Extractions: In my opinion, calculus is one of the major intellectual achievements of Western civilization - in fact of world civilization. Certainly it has had much more impact in shaping our world today than most of the works commonly included in a Western Civilization course books such as Descartes's Discourse on Method or The Prince by Machiavelli. But at most universities, we have taken this magnificent accomplishment of the human intellect and turned it into a boring course. Sawyer's little book What Is Calculus About? (Another book in the same vein, but more recent, is The Hitchhiker's Guide to Calculus by Michael Spivak.) For many of us mathematicians, calculus is far removed from what we see as interesting and important mathematics. It certainly has no obvious relevance to any of my own research, and if it weren't for the fact that I teach it, I would long ago have forgotten all the calculus I ever learned. But we should remember that calculus is not a mere ``service course.'' For students, calculus is the gateway to further mathematics. And aside from our obligation as faculty to make all our courses interesting, we should remember that if calculus doesn't seem like an interesting and worthwhile subject to students, then they are unlikely to see mathematics as an attractive subject to pursue further.
Q - Equational Programming Language An extensible functional programming language based on the term rewriting calculus. http://www.musikwissenschaft.uni-mainz.de/~ag/q/q.php
Extractions: Q is open source software , which means that the sources of all programs and software modules included in the Q programming system are freely available. Q is also free software which is distributed under the GNU General Public License; see the file COPYING for details. NOTE: You're looking at the new Q website on SourceForge. The old website (Q versions up to 4.5) is still available here Contents: About Q Add-Ons Q Multimedia Library Download ... Links As a practical programming language, Q comes with batteries included : A core set of Q scripts, collectively called the "standard library", implements a lot of useful Q types and functions, such as complex numbers, additional list processing functions, "streams" (a "lazy" variant of lists), container data structures (sets, dictionaries, etc.), the lambda calculus, and even a PostScript interface. Q has its own system module, "clib", which provides access to important system functions, like binary and C-style formatted I/O, Berkeley sockets, process manipulation and regular expression routines. Moreover, the distribution also includes add-on modules for interfacing to various third-party tools and libraries, which makes Q a powerful tool for scientific programming, computer music, multimedia, and other advanced applications. A Q module for the Apache web server is now also available, which enables you to run Q scripts "on the web", too.
School Principals Guide To Student Math Improvement A free tutorial that explains difficult algebra, trigonometry and calculus concepts to beginning middle/high school students in a simplified way that they can understand and use. http://members.tripod.com/learnmath/
Extractions: As a School Principal you are looked upon for leadership to show and direct teachers how to be accountable for high academic standards. Today, any School Principal attempting to meet this difficult goal faces new questions and challenges. To help answer those questions the Educational Research Institute is pleased to bring you a breakthrough Professional Development Mathematics and Science Support Training Program part of the Math 2002' teacher training program, that, for the first time, gives teachers and administrators, an understandable, bare facts, overview of the math knowledge necessary to determine where to take your students to raise the schools academic levels. The use of this breakthrough program is intended to save your school considerable time and money.
Calculus InfoPlease article defining calculus, differential calculus, and integral calculus. http://kids.infoplease.lycos.com/ce6/sci/A0809858.html
Multivariable Calculus Lecture notes by Carlos C. Rodriguez, State University of New York at Albany. http://omega.albany.edu:8008/calculus3
Math History Guide To History of calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's calculus. http://occ.awlonline.com/bookbind/pubbooks/thomas_awl/chapter1/medialib/custom3/
Extractions: Thomas' Calculus This guide to the history of calculus is keyed to the chapters and content of the 10th edition of Thomas' Calculus . This electronic document highlights important events and people in the development and use of calculus. Learn about the history of calculus The history of calculus is rich and full of considerable human effort. By investigating this guide, through the sections containing a timeline, essays on the development of the major elements and topics of the subject, biographies of over 100 contributors and users of the subjects, and a set of over 100 problems (questions keyed to chapters in the book) to investigate in the history of calculus, you can learn more about the subject and how it has been used to help society. These history modules (topic essays and biographies) can be used to supplement a reading assignment or lecture or with the problem exercises can supplement the outside class work. They are excellent sources for written or oral projects. The textbook contains icons that indicate good places where history modules can be used.
On The Pi-Calculus And Linear Logic - Bellin, Scott (ResearchIndex) (CiteSeer) Article by Bellin and Scott showing how classical linear logic may be interpreted in the pi calculus, thus supporting Abramksy's `Proofs as Processes' thesis. http://citeseer.nj.nec.com/bellin92calculus.html
Extractions: Abstract: We detail Abramsky's "proofs-as-processes" paradigm for interpreting classical linear logic (CLL) [13] into a "synchronous" version of the -calculus recently proposed by Milner [27, 28]. The translation is given at the abstract level of proof structures. We give a detailed treatment of information flow in proof-nets and show how to mirror various evaluation strategies for proof normalization. We also give Soundness and Completeness results for the process-calculus translations of various... (Update)
Personal Marco Pedicini Institute for Applied calculus, Rome Theoretical computer science, linear logic, geometry of interaction, optimal reductions. http://www.iac.rm.cnr.it/~marco/html
Progress In PDEs Home Page The main purpose of the meeting is to bring together leading experts in this broad and fastmoving area with the objective of highlighting recent important developments. Particular attention will be paid to developments in PDEs that relate to the sciences and other areas of mathematics such as geometry, the calculus of variations, dynamical systems and stochastic analysis. Edinburgh; 913 July 2001. http://www.ma.hw.ac.uk/icms/current/progpde/
Extractions: The main purpose of the meeting is to bring together leading experts in this broad and fast-moving area with the objective of highlighting recent important developments. Particular attention will be paid to developments in PDEs that relate to the sciences and other areas of mathematics such as geometry, the calculus of variations, dynamical systems and stochastic analysis.
