1. Calculus@Internet Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links. http://www.calculus.net/

2. ALVIRNE HIGH SCHOOL PROBLEM OF THE WEEK SITE Problems presented by Alvirne High School students and guests as they prepare for the Advanced Placement exam in calculus. Alvirne's AP calculus Class invites you to join them in their preparation http://www.seresc.k12.nh.us/www/alvirne.html

Alvirne High School Hudson, N.H. Problems of the Week Alvirne's AP Calculus Class invites you to join them in their preparation for the AP Calculus exam . You are Visitor Number since December 18,1995. Our EMAIL ADDRESS HAS CHANGED. IT IS NOW sray@seresc.net Check Out the Solutions for the 2002 Exam Here Alvirne's Aid to the AP Calculus exam Alvirne's Problem of the Week Updated 3/15/03 SUBMIT a problem along with a detailed solution Guest Problem of the Week Updated 3/15/03 Sample Multiple Choice AP Questions Courtesy of AP CALCULUS Class from Greencastle High School, Greencastle, PA. Updated 3/15/03 Teacher and Student Calculus Resources Awards received by the ALVIRNE AP Calculus Page ARCHIVE of 2002-2003 ALVIRNE problems with detailed solutions. ARCHIVE of 2002-2003 GUEST problems with detailed solutions. ARCHIVE of 2001-2002 ALVIRNE problems with detailed solutions. ARCHIVE of 2001-2002 GUEST problems with detailed solutions. ARCHIVE of 2000-2001 ALVIRNE problems with detailed solutions. ARCHIVE of 2000-2001 GUEST problems with detailed solutions. ARCHIVE of 1999-2000 ALVIRNE problems with detailed solutions.

3. Visual Calculus Short descriptions and examples for limits, derivatives, and integrals. Various plug-ins are needed Category Science Math calculus......Tutorials. Precalculus. Limits and Continuity. Derivatives. Applications ofDifferentiation. Integration. Applications of Integration. Sequences and Series. http://archives.math.utk.edu/visual.calculus/

Tutorials Pre-Calculus Limits and Continuity Derivatives Applications of Differentiation ... Sequences and Series Information What? Who? How? Awards ... Help Page

4. Arnold, Douglas N. - Calculus GraphicsCollection Of Animated Graphical Demonstra Get prices and ordering details about math tutorials and courses available from the Univ of Illinois at UrbanaChampaign and Ohio State Univ. http://www.math.psu.edu/dna/graphics.html

5. Mathematics Archives Calculus Resources On-Line Math Archives calculus Resources On-line. Welcome to the calculus Resources On-linearea of the Mathematics Archives. Other listings of calculus resources. http://archives.math.utk.edu/calculus/crol.html

TEXT-BASED MENU Math Archives - Calculus Resources On-line Welcome to the Calculus Resources On-line area of the Mathematics Archives. This area contains information and links to numerous Internet resources, which could be used for teaching and learning of calculus. If you would like to suggest adding information to this area, or have comments or questions, please contact Przemyslaw Bogacki , the calculus moderator. Here is the contents of the Calculus Resources On-line area: What's page, including announcements of workshops, conferences, etc. Initiatives, Projects and Programs main listing, alphabetized by institution's name (pilot sites are listed under the original developer institution) index by country and state index by platform Articles, Posters, Discussions Software vendors and other platform-specific sites Publisher sites ... Other listings of calculus resources Mathematics Archives software collection contains numerous shareware and freeware programs useful for teaching and learning of calculus. In addition to the "calculus" directories in the Mac and Windows/MS-DOS areas, interesting programs may be found elsewhere (e.g., in the directories "Advanced Calculus", "Graphing Programs", etc.).

6. Finite Mathematics And Applied Calculus Resource Page Offers interactive tutorials, game theory simulator, quizzes and exercises on finite mathematics and applied calculus. http://www.hofstra.edu/~matscw/realworld.html

Finite Mathematics Applied Calculus Resource Page You are being transferred to the new and expanded version of this site at http://www.hofstra.edu/~matscw/RealWorld

7. Calculus On The Web An internet tutoring utility for learning and practicing calculus. COW gives the student or interested Category Science Math calculus......Welcome to calculus on the Web. The COW Library calculus on the Web ispartially supported by the National Science Foundation. A project of http://www.math.temple.edu/~cow/

Welcome to Calculus on the Web The COW Library Click on a button below to open a book General information desk. Contents of the COW library If you wish to log in for a recorded session, click on the Login button. Calculus on the Web is partially supported by the National Science Foundation A project of Gerardo Mendoza and Dan Reich Temple University

