41. 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

The Connected Curriculum Project Contents Models, Data, and Curve Fitting Estimation and Limits Sequences and Discrete Dynamical Systems Derivatives and Differention ... Numerical Methods Models, Data, and Curve Fitting A Guide to this Chapter. The Mean and the Median Linear Models Linear Regression Quadratic Models Exponential Models Logistic Models Periodic Models Contents Estimation and Limits A Guide to this Chapter. Introduction When is it Safe to Drink the Water? A Descriptive Look Estimation and Limits Area ... Contents Sequences and Discrete Dynamical Systems A Guide to this Chapter. Quickstart Population Models Exponential Models Exponential Models with Immigration Linear Dynamical Systems ... Contents Derivatives and Differention A Guide to this Chapter. Introduction Curved Mirrors Comparing a Function with its Derivative Computing the Derivative as a Limit Visualizing the Derivative as a Limit Sometimes There Isn't a Tangent Interpretation Powers Linearity of the Derivative Polynomials Derivatives of the Trigonometric Functions Product Rule Quotient Rule Chain Rule Inverse Function Rule Derivatives of the Inverse Trigonometric Functions The Exponential Function Logarithms Implicit Differentiation Related Rates Mean Value Theorem Higher Order Derivatives Partial Derivatives Directional Derivatives The Gradient Contents Graphing A Guide to this Chapter.

42. 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.

43. 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

44. [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

45. 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.

46. Awesome Library - Mathematics Large resource for students of middle schools. Includes algebra, calculus, graphing, and data analysis by subject and standard. http://www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Midd

Awesome Talking Library Examples ... Keystone Family Protection Here: Home Classroom Mathematics > Middle-High School Math Middle-High School Math Sub-Topics Algebra By Subject and Standard Calculus Data Analysis ... Trigonometry Also Try Assessment Information Math Lessons Problem Solving Standards Discussions Ask Dr. Math (Math Forum) Provides organized structure for gaining answers. Award-winning site. Questions for Discussion (Droujkov and Droujkova) Provides questions for students designed to turn a boring arthmetic exercise into an exciting research adventure. 5-00 Games Math Games (FunBrain.com) Provides almost two dozen games to help teens in junior high or high school learn basic math. 7-02 Math Puzzles (Bogomolny) Provides games and puzzles that require math to solve. 9-99 Lesson Plans By Grade Level (Learning Network - TeacherVision.com) Provides dozens of math lesson plans by grade level. 5-01 By Grade Level (PBS) 8-00 By Grade Level and Topic (8-10) (British Columbia Ministry of Education) Provides math outcomes and activities by topic and grade level (8-10). 5-00 By Topic (Thinkquest Team 20991) Provides math tutorials by topic. 5-00

47. Calculus Lecture Notes calculus Lecture Notes. To view the following notes, you must haveAdobe Reader . Mac, DOS Test II. Back to the calculus Main Page. http://www.scar.utoronto.ca/homes/mathlab/calculus/Redbook/

Calculus Lecture Notes To view the following notes, you must have Adobe Reader Mac, DOS, Windows and SUN versions are available for download from Adobe The Acrobat Reader is already available on Wave. Click once on the chapter you would like to view. It may take a while to load. Gold Notes Mathematical Sign Language Induction Polynomials and Rational Functions The Mean Value Theorem for Rational Functions ... Gold Problems Redbook Notes Review Notes Functions Limits and Continuity Techniques of Differentiation ... Differential Equations Old Tests and Exams 1994/95 Term Test I 1994/95 Term Test II 1994/95 Final Exam 1995/96 Term Test I ... 2002/2003 Term Test II Back to the Calculus Main Page

48. Grassmann, Hermann - 1862 Explains the published paper called Ausdehnungslehre, which translates to Theory of Extension . The purpose is to create a universal type of geometric calculus. This development is used in linear and nonlinear algebra, today. http://www.maths.utas.edu.au/People/dfs/Papers/GrassmannTranslation/node3.html

49. Topics In Integral And Differential Calculus An explanation and demonstration of the differential formulas, including an applet.Category Science Math calculus...... http://www.ma.utexas.edu/users/kawasaki/mathPages.dir/

