1. IDEA - Internet Differential Equations Activities CODEE, the Consortium for Differential Equations Experiments, has been revitalized. CODEE was quite active in the 1990s in spreading differential equations activities, information http://www.sci.wsu.edu/idea/

Department of Mathematics IDEA: Internet Differential Equations Activities Cooper MyMath Math Club Job Opportunities ... CODEE IDEA is Internet Differential Equations Activities, an interdisciplinary effort to provide students and teachers around the world with computer based activities for differential equations in a wide variety of disciplines. IDEA is sponsored by the National Science Foundation with a grant from the Division of Undergraduate Education. The Idea behind IDEA As with every site on the Web, IDEA is evolving. IDEA contains a database of computer activities illustrating both mathematical concepts and the application of these concepts in a wide variety of disciplines. The aim is to show differential equations where they live, rather than in a purely mathematical setting. In addition to the exercises, it provides a variety of software for solving and describing differential equations. These packages include DynaSys , a package for Microsoft operating system that can be used in a very flexible way to create displays of solutions of differential equations; Java software that may be used over the Web to develop your own activities, or to work on the ones presented here; and Flash components that again may be used to develop differential equations activities.

2. Learning Materials This is a subsite of IDEA (Internet Differential Equations Activities). This learning material is Type Simulation Date Added Nov 26, 2006 http://www.merlot.org/merlot/materials.htm?category=2536

3. IDEA - Internet Differential Equations Activities This exercise requires the solution of linear second order equations. Maximum and minimum values of parameters must be found to allow a person to survive a jump. http://www.sci.wsu.edu/idea/Bungee/

Department of Mathematics IDEA: Internet Differential Equations Activities Cooper MyMath Math Club Job Opportunities ... CODEE Bungee Jumping This exercise requires the solution of linear second order equations. Maximum and minimum values of parameters must be found to allow a person to survive a jump. The meaning of zeros of the solution and its derivative, as well as the effect of a nonlinear term , are discussed qualitatively. Suppose that you are a bungee jumper, standing on a bridge somewhere in Colorado. Three hundred feet below you, a lovely little stream meanders through a scenic canyon. The lovely stream is six inches deep, and has lots of sharp pointy rocks in it. You have brought a variety of cords with which to secure your feet, ranging in stiffness from a steel cable to a soft rubber band. Every one of the cords is exactly 160 feet long, when hung from the bridge. If you choose a cord that is too stiff, then your body will no longer form a connected set after you hit the end of the cord. On the other hand, if you choose one that is too soft, your body may still be moving for a short time after you pass the point 300 feet below where you are standing. Which cord should you choose, if any? This physical system was studied by famous bungee jumper Robert Hooke about 300 years ago. Hooke's Law states that the force exerted on your body by the cord is proportional to the distance of your body past the

4. Interesting Links IDEA Internet Differential Equations Activities; The Electronic Journal of Differential Equations; Eric Weisstein's World of Mathematics; Cornell Digital Library Math Book Collection http://web.mst.edu/~sclark/Links.html

Interesting Links Mathematics e-MATH: The American Mathematical Society MathSciNet Search Math on the Web (AMS) National Science Foundation ... Cornell Digital Library: Math Book Collection TeX TeX Users Group CTAN-Web Home Page AMS TeX Resources WinEdt ... MikTeX Other Web of Science - Science Citation Index CyberTimes Navigator WWWebster Dictionary Bartleby: Great Books Online ... Other Links

5. IDEA - Internet Differential Equations Activities Two other software packages are being developed for use with the IDEA project. Both of these packages are currently in an early state of development. http://www.idea.wsu.edu/software.php

Department of Mathematics IDEA: Internet Differential Equations Activities Cooper MyMath Math Club Job Opportunities ... CODEE The latest addition to the IDEA software library comprises tools to plot functions and orbits of initial value problems using Macromedia Flash. These allow you to drag plotting components and tools to manipulate parameter values to the stage of a Flash movie, and build the content around those components. For more details go to the Mathematical Flash home page. Two other software packages are being developed for use with the IDEA project. Both of these packages are currently in an early state of development. The date on which they were last changed is listed below. Note that the first posting of these packages occurred on Jan 3, 1997, and judge their state of development based on that. Please report all bugs to the developer, Kevin Cooper The first package is a Java code generator, that you may use to develop applets that may be placed in exercises that you develop. The code generator allows you to specify the characteristics of the applet you desire, writes the Java code, and compiles it on our machine. You are then offered a link to a page that shows the applet working. It is entirely Web-based. Go to the Java Generator.

