1. Interactive Learning In Calculus And Differential Equations With Applications Interactive Learning in Calculus and differential equations with Applications. Click on this picture for a description of how it was generated. http://www.ma.iup.edu/projects/CalcDEMma/Summary.html

Interactive Learning in Calculus and Differential Equations with Applications Click on this picture for a description of how it was generated. The Mathematics Department at Indiana University of Pennsylvania (IUP) established a computerized learning environment, consisting of a classroom with 31 Macintosh Centris 650s and a laboratory with 12 Macintosh LCs, all equipped with Mathematica . Mathematica's notebook feature enables science students to actively learn calculus and differential equations with guided discovery and exploration. The project was funded through a National Science Foundation Instrumentation and Laboratory Improvement grant, number DUE-9351896. IUP's project has several significant attributes. The Mathematics Department is fully implementing this curriculum in all sections of its science calculus sequence and in the two-semester differential equations sequence. Eleven faculty, comprising approximately one third of IUP's mathematics faculty, are coinvestigators. The curricular revisions are being coordinated with the science departments at IUP, who are also integrating active learning and technology in their courses. This collaboration, based on common pedagogical goals and software, will bring more scientific applications into mathematics courses and strengthen the use of mathematics in science courses. All students in the Mathematics Department are involved. Mathematics and Applied Mathematics majors are required to take Differential Equations, and Mathematics Education majors have a unit devoted to the project in the teacher preparation course, Computers and Calculators in Secondary Mathematics.

2. Electronic Journal Of Differential Equations: Monographs Electron. J. Diff. Eqns., Monograph 01, 1994. Hilbert Space Methods for Partial differential equations RE Showalter. I. Elements of Hilbert Space. http://ejde.math.swt.edu/Monographs/01/abstr.html

Electron. J. Diff. Eqns., Monograph 01, 1994. Hilbert Space Methods for Partial Differential Equations R. E. Showalter I. Elements of Hilbert Space. chpt1.dvi chpt1.pdf Linear Algebra, Convergence and Continuity, Completeness, Hilbert Space, Dual Operators, Identifications, Uniform Boundedness, Weak Compactness, Expansion in Eigenfunctions. II. Distributions and Sobolev Spaces chpt2.dvi chpt2.pdf Distributions, Sobolev Spaces, Trace, Sobolev's Lemma and Imbedding, Density and Compactness. III. Boundary Value Problems chpt3.dvi chpt3.pdf Introduction, Forms, Operators and Green's Formula, Abstract Boundary Value Problems, Examples, Coercivity, Elliptic Forms, Regularity, Closed operators, adjoints and eigenfunction expansions. IV. First Order Evolution Equations chpt4.dvi chpt4.pdf Introduction, The Cauchy Problem, Generation of Semigroups, Accretive Operators, two examples, Generation of Groups, a wave equation, Analytic Semigroups, Parabolic Equations. V. Implicit Evolution Equations

3. BU Differential Equations Project The Boston University. Ordinary differential equations Project. Project Directors traditional sophomorelevel course in differential equations. Qualitative, analytic, and numerical http://math.bu.edu/odes

The Boston University Ordinary Differential Equations Project Project Directors: Paul Blanchard Robert L. Devaney Glen R. Hall e-mail: odes@math.bu.edu This project, originally funded by two grants from the National Science Foundation, promotes the use of ideas from the modern theory of dynamical systems in the traditional sophomore-level course in differential equations. Qualitative, analytic, and numerical approaches are stressed throughout the course. We have written a textbook published by Brooks/Cole that supports our approach, and occasionally we conduct workshops at various sites around the country. Please note: Our publisher is Brooks/Cole Publishing Co., a division of Thomson Learning. To contact Brooks/Cole for faculty support, call 800-423-0563 ( ISBN numbers and information about ancillaries Available at this site: Upcoming Workshop Information Boston University Chautauqua Short Course , July 19-21, 2004. Workshop presented by Paul Blanchard and Robert L. Devaney. MAA Minicourse, MathFest, Providence, RI, August 12 and 13, 2004. A four-hour minicourse presented by Paul Blanchard. About the text Table of Contents Faculty Support and Ancillary Material How to obtain instructor's manual, student solutions manual, desk copies, etc.

