1. Karl's Calculus Tutor: Starting Page For 1st Year Calculus Tutorial Introductory information on counting numbers, integers, limits, and derivatives. http://www.karlscalculus.org/

Karl's Calculus Tutor Home Page last update 1-Sep-2005 Donate to the Hurricane Katrina relief effort. Want to turn the tables on spammers? It's free. Welcome to Karl's Calculus Tutor Greetings to Fall 2005 Semester Students Section Index 1) Number Systems 2) Limits 3) Continuity 4) Derivatives ... Special Interest Pages Enter the tutorial (below) or search this website for a calculus topic. You will find coverage of limits, continuity, derivatives, related rates, optimization, L'Hopital's rule, integration, and much more. There are dozens of problems worked out for you step-by-step. If you are having difficulty with a calculus topic, you are encouraged to go to the appropriate section, look at the text, and then follow along with the worked problems to learn how you can do similar problems on your own. There is also remedial coverage of algebra topics, number systems, exponentials, logs, trig functions and trigonometry, if you are in need of review on these topics. Email help on math problems is available, but please read the instructions for emailing me first.

2. Calculus 1.0 - Software For Windows By Ashay Dharwadker Software for Windows by Ashay Dharwadker. Compute and graph functions, derivatives and integrals. Free limited evaluation version. http://www.geocities.com/dharwadker/calculus.html

Research Profile Teaching Software ... Get in touch... Calculus 1.0 New! 2005 Edition Software for Windows 95/98/2000/Me/NT/XP Try Calculus 1.0: The free trial version has over 200 examples that demonstrate all the features in detail. However, you cannot input new functions or modify the preset parameters. If you like the software and find it useful, buy Calculus 1.0. Buy Calculus 1.0: Buy Calculus 1.0 for $4.95 USD (or equivalent international currency) on a secure PayPal hosted payment page. The registered version of Calculus 1.0 (with a single user license) will be delivered to you by email as soon as PayPal processes your payment. Features: Calculus 1.0 provides you with all the computational tools and graphical techniques of single variable calculus: Graph a function y=f(x). Evaluate a function y=f(x) at x=c and estimate limits as x c or x Graph the first derivative f'(x). Graph the second derivative f''(x). Draw the tangent line and calculate the derivative value f'(c) at x=c. Graph the indefinite integral F(x) such that F'(x)=f(x), according to the fundamental theorem of calculus. Calculate the definite integral between x=a and x=b and draw the corresponding area under the curve.

3. Visual Calculus Short descriptions and examples for limits, derivatives, and integrals. Various plugins are needed to view some of the pages. http://archives.math.utk.edu/visual.calculus/

Tutorials Pre-Calculus Limits and Continuity Derivatives Applications of Differentiation ... Sequences and Series Information What? Who? How? Awards ... Help Page

4. Calculus History The main ideas of calculus developed over a very long period of time. Read about some of the mathematicians who contributed to this field of mathematics. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/The_rise_of_calculus.html

A history of the calculus Analysis index History Topics Index Version for printing The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians. To the Greeks numbers were ratios of integers so the number line had "holes" in it. They got round this difficulty by using lengths, areas and volumes in addition to numbers for, to the Greeks, not all lengths were numbers. Zeno of Elea , about 450 BC, gave a number of problems which were based on the infinite. For example he argued that motion is impossible:- If a body moves from A to B then before it reaches B it passes through the mid-point, say B of AB. Now to move to B it must first reach the mid-point B of AB . Continue this argument to see that A must move through an infinite number of distances and so cannot move. Leucippus Democritus and Antiphon all made contributions to the Greek method of exhaustion which was put on a scientific basis by Eudoxus about 370 BC. The method of exhaustion is so called because one thinks of the areas measured expanding so that they account for more and more of the required area.

