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
 
Equations and Inequalities
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Needed Score?
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Equations
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Inequalities
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Understanding functions
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Same or different?
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For each input, exactly one output
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Compositions of functions
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Inverses of functions
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What is a limit?
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Stars and functions
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What is a limit?
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Polynomial functions
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How crazy could it be?
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Working with polynomials
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End behavior
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Graphs of polynomial functions
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Rational functions
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Will it divide?
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Working with rational functions
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Rational equations and inequalities
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Graphs of rational functions
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Limit laws
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Equal or not?
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Continuity
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The limit laws
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The Squeeze Theorem
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(In)determinate forms
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Could it be anything?
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Limits of the form zero over zero
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Limits of the form nonzero over zero
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Practice
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Using limits to detect asymptotes
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Zoom out
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Vertical asymptotes
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Horizontal asymptotes
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Slant asymptotes
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Continuity and the Intermediate Value Theorem
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Roxy and Yuri like food
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Continuity of piecewise functions
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The Intermediate Value Theorem
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Practice
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Content for the Second Exam
 
An application of limits
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Limits and velocity
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Instantaneous velocity
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Definition of the derivative
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Slope of a curve
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The definition of the derivative
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Derivatives as functions
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Wait for the right moment
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The derivative as a function
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Differentiability implies continuity
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Rules of differentiation
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Patterns in derivatives
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Basic rules of differentiation
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Product rule and quotient rule
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Derivatives of products are tricky
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The Product rule and quotient rule
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Chain rule
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An unnoticed composition
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The chain rule
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Content for the Third Exam
 
Exponential and Logarithmic Functions
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An interesting situation
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Exponential and logarithmetic functions
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Derivatives of exponential functions
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Interesting changes
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The derivative of the natural exponential function
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Derivatives of exponential and logarithmetic functions
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Higher order derivatives and graphs
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Rates of rates
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Higher order derivatives and graphs
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Concavity
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Position, velocity, and acceleration
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Trigonometric Functions
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Follow the bouncing pen.
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Trigonometric functions
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Derivatives of trigonometric functions
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How fast was the pen going?
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The derivative of sine
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Derivatives of trigonometric functions
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Maximums and minimums
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More coffee
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Maximums and minimums
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Additional content for Autumn Final Exam
 
Mean Value Theorem
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Let’s run to class
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The Extreme Value Theorem
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The Mean Value Theorem
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Optimization
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A mysterious formula
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Basic optimization
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Applied optimization
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Volumes of aluminum cans
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Applied optimization
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMzQrCMBCEXyXkbNs0LTHJ1YN3UQTxEtMUA%2F2BJGsF8d3dFPHqHnaZ2W%2FmRSczOqrpHlxM5BRdoBsK%2BWj69KMLppwjlK6DKruxElvRKCsZ46xpe9y3vhad5BjrTMpVnPG2qHlRqyNrNVO6EaWU6oKEnSHEzFTWDHbx6R7cw7tllTBAPKN1WC2kk09DhnffJyE5cZ3Iv0HkVxLtHLCEvT9BVmWr6wAAAA%3D%3D/pMABfC4sD9d0c8aeB5qKYnwY7ruTEsyOi5VGCBgnELjWrkqIoz3vq7pz46Ea2D%2FSwhXttTRnNnkHGHJdmmnH3hDrUZEWeScSz2WtpbEqQnt0CxX%2FhzADVg6Gro8P2UmESPBKhtABddPfcBY5q%2BRFI2ImDNua0zzLp5feGJsfmJn0E9w2%2FVkOkjne%2FTSTJVF3BhFz%2FQ4AECqsZHypkKjOqbHoxo%2FPxxhWRurFPnecBLyixH3JV4K%2B%2F4yWwXVh02865Gk%2B9KdxZ9Ym3oSy2%2F%2F2wa5r8kXYoE%2BjF%2Fkz9l%2BXhytfN%2FqFsfMroMuRBTAU8ZEODsNqPDhIkQqRkxuTne%2Fv%2FQ%3D%3D