21. S.O.S. Math - Calculus Explains concepts in detail of limits, convergence of series, finding the derivative from the definition Category Science Math calculus...... Integral; More on the Area Problem; The Fundamental Theorem of calculus;Mean Value Theorems for Integrals. TECHNIQUES OF INTEGRATION http://www.sosmath.com/calculus/calculus.html

S.O.S. Homepage Algebra Trigonometry Differential Equations ... CyberBoard Search our site! S.O.S. Math on CD Sale! Only $19.95. Works for PCs, Macs and Linux. Tell a Friend about S.O.S. Books We Like Math Sites on the WWW S.O.S. Math Awards ... Privacy Concerns? We recommend: SEQUENCES Introduction to Sequences Basic Definitions Limit of a Sequence More on Limit of a Sequence ... Stirling's Formula SERIES Introduction to Series Convergence of Series The Geometric Series Application: A Bouncing Ball ... More Problems on Series LIMIT AND CONTINUITY Introduction and Basic Definitions Some Basic Properties The Pinching or Sandwich Theorem Limits and Infinity ... The Bisection Method DIFFERENTIATION The Definition of the Derivative Using the Definition to Compute the Derivative Techniques of Differentiation Derivatives of Trigonometric Functions ... More Problems on the Derivative INTEGRATION The Area Problem and the Definite Integral Properties of the Definite Integral More on the Area Problem The Fundamental Theorem of Calculus ... Mean Value Theorems for Integrals TECHNIQUES OF INTEGRATION Integration by Parts Integration of Rational Functions Substitution Trigonometric Substitution ... Other Trigonometric Powers Numerical Integration Problems on Techniques of Integration LOCAL BEHAVIOR of FUNCTIONS Taylor Polynomials Indeterminate Forms: Introduction Indeterminate Quotient Forms Other Indeterminate Quotient Forms Improper Integrals Introduction and Basic Definitions Convergence and Divergence of Improper Integrals Tests of Convergence Absolute Convergence of Improper Integrals ... Problems on Improper Integrals Special Functions

22. Exterior Differential Calculus And Symbolic Matrix Algebra @ Mathematica Freeware enables Mathematica to carry out calculations with differential forms. http://www.inp.demokritos.gr/~sbonano/EDC/ExteriorDifferentialCalculus.html

Exterior Differential Calculus and Symbolic Matrix Algebra @ Mathematica Overview This package enables Mathematica to carry out calculations with differential forms. It defines the two basic operations - Exterior Product (Wedge) and Exterior Derivative (d) - in such a way that: (1) they can act on any valid Mathematica expression (2) they allow the use of any symbols to denote differential forms (3) input - output notation is as close as possible to standard usage There are two versions of this package: scalarEDC and matrixEDC . The first can handle scalar differential-form expressions only, while the second can also handle matrix-valued differential forms, i.e., matrices whose components are (scalar) differential forms. Both versions are included in the compressed files below. The matrix package, offering user-controlled application of trace identities and the Cayley-Hamilton theorem, can also be used for symbolic matrix calculations. Version 3.3.5 allows Wedge and d to act on expressions that are series expansions ( SeriesData objects).

23. Mr. Calculus Ask Mr. calculus. Mr. calculus is available to give you hints on your.calculus/mathematics questions. Click Ask Mr. calculus . Hints http://www.geocities.com/Athens/Acropolis/6432/

Ask Mr. Calculus Mr. Calculus is available to give you hints on your calculus/mathematics questions. Click "Ask Mr. Calculus".>Hints for mathematics subjects up to Calculus BC. Click above to go to Mr. Calculus page The 2002 AP Free Response solutions are linked on the Mr. Calculus page. Form B 2002 AP Free Response solutions are also linked on the Mr. Calculus page. Click above and then on the link on the Ask Mr. Calculus page. Alternate link to Mr. Calculus that has very few images on the page for those with slower connections

24. Welcome To The FHS AP Calculus Home Page An informal page with a general description of calculus. Included are an advanced placement practice Category Science Math calculus High School Math...... An Explanation of calculus and its Use What in the world is calculus? Haveyou ever asked this question? Actually, they get it using calculus. http://www.geocities.com/CapeCanaveral/Lab/2619/

Fairfield High School AP Calcucus Home Page Bibliography Survey Difficult Problems Famous Mathematicians ... Sign our Dream Book An Explanation of Calculus and its Use

25. Calculus And Probability Online course by Stefan Waner and Steven R. Costenoble http://people.hofstra.edu/faculty/Stefan_Waner/cprob/cprobintro.html

