61. Calculus On The Web Welcome to calculus on the Web. COW has moved to a new host. calculus onthe Web is partially supported by the National Science Foundation. http://fourier.math.temple.edu/cgi-bin/manager

62. Connected Calculus This is an applied calculus tutorial. Some prior calculus knowledge might be helpful.Category Science Math calculus...... The Definite Integral Exotic Multiplication; Accumulation Functions;The Fundamental Theorem of calculus the HoHum Theorem of calculus; http://www.math.montana.edu/frankw/ccp/calculus/topic.htm

63. 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/

Marino Miculan Researcher at the Faculty of Science of the University of Udine Address: Room SN13, Dipartimento di Matematica e Informatica - via delle Scienze, 206 - 33100 Udine - Italy. Phone: (+39)043255.8486, Fax: (+39)043255.8499, AIM: mclmrn Email: miculan@dimi.uniud.it (My PGP public key RESEARCH Mainly: formal methods, type theory, (categorical) logics and semantics of programs and processes but also: distributed operating systems. Publications Member of the Formal Methods and Logics of Computation group. Current projects I am involved in: COMETA DART (IST-2001-33477), TYPES (IST WG 29001) Past projects: TOSCA "Levi" TYPES (ESPRIT WG 21900), TYPES (ESPRIT BRA 6453) CONFERENCES, WORKSHOPS 2003: ACM SIGPLAN (PC,OC). 2002: COMETA kickoff meeting (OC), and GioCoNOpLe (OC). TOSCA'01 Final workshop (OC) PROCEEDINGS, SPECIAL ISSUES 2003: TCS 298(3) Special Issue on FOSSACS'01 (Guest Editor). ENTCS 62 - Proceedings of TOSCA'01 (Editor). LNCS 2030 - Proceedings of FOSSACS'01 (Editor). TEACHING (In Italian) Orario ricevimento studenti : Lun 14-16, Mar 14-16, o su appuntamento.

64. Tutorials - HMC Calculus Tutorial Continuity. Differentiating Special Functions. First Derivative. Fundamental Theoremof calculus. Infinite Series Convergence. Integration by Parts. L'Hopital's Rule. http://www.math.hmc.edu/calculus/tutorials/

first time visitors notes about fonts taking the quizzes math 11 and 12 first time visitors notes about fonts taking the quizzes math 11 and 12 ... Visit the HMC Math Department!

65. MAPLE PROJECTS FOR THE FIRST YEAR OF CALCULUS Maple V.4 worksheets for use with a course at Georgia Tech.Category Science Math Software Maple......Maple explorations for Differential calculus. The following itemsare with Maple. Java applets for Integral calculus. Riemann sums http://www.math.gatech.edu/~bourbaki/MapleProjects.html

Maple explorations for 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

66. Mathematica Track Home Page calculus@internet Mathematica Track Home Page. Mathematica BasicsFaculty Flex Days; Math 1 calculus; Math 4 Differential Equations. http://calculus.sjdccd.cc.ca.us/MMA-h.html

calculus@internet Mathematica Track Home Page Mathematica Basics : Faculty Flex Days Math 1 : Calculus Math 4 : Differential Equations Configuration : If you're not using calculus@internet from our on-campus Mathematics Laboratory, then you may need a little help configuring your home computer and web browser for use with Mathematica ODE Laboratories: A Sabbatical Project by Christopher A. Barker Calculus I Laboratories: A Project by Christopher A. Barker e-mail: barker@sjdccd.cc.ca.us ; WWW: http://barker.sjdccd.cc.ca.us/home.html

67. Mathematics Reference Trigonometry identities and calculus rules for integration and differentiation. http://www.alcyone.com/max/reference/maths/index.html