Portuguese Version: Acknowledgements: Prof. William F. Schelter Prof. Maorong Zou Sharewares used in these Pages: Several TCL Scripts written by Prof. W.F.Schelter mhtml by W.F. Schelter. This application produces Mathematics text in GIF format. lundin.SymbolicMath class library by Patrik Lundin. Interpreter for symbolic manipulation of mathematical expressions by Jens- Uwe Dolinsky. GIFs on the FLY Several Java applications written by the author. WebEQ 2.0HTML Mathematical Markup VRL's IMAGING MACHINE Java Packages JDK 1.1.4 Documentation ... Sun Microsystems Lab Comments? Suggestions? Write to: Teresinha Kawasaki Back to: UT Mathematics Department University of Texas at Austin Home This page has been visited times since February 16, 1998. Last modified:Nov 22, 2002 Topics in Integral and Differential Calculus: Functions: Introduction to Functions Polynomial Functions Rational Functions Trigonometric Functions Exercises Combinations of Functions Limits and Continuity: Limit of a Function Some Theorems on Limits Continuity Limits of Trigonometric Functions Differentiation: The Derivative Some Differentiating Trigonometric Functions Differentials; Newton-Raphson Approximations

50. Quantum Logic And Probability Theory How quantum mechanics can be regarded as a nonclassical probabilistic calculus; by Alexander Wilce. http://plato.stanford.edu/entries/qt-quantlog/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z content revised FEB Quantum Logic and Probability Theory At its core, quantum mechanics can be regarded as a non-classical probability calculus resting upon a non-classical propositional logic. More specifically, in quantum mechanics each probability-bearing proposition of the form "the value of physical quantity A lies in the range B " is represented by a projection operator on a Hilbert space H . These form a non-Boolean in particular, non-distributive orthocomplemented lattice. Quantum-mechanical states correspond exactly to probability measures (suitably defined) on this lattice. What are we to make of this? Some have argued that the empirical success of quantum mechanics calls for a revolution in logic itself. This view is associated with the demand for a realistic interpretation of quantum mechanics, i.e., one not grounded in any primitive notion of measurement. Against this, there is a long tradition of interpreting quantum mechanics operationally, that is, as being precisely a theory of measurement. On this latter view, it is not surprising that a "logic" of measurement-outcomes, in a setting where not all measurements are compatible, should prove not to be Boolean. Rather, the mystery is why it should have the particular non-Boolean structure that it does in quantum mechanics. A substantial literature has grown up around the programme of giving some independent motivation for this structure ideally, by deriving it from more primitive and plausible axioms governing a generalized probability theory.

51. Multivariable Calculus Textbook by George Cain and James Herod. Chapters in PDF.Category Science Math Publications Online Texts......Multivariable calculus. Copyright 1996, 1997 by George Cain and James Herod. Allrights reserved. This is a textbook for a course in multivariable calculus. http://www.math.gatech.edu/~cain/notes/calculus.html

Multivariable Calculus George Cain James Herod This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe Title page and Table of Contents Table of Contents Chapter One - Euclidean Three Space 1.1 Introduction 1.2 Coordinates in Three-Space 1.3 Some Geometry 1.4 Some More GeometryLevel Sets Chapter Two - VectorsAlgebra and Geometry 2.1 Vectors 2.2 Scalar Product 2.3 Vector Product Chapter Three - Vector Functions 3.1 Relations and Functions 3.2 Vector Functions 3.3 Limits and Continuity Chapter Four - Derivatives 4.1 Derivatives 4.2 Geometry of Space CurvesCurvature 4.3 Geometry of Space CurvesTorsion 4.4 Motion Chapter Five - More Dimensions 5.1 The space R n 5.2 Functions Chapter Six - Linear Functions and Matrices 6.1 Matrices 6.2 Matrix Algebra Chapter Seven - Continuity, Derivatives, and All That 7.1 Limits and Continuity

52. Index The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces, but the conference is intended to have a broad scope with talks on a variety of topics of current interest in topology. Isle of Skye, Scotland; 24 30 June 2001. http://maths.abdn.ac.uk/~stc2001/

International Conference in Algebraic Topology Isle of Skye - Scotland 24- 30 June 2001 Research Centre in Topology and Related Areas Department of Mathematical Sciences University of Aberdeen An international Algebraic Topology conference is planned for the last week of June 2001 (June 24 - 30, 2001). The conference will take place on the Isle of Skye - a scenic island off the west coast of Scotland. The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces. But the conference is intended to have a broad scope, with talks on a variety of topics of current interest in topology. A London Mathematical Society invited lecture series will take place in Aberdeen the week before the conference (June 18 - 23, 2001). Prof. T. Goodwillie will give a series of ten lectures on calculus of functors. Participants who wish to attend both meetings are encouraged to do so and will enjoy reduced registration fees. The following mathematicians have agreed to attend and give a plenary talk.

