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 Differential Equations (calculus@internet - Mathematica) - Christopher A. Barker Mathematica Track. 1. Basics (Mathematica Overview; The Environment; Arithmetic; Using Variables; Working with Lists; Vectors & Matrices; Algebraic Operations; Functions; Calculus Operations; Graphics). 2. Differential Equations (Creating Slope Fields; Sketching Graphical Solutions; Using Differential Equation Solvers; Using IVP Solvers; Using Numerical Solvers; Solving Systems with the Computer). 3. Applications of Initial Value Problems (A Suspended Wire; The Simple Pendulum; Population Dynamics; Electric Circuits). 4. Applications of Systems of Differential Equations (Predator-Prey Problems; Epidemiology Problems). 5. Numerical Methods (Euler's Method). more>> Ordinary Differential Equations - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to ordinary differential equations, equations to be solved in which the unknown element is a function rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. There are many important classes of differential equations for which detailed information is available. Applications to engineering and the sciences abound. Numerical solutions are actively studied. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>
All Sites - 64 items found, showing 1 to 50
 3D-XplorMath - Richard Palais 3D-XplorMath creates visualizations of mathematical objects and processes. This tool has built-in algorithms for displaying mathematical objects such as plane curves, space curves, surfaces, conformal maps, polyhedra, ordinary and partial differential ...more>> Abstract and Applied Analysis (AAA) - Athanassios G. Kartsatos, Ed. A mathematical journal devoted to the publication of papers in the fields of Abstract and Applied Analysis, with emphasis on developments in Linear and Nonlinear Functional Analysis, Ordinary and Partial Differential Equations, Optimization Theory and ...more>> alt.math.undergrad - Math Forum An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions. ...more>> Arizona Mathematical Software A collection of approximately 60 educational programs that are designed for use by instructors and students in classroom, laboratory, and home environments. Software falls into four categories: Are You Ready?; Slide Shows; Teacher Aids; Toolkits. It runs ...more>> AUTO WWW Site - Pankaj Kamthan AUTO is software for continuation and bifurcation problems in ordinary differential equations. Bibliography, documentation, download, history, and links to related software. ...more>> Center for Dynamical Systems and Nonlinear Studies - School of Mathematics, Georgia Tech Established in September 1988 to strengthen existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. Specific topics emphasized are stability, nonlinear ...more>> Chalmers Finite Element Center - Chalmers University of Technology, Göteborg, Sweden An interdisciplinary unit at Chalmers University of Technology in the field of computational mathematical modeling and scientific-industrial computing. It is formed by groups in the Departments of Electromagnetics, Mathematics, Solid Mechanics, and Structural ...more>> CODEE Learning Assets Library - Consortium for Ordinary Differential Equations Experiments (CODEE) Electronic versions of the 1992-1997 CODEE newsletters, which published pedagogical articles, lesson plans, computer experiments, and software reviews related to ODEs. The Consortium for Ordinary Differential Equations Experiments (CODEE) seeks to disseminate, ...more>> C*ODE*E - Mathematics Dept., Harvey Mudd College Online archives of the newsletter of the Consortium for Ordinary Differential Equations Experiments, which provided a regular source of ideas, inspiration, and experiments for instructors of ODEs between 1992 and 1997. Search back issues by issue, keyword, ...more>> The Community of Ordinary Differential Equations Educators - Yong, Darryl; and Borrelli, Robert, Principal Investigators The Community of Ordinary Differential Equations Educators (CODEE) seeks to improve the teaching and learning of ordinary differential equations (ODEs) through modeling, computer experiments, and other active learning projects. Freely download expository ...more>> Complex, Technology Based Problems in Calculus - Math Department, Rose-Hulman Institute of Technology Nearly 100 problems with a higher level of complexity than traditional textbook problems and that foster use of a computer algebra system. Problem categories include: anti-differentiation, data fitting, difference equations, differential equations, and ...more>> Computational Physics - Angus MacKinnon; Imperial College, London Lectures on numerical solutions and applications to physics. Includes sections on ordinary differential equations (Types of Differential Equation; Euler Method; Leap-Frog Method; Runge-Kutta Method; Predictor-Corrector Method; Intrinsic Method) and partial ...more>> Computational Science Education Project (CSEP) - U.S. Department of Energy An electronic book for teaching Computational Science and Engineering to students at the advanced undergraduate level and higher. Tutorials for freely available networking and visualization software are also included for high school students and people ...more>> Conferences on the Teaching of Mathematics (CTM) (Mathematics Archives) - Husch, et al., Editors Currently includes presentations and contributed papers from the Fifth Conference on the Teaching of Mathematics held on June 21-22, 1996 in Baltimore, MD and the Sixth Conference on the Teaching of Mathematics held on June 20-21, 1997 in Milwaukee, WI. ...more>> C.T.J. Dodson - Christopher