81. Nrich.maths.org::Mathematics Enrichment::Fractional Calculus I Using the gamma function, a definition of integration and differentiation performed a fractional number of times is presented. http://www.nrich.maths.org/public/viewer.php?obj_id=1365&part=index&refp

82. 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.

83. Luke Ong Merton College, Oxford Categorical logic, game semantics, type theory, lambda calculus, semantics of programming languages, and sequentiality. http://web.comlab.ox.ac.uk/oucl/people/luke.ong.html

Luke Ong Professor of Computer Science Tutorial Fellow in Computation, Merton College Address Oxford University Computing Laboratory Wolfson Building, Parks Road, Oxford, OX1 3QD, England. Telephone Direct: +44 (0)1865 283522 Department: +44 (0)1865 273838 Fax: +44 (0)1865 273839 EMail Luke.Ong@comlab.ox.ac.uk WWW Work-related information (OUCL) Personal Information (Personal page, content is not the responsibility of OUCL) oucl people Updated September 2005 Home Search SiteMap Feedback ... News

84. The Calculus Hater calculus a bane to millions of students. http://www.ihatecalculus.com/

http://www.tetrakatus.com/calculus Please click here to view the non-framed version.

85. 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/

Progress in Partial Differential Equations Edinburgh, 9-13 July 2001 Home page Scientific Programme Speakers' Notes Timetable ... Click here for the report on this meeting in ICMS News 11 The Speakers' Notes section contains notes and some abstracts from speakers at this meeting. Scientific Committee: J. M. Ball (Oxford), A. Grigoryan (Imperial College), S Kuksin (Heriot-Watt) 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. One of the sessions of the meeting, on Tuesday 10 July, will be dedicated to the memory of E. M. Landis and will address qualitative theory of second order elliptic and parabolic PDEs. A memoir of E. M. Landis Session timetable The Workshop is supported by: The Engineering and Physical Sciences Research Council and The European Commission under Framework V REGISTRATIONS CLOSED ON 7 APRIL 2001.

86. Deep Inference And The Calculus Of Structures The calculus of structures is a new proof theoretical formalism. It exploits a topdown symmetry of derivations made possible by deep inference. http://alessio.guglielmi.name/res/cos/index.html

Alessio Guglielmi's Research / Deep Inference and the Calculus of Structures Deep Inference and the Calculus of Structures Quantum Bio-Cryptography for Nano-Security NEW Greg Restall will be teaching the course Proof, Cut Elimination and Normalisation at next ESSLLI 2005 in Edinburgh (August '05). Contents This page contains: Introduction Frequently Asked Questions and Useful Remarks for Referees Papers, Lectures and Theses Classical and Intuitionistic Logic ... Acknowledgements Other pages contain more detailed information: Frequently Asked Questions and Useful Remarks for Referees General The Calculus of Structures Vs. the Sequent Calculus Cut Elimination and the Subformula Property ... Philosophy Papers, Lectures and Theses Classical and Intuitionistic Logic Linear Logic Modal Logic Commutative/Non-commutative Linear Logic ... BV Introduction The calculus of structures , briefly indicated by CoS , is a new proof theoretical formalism, introduced by myself in 1999 and initially developed by members of my group in Dresden since 2000. It exploits a new top-down symmetry of derivations made possible by deep inference . We can present deductive systems in CoS and analyse their properties, as we do in the sequent calculus

87. Multivariable Calculus Lecture notes by Carlos C. Rodriguez, State University of New York at Albany. http://omega.albany.edu:8008/calculus3

Multivariate Calculus With Maple If you were using a Java-enabled browser, you would see an animated scrolling text sign that looks like this: [Preface] [Table of Contents] [Review of Calc1] [Vector Geometry] ... [Found Elsewhere] Last modified: Mon Jan 24 10:57:03 EST 2000

88. Lee Lady: Topics In Calculus Lee Lady Lectures on various top;ics such as applications of integration, convergence of infinite series, curvature, discontinuities for functions of http://www.math.hawaii.edu/~lee/calculus/

Topics in Calculus Professor Lee Lady University of Hawaii A Conceptual Approach to Applications of Integration The Derivatives of the Sine and Cosine Functions ... Review Problems for Differential Equations 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.