Mathematics reference Ma Maths A mathematics reference for students and teachers. Conventions. Mathematics reference: Notation A unified mathematical notation used throughout these pages. Ma Trigonometric identities and properties. Mathematics reference: Trigonometric identities Various identities and properties essential in trigonometry. Ma Mathematics reference: Hyperbolic trigonometry identities Various identities essential in hyperbolic trigonometry. Ma Differential and integral calculus. Mathematics reference: Limits Properties of limits. Ma Mathematics reference: Rules for differentiation Essential rules for differentiation. Ma Mathematics reference: Rules for integration Essential rules for integration. Ma Vectors and matrices. Mathematics reference: Rules for vectors Basic properties of vectors. Ma Mathematics reference: Rules for matrices Basic properties of matrices. Ma Navigation. Erik Max Francis TOP Welcome to my homepage. e Reference UP A technical reference. Re Mathematics reference: Notation START A unified mathematical notation used throughout these pages. Ma Feedback CONTACT How to send feedback on these pages to the author.

68. Mathematica Track Home Page calculus@internet Mathematica Track Home Page. Math 1 calculus; Math4 Differential Equations. Configuration If you're not using http://calculus.sjdccd.cc.ca.us/cai-home.html

calculus@internet Mathematica Track Home Page Math 1 : Calculus Math 4 : Differential Equations Configuration : If you're not using calculus@internet from our on-campus Mathematics Laboratory, then you may need a little help configuring your home computer and web browser for use with Mathematica ODE Laboratories: A Sabbatical Project by Christopher A. Barker Calculus I Laboratories: A Project by Christopher A. Barker e-mail: barker@sjdccd.cc.ca.us ; WWW: http://barker.sjdccd.cc.ca.us/home.html

69. Untitled I finally have my own domain! Which you should be taken to within the next 30seconds. Otherwise click the below link http//www.IHatecalculus.com/. http://www.psyber.com/~jacob/math/calculus.html

70. Lambda Calculus Directory An online introduction to the lambda calculus by Lloyd Allison, complete with a web form that will evaluate lambda expressions. http://www.csse.monash.edu.au/~lloyd/tildeFP/Lambda/

Lambda : Directory L. Allison, School of Computer Science and Software Engineering Monash University Australia 3168 LA home FP Lambda Introduction Examples There are lazy and strict versions of the toy lambda-calculus interpreter. They both share the same input syntax and can be used on the same example lambda-calculus programs, although some will not work (loop) with the strict interpreter of course. Introduction: Lambda-calculus and the lazy interpreter Syntax - quick guide Example lambda-calculus programs Lazy Interpreter: Lazy.p : main program lazy.type.P : declarations define values lazy.exec.P : interpreter proper lazy.show.P : output (evaluation is print driven) lazy.eval.p : expressions (by-need evaluation) lazy.apply.P : apply functions lazy.D.P : process declarations lazy.O.P : binary operators lazy.U.P : unary operators lazy.env.P : manipulate environments lazy.mkval.P : form basic value Strict interpreter (shares some of above routines): Strict.p : main program strict.exec.P : interpreter proper strict.show.P

71. Finite Mathematics And Applied Calculus Resource Page Finite Mathematics Applied calculus Resource Page. Visit our Online InteractiveTutorials On-line game theory simulator New! Everything for calculus. http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/

Finite Mathematics Applied Calculus Resource Page Visit our On-line Interactive Tutorials On-line game theory simulator New! Linear Programming Grapher Simplex Method Tool Matrix Algebra Tool Time Value of Money Utility ... Markov system in action Updated! On-Line Pivot and Gauss-Jordan Tool Linear Approximation and Error Estimation On-line math utilities Guide to This Site Everything... Everything for Finite Math Everything for Calculus Everything for Finite Math and Calculus Learning... Chapter Summaries On-Line Tutorials On-Line Text Test Yourself... Chapter Quizzes Chapter Review Exercises Math Tools... On-Line Utilities Your Hofstra Course... Math 9 Math 10 Math 15 Math 19 ... QM 122 Communicate... Bulletin Board Mail the Authors Order a Copy