53. 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

54. Ricci-Curbastro The mathematician who developed much of tensor calculus before Einstein found a use for it. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Ricci-Curbastro.html

Gregorio Ricci-Curbastro Born: 12 Jan 1853 in Lugo, Papal States (now Italy) Died: 6 Aug 1925 in Bologna, Italy Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Gregorio Ricci-Curbastro 's father was Antonio Ricci-Curbastro and his mother was Livia Vecchi. It was a family of high status known throughout the province of Ravenna. Antonio Ricci-Curbastro, although certainly never achieving anything close to the fame achieved by his son Gregorio, nevertheless was himself well known as an engineer. Neither Gregorio nor his brother Domenico attended school. All their education prior to entering university was carried out at home where their parents employed private tutors. In 1869 Ricci-Curbastro entered the University of Rome with the intention of studying mathematics and philosophy. He was only sixteen years old at the time and, although he had not attended school, he was well prepared academically. Political events, however, conspired to make Rome a somewhat unfortunate choice, although a very natural one given his place of birth. When Ricci-Curbastro began his studies in Rome, although the Kingdom of Italy had been created a few years earlier, Rome was not part of that Kingdom being part of the Papal States in which Ricci was born and brought up. Rome had been attacked by Italian troops in 1867 but France had defended the city and employed its troops against the attack. In 1870, however, Italian troops captured Rome and it became the capital of the Kingdom of Italy. Ricci-Curbastro studied at Rome for one year from 1869 to 1870 and then returned to his parents home where he remained for two years before beginning a second university career.

55. Alan Bain These notes by Alan Bain provide a complete elementary introduction to stochastic integration with respect to continuous semimartingales. http://www.statslab.cam.ac.uk/~afrb2/

Alan Bain E-mail address: afrb2@cam.ac.uk Research Interests I am interested in the application of probability theory techniques to problems arising from communications networks, in particular the Internet. My recent work has focussed on using fluid limits to model the behaviour of various congestion control schemes. Online Bookshelf A number of useful probability textbooks have recently become available online. Meyn, S. and Tweedie, R., Markov Chains and Stochastic Stability Kelly, F., Reversibility and Stochastic Networks Publications Modelling the Performance of In-Call Probing for Multi-Level Adaptive Applications with Peter Key, Microsoft Research MSR Technical Report , MSR-TR-2002-06. Modelling the Performance of Distributed Admission Control for Adaptive Applications with Peter Key, Microsoft Research MAMA Workshop , June 2001 Stochastic Calculus Notes These notes provide a fairly complete elementary introduction to the basics of stochastic integration with respect to continuous semimartingales (not just with respect to a Brownian Motion). They certainly contain all the theory usually needed for basic mathematical finance (Girsanov's theorem etc.). They do lack the martingale representation theorem. They may be downloaded and print out at about eighty pages. If you find any errors, or feel that there are serious omissions, or even just have some suggestions for improvements, please contact me by email and I shall endeavour to improve them! Contents The notes are available in various forms, but I have had reports of people experiencing trouble with the postscript versions. The idea of producing a PDF version was suggested to me by Noel Vaillant.

56. Geometric Calculus R & D Home Page It advocates a universal scientific language grounded in an integratedGeometric and Inferential calculus. Geometric calculus is http://modelingnts.la.asu.edu/

Overview of GC Evolution of GC Intro to GA Found Math Phys ... Links Agenda. This web site is dedicated to perfecting a universal mathematical language for science, extending its applications and promoting it throughout the scientific community. It advocates a universal scientific language grounded in an integrated Geometric and Inferential Calculus. Geometric Calculus is a mathematical language for expressing and elaborating geometric concepts. Spacetime algebra is an application of this language to model physical space and time. It is the core of a universal language for physics, providing invariant formulations of basic equations and a powerful computational engine for deducing their consequences. Inferential Calculus integrates deductive and statistical inference into a coherent system for matching scientific models to empirical data. It provides a unified framework for data analysis, image/signaling processing and hypothesis testing from incomplete data. Thus, it supports the semantic bridge between theoretical constructs and empirical realities. Modeling.