89. Bondi K-Calculus A simple derivation of Einstein's theory of relativity which is widely taught to undergraduate physics students. The mathematics required though make this easy for anyone to understand. http://www.geocities.com/ResearchTriangle/System/8956/Bondi/intro.htm

Bondi K-Calculus In simple terms, Bondi k-calculus is a method of deriving the effects of Einstein's theory of special relativity which requires only basic mathematics, and yet gives all the appropriate results. Now before all of the 'scientists' click to the next page and dismiss this as a derivation without substance, let me present a few details. The method was created by Sir Hermann Bondi, who not only wrote numerous papers on the theory of relativity, but was also given a professorship at Cambridge University. The derivation presented here is taught in undergraduate and graduate level physics courses around the world. Unfortunately it is rarely taught in High Schools, where its simplicity would benefit all students struggling with the traditional lorentz transformation derivation of relativity. Lesson 1 As is done in most derivations, let us limit space to a single dimension to spare having to draw four-dimensional figures on a two dimensional screen. In the diagram below, let the vertical axis represent time and the horizontal axis represent space. Then a curve in the diagram represents a point in space which is 'moving'.(As time progresses, the point changes its position). If the curve is a straight line, the point moves at a constant velocity. Let A and B be two such lines, (representing observers or spaceships, or whatever seems appropriate) which cross at some point. Each observer carries a clock and at the instant they meet, both reset their clocks to 0. As soon as they cross, A begins shining a flashlight at B for a period of time T.

90. Topics In Integral And Differential Calculus An explanation and demonstration of the differential formulas, including an applet. 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 Fumi 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

91. Financial Calculus By Martin Baxter and Andrew Rennie (CUP, 1996). Contents, preface, errata, supplementary text, reviews. http://www.financialcalculus.co.uk/

92. THE CALCULUS PAGE PROBLEMS LIST Beginning Integral calculus . Problems using summation notation MultiVariable calculus . Problems on partial derivatives; Problems on the chain rule http://www.math.ucdavis.edu/~kouba/ProblemsList.html

THE CALCULUS PAGE PROBLEMS LIST Problems and Solutions Developed by : D. A. Kouba And brought to you by : eCalculus.org Beginning Differential Calculus : Problems on the limit of a function as x approaches a fixed constant limit of a function as x approaches plus or minus infinity limit of a function using the precise epsilon/delta definition of limit limit of a function using L'Hopital's Rule Problems on the continuity of a function of one variable Problems on the "Squeeze Principle" Problems on the limit definition of the derivative Problems on the chain rule Problems on the product rule Problems on the quotient rule Problems on differentiation of trigonometric functions Problems on differentiation of inverse trigonometric functions Problems on detailed graphing using first and second derivatives Problems on applied maxima and minima Problems on implicit differentiation Problems on related rates Problems on logarithmic differentiation Problems on the differential Problems on the Intermediate-Value Theorem Problems on the Mean Value Theorem Beginning Integral Calculus : Problems using summation notation Problems on the limit definition of a definite integral Problems on u-substitution Problems on integrating exponential functions Problems on integrating trigonometric functions Problems on integration by parts Problems on integrating certain rational functions, resulting in

93. Introduction To Translation Of Grassmann's Ausdehnungslehre 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

NEXT PAGE CONTENTS PREVIOUS PAGE Introduction Hermann Grassmann's 1862 Ausdehnungslehre (literally, ``Theory of Extension'') is one of the great mathematical works of the nineteenth century. In it the foundations of linear and multilinear algebra are laid and much of the superstructure too is constructed. It is regrettable that such a book on such a subject should, from the moment of publication, have been not much read. Indeed, Grassmann's reputation for impenetrability has persisted to this day. Yet one may suspect that a writer who is, in many respects, a century ahead of his time will be somewhat more readable when that century has elapsed than he was to his contemporaries. It is my hope that this translation and commentary will make it easy for today's mathematically educated reader to appreciate Grassmann's presentation of the theory of basis and dimension - it does not differ much from the initial chapter of a modern linear algebra text. The work called simply Die Ausdehnungslehre , though its title page bears the date 1862, actually appeared in the latter half of 1861. It was Grassmann's second attempt to present his theory and was totally different in conception from