8. Karl's Calculus Tutor: Starting Page For 1st Year Calculus Tutorial Covers calculus of limits, continuity and derivatives in some detail. Also covers integrals and methods Category Science Math calculus......A place for a 1st year calculus student to come when he or she needs ahelping hand. Emailhelp available. Karl's calculus Tutor. Home Page. http://www.karlscalculus.org/

Karl's Calculus Tutor Home Page last update 24-Sep-02 Welcome to Karl's Calculus Tutor Greetings to Fall 2002 Semester Students Enter the tutorial (below) or search this website for a calculus topic. You will find coverage of limits, continuity, derivatives, related rates, optimization, L'Hopital's rule, integration, and much more. There are dozens of problems worked out for you step-by-step. If you are having difficulty with a calculus topic, you are encouraged to go to the appropriate section, look at the text, and then follow along with the worked problems to learn how you can do similar problems on your own. There is also remedial coverage of algebra topics, number systems, exponentials, logs, trig functions and trigonometry, if you are in need of review on these topics. Email help on math problems is available, but please read the instructions for emailing me first. ENTER Karl's Calculus Tutor You can participate in a calculus discussion by posting to Karl's Calculus Forum Go to Karl's Calculus Forum You can email me by clicking this button: Use your own emailer Use form For information about Karl's Calculus Tutor to be emailed to you, put your email address in the blank below and click

9. Free Textbook Tensor Calculus And Continuum Mechanics Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF. http://www.math.odu.edu/~jhh/counter2.html

OLD DOMINION UNIVERSITY COLLEGE OF SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS The following counter indicates the number of visitors to this site since April 2001 Click on counter to see statistics John H. Heinbockel Professor Emeritus Department of Mathematics and Statistics Old Dominion University Norfolk, Virginia 23529 I have completed writing what I consider to be an introductory text for applied mathematicians, physicists and engineers. The finished work is titled INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS In Part One I have included introductory topics in tensors, differential geometry and relativity. In Part Two is presented basics from the areas of continuum mechanics (dynamics, elasticity, fluids, electricity, magnetism). The final section covers an introduction to quaternions, multivectors and Clifford algebra. You can purchase the final version of this project by Clicking Here Catalogue number is 01-0535. ISBN number is 1553691334 The free version below represents about 80% of the final version. From this free version you can see what you are getting.

10. Coolmath.com - An Amusement Park Of Mathematics... And More! An amusement park of mathematics. Puzzles and number problems, fractals, geometry, calculus, algebra, online games, online calculators, and links. http://www.coolmath.com/

an amusement park of math ... and more for back to school fun! about us awards media kit press kit ... safe surfing Coolmath.com, Inc.

11. Lambda Calculus Introduction to the lambda calculus for computer scientists. Shows how the calculus can be formalised in Scheme. http://www.mactech.com/articles/mactech/Vol.07/07.05/LambdaCalculus/

About MacTech Home Page Subscribe to MacTech! ... Webmaster Feedback Volume Number: Issue Number: Column Tag: Lisp Listener Lambda Calculus Abe Lincoln Introduction Intro to l-calculus LISP 101 What follows will be a crash course in LISP. or even because a list in any position can have a function position and argument positions of its own, and so on, to arbitrary depth. The next thing we need is a way to abstract out common process patterns into descriptions. This is done via lambda, the anonymous function. For instance, (lambda(x)(+x1)) is a function that takes in an evaluated argument, binds it with x, and then computes the body of the lambda form with the understanding that any occurrence of parameter x in the body will refer to the value of x bound by the lambda form. In this case, the returned result will be the argument plus one, and the argument will not be side effected. To invoke an anonymous function, we simply invoke it like any other function. We invoked sine like this: (sin3). Invoking (lambda(x)(+x1)) on the argument 3 would look like this: To define something we do this: (definefoo3). Thereafter, typing foo at the MacScheme prompt, we find it evaluates to 3.