6. Ray G. Huffaker LoFaro, T., K.D. Cooper, R.G. Huffaker and R. Poshusta, IDEA Internet Differential Equations Activities, NSF Grant No. DUE9555228, April 1996 to April 1998, $93,322. http://www.fred.ifas.ufl.edu/~rhuffaker/huffakervita.pdf

7. IDEA - Internet Differential Equations Activities Function Plot Plots functions of one variable. Up to six functions can be plotted on one set of axes. Function Log Plot Plots functions of one variable using a semilog plot. http://www.math.wsu.edu/idea/JCGTemplates/

8. CMJ Contents: November 1998 IDEA Internet Differential Equations Activities, is a website at Washington State University that serves as a repository for resources and teaching materials in differential http://www.maa.org/pubs/cmj_Nov98.html

The College Mathematics Journal Contents for November 1998 Prelude to Musical Geometry Brian J. McCartin When notes that differ by one or more octaves are considered equivalent, the twelve tones corresponding to the keys in an octave on a piano can be pictured as equally spaced points on a circle, like the numbers on the face of a clock. Exploration of this simple geometrical model yields many insights into the structure of classical tonal music. Rotations or reflections of the clock points representing a set of tones correspond to the musical operations of transposition or inversion of the associated chord. A special feature of the major scales is exposed, indicating a possible reason for the wide appeal of diatonic music (music that employs these seven-tone scales). This introduction to fundamental ideas in the mathematical foundations of music theory will appeal to students of both mathematics and music, arts whose practitioners search for and explore pleasing patterns. A Simple Decision Rule for a Guessing Game Luiz Felipe Martins A contestant receives an initial amount of money, say

9. IDEA: Internet Differential Equations Activities Electronic Proceedings of the Ninth Annual International Conference on Technology in Collegiate Mathematics Reno, Nevada, November 710, 1996 Paper P011 http://archives.math.utk.edu/ICTCM/i/09/P011.html

@import url(style.css); Home Volumes Authors Keywords ... Search Electronic Proceedings of the Ninth Annual International Conference on Technology in Collegiate Mathematics Reno, Nevada, November 7-10, 1996 Paper P011 IDEA: Internet Differential Equations Activities Thomas LoFaro Department of Pure and Applied Mathematics Washington State University Pullman, WA 99164-3113 USA Phone: (509) 335-3124 Fax: (509) 335-1188 lofaro@ removeme. trout.math.wsu.edu Kevin Cooper Department of Pure and Applied Mathematics Washington State University Pullman, WA 99164-3113 USA Phone: (509) 335-3124 Fax: (509) 335-1188 kcooper@ removeme. delta.math.wsu.edu list of all papers by this author Click to access this paper: paper.html ABSTRACT The World Wide Web (WWW) provides educators with a unique opportunity to provide students with information on a wide range of topics. Until recently, the Internet in general and the World Wide Web in particular have simply been tools for the dissemination and collection of information. But now, with the development of the Java programming language, users have the opportunity to interact with remote programs. Thus the WWW is becoming both an information source and an interactive tool. In this poster we will demonstrate one way in which mathematics educational material can be collected, distributed and/or used over the World Wide Web. We have recently been awarded a National Science Foundation grant for the development of IDEA, Internet Differential Equations Activities. IDEA is a program for the development of a ``virtual dynamic lab book'' on the WWW. IDEA is more than a repository for these activities. Activities are being developed by us and contributions are being accepted and solicited from individuals at other institutions. The IDEA site provides users with internal and external tools to mathematically explore the given activity.