Calculus Applied to Probability and Statistics 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. Continuous Random Variables and Histograms Exercises 2. Probability Density Functions: Uniform, Exponential, Normal, and Beta Exercises 3. Mean, Median, Variance and Standard Deviation Exercises 4. You're the Expert Creating a Family Trust Back to Main Page Introduction Y ou are a financial planning consultant at a neighborhood bank. A 22-year-old client asks you the following question: "I would like to set up my own insurance policy by opening a trust account into which I can make monthly payments starting now, so that upon my death or my ninety-fifth birthday - whichever comes sooner - the trust can be expected to be worth $500,000. How much should I invest each month?" Assuming a 5% rate of return on investments, how should you respond? To answer the question on the previous page, we must know something about the probability of the client's dying at various ages. There are so many possible ages to consider (particularly since we should consider the possibilities month by month) that it would be easier to treat his age at death as a continuous variable, one that can take on any real value (between 22 and 95 in this case). The mathematics needed to do probability and statistics with continuous variables is calculus. The material on statistics in this resource will be readily accessible to you if you are familar with derivatives and integrals (through Chapter 6 of

26. Anite Calculus - Inter-Company Billing Solutions Offers intercompany billing and retail solutions for competitive OLOs and resellers. Includes support forum and contact details. http://www.anitecalculus.com

Anite Calculus support key markets for inter-company billing solutions -covering interconnect, wholesale and partner settlement, as well as providing cost-effective retail systems for resellers and OLOs, and non-telecoms related solutions in areas such as utilities, logistics and road-user charging. The Calculus solution is one of the industries leading billing systems, ranked second by Chorleywood in their recent Interconnect report with substantial year on year growth. The Calculus customer base is constantly growing and includes industry leaders such as Telia and Telenor as well as newer entrants such as Wavecrest, Advantel and Totem Communications. Anite Calculus benefits from the financial stability of being part of a FTSE listed global IT services business, but remains entirely focused on the development and support of the Calculus product. News: Network Partners Limited Selects Calculus Demo: Request a Calculus Billing Demo Products Partners About Us ... Site Map

27. Advanced Calculus And Analysis MA1002 Lecture notes from the University of Aberdeen for a first course in Analysis. http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

Next: Foreword Up: MA2001 Home Page Contents Index Advanced Calculus and Analysis Ian Craw Foreword These Notes Acknowledgements Contents ... The probability integral e d x The number e is irrational Differentiation of Functions of Several Variables Functions of Several Variables Graphing functions of Several Variables Continuity ... About this document ... Ian Craw 2002-01-07

28. Barendregt, Henk University of Nijmegen Lambda calculus, type theory and formalising mathematical vernacular. http://www.cs.kun.nl/~henk/

homepage Henk Barendregt Chair Foundations of Mathematics and Computer Science Nijmegen University, The Netherlands Research interests Papers on Foundations Lambda calculus Lectures and courses Computer Mathematics Other papers Consciousness problem ... Onderwijs links Address: Contact: henk@cs.kun.nl Nijmegen University PGP: public key Toernooiveld 1 6525 ED Nijmegen The Netherlands Telephone: +31.24.3652642 Fax: +31.24.3652525

29. `The Calculus Of Logic' By George Boole Seminal paper of 1848 available in various formats. http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/

`The Calculus of Logic' by George Boole The Calculus of Logic by George Boole, first published in The Cambridge and Dublin Mathematical Journal , vol. 3 (1848), is available here in the following formats: HTML (with inlined images) PDF LaTeX DVI PostScript (US Letter size) ... PostScript (A4 size) Links: George Boole (1815-1864) The History of Mathematics D.R. Wilkins dwilkins@maths.tcd.ie ... Trinity College, Dublin

30. AP Calculus On The Web AP calculus on the Web This site has been discontinued. Please visit our problemof the week site or the college board site for addtional information. http://www.seresc.k12.nh.us/www/apsum.html

AP Calculus on the Web This site has been discontinued. Please visit our problem of the week site or the college board site for addtional information. AP Problem of the Week Site EMAIL US College Board Site

31. MathPages: Calculus And Differential Equations Kevin Brown's compilation of postings including many topics in differential equations. http://www.mathpages.com/home/icalculu.htm

Calculus and Differential Equations The Laplace Equation and Harmonic Functions Curvature, Intrinsic and Extrinsic Radial Paths in Schwarzschild Spacetime Analytic Functions, The Magnus Effect, and Wings ... Math Pages Main Menu

32. 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.

33. Calculus-Help.com Will Help You Survive Calculus! Features a new practice calculus problem every week with complete solutions. Includes an archive of Category Science Math calculus High School Math......calculusHelp.com offers calculus help to students of all ages, including freemultimedia tutorials and detailed calculus examples with complete solutions. http://www.calculus-help.com/

This site requires that you have the free Flash 6 Player installed in your computer. Your computer may ask if you want to install the Macromedia Flash Player. You must say yes! If you're still having problems, click here and download the Macromedia Flash Player.