Dodson Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and pre-calculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves, ...more>> DPGraph (Dynamic Photorealistic Graphing) - David Parker Software that allows you to: display multiple simultaneous dynamic photorealistic 3D implicit equalities and inequalities, and intersections of their volumes; spin, slice, and view time-dependent (moving) photorealistic surfaces in real time; and construct ...more>> The Dynamical Systems and Technology Project at Boston University - Robert L. Devaney; Dept. of Mathematics An NSF-sponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process. ...more>> Electronic Journals in Mathematics - Dept. of Mathematics, Univ. at Albany Links to electronic journals for mathematics, and those publishing both electronically and on paper. Examples: The Electronic Journal of Combinatorics; The Electronic Journal of Differential Equations; Electronic Journal of Probability and Electronic ...more>> Exactly How Is Math Used In Technology? - Mathematics Dept., British Columbia Institute of Technology A table of examples of how various areas of mathematics are applied to various areas of technology. Areas of technology include biomedical engineering, food technology, building technology, chemical sciences, civil and structural engineering, graphics ...more>> First Order Ordinary Differential Equations - Scott Hoffner An electronic book covering Ordinary Differential Equations using CAS LiveMath examples. It requires users to have the free LiveMath Viewer or the full LiveMath program to view its examples. Both are available at LiveMath.com. ...more>> Graph Explorer - Alan Cooper, Dept. of Mathematics & Statistics, Langara College A JAVA-based graphing utility. This applet is designed to allow you to zoom in and out smoothly, or to pan across the graphs of functions that you define. Use it to display the graphs of functions that you want to study, either individually or in families ...more>> Home Pages for Developing Courses - Mathematics Throughout the Curriculum, Indiana University Interdisciplinary courses under development and close to finished: Life Sciences (BioMath Problems, Mathematical Foundation for Speech and Hearing Sciences), Business and Economics (Games and Decision Making, Games for Business and Economics, Mathematics ...more>> Images and Mathematics (Mathematics Archives) - University of Tennessee, Knoxville (UTK) A large collection of images based on or related to mathematical principles, many purely mathematical abstractions, such as fractals; others of natural objects whose shape is explained by equations and mathematical models (for example, a drum vibrating). ...more>> Interactive Learning in Calculus and Differential Equations with Applications - Mathematics Dept., Indiana Univ. of Pennsylvania Mathematica notebooks: Finding Areas with the Gauss-Green Formula, Newton's Method and Fractals, Vibrating Drumheads, The Drag Force on a Sphere, and a collection of 26 notebooks from the course Advanced Mathematics for Applications. In order to disseminate ...more>> Interactive Mathematics - Murray Bourne, Ngee Ann Polytechnic, Singapore Flash Tutorials for Pre-Calculus (Algebra, Trigonometry, Logarithms, Complex Number Systems, Graphs); Calculus (Differentiation - The Derivative, its Applications, Deriving Transcendental Functions; Integration, its Applications and Methods), and Advanced ...more>> Introduction to Modeling via Ordinary Differential Equations - Fioravante Patrone PDF file: Introduction to modeling by means of differential equations, with critical remarks. ...more>> Introduction to Ordinary Differential Equations with Mathematica - Gray, Mezzino, Pinsky A number of ODE labs, with a Mathematica package ode.m that allows series solutions of ODEs. Examples, exercises, lab assignments, miscellaneous notebooks, movies, an ODE reference manual, and links to portraits of mathematicians. ...more>> Keep the Traffic Moving! - Dept. of Mathematics, University of Toronto, Canada Be your own traffic engineer and use this computer simulation to find out how far apart to space the light changes for a given scenario. Includes mathematical models and related questions. ...more>> Learning and Teaching Ordinary Differential Equations - Annie and John Selden; Mathematical Association of America Research "illuminating aspects of learning and teaching ordinary differential equations (ODEs) that can inform ongoing curricular innovations": "Making Connections between Representations"; "Numerical Approximations and Graphical Predictions"; "Proofs ...more>> Learning and Teaching Ordinary Differential Equations - Chris Rasmussen and Karen Whitehead; Mathematical Association of America "Advances in technology, together with an increased interest in dynamical systems, are influencing the nature of many first courses in ordinary differential equations (ODEs). In addition, there is an increased emphasis on nonlinear differential equations, ...more>> Linear Methods of Applied Mathematics - Evans M. Harrell II and James V. Herod An online textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Organized into nineteen chapters: Linearity, The geometry of functions, Fourier series, Calculating Fourier ...more>> Martin Flashman - Department of Mathematics, Humboldt State University, Arcata, CA Papers by Martin Flashman: "Solving Calculus Problems without Calculus"; "Dynamic Visualization of Calculus"; "Differential Equations: A Motivating Theme for Sensible Calculus." See also The Sensible Calculus Program, a draft text description in progress; ...more>> Mathematical and Statistical Software - Pittsburgh Supercomputing