4. Maple PowerTools - Ordinary Differential Equations PowerTool Complete set of Maple lessons for an undergraduate course in Ordinary differential equations. Includes Runga kutta, IVP, BVP, Boundary value problem Introduction to differential equations in Maple. preview. download http://www.mapleapps.com/powertools/des/des.shtml

Maple MapleNet Maple T.A. Toolboxes ... Contact Us This is a complete set of Maple lessons for an undergraduate course in Ordinary Differential Equations . These 35 lessons were developed by Prof. Douglas Meade of the University of South Carolina. Each lesson develops the theory behind the topic and provides numerous worked examples . All principles and examples are illustrated with Maple diagrams or animations. Download the course for Maple 7 Download the course for Maple 6 Preview or download individual lessons below Part I Preliminaries Unit 1 Introduction to Differential Equations in Maple preview download Part II Analytic Solution of First-Order Differential Equations Unit 2 Separable Equations preview download Unit 3 Application: Exponential and Logistic Growth preview download Unit 4 First-Order Linear Equations preview download Unit 5 Application: Mixing Problems preview download Unit 6 Bifurcations preview download Unit 7 Application: The Spruce Budworm preview download Unit 8 Exact Equations preview download Unit 9 Application: Orthogonal Trajectories preview download Unit 10 Substitution and Change of Variables preview download Unit 11 First-Order Linear Systems preview download Part III Graphical Solution of Initial Value Problems Unit 12 Slope Fields

5. DIFFERENTIAL EQUATIONS AND OSCILLATIONS Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/

DIFFERENTIAL EQUATIONS AND OSCILLATIONS The differential nature of these physical laws in turn may be a reflection of our use of continuous variables like position and probability. (The use of differential equations may also reflect traditionally-trained physicists viewing problems in differential forms). As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. We start with deriving two methods to solve first order differential equations numerically ( Euler and Runge-Kutta ). These methods can be extended to solve second order differential equations which we will do using the harmonic oscillator and the realistic pendulum as examples. First Order Differential Equation Method Numeric, Euler's Algorithm Project Assessment ... First Order Differential Equation Author: Rubin H. Landau rubin@physics.orst.edu WWW Implementation: Hans Kowallik, Manuel Paez kowallih@ucs.orst.edu

6. Mathematics Archives - Topics In Mathematics - Ordinary Differential Equations Basic EXCELskills for calculus and differential equations. ADD. KEYWORDS Sample of linear systems of differential equations. Boston University Differential Equation Project http://archives.math.utk.edu/topics/ordinaryDiffEq.html

Topics in Mathematics Ordinary Differential Equations AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases (in Portuguese) Arizona Mathematical Software Data Files Basic EXCEL-skills for calculus and differential equations ADD. KEYWORDS: Sample worksheets, Sample problems / skills Bifurcations, Equilibria, and Phase Lines Bifurcations of linear systems of differential equations Boston University Differential Equation Project ADD. KEYWORDS: Text, Syllabi A Boundary-value Problem Calculus WWW-server ADD. KEYWORDS: Course Materials, Maple, Matlab, Projects, Applications Class Notes for Math 4348 ADD. KEYWORDS: Class Notes, Differential Operators and Their Adjoints, The Fredholm Alternative Theorems, G(x,t) in the First Alternative, G(x,t) and the Dirac Delta Distribution SOURCE: Jim Herod, Georgia Institute of Technology TECHNOLOGY: Adobe Acrobat Reader, Maple

7. TMR Network Webpage : Home European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics. http://www.maths.ox.ac.uk/ociam/TMR/

8. An Introduction To Differential Equations FirstOrder Homogeneous Linear Diff Eqs. Tutorial Index. First-Order Nonhomogeneous Linear Diff Eqs. Maple Index. A System with Air Resistance. How to Problem Set Index. Let's start with a definition of a differential equation. Then following are some differential equations relating y to one or more of its derivatives. http://www.physics.ohio-state.edu/~physedu/mapletutorial/tutorials/diff_eqs/intr