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

35. Calculus-Help.com Problem Of The Week Until then, take a shot at any of the problems in the extensive calculusHelp archiveby clicking the year numbers in the blue bar at the right edge of this http://www.calculus-help.com/problem.html

Alphabetical Index by Topic Archived Years of Problems with Solutions: Problem 19: Tabular Derivatives of Inverse Functions Some function f x ) and its derivative f ' x ) are continuous and differentiable for all real numbers, and some of the values for the functions are given in the below table: Based on the information given, answer the following questions: (a) Evaluate (b) At what value c is the graph of discontinuous? To view solutions to this year's problems, click 2002 in the list at left Search for Specific Problem Types in the Archive: Home Problem Fun Calculus Stuff Kelley's Books ... Superbowl of Calculus

36. The Epsilon Calculus Discussion of David Hilbert's development of this type of logical formalism with emphasis on prooftheoretic methods; by Jeremy Avigad and Richard Zach. http://plato.stanford.edu/entries/epsilon-calculus/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z content revised MAY The Epsilon Calculus The epsilon calculus is a logical formalism developed by David Hilbert in the service of his program in the foundations of mathematics. The epsilon operator is a term-forming operator which replaces quantifiers in ordinary predicate logic. Specifically, in the calculus, a term x A denotes some x satisfying A x ), if there is one. In Hilbert's Program, the epsilon terms play the role of ideal elements; the aim of Hilbert's finitistic consistency proofs is to give a procedure which removes such terms from a formal proof. The procedures by which this is to be carried out are based on Hilbert's epsilon substitution method. The epsilon calculus, however, has applications in other contexts as well. The first general application of the epsilon calculus was in Hilbert's epsilon theorems, which in turn provide the basis for the first correct proof of Herbrand's theorem. More recently, variants of the epsilon operator have been applied in linguistics and linguistic philosophy to deal with anaphoric pronouns. Overview The Epsilon Calculus The Epsilon Theorems Herbrand's Theorem ... Epsilon Operators in Linguistics, Philosophy, and Non-classical Logics

37. Springer LINK: Calculus Of Variations Journal with table of contents and article abstracts back to 1995. Full text available to subscribers only.Category Science Math calculus calculus of Variations......The Springer Journal calculus of Variations and Partial Differential Equations publishestopquality contributions in the field of calculus of Variations and http://link.springer.de/link/service/journals/00526/

Would you like to automatically receive every new table of contents of Calculus of Variations ? Then register with our free-of-charge mail service LINK Alert by checking the appropriate box(es) and enter your email address here: Online First Articles only Printed issues only ISSN: 0944 - 2669 (printed version) ISSN: 1432 - 0835 (electronic version)

38. Math.com - World Of Math Online Offers free math lessons and homework help, with an emphasis on geometry, algebra, statistics, and calculus. http://www.math.com/

Home Teacher Parents Glossary ... Email this page to a friend Select Subject Basic Math Everyday Math Pre-Algebra Algebra ... Others Search New Game FREE! Math Super Fighters Play Now! ... Square Roots You only pay shipping and handling. Math.com is giving away FREE* Software to our members. It's FREE to become a member, so sign up and get your FREE software today. Kaplan® Emergency Test Prep Popular Science™ 100 Greatest Inventions Free Email @ Math.com Email Login Password New users sign up Membership Benefits Contact us Partnership Link to us Legal Notices . Please read our Privacy Policy

39. Multivariable Calculus Textbook by George Cain and James Herod. Chapters in PDF. 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

40. Karl's Calculus Tutor: Table Of Contents Table of Contents for Karl's calculus Tutor. Select from topics Limits Karl'scalculus Tutor. Table of Contents. © 1996, 1997, 1998, 1999 http://www.karlscalculus.org/calculus.html

Karl's Calculus Tutor Table of Contents last update 9-Sep-02 IMPORTANT VIEWING NOTE: To properly view this page, open your view port out to at least->>>>here If you can't see the word " here " in the line above, place your mouse-cursor on the right-hand edge of the frame, hold the left mouse button, and drag the right-hand edge of the screen to the right until you can see it. See browser notes for more detials, especially if you don't see the Greek letter, omega (looks like a horseshoe), just below W Table of Contents Please note that Karl's Calculus Tutor is still a work in progress. Expect a new unit to come on line every month or so. Currently being drafted: Midterm Practice Exam Problems And vastly improved! I have completely revamped the Online Calculator . It is now much more user friendly and powerful. Be sure to read the Read me notes before trying any calculations. Please let me know if it helps with doing any of the on line problems (clicking will spawn a separate browser window). You can also try Online Complex Calculator , which can do arithmetic of complex numbers (I have not yet made the same improvements to the complex calculator, but that's coming).

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