1. Electronic Journal Of Differential Equations Monographs A group of free papers on partial differential equations. http://ejde.math.swt.edu/Monographs/01/abstr.html

2. Interactive Learning In Calculus And Differential Equations With Applications A classroom learning environment based on Mathematics notebooks. 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.

3. 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

4. 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 Life 2005 Melancholia Resonance ... Winterreise

5. 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/

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

7. S.O.S. Math - Differential Equations Introduction and First Definitions. Modeling via differential equations. First Order differential equations. Linear Equations. Separable http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. S.O.S. Math Contains tutorials covering algebra, geometry, calculus, differential equations, matrices, and complex variables. Reviews the most important http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Difference Equations To Differential Equations By Dan Sloughter. Published in PS/PDF with applets under GPL. http://math.furman.edu/~dcs/book/

Difference Equations to Differential Equations An introduction to calculus Each section of the text is available in both PostScript and Portable Document Format (PDF) formats. If you require a PostScript viewer, click here for information on obtaining and installing a PostScript viewer. If you require a PDF viewer, click here or here for information on obtaining and installing a PDF viewer. Difference Equations to Differential Equations was written with the help of Tex DVIPS xdvi PDFTeX ... Mathematica A companion multi-variable calculus text, The Calculus of Functions of Several Variables is available here Send e-mail to Dan Sloughter to report any errors. Chapter Section Applet Date PostScript PDF Sequences, limits, and difference equations Calculus: areas and tangents Area of a circle Tangent line for a parabola 154 kb 103 kb Sequences 235 kb 129 kb The sum of a sequence 128 kb 110 kb Difference equations 210 kb 113 kb Nonlinear difference equations Inhibited population growth 291 kb 106 kb Functions and and their properties Functions and their graphs 406 kb 132 kb Trigonometric functions Square wave approximation Sound wave approximation 413 kb 138 kb Limits and the notion of continuity 355 kb 141 kb Continuous functions 188 kb 103 kb Some consequences of continuity 202 kb 105 kb Best affine approximations Best affine approximations Affine approximations 206 kb 111 kb Best affine approximations, derivatives and rates of change

10. Distance Calculus At Suffolk University Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. SpringerLink - Publication www.kluweronline.com/issn/10407294/contents Electronic Journal of Qualitative Theory of differential equationsFree research papers on differential equations. http://www.kluweronline.com/issn/0012-2661/contents

Articles Publications Publishers Home Publication Differential Equations ISSN: 0012-2661 (Paper) 1608-3083 (Online) Subject: Mathematics Issues in bold contain content you are entitled to view. Volume 41 Number 6 / June 2005 Number 5 / May 2005 Number 4 / April 2005 Number 3 / March 2005 ... Request a sample Volume 40 Number 12 / December 2004 Number 11 / November 2004 Number 10 / October 2004 Number 9 / September 2004 ... Number 1 / January 2004 Volume 39 Number 12 / December 2003 Number 11 / November 2003 Number 10 / October 2003 Number 9 / September 2003 ... Number 1 / January 2003 Volume 38 Number 12 / December 2002 Number 11 / November 2002 Number 10 / October 2002 Number 9 / September 2002 ... Number 1 / January 2002 Volume 37 Number 12 / December 2001 Number 11 / November 2001 Number 10 / October 2001 Number 9 / September 2001 ... Number 1 / January 2001 Volume 36 Number 12 / December 2000 First page Previous page Next page Last page Linking Options About This Journal Editorial Board Manuscript Submission Quick Search Search within this publication...

12. 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 whose importance cannot be over-emphasized. The solution of real-life problems quite often can't be achieved without resorting to the methods of numerical mathematics.

13. Electronic Journal Of Differential Equations ELECTRONIC JOURNAL OF differential equations (EJDE) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. ODE Software For MATLAB These are the versions described in the third edition of Ordinary differential equations using MATLAB. For use with version 6.0 of MATLAB. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. BU Differential Equations Project Selected Articles on Teaching differential equations. Teaching differential equations With a Dynamical Systems Viewpoint By Paul Blanchard. 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 Workshops and Talks MAA MathFest, Project NExT Workshops, August 3, 2005 About the text Table of Contents Faculty Support and Ancillary Material How to obtain instructor's manual, student solutions manual, desk copies, etc. Spanish Edition Who are we?