An Introduction to Differential Equations First-Order Homogeneous Linear Diff Eqs Tutorial Index First-Order Nonhomogeneous Linear Diff Eqs Maple Index ... Problem Set Index Let's start with a definition of a differential equation. A differential equation is an equation that defines a relationship between a function and one or more derivatives of that function. Let y be some function of the independent variable t . Then following are some differential equations relating y to one or more of its derivatives. The equation states that the first derivative of the function y equals the product of and the function y itself. An additional, implicit statement in this differential equation is that the stated relationship holds only for all t for which both the function and its first derivative are defined. Some other differential equations: The typical real world situation that involves modeling with differential equations is one in which a quantity that changes in time, y(t) , is related to the rate at which it changes, , and/or the acceleration of the change, . Usually these relationships can be stated in equations such as those above without knowing the exact function y(t) that satisfies the relationship. To solve a differential equation means to find a

9. S.O.S. Math - Differential Equations Modeling via differential equations First Order differential equations Linear Equations; Separable Equations; Qualitative Technique Slope Fields; http://www.sosmath.com/diffeq/diffeq.html

S.O.S. Homepage Algebra Trigonometry Calculus ... CyberBoard Search our site! S.O.S. Math on CD Sale! Only $19.95. Works for PCs, Macs and Linux. Tell a Friend about S.O.S. Books We Like Math Sites on the WWW S.O.S. Math Awards ... Modeling via Differential Equations First Order Differential Equations Linear Equations Separable Equations Qualitative Technique: Slope Fields Equilibria and the Phase Line ... Euler-Cauchy Equations Series Solutions Introduction Derivatives and Index Shifting First Examples Airy's Equation ... Hermite's Equation Higher Order Linear Equations Introduction and Basic Results Homogeneous Linear Equations with Constant Coefficients Non-Homogeneous Linear Equations Method of Undetermined Coefficients ... Method of Variation of Parameters Laplace Transform Basic Definitions and Results Application to Differential Equations Impulse Functions: Dirac Function Convolution Product ... Application of Fourier Series to Differential Equations APPENDIX Tables Contact us Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA users online during the last hour

10. Chris Athorne's Home Page The site describes research activities of the differential equations group in the mathematics department at the university of Glasgow, UK, and provides some resources of a general nature. http://www.maths.gla.ac.uk/~ca/

This is not a Still Life Perspective Melancholia Resonance

11. Electronic Journal Of Differential Equations Electronic Journal of differential equations The Electronic Journal of differential equations (EJDE) is a collection of research articles "related to differential equations and their applications http://rdre1.inktomi.com/click?u=http://ejde.math.swt.edu/&y=0286EEE2C93E3E2

12. S.O.S. Mathematics - CyberExam SOS Mathematics CyberExam differential equations. in differential equations. The exams will be organized by topics Content of the test, Sample Tests. http://www.sosmath.com/cyberexam/diffeq/diffeq.html

S.O.S. Mathematics - CyberExam Differential Equations This page is a place for students and educators to check out sample tests, midterm exams, final exams, quizzes, projects, etc... in Differential Equations The exams will be organized by topics: Content of the test Sample Tests Higher Order Diff. Eq., Laplace Transform Exam Qualitative Analysis of Systems, Linear Systems, Nonlinear Systems Exam Linear Equations, Separable Equations, Population Dynamics Exam Qualitative Analysis of Systems, Euler's Method, Nonlinear Systems Exam Back to CyberExam S.O.S. MATH: Home Page Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard 6/14/97. Last update: 6/27/97 Contact us Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA users online during the last hour

13. Fortran Codes Ernst Hairer's collection of code for solving DEs. http://www.unige.ch/math/folks/hairer/software.html

Fortran and Matlab Codes If you have any problems with the file transfer, please, contact Ernst.Hairer (at) math.unige.ch We hope the programs will be of use for you and your group. We appreciate, if you communicate us your experiences (bad and good) with our codes. A testset of stiff differential equations with drivers for some of our codes is also at your disposal. Geometric Integrators (Structure-Preserving Algorithms) Symplectic methods for Hamiltonian systems and symmetric methods for reversible problems show an improved qualitative and quantitative behaviour, especially for long-time integrations. For a description see: E. Hairer, C. Lubich and G. Wanner (2002): Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential equations. Springer Series in Comput. Math., vol. 31 as well as the article E. Hairer and M. Hairer (2002): GniCodes - Matlab programs for geometric numerical integration. The tar file gnicodes.tar contains a directory with the following Fortran 77 codes (for unfolding the directory use the command tar xvf gnicodes.tar

