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https://www.merlot.org/
-1-1Introduction to Calculus Applets
https://www.merlot.org/merlot/viewMaterial.htm?id=343859
<p>This site consists of several dozen applets, each pertaining to a different aspect of single variable Calculus. Topics covered range from continuity and limits to differential equations and infinite series. Each applet is on a separate page that also includes detailed explanations of the concept under review along with suggestions for student experimentation with the applet. Each applet can be opened in a resizable window for better viewing as a classroom demonstration.</p>Sun, 12 Oct 2008 00:09:46 GMTThomas DowneyPopulation Modeling Applet
https://www.merlot.org/merlot/viewMaterial.htm?id=314085
<p>In this applet, the user applies Euler's Method to modeling population growth using the Malthus exponential model and the Verhulst constrained growth model. After finding the Euler solution, the user can check the solution with the Adaptive Euler Approximation or with a slope field. Also, the user can enter an exact solution obtained from separating variables (or whatever) and again check the Euler solution graphically.</p>Tue, 03 Jun 2008 14:04:20 GMTDon Kreider; Dwight Lahr Department of Mathematics, Dartmouth College; Department of Mathematics, Dartmouth CollegeFunctions Defined by Series
https://www.merlot.org/merlot/viewMaterial.htm?id=249164
<p><span style="font-size: x-small;">This applet is a sub-site of the <a href="viewMaterial.htm?id=239777">Math Applets for Calculus at SLU</a> site. </span>This applet is designed for the visual exploration of functions defined as a sum over k of terms in x. The user can also enter and plot another function: for example, the limit function of the series when it can be expressed in closed form.</p>Sun, 08 Apr 2007 17:08:54 GMTMike MaySequences and Series Applet
https://www.merlot.org/merlot/viewMaterial.htm?id=249162
<p><span style="font-size: x-small;">This applet is a sub-site of the <a href="viewMaterial.htm?id=239777">Math Applets for Calculus at SLU</a> site. This applet provides a graphical interface through which the user can visualize and explore five sequences and their corresponding series. The user has control over a number of parameters including the number of terms, whether to plot terms, sums or ratios, and whether to plot points or lines.<br /></span></p>Sun, 08 Apr 2007 16:53:51 GMTMike MayDESSolver: Ordinary Differential Equation System Solver
https://www.merlot.org/merlot/viewMaterial.htm?id=85814
This site provides a Java applet that graphs approximate solutions to ODE's using various methods: Runge-Kutta, Euler, Heun, and Dormand Prince. The applet also gives numerical results in tabular form for its solutions.Tue, 07 Feb 2006 08:00:00 GMTLangner, Jens; Arndt, Jürgen; Krämer, Felix University of Applied Sciences, DresdenEscher and the Droste Effect
https://www.merlot.org/merlot/viewMaterial.htm?id=83200
<p>The goal of this site is to visualize the mathematical structure behind M.C. Escher's picture called "Print Gallery" (1956). The visualization itself is largely non-mathematical and is accomplished through many still images and animations. The actual mathematics, involving conformal mappings of the complex plane, is contained in a pdf copy of the original AMS publication. The Droste Effect refers to any image that contains itself on a smaller scale.</p>Mon, 28 Feb 2005 08:00:00 GMTLenstra, Hendrik W., and de Smit, Bart Mathematisch Instituut, Universiteit LeidenJavaView Algebraic Surface Solver
https://www.merlot.org/merlot/viewMaterial.htm?id=323253
Quoted from the site: This web service calculates 3D models using JavaView on the client side and Richard Morris' LSMP package on the server side. Basically, this plots surfaces of the form f(x,y,z)= c.Tue, 01 Jul 2008 14:38:07 GMTKonrad PolthierJavaView ODE Solver
https://www.merlot.org/merlot/viewMaterial.htm?id=323057
This is a graphical ODE solver employing the fourth-order Runge-Kutta method with constant step size.Tue, 01 Jul 2008 02:24:05 GMTKonrad Polthier JavaView Interactive 3D Geometry and VisualizationJavaView Root Finder
https://www.merlot.org/merlot/viewMaterial.htm?id=323277
This is a graphical applet that finds the roots of a real-valued function.Tue, 01 Jul 2008 14:56:59 GMTKonrad Polthier JavaView Interactive 3D Geometry and VisualizationLeast Squares Applet