12. Calculus InfoPlease article defining calculus, differential calculus, and integral calculus. http://kids.infoplease.lycos.com/ce6/sci/A0809858.html

Search For: Lycos Zone Home Family Zone Teachers Zone Encyclopedia calculus calculus, branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit Newton and the German mathematician G. W. Leibniz , working independently, developed the calculus during the 17th cent. The calculus and its basic tools of differentiation and integration serve as the foundation for the larger branch of mathematics known as analysis . The methods of calculus are essential to modern physics and to most other branches of modern science and engineering. Sections in this article: Introduction The Differential Calculus The Integral Calculus Bibliography calculator calculus of variations Awards and Press Citing Fact Monster Lycos Worldwide Lycos Zone Privacy Statement

13. Calculus And Mathematica At UIUC A Mathematicabased calculus course.Category Science Math Software Mathematica...... http://www-cm.math.uiuc.edu/

14. Vrml.calculus.net - Virtual Reality & Calculus Special Notes about Using the VRML Plugin Live3D Part I calculus, VR,and Three Dimensions. Part II Applications via calculus and VR. http://www.calculus.net/vrml/

We Support the .wrz extension for GZIP'ed WRL x-world/x-vrml = wrl, wrz If you use a Macintosh, this is not automatic with Live3D - you need to set it manually. Click here for help on this and other Live3D tricks. by Robert Curtis Bill Davis Lee Wayand Texts in Progress To quicly click through the viewpoints of the world: Click on the world Keystroke: CONTROL-RIGHTARROW Torsion of a curve is usually taught via formulas involving the cross-product of the velocity and acceleration vectors. With a CAS animation, we may watch a point travel along a curve, and view the length of the binormal change, coupled with the twisting of the TNB frame. With a VR animation, we may actually ride along the curve and experience the torsion. Of course the formulas are required for mathematical analysis, but what are the benefits for students in experiencing the changes in torsion? Does this effect the way we teach TNB analysis? How Will Virtual Reality Change Vector Calculus? One goal of this book is to address this question, via exploring many of the topics of three-dimensional calculus using the power of virtual reality a la VRML. Until recently, all of multivariable/vector calculus was taught algebraically. Now many courses utilize computers via computer algebra systems and graphing tools to visually investigate the geometry of curves and surfaces in 3-space. Virtual Reality/VRML holds many possibilities for extending the visual investigation experience. The incorporation of CAS's forced many changes in the curriculum for 3D calculus over the last five years; we ask: how will VR change it in the next five years?

15. Focus On Calculus: Topics in calculus that are important in physics http://omega.albany.edu:8008/mat214dir/Baierlein.html

Focus on Calculus A Physicist's View of Teaching Calculus Ralph Baierlein, Wesleyan University What topics in calculus would physicists like to see their students learn? A lot of topics, of course, but the need to economize in this article forces me to economize in what I might ask of a calculus teacher, who is strapped for time, if not for space. Here are some highlights- some areas of especial concern to the study of physics. Exponentials and logarithms That the derivative of an exponential function is proportional to the function itself is the most important property of those functions. A physicist would like to start with that property, as displayed here: Numerical exploration with base (b=2) yields a coefficient of b X that is less than 1; trying (b = 10) yields a coefficient greater than 1. In between 2 and 10 there ought to be a number that yields 1, and thereby e enters the scene. Then it is a matter of small, relatively easy steps to develop the topic and to finish with ln y as the integral of one-over-x dx. That logarithmic relation always puzzles students, and so it is best to place it last, not at the start, where it might derail the entire development. Expansions and approximations Almost every ``exactly-solved'' problem in physics is based on some initial approximation. To be sure, solutions have become famous as exact solutions to nonlinear differential equations, but those equations themselves are merely approximations to more fundamental equations. Physics students need to become handy with the Taylor expansion and the binomial expansion. Their level of expertise should enable them to apply those expansions to functions like

16. Welcome To The UMR BrainTrax System! Offers assistance in algebra, geometry, trigonomety and calculus. Contains realworld examples, detailed example problems, and interactive features. Internet Explorer 5.0+ on a Windows PC is required. http://braintrax.umr.edu/

17. Earliest Uses Of Symbols Of Calculus Gives background for notations that are commonly used like the integral and delta signs. http://members.aol.com/jeff570/calculus.html