14. Differential Equations differential equations Links to some of the best Internet resources for differential equations classroom materials, software, Internet projects, and public forums for discussion. Math Forum http://rdre1.inktomi.com/click?u=http://mathforum.org/differential/differential.

15. Electronic Journal Of Differential Equations Full text available in DVI, PDF, PS and TeX formats. Searchable index. http://ejde.math.swt.edu/

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16. Numerical Mathematics. Features programs that will find solutions for functions, equations, differential equations, regression, approximation, interpolation, linear algebra, integration, maxima and minima, and 3D graphing. Includes free download demonstrations and general explanation of methods used. http://www.numericalmathematics.com/

numerical mathematics free downloads software freeware download free math advanced numerical mathematics mathematical program derivatives equations calculus linear algebra differential equations integration matrix integral interpolation approximation roots maxima minima functions optimization multiple integrals quadrature nonlinear multivariable functions solutions plotting Fourier multivariate functions graphics matrices analysis numerical mathematics free downloads software freeware download free math advanced numerical math mathematical program derivatives equations calculus linear algebra differential equations integration matrix integral interpolation approximation roots maxima minima functions optimization multiple integrals quadrature nonlinear multivariable functions solutions plotting Fourier multivariate functions graphics matrices analysis Numerical Mathematics is the branch of mathematics that develops, analyzes, and applies methods to compute with finite precision numbers. Numerical mathematics is a vast field, but my hope is that I can make a

17. SOS Mathematics Differential Equations SOS Mathematics differential equations College students who have a firm calculus background can use this site to learn about differential equations. Six main sections explain low and high order http://rdre1.inktomi.com/click?u=http://www.sosmath.com/diffeq/diffeq.html&y

18. Yuri Safarov's Home Page King's College of London. Online book covers eigenvalues in partial differential equations. Other publications cover basic, real and Fourier analysis. In pdf format. http://www.mth.kcl.ac.uk/~ysafarov/

Professor Yuri Safarov Department of Mathematics Strand, London WC2R 2LS United Kingdom Telephone: Fax: E-mail: ysafarov@mth.kcl.ac.uk Book Preprints Lectures ... LMS Durham Symposium 1996 (photo) Updated 30 October 2003

19. IDEA, Internet Differential Equations Activities Internet differential equations Activities. What is IDEA? Who is IDEA? Current Projects. Software. Helpful Links. Add A Link. Contact Us. Email. Number of accesses since April 26, 1996 http://www.sci.wsu.edu/idea

IDEA Internet Differential Equations Activities What is IDEA? Who is IDEA? Current Projects Software ... kcooper@math.wsu.edu Number of accesses since April 26, 1996: This project is supported, in part, by the National Science Foundation Opinions expressed are those of the authors, and not necessarily those of the Foundation. This project is supported, in part, by Brooks/Cole Publishing Opinions expressed are those of the authors, and not necessarily those of the Publishers.

20. ScienceDirect - Journal Of Differential Equations - List Of Issues www.sciencedirect.com/webeditions/journal/00220396 More results from www.sciencedirect.com Kluwer Academic Publishers - differential equations http://www.sciencedirect.com/science/journal/00220396

This Feature requires JavaScript Register or Login: Password: Athens Login Journal of Differential Equations Bookmark this page as: http://www.sciencedirect.com/science/journal/00220396 Articles in Press Volume 202 Volume 202, Issue 1 , Pages 1-182 (15 July 2004) Volume 201 Volume 200 Volume 199 Volume 198 ... Volume 101 Alert me when new Journal Issues are available Add this journal to My Favorite Journals Sample Issue Online More Publication Info Information for Authors Feedback ... Elsevier B.V.

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