10. VII SCHOOL ON ENERGY AND MASS TRANSFER, FREE BOUNDARY PROBLEMS in Mathematics, Physics (Energy and Mass), Chemistry, Engineering professionals and students (and compatible branches), with basic knowledge on differential equations. ACTIVITIES * VII http://www.union-matematica.org.ar/pav/First.pdf

11. About "IDEA: Internet Differential Equations Activities" Interdisciplinary computerbased activities for differential equations a database of computer......Author Thomas LoFaro; College of Sciences, Washington State Univ. (WSU) http://mathforum.org/library/view/6416.html

IDEA: Internet Differential Equations Activities Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.sci.wsu.edu/idea/ Author: Thomas LoFaro; College of Sciences, Washington State Univ. (WSU) Description: Interdisciplinary computer-based activities for differential equations: a database of computer activities illustrating both mathematical concepts and the application of these concepts in a wide variety of disciplines. DynaSys, Java differential equations software that can be used to implement many of the activities, is available for downloading. Current project topics include: basic ecological models; bungee jumping; El Nino; irrigation and conservation; mathematical models of neurons; oscillating chemical reactions; rangeland ecosystems; salmon migration; small mammal dispersion; and discrete dynamics on the real line and in the complex plane. With a list of other Internet DiffEQ links. Levels: College Languages: English Resource Types: Lesson Plans and Activities Problems/Puzzles Internet-Based Projects Link Listings ... Topic Tools Miscellaneous Math Topics: Differential Equations Medicine/Health Animal Biology Plant Biology ... Help http://mathforum.org/

12. Www.math.wm.edu IDEA, Internet Differential Equations Activities 64025201 Elem Diff Eqns Fall 1999 Math 211 Ordinary Differential Equations and Linear Algebra http://www.math.wm.edu/~shij/math.html

Mathematical Links MathSciNet Search (AMS main site): Author Title Review Text Journal Institution Code Series Classification MR Number Reviewer Anywhere MathSciNet Search (Houston site): Author Title Review Text Journal Institution Code Series Classification MR Number Reviewer Anywhere General Information of Mathematics AMS Chinese Mathematical Society Math on the Web (AMS) Young Mathematicians Network SIAM European Mathematical Society Math infomation (PSU) Inter. Fed. of Nonlinear Analysis MAA International Mathematical Union Math Virtual Library (FSU) TeX Users Group NAS Canadian Mathematical Society MathSearch (Sydney U) PhDs.Org NSF Australian Mathematical Society Math Archives (U Tenn) History of Mathematics AAAS London Mathematical Society MathResources (U Florida) Science Citation Index(SCI) NCTM HongKong Mathematical Society Math Forum ... U.S. Universities, Alphabetic Mathematical Institutes in the world Institute for Mathematics and its Applications, Minnesota, USA Courant Institute of Mathematical Science, New York, USA Mathematical Sciences Research Institute, Berkeley, USA Institute for Advanced Study, Princeton, USA ... Institute of Mathematical Sciences, Chennai, India A complete list of Mathematics Department list is available at Math information.

13. ICTCM-9 Abstract POSTER 9P11 IDEA Internet Differential Equations Activities. Thomas LoFaro and Kevin Cooper Department of Pure and Applied Mathematics Washington State University http://archives.math.utk.edu/ICTCM/abs/9-P11.html

