1. 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 several variables, Green's Theorem, Kepler's Second Law, etc. The series solution of a Differential Equation. Review Problems for Differential Equations. In my opinion, calculus is http://www.math.hawaii.edu/~lee/calculus

Topics in Calculus Professor Lee Lady University of Hawaii A Conceptual Approach to Applications of Integration Max-min Problems ... 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.

2. S.O.S. Math - Calculus Stirling's Formula. series. Introduction to series. Convergence of series The Fundamental Theorem of calculus. Mean Value Theorems for Integrals 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

3. The Math Forum - Math Library - Sequences/Series The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to Sequences and series. Sequence and series (calculus@internet) WebPrimitives, Cambridge, Massachusetts http://mathforum.com/library/topics/sequence_series

Browse and Search the Library Home Math Topics Calculus (SV) : Sequences/Series Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Sequence and Series (calculus@internet) - WebPrimitives, Cambridge, Massachusetts Links to Web pages for resources for sequences and series in calculus. more>> Sequences, Series, Summability - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to sequences and series, the most common examples of limiting processes; convergence criteria and rates of convergence are as important as finding "the answer." Particular series of interest (e.g. Taylor series of known functions) are of interest, as well as general methods for computing sums rapidly, or formally. Series can be estimated with integrals, their stability can be investigated with analysis. Manipulations of series (e.g. multiplying or inverting) are also of importance. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> All Sites - 24 items found, showing 1 to 24

4. Sequences And Series table of values for geometric series. Interactive MathView notebook partial sums of a geometric series. Drill problems on geometric series, nth term test, http://archives.math.utk.edu/visual.calculus/6

Sequences Tutorial on sequences. Using computer programs to plot the graph of a sequence. Also, using the TI-85 graphing calculator to plot sequences. Discussion [ Using Flash Using Java Using computer programs to generate a table of values of a sequence. Series Tutorial on introductory material on series. Interactive Javascript module on generating a table of values for geometric series. Interactive MathView notebook evaluating the partial sums of a geometric series. Drill problems on geometric series, n th term test, and telescoping series. Using computer programs to generate a table of values of partial sums. Using computer programs to plot the graph of the sequence of partial sums. Tutorial on the Integral Test. Error estimates using the Integral Test. Drill problems on using the integral test. Tutorial on Comparison Test for testing convergence of series. Tutorial on the Limit Comparison Test. Drill problems on using the limit comparison test. Tutorial on alternating series. Drill problems on using the alternating series test. Tutorial on the Ratio Test.

5. Calculus Interactive Tutorials And Tests AREA UNDER CONSTRUCTION calculus Interactive Tutorials and Tests Under this project, a suite of online tutorials and tests is being developed for use in conjunction with a calculus sequence. with a calculus sequence. Currently, beta versions of the following modules are available Infinite series Tutorial http://www.math.odu.edu/~bogacki/citat

AREA UNDER CONSTRUCTION Calculus Interactive Tutorials and Tests by Przemyslaw Bogacki Under this project, a suite of on-line tutorials and tests is being developed for use in conjunction with a calculus sequence. Currently, beta versions of the following modules are available: Infinite Series Tutorial Integration Test Any progress made while working on these and other modules will be reported on these pages. The current modules are based on html/JavaScript technology, with some perl code used for reporting purposes. Most of the mathematics has been converted from T E X by T T H Contacting the Author If you have any comments about these modules, please do not hesitate to contact me: Przemyslaw Bogacki , Ph.D. Associate Professor Department of Mathematics and Statistics Old Dominion University Norfolk, VA 23529, USA phone: e-mail: bogacki@math.odu.edu Permission is hereby granted for any noncommercial use of this product by individuals , e.g. students, faculty, etc. Permission for the class use of this product in an academic environment is automatically granted, provided the instructor notifies the author Any other use (including any commercial use) requires an explicit permission from the author

6. [ap-calculus] Re: Motivation For Taylor Series a topic from APCALC ap-calculus Re Motivation for Taylor series post a message on this topic post a message on a new topic 25 Mar 2002 ap-calculus Re Motivation for Taylor series, by MAYO http://mathforum.com/epigone/ap-calc/fruswexkhyr

a topic from AP-CALC [ap-calculus] Re: Motivation for Taylor Series post a message on this topic post a message on a new topic 25 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by MAYO 25 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by LnMcmullin@aol.com 25 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by mark snyder 26 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Jerry Uhl 26 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by P. K. Krivoshein 26 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Paul A. Foerster 26 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Paul A. Foerster 26 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Rex Boggs 26 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Lora Pitman 27 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Jerry Uhl 27 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by Richard Sisley 28 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by 112358etc 28 Mar 2002 [ap-calculus] Re: Motivation for Taylor Series , by teague@ncssm.edu

7. Mr. Calculus Mr. calculus is available to give you hints on your calculus/mathematics questions. Contains links to AP resources, tables for derivatives, logarithms, exponentials, convergence tests for infinite series, and sequence limits. http://www.geocities.com/calculusisnumber1/

Ask Mr. Calculus Mr. Calculus is available to give you hints on your calculus/mathematics questions. Click "Ask Mr. Calculus" The solutions to the 2002 AP Free Response questions. 2002 Form B AP solutions are also posted. Please, if you find errors or typos, let Mr. Calculus know by clicking send to Mr Calculus Link to AP site for the Free Response AB and BC questions The Mr. Calculus page can provide further resources for you to find assistance! Look further down the page or go to the links pages. Some helpful tables Derivatives Convergence Tests Logarithms Exponents Special Technique Simple Sequence Limits ... This link will take you to the College Board site and links to the 2001 AB and BC questions Great link for review or if you don't understand a topic. Requires Flash plug-in. devloped by Lawrence S Husch, University of Tennessee Some links to sites with visual displays, tutorials and solved problems to help you with AP Calculus Want to try a selected problem for practice? When you click anywhere in this section you will be taken to another Mr. Calculus page with pictures and this same content. Go down the new page to this menu and click on the approriate problem. Maximum length of a ladder able to go around a corner in a hallway Largest trapezoid that can be inscribed in a semi-circle Maximum volume of a cone inscribed in a shpere ... Find the maximum volume of a closed can that can be made form given amount of material 2000 AP FREE RESPONSE 2000 AB solutions 2000 BC solutions 2000 AB and BC questions at College board site Link to 1996 AB/BC 1997 AB/BC 1998 AB/BC solutions Look aroundLots of help here!

8. Calculus And Mathematica At UIUC Get prices and ordering details about math tutorials and courses available from the Univ of Illinois at UrbanaChampaign and Ohio State Univ. http://www-cm.math.uiuc.edu/

9. Buy The Best-Selling Book Calculus And Analytic GeometryBuy The Best-Selling Boo Company develops and markets math software for students and teachers from middle school through college. View the algebra and calculus products. http://redirect-west.inktomi.com/click?u=http://www.shop-mcgraw-hill.com/mcgrawh

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