16. PORT Mathematical Subroutine Library Collection of Fortran 77 routines that address many traditional areas of mathematical software, including approximation, ordinary and partial differential equations, linear algebra and eigensystems, optimization, quadrature, root finding, special functions, and Fourier transforms, but excluding statistical calculations. PORT stands for Portable, Outstanding, Reliable, and Tested. http://www.bell-labs.com/project/PORT/

PORT Mathematical Subroutine Library Research Work Of various current and former Bell Labs people, including Jim Blue Phyllis Fox Wayne Fullerton David Gay Eric Grosse Andy Hall Linda Kaufman Wes Petersen Norm Schryer The PORT Mathematical Subroutine Library (third edition) is a collection of Fortran 77 routines that address many traditional areas of mathematical software, including approximation, ordinary and partial differential equations, linear algebra and eigensystems, optimization, quadrature, root finding, special functions, and Fourier transforms, but excluding statistical calculations. PORT stands for Portable, Outstanding, Reliable, and Tested. Available Reference Information PORT 3 Manual in Postscript or PDF format Non-Commercial License Agreement and Available Software PORT Mathematical Subroutine Library (third edition) Fortran 77 source Tue Oct 7 15:12:13 EDT 1997 ehg@lucent.com Privacy statement Agere

17. Electronic Journal Of Qualitative Theory Of Differential Equations Free research papers on differential equations. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

18. About The Book The study of differential equations is a beautiful application of the ideas and Second, many of the most important differential equations are nonlinear, http://math.bu.edu/odes/philosophy.html

From the preface of: Differential Equations, First Edition, by Blanchard, Devaney, Hall. Published by Brooks/Cole Publishing Co., 1998. ISBN 0-534-34550-6. The study of differential equations is a beautiful application of the ideas and techniques of calculus to our everyday lives. Indeed, it could be said that calculus was developed mainly so that the fundamental principles that govern many phenomena could be expressed in the language of differential equations. Unfortunately, it was difficult to convey the beauty of the subject in the traditional first course on differential equations because the number of equations that can be treated by analytic techniques is very limited. Consequently, the course tended to focus on technique rather than on concept. This book is an outgrowth of our opinion that we are now able to effect a radical revision, and we approach our updated course with several goals in mind. First, the traditional emphasis on specialized tricks and techniques for solving differential equations is no longer appropriate given the technology that is readily available. Second, many of the most important differential equations are nonlinear, and numerical and qualitative techniques are more effective than analytic techniques in this setting. Finally, the differential equations course is one of the few undergraduate courses where it is possible to give students a glimpse of the nature of contemporary mathematical research. The Qualitative, Numeric, and Analytic Approaches

19. Real Time Tutor - Ordinary Differential Equations Tool Draw direction fields. Estimate solutions using Euler's and RungeKutter methods. See the algorithms. http://www.realtimetutor.com/ODEForm.aspx

The result is y = For exponents use ^. For example x squared is written x^2. Multiplicaiton use *. For examle 2 times x is written 2*x. Recognized trig functions are cos(x), sin(x), tan(x), arccos(x), arcsin(x), arctan(x), cosh(x), sinh(x), tanh(x). The exponential function base e is written e(x) and the natural logarithm is ln(x). So for example you can enter a function like sin(2*x*y) + e(y+1) - x^3 The result is y = The result is y = Differential Equations Enter a 1st degree differential equation in the form: dy/dx = f(x,y) = For initial value problems enter the following: initial value of x xi = initial value of y yi = the step size h = the value of x for which y will be estimated x = The result is y = For Runge-Kutta 4 with tolerance enter the additional fields: (Do not enter a step size h.) Epsilon = Iterations = For drawing the direction field enter the interval Left end-pt Right end-pt Home Code Systems of Differential Equations Tool Graphing Calculator Check out our new math tees!! Math Tutoring Home

20. BBC NEWS Science/Nature Mathematicians Share Abel Prize Sir Michael Atiyah and Isadore Singer are jointly awarded the Abel Prize their work on differential equations. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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