Electronic Proceedings of the Ninth Annual Conference on Technology in Collegiate Mathematics POSTER: 9-P11 IDEA: Internet Differential Equations Activities Thomas LoFaro and Kevin Cooper Department of Pure and Applied Mathematics Washington State University Pullman, WA 99164-3113 Phone: (509) 335-3124 Fax: (509) 335-1188 E-mail: lofaro@trout.math.wsu.edu, kcooper@delta.math.wsu.edu ABSTRACT The World Wide Web (WWW) provides educators with a unique opportunity to provide students with information on a wide range of topics. Until recently, the Internet in general and the World Wide Web in particular have simply been tools for the dissemination and collection of information. But now, with the development of the Java programming language, users have the opportunity to interact with remote programs. Thus the WWW is becoming both an information source and an interactive tool. In this poster we will demonstrate one way in which mathematics educational material can be collected, distributed and/or used over the World Wide Web. We have recently been awarded a National Science Foundation grant for the development of IDEA, Internet Differential Equations Activities. IDEA is a program for the development of a ``virtual dynamic lab book'' on the WWW. IDEA is more than a repository for these activities. Activities are being developed by us and contributions are being accepted and solicited from individuals at other institutions. The IDEA site provides users with internal and external tools to mathematically explore the given activity.

14. Diff Eq Links IDEA Internet Differential Equations Activities Langara College Department of Mathematics and Statistics Differential Equations Links Bigchalk on Second Order Equations Most of http://www2.seminolestate.edu/lvosbury/DiffEq_Folder/DiffEq.htm

Seminole State Homepage Calculus I Calculus II Calculus III ... Calculus Homepage Differential Equations Links Here is a terrific set of notes for a differential equations course. You need to be able to solve some ordinary differential equations (ODES) by the method of separation of variables Differential Equations Solver Software Soluciamore free software from WIMS. IDEA Internet Differential Equations Activities Langara College Department of Mathematics and Statistics Differential Equations Links Bigchalk on Second Order Equations Most of the links at Bigchalk are included elsewhere on my site. Take a look at this First Order DE Solution Grapher The Vanderbilt DE Toolkit can solve a variety of differential equations. SOS Math differential equations material The Math Forum @ Drexel Differential Equations Links CODE Consortium for Ordinary Differential Equations Experiments Introduction to Ordinary Differential Equations with Mathematica This is an integrated multimedia approach by Alfred Gray, Michael Mezzino, and Mark Pinsky that uses Mathematica and Quicktime. Stripf's Homepage Matthias Stripf has a very nice first order ODE solver which includes the Euler Method, Improved Euler Method, and a Runge Kutta Method. After you get to his homepage, click

15. Lenape Regional High School District | Curriculum Students will demonstrate the use of integrating factors to solve first order nonseparable differential equations. Activities to meet objective http://www.lrhsd.org/813610627111641747/cwp/view.asp?A=3&Q=285715&C=5516

16. NVTB: Computing, Mathematics & Statistics Links IDEA Internet Differential Equations Activities; MacTutor The History of Mathematics Archive; MATH The Database edited by the European Mathematical Society http://www.bio.vu.nl/nvtb/Mathematics.html

Computing, Mathematics, and Statistics Research Institutes ICMS: International Centre for Mathematical Sciences IMA: Institute for Mathematics and its Applications Isaac Newton Institute for Mathematical Sciences Databases EMIS: The European Mathematical Information Service IDEA: Internet Differential Equations Activities MacTutor: The History of Mathematics Archive MATH: The Database edited by the European Mathematical Society Atlas Mathematical Conferences Abstracts Reports and Courses Online Differential Equations (SOS Mathematics) SOS Mathematics: A site for students and educators MathPages by K. Brown Application Challenges to Computational Geometry , Technical Report TR-521-96, Princeton University, April 1996. Computer Science and Mathematics: Perfect Together by L.E. Thomas From Artificial Evolution to Artificial Life , by T.J. Taylor SRSMs: Stochastic Response Surface Methods for Uncertain Propagation. Application to Environmental and Biological Systems, by S.S. Isukapalli, A. Roy and P.G. Georgopoulos Mathematical Visualizations and Animations , CSC Mathematical Topics Cellular Automata: A Brief Introduction to Cellular Automata by M. Sipper

17. Reviews - Articles On Differential Equations VisualDSolve, Michael Frame, College Mathematics Journal, 285, 1997, 398405. IDEA Internet Differential Equations Activities, Elly Claus-McGahan, College Mathematics Journal http://www.geneseo.edu/~leary/PCMI2001/

