Browsing: All Content in Calculus for Applications of Derivatives Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
$? |
Rating |
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Animation of the ball with a g...
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Velocity, speed, accel. (Calculus) |
Java Applet |
Tool |
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[0]
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An animation of a ball bouncing up and down, with a clock and graphs of the ball's height and velocity versus time.
More: lessons, discussions, ratings, reviews,...
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Antiderivatives and Initial Va...
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Differential equations (Calculus) |
Computer |
Activity |
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[2]
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Quiz (with answers) on antiderivatives and basic differential equations.
More: lessons, discussions, ratings, reviews,...
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Antiderivatives and Initial Va...
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Differential equations (Calculus) |
Computer |
Tool |
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[0]
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RealMedia movies of worked problems on antiderivatives and basic differential equations.
More: lessons, discussions, ratings, reviews,...
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Antiderivatives and Initial Va...
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Differential equations (Calculus) |
Java Applet |
Tool |
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[0]
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Slide a function to see different solutions of the equation dy/dx = x^2.
More: lessons, discussions, ratings, reviews,...
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Area of a Rectangle Inscribed ...
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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[0]
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What is the rectangle with the maximum area which can be inscribed in a semicircle? Experiment, then see the solution.
More: lessons, discussions, ratings, reviews,...
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Average Velocity
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Velocity, speed, accel. (Calculus) |
Java Applet |
Tool |
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[0]
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Analyze graphs of the position, velocity, and acceleration of a ball dropped from the Leaning Tower of Pisa.
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Basins of Attraction
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Applications of Derivatives (Calculus) |
Java Applet |
Tool |
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Experiment with Newton's method and basins of attraction.
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Box Volume
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Optimization and extrema (Calculus) |
Sketchpad |
Tool |
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Make an open-top box from a sheet of paper by cutting squares out of the corners. See how the volume of the box changes as the sides of the squares change. The link to the tool itself downloads the ...
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Case Study: Torricelli’s Law
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Differential equations (Calculus) |
Computer |
Support Material |
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[1]
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Introduction to a calculus Case Study on differential equations and Torricelli's Law.
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Computer Project 2
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Applications of Derivatives (Calculus) |
Computer |
Activity |
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[1]
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Some suggestions for experimentation with a polynomial function in various Newton's Method applets.
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Coulomb's Law
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Velocity, speed, accel. (Calculus) |
JavaScript |
Tool |
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Explore the interactions of two particles based on the direction and magnitude of their charges, and on their initial positions.
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Cross Section of Gutter
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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A gutter is made from a rectangular plate; use trial and error to find the maximum area of the cross section.
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Curve Analysis: Basic
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Monotonicity and concavity (Calculus) |
Java Applet |
Tool |
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A Java applet that introduces curve analysis, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Curve Analysis: Global Extrema
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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A Java applet that explores global extrema, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Curve Analysis: Special Cases
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Monotonicity and concavity (Calculus) |
Java Applet |
Tool |
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[0]
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A Java applet that explores special cases of curve analysis, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
More: lessons, discussions, ratings, reviews,...
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Demos for Related Rates Proble...
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Related rates problems (Calculus) |
Computer |
Support Material |
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[0]
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This page includes a description of solution techniques for (time-dependent) related rates problems, and a gallery of ten "movies" to illustrate different problems.
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Derivative Module
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Velocity, speed, accel. (Calculus) |
Computer |
Lesson Plan |
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A series of worksheets and exercises to teach students about graphs, distance, velocity, and acceleration.
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Derivative Quiz 2
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Applications of Derivatives (Calculus) |
JavaScript |
Tool |
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[0]
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An interactive quiz on increasing/ decreasing tests, first and second derivative tests for maxima and minima, and related rates. Gives hints and calculates score.
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Derivative Review 2
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Applications of Derivatives (Calculus) |
Computer |
Support Material |
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[0]
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Brief review of increasing/ decreasing tests, first and second derivative tests for maxima and minima, and related rates.
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Derivatives of Inverses
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Derivative of inverse function (Calculus) |
Java Applet |
Tool |
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A Java applet that illustrates the derivative of inverse functions, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Derivatives of Sine and Cosine
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Velocity, speed, accel. (Calculus) |
Java Applet |
Tool |
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An animation showing a point rotating around a circle, and the velocity of that point.
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Derived Function
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Velocity, speed, accel. (Calculus) |
Java Applet |
Tool |
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How do average velocity and acceleration compare with the graph of a function?
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Differential Equations(Paramet...
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Slope fields (Calculus) |
Java Applet |
Tool |
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Graph functions based on slope fields.
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Direction Field of First Order...
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Slope fields (Calculus) |
Java Applet |
Tool |
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This is a fairly quick applet for graphing direction fields for differential equations of the form y' = f(x,y). Clicking on the field will produce the solution curve through the selected point. Limi...
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Direction Fields
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Slope fields (Calculus) |
Java Applet |
Tool |
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[0]
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Explore slope fields corresponding to various functions.
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