Earliest Uses of Symbols of Calculus Last revision: Oct. 5, 2001 Derivative. The symbols dx, dy, and dx/dy were introduced by Gottfried Wilhelm Leibniz (1646-1716) in a manuscript of November 11, 1675 (Cajori vol. 2, page 204). f'(x) for the first derivative, f''(x) for the second derivative, etc., were introduced by Joseph Louis Lagrange (1736-1813). In 1797 in the symbols f'x and f''x are found; in the Oeuvres, Vol. X, "which purports to be a reprint of the 1806 edition, on p. 15, 17, one finds the corresponding parts given as f(x), f'(x), f''(x), f'''(x) " (Cajori vol. 2, page 207). In 1770 Joseph Louis Lagrange (1736-1813) wrote for in his memoir In 1772 Lagrange wrote u' du dx and du u'dx Nouveaux Memoires de l'Academie royale des Sciences et Belles-Lettres de Berlin. History of Mathematics that Arbogast introduced this symbol, but it seems he does not show this symbol in A History of Mathematical Notations. D was used by Arbogast in the same work, although this symbol had previously been used by Johann Bernoulli (Cajori vol. 2, page 209). Bernoulli used the symbol in a non-operational sense (Maor, page 97). Partial derivative.

18. Calculus.org - THE CALCULUS PAGE . calculus.org THE calculus PAGE. Editorial Board. Sponsors. 2003 calculus Prize.The 2003 $1000 calculus Prize competition for High School Students is now open. http://www.calculus.org/

calculus.org: THE CALCULUS PAGE Editorial Board Sponsors 2003 Calculus Prize The 2003 $1000 Calculus Prize competition for High School Students is now open. For details of how to apply see the 2003 Prize application announcement. Results of the 2002 competition can be found at 2002 Prize Results. Our Resources For The Calculus Student: CALCULUS PROBLEM SETS WITH STEP-BY-STEP SOLUTIONS Calculus problems with possibly the most detailed, step-by-step solutions available anywhere on the internet. Here you will find calculus done the old-fashioned way one problem at a time, with problems ranging in difficulty from easy to challenging. Sample Exams See if you are ready for your exam by taking our collection of sample exams. Excerpts from "How To Ace Calculus" Excerpts from "How to Ace Calculus: The Streetwise Guide" a recently published book with an unorthodox humorous approach to learning calculus. For those with a sense of humor only. Calculus animations in Maple and Calculus animations in Mathematica A series of Quicktime movies, contributed by Deej Heath of Pacific Lutheran University. These illustrate many ideas of calculus, and also include instructions on how to make similar animations yourself using Maple or Mathematica. Calculus Applets A collection of Java applets illustrating calculus concepts by Deej Heath at Pacific Lutheran University.

19. E-Calculus Home Page calculus on the Web The COW Library Click on a button below to open a book General information desk. Contents of the COW library If you wish to log in for a recorded session, click on the Login button. calculus on the Web is http://www.math.uakron.edu/~dpstory/e-calculus.html

Last Update: 4/13/2002 Site Short Cuts Go Directly to Main Pages AcroTeX (Site Overview) The Guestbook (Sign In!) Main Menu (PDF) Algebra Review in Ten Lessons Homepage of D. P. Story WebTrig Go Directly to Calculus Articles Calculus Menu (PDF) Functions (PDF) Limits (PDF) Continuity (PDF) Differentiation (PDF) Integration (PDF) Appl. to Integration (PDF) What's New Get the Latest version of Acrobat Reader 5.0. Click on the Get Acrobat Icon above to go to the download area. e-Calculus is a Calculus I tutorial written in TeX and converted to the Adobe Portable Document Format (PDF). Features include verbose discussion of topics , typeset quality mathematics, user interactivity in the form of multiple choice quizzes, in-line examples and exercises with complete solutions, and pop-up graphics. If you are a first time user, be sure to check out the section entitled Important Components and the section Important Information directly below it before you start e-Calculus e-Calculus is viewed in the PDF format. This requires that you have Acrobat Reader 3.0

20. Perl Contains The Lambda-Calculus Explains why this computer program is well suited to apply to functional application. http://perl.plover.com/lambda/

Perl contains the -calculus -Calculus (pronounced `lambda calculus') is a model of computation invented by Alonzo Church in 1934. It's analogous to Turing machines, but it's both simpler and more practical. Where the Turing machine is something like a model of assembly language, the -calculus is a model of function application. Like Turing machines, it defines a simplified programming language that you can write real programs in. Writing Turing machine programs is like writing in assembly language, but writing -calculus programs is more like writing in a higher-level language, because it has functions. The two legal operations in the -calculus are to construct a function of one argument with a specified body, and to invoke one of these functions on an argument. What can be in the body of the function? Any legal expression, but expressions are limited to variables, function constructions, and function invocations. What can the argument be? It has to be another function; functions are all you have. With this tiny amount of machinery, we can construct a programming language that can express any computation that any other language can express. Unlike most popular programming languages, Perl is powerful enough to express the

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