Reviews - Articles on Differential Equations Below are short summaries of recent differential equations articles which have appeared in the College Mathematics Journal . Tom Judson, Chris Leary and Mike Breen wrote most of the summaries. Some summaries appeared in ERIC or Math Reviews . Almost all of the articles are listed at http://www.maa.org/pubs/cmj-index/cmj-index.html under the heading: Differential Equations and Dynamical Systems. We envision this as a growing body of reviews and invite you to submit reviews and references to this page. Questions, comments, and future reviews should be sent to Tom Judson Chris Leary , or Mike Breen . This project was begun as a part of the Undergraduate Faculty Program at the 2001 IAS/Park City Mathematics Institute. Topics Index First order equations Higher order linear equations and linear systems Difference equations, discrete dynamical systems, and fractals Nonlinear differential equations ... Author Index First order equations Some Socially Relevant Applications of Elementary Calculus, Colin Clark, College Mathematics Journal The Homicide Problem Revisited, David A. Smith

18. Washington State University: College Of Sciences College of Sciences, a nationallyranked program. The College of Sciences at Washington State University offers more than 80 undergraduate and graduate options and fields of study http://sciences.wsu.edu/

19. Math Forum: Differential Equations Software IDEA Internet Differential Equations Activities Thomas LoFaro; College of Sciences, Washington State Univ. (WSU) Interdisciplinary computer-based activities for http://mathforum.org/differential/diff.software.html

Software for Differential Equations Differential Equations Resources Math by Subject K12 Topics algebra arithmetic calculus discrete math geometry pre-calculus prob/stat Advanced Topics analysis calculus diff. equations game theory discrete math geometry (coll.) geometry (adv.) linear algebra modern algebra num. analysis Software for Differential Equations This list contains some of the best differential equations software. For a more exhaustive list, or to find materials that fit your specific needs, search or browse Software in the Forum's Internet Mathematics Library. education.ti.com - Texas Instruments, Inc. Texas Instruments calculator resources and educational solutions: product information; free program downloads; classroom activities, including both a ... HPC-Netlib: High Performance Math Software - National HPCC Software Exchange (NHSE) The high performance branch of the Netlib mathematical software repository. HPC-Netlib provides information about high performance mathematical ... IDEA: Internet Differential Equations Activities - Thomas LoFaro; College of Sciences, Washington State Univ. (WSU)

20. Student Projects In Differential Equations Internet Differential Equations Activities (IDEA) You might want to browse the differential equations index of the College Mathematics Journal at the MAA. http://online.redwoods.cc.ca.us/instruct/darnold/deproj/index.htm

Student Projects in Differential Equations Instructor: David Arnold There are files on this site in PDF format. You will need to download a free copy of the Acrobat Reader to read them. Click the following icon to obtain a free copy of the Acrobat Reader. It is important that you have the most current version of the Acrobat Reader that your system will allow. The above links will take you to the Adobe site. Your system will be automatically analyzed and you will be informed of the optimal version of the reader for your system. The Scientific Notebook The Scientific Notebook was used to create some files on this site (Spring 1997 and 1998). You can try to use the free Scientific Viewer to view these files that were created with an older version of Scientific Notebook. No guarantees as this is untested. Spring 1997 Romeo and Juliet by Sarah Lewis and Alicia Dominguez Scientific Notebook Version (954K) Adobe Acrobat Version Modeling Molecular Vibrations as Simple Harmonic Motion by Bryan George Scientific Notebook Version Adobe Acrobat Version Van Meergeren Art Forgeries by Chris Ogden Scientific Notebook Version Adobe Acrobat Version The Flight of a Discus by Graeme Kling and Scott Lee Scientific Notebook Version (760K) Adobe Acrobat Version A Simple Microeconomics Model by Randy Cessna Scientific Notebook Version Adobe Acrobat Version An RLC Circuit by Ron Cummings Scientific Notebook Version Adobe Acrobat Version Autocatalytic Modeling by Nate Claasen and Shalise Radford Scientific Notebook Version Adobe Acrobat Version A Rate of Memorization Model by Todd Douglas

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