https://www.merlot.org/merlot/viewMaterial.htm?id=314427
<p>Quoted from the site: This applet explores fitting a polynomial p(x) of degree n to a given set of data points. It computes the best least squares approximation to the data, "best" in the sense that SUM (p(xi) - yi)^2 is minimized. The applet provides controls for choosing the degree n, setting the precision of all displayed numbers, selecting and deselecting data points, and editing the data list. It also allows for entry of your own custom polynomial and computing its least squares error.</p>Wed, 04 Jun 2008 20:06:21 GMTDon Kreider; Dwight Lahr Department of Mathematics, Dartmouth College; Department of Mathematics, Dartmouth CollegeMath Applets at SLU - Below Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=239763
This is a page of links to applets that can be used in courses below the level of calculus. Most of these applets have been constructed at Saint Louis University Department of Mathematics and Computer Science. Some applets are designed to explore triangle construction or to illustrate various theorems from geometry and trigonometry. Other applets deal with the construction of graphs of functions, conics, and vectors.Tue, 06 Feb 2007 02:27:01 GMTMike MayMath Applets for Calculus at SLU
https://www.merlot.org/merlot/viewMaterial.htm?id=239777
This is a page of links to applets that can be used in calculus. These applets provide visualizations in both single and mulitiple variable calculus on topics including differentiation, integration, series, and vectors.Tue, 06 Feb 2007 02:44:00 GMTMike MayPrinciples of Calculus Modeling: An Interactive Approach
https://www.merlot.org/merlot/viewMaterial.htm?id=297526
<p>Quoted from the site: This Web site contains a page for each section of the book Principles of Calculus Modeling, an Interactive Approach. A section page includes a summary of the section, an on-screen applet demonstrating the key point of the section, and what you should know after studying the material of the section. It also includes links to * additional in-depth applets, * worked examples, * videos of problems being worked out by students and teachers, * a quiz (with answers) that you can take to test your knowledge, * a link to a PDF document with of all the exercises of the section, * a link to these same exercises in interactive form with answer feedback, and * hypertext links to other supplementary materials on the Web that you might find useful, such as sample exams.</p>Tue, 11 Mar 2008 04:14:47 GMTDonald Kreider; Dwight Lahr; Susan Diesel Dartmouth College; Dartmouth College; Norwich UniversityScott Sarra's Applet Collection
https://www.merlot.org/merlot/viewMaterial.htm?id=323029
This is a collection of approximately 20 applets in Precalculus, Calculus, Ordinary Differential and Difference Equations, Partial Differential Equations, Numerical Analysis, and Numerical Partial Differential Equations. All applets are graphical in nature.Tue, 01 Jul 2008 01:39:00 GMTScott Sarra Department of Mathematics, Marshall UniversityBasic Ecological Models
https://www.merlot.org/merlot/viewMaterial.htm?id=223092
<p><span style="FONT-SIZE: 9pt; FONT-FAMILY: Arial; mso-fareast-font-family: Times New Roman; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">This is a subsite associated with the parent site called IDEA (Internet Differential Equation Activities). The activity on this page is an introduction to exponential and logistic growth models applied to various ecological systems. Nine problems explore such concepts as asymptotic behaviour, carrying capacity, harvesting, equilibria, and stability. Java applet graphing utilities are conveniently placed throughout to provide visualization of solutions.</span></p>Tue, 17 Oct 2006 18:29:32 GMTTom LoFaro; Kevin Cooper; Ray Huffaker Washington State University; Washington State University; Washington State UniversityDetermining Continuity Applet
https://www.merlot.org/merlot/viewMaterial.htm?id=314072
<p>In this applet, the user selects or inputs a function and chooses a point x = a at which to check continuity. The applet will calculate several dozen values of f(x) near x = a. From this data, which is presented both in a table and in a graph, the user can make a conjecture regarding continuity at x = a. Limits at infinity are also considered.</p>Tue, 03 Jun 2008 12:51:40 GMTDwight Lahr; Don Kreider Department of Mathematics, Dartmouth College; Department of Mathematics, Dartmouth CollegeTaylor Polynomial Approximation Applet
