximation
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Replacing curves with lines
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Linear approximation
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Explanation of the product and chain rules
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Concepts of graphing functions
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What’s the graph look like?
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Concepts of graphing functions
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Computations for graphing functions
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Wanted: graphing procedure
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Computations for graphing functions
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Implicit differentiation
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Standard form
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Implicit differentiation
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Finding dx dy
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Logarithmic differentiation
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Multiplication to addition
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Logarithmic differentiation
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Content for the Second Exam
 
Inverse Trigonometric Functions
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Inv Trig Function BreakGround
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Inverse trigonometric functions
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Derivatives of inverse trigonometric functions
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Derivatives of inverse trigonometric functions BreakGround
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Derivatives of inverse trigonometric functions
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The Inverse Function Theorem
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More than one rate
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A changing circle
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More than one rate
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Applied related rates
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Pizza and calculus, so cheesy
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Applied related rates
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L’Hopital’s rule
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A limitless dialogue
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L’Hopital’s rule
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L’Hopital’s rule for other forms
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Indeterminate mutterings
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L’Hopital’s rule for other forms
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Antiderivatives
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Jeopardy! Of calculus
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Basic antiderivatives
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Falling objects
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Content for the Third Exam
 
Approximating the area under a curve
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What is area?
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Approximating area with rectangles
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Area approximations in sigma notation
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So many rectangles.
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Sigma Notation
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Area approximations with sigma notation
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Definite integrals
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Computing areas
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The definite integral
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Properties of the definite integral
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Computing areas
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Properties of the definite integral
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First Fundamental Theorem of Calculus
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What’s in a calculus problem?
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The First Fundamental Theorem of Calculus
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Second Fundamental Theorem of Calculus
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A secret of the definite integral
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The Second Fundamental Theorem of Calculus
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A tale of three integrals
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Applications of integrals
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What could it represent?
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Applications of integrals
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Additional content for the Final Exam
 
The idea of substitution
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Geometry and substitution
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The idea of substitution
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Working with substitution
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Integrals are puzzles!
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Working with substitution
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The Work-Energy Theorem
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMSwvCMBCE%2F0rI2bbJlr5y9eBdFEG8xDRioA%2FIJlYQ%2F7vZ6t29DDvzzbz4pEfLFd9Fi4Ed0Xq%2B4ZFE8acbrdf5jDG3fSzIxaJu2ltpGtk2UEp9A6GvUEFfplqvA02BgCoTMgN5ELWSnYIu76r6nAgzR4%2FEFEYPZnHh7u3D2WV94xDxlKz9akHCgwsD0dtfyqjBvvllYv8uIbSCZvZpRbw%2FNZyaBO0AAAA%3D/XlAsCR0ItSPq%2FQ57Uc6dkDZ0LOOhBvtMFrpipezswNNvuOcuCBz%2FVFmmKPhCQUF%2FDLywvx4y6hSBQU8S0gZk64BMvBoaj%2FFDPBArYFms6atbc%2BEtvnYe4iuej1lH3QlU8WiVwZGC10SboSoH3eQfeQptAKu0IGcA9Z6oF3gEI5QKoB8v9M%2FEx%2BQHt9jG%2FTqT3s61%2BapDnt3by6SnM1%2BuIaK7XiVMJbNjlBDqBWg5VLWsi2Vmv740lH1REeuV%2BelQ8%2F0GHOfQtL6YC5XhPxRoPzBvlXKCVkvh3DxeNwuYTdlm67oX%2FenLPR%2BwxMIENlG7911vNUDbGOgNWnHFdtkd2g%3D%3D