57. Guided Readings In Elementary Quantum Mechanics Contains guided readings in Advanced Physical Chemistry and Theoretical Chemistry, specifically, Quantum Mechanics and Statistical Mechanics, with an emphasis on chemical applications. Notice that Guided Reading means what it says, you can not simply read the material contained in this site, you must answer questions about the material as you proceed. These notes allow persons to review/carry out the algebra and calculus for standard quantum mechanical problems. http://www.sp.uconn.edu/~ch351vc/

Physical Chemistry 351 at the University of Connecticut This site contains readings in Advanced Physical Chemistry and Theoretical Chemistry, specifically, Quantum Mechanics and Statistical Mechanics, with an emphasis on chemical applications. Notice that Guided Reading means what it says, you can not simply read the material contained in this site, you must answer questions about the material as you proceed. Be forewarned that I monitor your reading progress. To use the site, please sign in (below). Note, Guests are Welcome sign in HERE! Students enrolled in this class should not use this page to access the material, but instead should sign in properly, since their work is monitored. Others can choose to log in or not, as they see fit, but I would prefer that you log in and register, so that I can keep track of who is using these materials. Thanks. Here is an interesting primer on quantum mechanics which is worth looking at: Primer These are a dsp orbital (hybrid) shown in CountourPlot3D format and Countour form.; Advanced Physical Chemistry (including Quantum Mechanics and Statistical Mechanics, with pointers to Elementary Physical Chemistry (Main Menu)

58. Calculus Lecture Notes calculus Lecture Notes. To view the following notes, you must have AdobeReader . Mac, DOS, Windows Term Test I. Back to the calculus Main Page. http://www.math.utsc.utoronto.ca/calculus/Redbook/

Calculus Lecture Notes To view the following notes, you must have Adobe Reader Mac, DOS, Windows and SUN versions are available for download from Adobe The Acrobat Reader is already available on Wave. Click once on the chapter you would like to view. It may take a while to load. Gold Notes Mathematical Sign Language Induction Polynomials and Rational Functions The Mean Value Theorem for Rational Functions ... Gold Problems Redbook Notes Review Notes Functions Limits and Continuity Techniques of Differentiation ... Differential Equations Old Tests and Exams 1994/95 Term Test I 1994/95 Term Test II 1994/95 Final Exam 1995/96 Term Test I ... 2002/2003 Term Test II Back to the Calculus Main Page

59. R. K. Shyamasundar's Home Page Tata Institute of Fundamental Research, Mumbai Real-Time and Reactive Programming, Logic Programming, Pi-calculus and Mobile Computing, Parallel Programs, Programming Languages. http://www.tcs.tifr.res.in/~shyam/

R.K. Shyamasundar Picture Address Tata Institute of Fundamental Research Bombay 400 005 India Fax: +91 22 2215 2181 Fax: +91 22 2215 2110 Tel: +91 22 2215 2971 X 2288 e-mail: TCS Group shyam[AT]tcs.tifr.res.in shyam[AT]tifr.res.in shyam[AT]acm.org Secretary, John Barretto (X 2531) TCS john[AT]tcs.tifr.res.in Research Interests and Publications Real-Time and Reactive Programming Logic Programming Pi-Calculus and Mobile Computing Parallel Programs and Scheduling ... Papers on Systems for Ecommerce Computer and Network Security Indian Association for Research in Computing Science IARCS- Charter and Membership Conferences Nineteenth International Conference on Logic Programming ICLP'03 9-13 Dec, 2003 Mumbai (Bombay), INDIA ... ASIAN' 99 Asian Computing Science Conference ISCES FSCTTCS 99 Workshop On Cluster Computing 99 Collaborators Basant Rajan N. Raja M.R.K. Krishna Rao P. Pandya ... Eric Rutten Academies Fellow, Indian Academy of Sciences Fellow, Indian National Science Academy Fellow, Indian National Academy of Engineering Fellow, The National Academy of Sciences, India Fellow, IEEE

60. Spinozistic Calculus SPINOZISTIC calculus. Dedicated to Spinoza's Insights. has moved to www.yesselman.com/calculus.htm.HOME PAGE A Dedication to Spinoza's Insights . http://www.erols.com/jyselman/CALCULUS.htm

SPINOZISTIC CALCULUS Dedicated to Spinoza 's Insights has moved to www.yesselman.com/CALCULUS.htm HOME PAGE " A Dedication to Spinoza's Insights "

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