https://www.merlot.org/merlot/viewMaterial.htm?id=249125
<p style="margin-bottom: 0in;"> </p><p style="margin-bottom: 0in;"> </p><p style="margin-bottom: 0in;"><span style="font-size: x-small;">This applet is a sub-site of the <a href="viewMaterial.htm?id=239777">Math Applets for Calculus at SLU</a> site. This applet provides a graphical interface through which the user can input the function f(x), the point about which to expand, and the degree of the Taylor polynomial approximation. The applet graphs f(x), the Taylor polynomial, and the error function. </span></p><p style="margin-bottom: 0in;"> </p><p style="margin-bottom: 0in;"> </p><p> </p>Sun, 08 Apr 2007 00:39:24 GMTMike MayInteractive Materials for Classroom Demonstrations
https://www.merlot.org/merlot/viewMaterial.htm?id=323408
<p>This site provides about 35 graphical applets on topics relative to Algebra, Precalculus, Calculus, and Statistics. These are designed for classroom demonstrations of various mathematical/statistical concepts.</p>Tue, 01 Jul 2008 15:44:49 GMTMathematics Department, The Lawrenceville SchoolModel Neurons and Fast-Slow Systems
https://www.merlot.org/merlot/viewMaterial.htm?id=229222
<p>This is a sub-site of <a href="http://www.sci.wsu.edu/idea/">IDEA (Internet Differential Equations Activities)</a>. This learning material is a lab-type exploration of how a neuron responds to external stimulus. The physical system is modelled using the Morris-Lecar differential equations, which are similar to the Hodgkin-Huxley equations. For phase plane analysis, a Java-applet graphing utility is provided.</p>Sun, 26 Nov 2006 19:29:05 GMTKevin Cooper; Tom LoFaro Washington State University; Washington State UniversityA Model of a Hydroplane
https://www.merlot.org/merlot/viewMaterial.htm?id=223098
<p class="MsoNormal" style="MARGIN: 0in 0in 0pt"><span style="FONT-SIZE: 9pt; FONT-FAMILY: Arial">This is a subsite associated with the parent site called IDEA (Internet Differential Equation Activities). The activity on this page explores the effect of drag in modeling the motion of a hydroplane racing boat using the basic force balancing equation.<span style="mso-spacerun: yes"> Interactive J</span>ava applet graphing utilities provide visualizations of the results. </span></p>Tue, 17 Oct 2006 18:46:15 GMTRonald Poshusta; Ray Huffaker; Kevin Cooper; Tom LoFaro Washington State University; Washington State University; Washington State UniversityThe El Niño / Southern Oscillation
https://www.merlot.org/merlot/viewMaterial.htm?id=229221
<p>This is a sub-site of <a href="http://www.sci.wsu.edu/idea/">IDEA (Internet Differential Equations Activities)</a>. The qualitative aspects of El Niño - Southern Oscillation, called ENSO, is here modeled in terms of simple differential equations. The model is explored with a series of exercises. These exercises deal with equilibria and stability, and a Java-applet graphical DE solver is provided.</p>Sun, 26 Nov 2006 19:14:17 GMTKevin Cooper; Tom LoFaro Washington State University; Washington State UniversityMedians and Area Bisectors of a Triangle
https://www.merlot.org/merlot/viewMaterial.htm?id=83150
This site contains a java applet that finds medians and area bisectors of a triangle. There is also a related discussion of deltoids. Links on this page to other math topics include: an animated proof of the Theorem of Pythagoras and a page of formulas for the area of a triangle.Sun, 20 Feb 2005 08:00:00 GMTBottomley, HenryMIT OpenCourseWare -- Calculus with Applications
https://www.merlot.org/merlot/viewMaterial.htm?id=85808
This is material for a course taught at MIT by Prof. Daniel J. Kleitman. Primarily, the content consists of an online textbook and a collection of interactive Java applet tools. The applets "are intended to make the subject easier to learn and more fun." Topics from Precalculus through Differential Equations are covered.Mon, 06 Feb 2006 08:00:00 GMTKleitman, Prof. Daniel J. Massachusetts Institute of TechnologyTruth Table Practice
https://www.merlot.org/merlot/viewMaterial.htm?id=280702
This page generates random truth table problems involving two simple statements P and Q. The user enters solutions and then checks for correctness.Thu, 08 Nov 2007 04:24:55 GMTPeter Williams California State University, San Bernardino