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A search of MERLOT materialsCopyright 1997-2014 MERLOT. All rights reserved.Fri, 28 Nov 2014 16:37:09 PSTFri, 28 Nov 2014 16:37:09 PSTMERLOT Search - userId=15840http://www.merlot.org:80/merlot/images/merlot.gif
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4434f'(x) and f(x)
http://www.merlot.org/merlot/viewMaterial.htm?id=76554
The applet "What does f '(x) say about f(x)?" illustrates the relationship between a function and its derivative.The Fundamental Theorem of Calculus
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The FTC applet assists students in understanding the concept of the area under a curve thus far.Secants and Tangents
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The following applet demonstrates the relationship between secants and tangents, average rate of change and instantaneous rate of change, and average velocity and instantaneous velocity.A Discrete Dynamical System
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This applet presents the graphical and numerical solutions for a first order, linear, nonhomogeneous discrete dynamical system (DDS) of the form:A System of Discrete Dynamical Systems
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This applet presents the graphical and numerical solutions for a first order, linear system of discrete dynamical systems.Harmonic Oscillator
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The "Harmonic Oscillator" applet can be used to visualize the solution to the second-order differential equation for a harmonic oscillator. The user can vary m, b, k, y0 (the initial position), and v0 (the initial velocity). When the parameters and initial conditions are changed, the applet plots the position of the mass as a function of time. Furthermore, the applet classifies the behavior and period of the motion (when the period exists), and it also determines the eigenvalues.System of Equations
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״A System of Linear Equations" graphs the equations of a 2 x 2 system of linear equations, illustrates the geometric interpretation of the system, identifies the type of solution, and finds the solution when applicableVectors in 2-Space
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The following applet allows users to plot three 2x1 vectors in 2-Space and gain insight about their linear independence and linear span. Two vectors are denoted as v1 and v2. The third is b. When possible the applet shows the linear combination of v1 and v2 necessary to form b.