94. Calculus Made Easier: A Calculus Tutorial An introduction to the basic concepts of calculus. The derivative and integral are explained. calculus resource links are included. http://www.wtv-zone.com/Angelaruth49/Calculus.html

Calculus Made Easier by Angela Olson Earth Image by NASA Math Graphics by Douglas N.Arnold at http://www.math.psu.edu/dna/graphics.html Index Introduction The Derivative Integration Helpful Links And Resources There are two components to calculus. One is the measure the rate of change at any given point on a curve. This rate of change is called the derivative. The simplest example of a rate of change of a function is the slope of a line. We take this one step further to get the rate of change at a point on a line. The other part of calculus is used to measure the exact area under a curve. This is called the integral. If you wanted to find the area of a semicircle, you could use integration to get the answer. The two parts; the derivative and the integral are inverse functions of each other. That is, they cancel each other out. Just as (x =x, the derivative of (integral (x)) = x and derivative of (integral (f (x)) = f(x). The derivative is a composite function. This means it is a function acting on another funcion. In fact, the function, is the input instead of just x. The derivative, then takes a type of formula and turns it into another simiilar type of formula. So, a polynomial will always yield a polynomial derivative. A trigonomic function will always yield a trigonomic derivative. There are a few exceptions, but this is generally the case. This is also true for the integral. Back To Top Geometrically, the derivative can be perceived as the slope of the tangent line to a curve at a given point. This is roughly how steep the curve is at a given point. We can easily find the rate of change of a line just by finding the slope. But, most formulas are not as simple as a line and they're usually curved. We use the basic formula of a line to get the derivative. If you remember the slope of a line is:

95. How To Ace Calculus : The Streetwise Guide How to Ace calculus The Streetwise Guide. calculus in the Afterlife How to study How not to study for the exam. Taking the Exam http://www.math.ucdavis.edu/~hass/Calculus/HTAC/excerpts/excerpts.html

EXCERPTS FROM: How to Ace Calculus : The Streetwise Guide Colin Adams - Joel Hass - Abigail Thompson Available at most bookstores and online booksellers. Also available at the How to Ace web site. Thanks to WH Freeman for authorizing posting of these excerpts. Exactly Who and What is your Instructor? How to deal with your instructor How to Handle the Exam What will be on the Exam ... About this document ... Joel Hass

96. Untitled Document Mathematica package for doing tensor and exterior calculus on differentiable manifolds. http://baldufa.upc.es/ttc/

97. Electoral Calculus Prediction of the UK election results using scientific analysis of opinion polls and electoral geography. Includes detailed predictions of every seat, http://www.electoralcalculus.co.uk/

Electoral Calculus Electoral Calculus predicts the next British General Election result here using scientific analysis of opinion polls and electoral geography . This website explains where these predictions come from, and shows you how you can make your own predictions at any time. There are also detailed predictions of every seat, including a list of target vulnerable seats , and a complete nationwide list of seat predictions. Also freely available are data files containing the seat-by-seat results of the last five elections. Please click to go to the menu or sitemap

98. 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 ... Z This document uses XHTML/Unicode to format the display. If you think special symbols are not displaying correctly, see our guide Displaying Special Characters last substantive content change FEB The Encyclopedia Now Needs Your Support Please Read How You Can Help Keep the Encyclopedia Free 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

99. Geometric Calculus R & D Home Page language grounded in an integrated Geometric and Inferential calculus. Geometric calculus is a mathematical language for expressing and elaborating 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.

100. 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.

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