Center, Carnegie Mellon University BLOCKSOLVE, EISPACK, FISHPACK, IMSL, NRL-3D, ODEPACK, PARPRE, PETSC, PJAC, RANPACK, SCALAPACK. Some packages require industrial or academic users to make special arrangements for usep; information is included in the documentation for the package. Following ...more>> Mathematica Publications - Telos Electronic Library of Science An annotated catalog of publications about Mathematica, with links to fuller descriptions, and publisher and detailed ordering information. ...more>> Mathematics Archives - University of Tennessee, Knoxville (UTK) A comprehensive site for finding mathematics on the Internet; particularly strong in its collection of educational software and links to other sites of interest to mathematicians that provide access to electronic journals, preprint services, grant information, ...more>> Mathematics Journals (AMS) - American Mathematical Society A list of mathematics journals with articles on the Web and a list of Web sites for printed journals, with tables of contents of issues, abstracts of papers, actual papers, information about submissions and subscriptions, etc. See also the Annual Listing ...more>> Mathematics Journals: Electronic and Printed - Mathematics Dept., Penn State University Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and Applied Analysis to the Zentralblatt für Mathematik. See also Penn State's page of preprints. ...more>> Mathematiques Interactives en Java et OpenGL - aetius (Sylvain Deshayes) Several applets, all instructions and description in French, and including source code: SurfaceGL, Surface3D, Zernike, géométrie du triangle, Poncelet, les 6 cercles de Miquel, 4 droites et 4 cercles, systèmes différentiels, ...more>> Math e-Print Archive - Dept. of Mathematics, Florida State University Papers/abstracts to view and download (the files are in gzipped postscript format) by members of the Mathematics Department at Florida State University. Papers are listed in reverse chronological order. ...more>> The MathServ Project - Dept. of Mathematics and Owen Graduate School of Management, Vanderbilt Univ. Software tools and information to facilitate the creation of instructional materials that can be accessed through the World Wide Web and that require the interactive use of mathematical concepts. Examples include a Calculus Toolkit (algebra, functions, ...more>> MathSource - Wolfram Research An extensive electronic library of Mathematica material and notebooks, with over 100,000 pages of immediately accessible Mathematica programs, documents, examples, and more. You may browse the archive or search by author, title, keyword, or item number. ...more>> METRIC: Mathematics Education Technology Research - Imperial College, London, U.K. Information about the M.E.T.R.I.C. program, a continuation of the former Transitional Mathematics Project (TMP), with Mathematica activities for a Dynamics course. Articles, papers, and materials for "mathematical microworlds": ODEs and Dynamics. Reviews ...more>> Numerical Recipes in C: The Art of Scientific Computing - Books On-Line - Press, Teukolsky, Vetterling, Flannery; Cambridge University Press An on-line book available in Adobe Acrobat or PostScript formats that outlines the method of organizing a program, and then provides the methodology and (copyrighted) source code in the C programming language for: linear algebraic equations, interpolation ...more>> Ordinary Differential Equations for Reliability, Maintainability and Availability - Harry A. Watson; Math Forum A public domain textbook on ordinary differential equations, freely available online, by Harry A. Watson, a mathematician with the U.S. Naval Warfare Assessment Station. The entire document is available in DVI and TEX format on the Math Forum server; ...more>> Ordinary Differential Equations Project - Blanchard, Devaney, Hall; Boston University This project included the development of a textbook (publisher Brooks/Cole Publishing Co.) as well as various workshops on teaching differential equations. Instructors manuals and selected articles are available from this site: "Teaching Differential ...more>> Phase Portraits for ODE's and Autonomous Systems - Mansfield, Beukers; Mathematics Dept., Penn State University A Java applet that allows the user to draw the direction field and integral curves of an ODE. You may also plot a single first order equation by letting x'=1. Or better yet, since dy/dx = y'/x', to solve dy/dx = f(x,y), choose any two functions whose ...more>> Project Hermite - Shayne Waldron Because bounding the error in Hermite interpolation in terms of the derivative which kills the interpolating space is of interest in numerical analysis and in the analysis of ordinary differential equations, there is an extensive literature on the subject. ...more>> Query Interface to the Contents of the Mathematics Archives - University of Tennessee, Knoxville (UTK) Search software, abstracts and reviews; teaching materials, etc. by keyword. ...more>> Rich Starting Points for A-Level Core Mathematics - Jonny Griffiths Download PDF task files of 40 open-ended investigative activities for the A Level Pure Mathematics classroom: basic algebra, coordinate geometry, polynomials, curve sketching, uncertainty and inequalities, indices and surds, sequences and series, differentiation, ...more>> Rlab Computer Language - Ian Searle Created for scientific and engineering applications, this high-level language focuses on creating a good experimental environment for matrix math. While not a clone, RLab is described as "MATLAB-like" by its creator, Ian Searle. Access information and ...more>>
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