Browsing: All Content in Calculus for Applications of Derivatives Browse discussions |
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Technology |
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Velocity and Acceleration: Qui...
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Velocity, speed, accel. (Calculus) |
Computer |
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Quiz (with answers) on position, velocity, and acceleration.
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The Art Gallery Problem
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Optimization and extrema (Calculus) |
TI-Nspire |
Activity |
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[0]
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The question of where patrons should stand to enjoy the best view of a painting is one that art gallery curators must consider on a regular basis. For this activity, we will consider a painting that i...
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The Beach Race
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Optimization and extrema (Calculus) |
TI-Nspire |
Activity |
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In a beach race, contestants must swim to a point along the beach and then run to reach the finish line. Where should I aim to land on the beach so as to minimize my total time for the race? Stu...
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Derivative Module
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Velocity, speed, accel. (Calculus) |
Computer |
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A series of worksheets and exercises to teach students about graphs, distance, velocity, and acceleration.
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Case Study: Torricelli’s Law
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Differential equations (Calculus) |
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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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Demos for Related Rates Proble...
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Related rates problems (Calculus) |
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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 Review 2
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Applications of Derivatives (Calculus) |
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Support Material |
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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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Inverse Function Theorem Apple...
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Derivative of inverse function (Calculus) |
Computer |
Support Material |
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Inverse Function Theorem applet.
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Newton Basins
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Newton's Method (Calculus) |
Computer |
Support Material |
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A discussion of Newton Basins, the areas in the complex plane where Newton's method converges to a given root.
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Newton's Method
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Applications of Derivatives (Calculus) |
Computer |
Support Material |
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Describes Newton's Method for approximating the roots of a function.
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Newton's Method
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Newton's Method (Calculus) |
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Describes Newton's Method for finding the roots of an equation.
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Newton's method for f(x) = 0
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Applications of Derivatives (Calculus) |
Computer |
Support Material |
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[1]
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Describes the convergence rate of Newton's method.
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Separable Differential Equatio...
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Differential equations (Calculus) |
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Support Material |
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[1]
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Example problems on separable differential equations.
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The Solution Stability of Van ...
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Applications of Derivatives (Calculus)+ |
Computer |
Support Material |
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We consider the Van Der Pol differential equation n : x"+w^2*x - mu*(1- lambda*x^2 )*x'= 0 ( 0 )
Two topics that we will be in discussion are
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The Solution of a Variable Bou...
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Applications of Derivatives (Calculus)+ |
Computer |
Support Material |
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The relations between stress and strain in linear viscoelastic theory are discussed from the viewpoint of application to problems of stress analysis. This consideration includes some important diff...
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The Zebra Danio and Its Escape...
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Derivative of inverse function (Calculus)+ |
Computer |
Support Material |
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[1]
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Discusson, with examples, of an application of the derivative of the inverse tangent to a predator-prey sensing situation in fish. Includes questions for students at the end.
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Using Computer-Based Laborator...
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Velocity, speed, accel. (Calculus) |
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Support Material |
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A research paper about the success of lessons using motion sensors and Java applets in teaching about graphs, distance, velocity, and acceleration.
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IntegralCurves.java
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Slope fields (Calculus) |
Java Applet |
Support Material |
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Source code for the IntegralCurves applet.
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Antiderivatives and Initial Va...
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Differential equations (Calculus) |
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Tool |
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RealMedia movies of worked problems on antiderivatives and basic differential equations.
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Implicit Differentiation
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Implicit differentiation (Calculus) |
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RealMedia movies of worked problems on implicit differentiation.
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Introduction to the Issues
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Velocity, speed, accel. (Calculus) |
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Tool |
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RealMedia movies of worked problems on average velocity and acceleration.
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Introduction to the Issues
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Differential equations (Calculus) |
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Tool |
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A RealMedia movie: what is a differential equation?
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Inverse Function Theorem
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Derivative of inverse function (Calculus) |
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Tool |
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A Geometer's Sketchpad document used to create an applet to investigate the relationships between the sine function, the inverse sine function, and their derivatives.
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Newton's Method
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Newton's Method (Calculus) |
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RealMedia movies of worked problems: when does Newton's Method converge to a solution, and when does it fail?
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ODE Toolkit
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Differential equations (Calculus) |
Computer |
Tool |
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ODE Toolkit can numerically find and display the solutions to differential equations. It is useful when you want to visualize the solutions to differential equations, or when analytic solutions are no...
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