72. The Yacas Computer Algebra System Acronym for Yet Another Computer Algebra System, an opensource software package. Supports arbitrary precision arithmetic, matrices, and differential and integral calculus. http://www.xs4all.nl/~apinkus/yacas.html

Yacas is a general purpose easy to use Computer Algebra System (a CAS is a program that can be used to do symbolic manipulation of mathematical expressions). It is built on top of its own programming language designed for this purpose, in which new algorithms can easily be implemented. In addition, it comes with extensive documentation on the functionality implemented and methods used to implement them. This entire site (including the documentation) can also be found in the source code distribution

73. Trigonometric Functions Trigonometric Functions and calculus for Liberal Arts and BusinessMajors. Scout Report Selection. A Complete Text Resource on the http://people.hofstra.edu/faculty/Stefan_Waner/trig/trigintro.html

Trigonometric Functions and Calculus for Liberal Arts and Business Majors A Complete Text Resource on the World Wide Web by Stefan Waner and Steven R. Costenoble Table of Contents 1. Modeling with the Sine Function Exercises 2. The Six Trigonometric Functions Exercises 3. Derivatives of Trigonometric Functions Exercises 4. Integrals of Trigonometric Functions Exercises Back to Main Page Introduction T rigonometric functions are often omitted in basic calculus courses for students not majoring in the mathematical sciences. However, the sine and cosine functions are extremely useful in modeling cyclical trends, such as the seasonal variation of demand for certain items, or the cyclical nature of recession and prosperity. The four sections we present here are designed with this in mind; we are concerned less with the geometry of triangles than on applications of the trigonometric functions in modeling real life situations. In the first section, we focus on the use of the sine function to model cyclical phenomena, postponing the introduction of the other trigonometric functions to Section 2. Sections 3 and 4 deal with the calculus of these functions. Of particular interest is the tabular approach to integration by parts that we use to deal with integrals of products of trigonometric and exponential functions. We would welcome comments and suggestions for improving this resource further.

74. The University Of Minnesota Calculus Initiative Up Course Materials The University of Minnesota calculus Initiative.The Geometry Center is assisting in the development of interactive http://www.geom.umn.edu/locate/lab

Up: Course Materials The University of Minnesota Calculus Initiative The Geometry Center is assisting in the development of interactive technology-based modules for the engineering calculus sequence. These modules emphasize geometric concepts of calculus while examining applications of mathematics to the physical and life sciences. Rainbow Lab How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical model of light passing through a water droplet. Numerical Integration Lab The fundamental theorem of calculus tells us that if we know the rate of change of some quantity, then adding up (or integrating) the rate of change over some interval will give the total change in that quantity over the same interval. But often scientists do not know a formula for a function, but can only experimentally know the value of the function at discrete times. Is it possible to "integrate" this discrete data? If so, how? Beams, Bending, and Boundary Conditions Lab

75. CyberCalc Index A detailed differential calculus tutorial. Definitions, graphs and precalculus review. http://www.npac.syr.edu/REU/reu94/williams/calc-index.html

Chapter 1: Review of Needed Topics 1.1 Graphing with Coordinates in the Plane 1.2 Slope and Line Equations 1.3 Functions and Graphs ... 3.6 Implicit Differentiation Michele Williams, Saint Michael's College, mx_williams@smcvax.smcvt.edu, also williams@npac.syr.edu T. J. Willis, twillis@npac.syr.edu Ed Bogucz, bogucz@npac.syr.edu

