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/H4sIAAAAAAACA4WMzQrCMBCEXyXkbNs0bVqSqwfvogjiJSRbDPQHkqwVxHc3qd7dy7Az38yLznoCqugBIURyDuDpjmIWRZ9uAq%2FLJWAJFqvshqqTbWdEPzQ9M0LboZHApbAi1ayOeYozLoqaF5ydaqFaqbgsWSOviTAL%2BpCZyujRrC7ePTwcrNuLI4ZLso6bxRMeXRwzvf%2BlJDfIN7%2FN5N8lJK8Es%2Fi0wt4fvcsmU%2B0AAAA%3D/fnglu6Y56L%2B0wVkw%2BndfJnsQfLg%2BqR8fUElsvKFlUbfoJGmH6YaSX4VMykEesPtPiSQZVKlYcBw2%2FYO2Nb6f29eamjKq53Y8EUrHGU3gRX2KyMcYk3qiNmNDsjnI%2Fa21c0AyFyRYCQslOZ4kgoQ%2BF3N8kXIRCx%2BQg7fq0q1fkxMGMtJaV%2FYo8ycmrJRpQob3TaDMakhQDmsjwAUYs3lA5h2aMyEWDPn0HpsD7l6hY0nyMlXgZ80rsekWSNq08MEHRvujMFpsllwJatkmilyXGRIsi%2BgUGODNWM%2FLt8%2B%2FG%2FCmzzY901Ahc%2F8pUD2FBHAG%2ByNofvpRpBFgZPLAWk%2Fryw%3D%3D