Bob Knows His Calculus Contains pictures, fan fiction, biographies, a voting booth, and news. http://www.angelfire.com/ca3/jensync
Connected Calculus This is an applied calculus tutorial. Some prior calculus knowledge might be helpful. http://www.math.montana.edu/frankw/ccp/calculus/topic.htm
Engineering Mechanics Topics Algebra, Geometry, Trigonometry, Analytical Geometry, calculus, Vectors. Teaching material and tests. Pages created by Mehrdad Negahban and the University of Nebraska. http://em-ntserver.unl.edu/Math/mathweb/mathtoc.html
Extractions: Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526 Department of Engineering Mechanics Phone: (402) 472-2377 W317.4 Nebraska Hall FAX: (402) 472-8292 University of Nebraska-Lincoln E-mail: dgsem@unl.edu Lincoln, NE 68588-0526 Web: http://www.unl.edu/emhome/em.html W317.4 Nebraska Hall
Math 1 Course Information The purpose of Math 1 is to give students a strong preparation for taking calculus. Students completing Math 1 are expected to continue in Math 3A or Math 31A. http://www.math.ucla.edu/undergrad/courses/math1/
Extractions: UCLA Department of Mathematics The purpose of Math 1 is to give students a strong preparation for taking calculus. Students completing Math 1 are expected to continue in Math 3A or Math 31A. Math 1 does not satisfy the quantitative reasoning requirement for the College of Letters an d Science. Math 1 covers material that is ordinarily addressed in the high school curriculum. However, this material is not required for admission to the University of California, and for this reason the course is offered for credit at UCLA. In order to enroll in Math 1, students should have a good background in intermediate algebra. Before enrolling in Math 1, students are urged to take and pass the Mathematics Diagnostic Test at the specified minimum performance level. Students who are unsure of their algebra skills might prepare for Math 1 by taking an intermediate algebra course at their local community college, or by taking the course Intermediate Algebra X400A at Univers ity Extension. Students who obtain the grade of C- or better in Math 1 may enroll directly in Math 3A or Math 31A without taking the Mathematics Diagnostic Test.
Extractions: last update 6-Sep-03 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. You can participate in a calculus discussion by posting to Karl's Calculus Forum Go to Karl's Calculus Forum
Extractions: Differential Calculus The following items are a collection of mathematical explorations developed for Georgia Tech's Math 1507. They are all formatted with Maple V. Release 4. These worksheets are ready to use, without much prior knowledge of Maple. As you read through them, you simply have to press ENTER to perform the calculations, and if you don't know Maple already you will easily begin learning how it works. After reading through a given worksheet, you can generate your own models and alternative scenarios by cutting and pasting Maple code. In each worksheet a model is introduced with a description of the content and of the level of presentation. These may be down-loaded onto your computer as text files, opened with Maple, and saved as active worksheets. Alternately, you may configure your Web browser to launch Maple as you choose a file. An Introduction to Maple : A modest worksheet to get started, by showing how to define and plot functions. Drawing Graphs : One of the primary uses of the computer will be to give visualization. This worksheet gives syntax for drawing graphs. The
Extractions: Abstract: this paper to an interaction mechanism inspired to the computational behaviour of proof nets, a deduction system of linear logic [7]. In this setting the conclusion of a derivation is the type of the corresponding proof net. The computational mechanism is cut elimination that can only occur between terms with the same type. The relationship between proof nets and processes have already been studied in the literature. Abramsky interprets proof as processes and consider a cut-elimination as... (Update)
Présentation De Laurent Regnier University of Marseilles Linear logic, lambda calculus and abstract machine interpretations. http://iml.univ-mrs.fr/~regnier/
Graphing Software For Data, Algebra, Calculus And Trigonometry And Solutions Of Enter first and second order nonlinear ordinary differential in analytical form. The program will generate a numerical solution to the equations and graph multiple curves on a single graph. Can also be used for algebra and calculus formulas. Includes illustrations and free demo. http://www.hanleyinnovations.com/sgstandard.html
Extractions: Dr. Hanley's Science Graphs tm is an easy to use software package for graphing equations and data using your PC. The new version of Science Graphs can be used to generate numerical solutions of first and second order non-linear ordinary differential equations. This feature is Ideal for checking your analytical solutions against Science Graph's Numerical Answers. However, it can be used to solve problems that are too difficult to obtain by hand calculations. The software is useful for algebra trigonometry calculus , physics, differential equations and engineering . Science Graphs can also be used to graph up to 1,000 x-y data points from an ASCII file.
Marino Miculan University of Udine Semantics of programming languages, formal verification of process/program properties, logical frameworks based on typed lambda-calculus. http://www.dimi.uniud.it/~miculan/