76. Berline, Chantal University of Paris 7 Lambda calculus. http://www.logique.jussieu.fr/www.berline/

77. A Calculus Of Risk Article by Gary Stix. http://www.ge.infm.it/~ecph/bibliography/stix98.html

A Calculus of Risk Financial engineering can lessen exposure to the perils of running a multibillion-dollar business or a small household. But mathematical models used by this discipline may present a new set of hazards by Gary Stix, staff writer SUBTOPICS: Einstein and Options Physicists on Wall Street Physics Versus Finance Financial Hydrogen Bombs Weather derivatives mark an example of the growing reach of a discipline called financial engineering. This bailiwick of high-speed computing and the intricate mathematical modeling of mathematicians, physicists and economists can help mitigate the vagaries of running a global business. It entails the custom packaging of securities to provide price insurance against a drop in either the yen or the thermometer. The uncertainties of a market crash or the next monsoon can be priced, divided into marketable chunks and sold to someone who is willing to bear that riskin exchange for a fee or a future stream of payments. "The technology will effectively allow you to completely manage the risks of an entire organization," says Robert A. Jarrow, a professor of finance at Cornell University. The engineering of financial instruments has emerged in response to turbulence during recent decades in ever more interconnected world markets: a result of floating exchange rates, oil crises, interest-rate shocks and stock-market collapses. The creative unleashing of new products continues with increasingly sophisticated forms of securities and derivativesoptions, futures and other contracts derived from an underlying asset, financial index, interest or currency exchange rate. New derivatives will help electric utilities protect against price and capacity swings in newly deregulated markets. Credit derivatives let banks pass off to other parties the risk of default on a loan. Securities that would help a business cope with the year 2000 bug have even been contemplated.

78. AP Calculus AP calculus. The Courses calculus AB and calculus BC Slope FieldsComing to calculus AB (effective for the 2004 exams) – NEW; http://www.collegeboard.com/ap/students/calculus/

AP Calculus The Courses: Calculus AB and Calculus BC Slope Fields: Coming to Calculus AB NEW 2002, 2003 Course Description Prerequisites Course Goals Topical Outlines ... 2002 Free-Response Questions - Calculus AB NEW 2002 Form B Free-Response Questions - Calculus AB NEW 2002 Free-Response Questions - Calculus BC NEW 2002 Form B Free-Response Questions - Calculus BC NEW 2001 Free-Response Questions - Calculus AB 2001 Free-Response Questions - Calculus BC 2000 Free-Response Questions Instructions for Section II of the AP Calculus Exams UPDATED Use of Graphing Calculators in AP Calculus Calculator Policy List of Graphing Calculators for the Exams Grade Distributions Additional Resources APCD for Calculus AB NEW Apex Learning's Online Exam Review AP Main Page AP Subject List

79. [math/9906155] Lectures On Pseudo-differential Operators These lecture notes cover a first year graduate course that was given on pseudodifferential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. http://xxx.lanl.gov/abs/math.AP/9906155

Mathematics, abstract math.AP/9906155 Lectures on Pseudo-differential Operators Authors: M. S. Joshi Subj-class: Analysis of PDEs MSC-class: This lecture notes cover a Part III (first year graduate) course that was given at Cambridge University over several years on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. Problems are included. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Links to: arXiv math find abs

80. C4L HomePage The calculus, Concepts, Computers and Cooperative Learning (C 4 L) program isthe result of a National Science Foundation funded research and development http://www.math.purdue.edu/~ccc/

Introduction The Calculus, Concepts, Computers and Cooperative Learning (C L) program is the result of a National Science Foundation funded research and development project begun at Purdue University under the direction of Ed Dubinsky and Keith Schwingendorf. The emphasis of the C L program is a pedagogical approach based on a constructivist theoretical perspective of how mathematics is learned. According to this emerging theory, students need to construct their own understanding of each mathematical concept. Hence, we believe that the primary role of teaching is not to lecture, explain, or otherwise attempt to "transfer" mathematical knowledge, but to create situations for students that will foster their making the necessary mental constructions. A critical aspect of our approach is a decomposition of each mathematical concept into developmental steps following a Piagetian theory of knowledge based on observation of, and interviews with, students as they attempt to learn a concept. Guiding Principles Research into how students learn is primary.

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