5. Calculus On The Web An internet tutoring utility for learning and practicing calculus. COW gives the student or interested user the opportunity to learn and practice problems. http://www.math.temple.edu/~cow/

Welcome to Calculus on the Web The COW Library Click on a button below to open a book General information desk. Contents of the COW library If you wish to log in for a recorded session, click on the Login button. Login help. Calculus on the Web is partially supported by the National Science Foundation COW is a project of Gerardo Mendoza and Dan Reich Temple University

6. 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

7. Free Textbook Tensor Calculus And Continuum Mechanics Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF. http://www.math.odu.edu/~jhh/counter2.html

OLD DOMINION UNIVERSITY COLLEGE OF SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS John H. Heinbockel Professor Emeritus Department of Mathematics and Statistics Old Dominion University Norfolk, Virginia 23529 I have completed writing what I consider to be an introductory text for applied mathematicians, physicists and engineers. The finished work is titled INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS In Part One I have included introductory topics in tensors, differential geometry and relativity. Part Two presents basics from the areas of continuum mechanics (dynamics, elasticity, fluids, electricity, magnetism). The final section covers an introduction to quaternions, multvectors and Clifford algebra. You can purchase the final version of this project by Clicking Here Catalogue number is 01-0535. The free version below represents about 80% of the final version. From this free version you can see what you are getting. What the final version has that the free version does not have: 1. Additional worked examples.

8. 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).

9. 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

10. Distance Calculus At Suffolk University Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links. http://www.calculus.net/

Questions? E-Mail : info@distancecalculus.com or AIM/Chat : DistanceCalculus or Call Us @ [USA] 617.497.2096 Home Main Calculus Sequence Liberal Arts Calculus Introduction to Computer Science - ... How Quickly Can I Finish The Course? Celebrating Our 8th Year of Teaching On-Line Suffolk University is a fully-accredited university -one of the "big 25" universities in Boston, Massachusetts- Internationally known for its Law and Management Schools All Distance Calculus Courses are offered through the Computer Science Department at Suffolk University. DISTANCE CALCULUS COURSE OFFERINGS Engineering/Science Calculus Courses (each available in 3 or 4 Semester Units) Liberal Arts General Education Courses Introduction to Computer Science [using PHP] (3 Semester Units each) Are You Trying To Learn Calculus In A Lecture Hall? Are You Bored? Frustrated? Can't Fit Calculus Into Your Work/Class/Life Schedule? Need to Try Calculus a Different Way? The Usual: Calculus in a Lecture Hall a big classroom, sometimes with hundreds of other students classtime that may not fit into your work or course schedule writing down notes like a stenographer noisy lecture halls make it difficult to concentrate long, boring homework assignments

11. Distance Calculus At Suffolk University Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Mathematics Archives Calculus Resources On-Line Welcome to the calculus Resources Online area of the Mathematics Archives. Indiana University of Pennsylvania, Interactive Learning in calculus and http://archives.math.utk.edu/calculus/crol.html

TEXT-BASED MENU Math Archives - Calculus Resources On-line Welcome to the Calculus Resources On-line area of the Mathematics Archives. This area contains information and links to numerous Internet resources, which could be used for teaching and learning of calculus. If you would like to suggest adding information to this area, or have comments or questions, please contact Przemyslaw Bogacki , the calculus moderator. Here is the contents of the Calculus Resources On-line area: What's page, including announcements of workshops, conferences, etc. Initiatives, Projects and Programs main listing, alphabetized by institution's name (pilot sites are listed under the original developer institution) index by country and state index by platform Articles, Posters, Discussions Software vendors and other platform-specific sites Publisher sites ... Other listings of calculus resources Mathematics Archives software collection contains numerous shareware and freeware programs useful for teaching and learning of calculus. In addition to the "calculus" directories in the Mac and Windows/MS-DOS areas, interesting programs may be found elsewhere (e.g., in the directories "Advanced Calculus", "Graphing Programs", etc.).

13. Calc101.com Automatic Calculus, Linear Algebra, And Polynomials Check calculus homework. Enter a function and click for a stepby-step derivative or integral with each step explained. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. Calculus.org - THE CALCULUS PAGE . Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation. http://www.calculus.org/

calculus.org: THE CALCULUS PAGE Editorial Board Sponsors Prizes and competitions: Results of the 2005 National High School Student Calculus Competition have been finalized. The 2005 winner is Sam Beck. Details can be found at: 2005 Award Calculus.org Resources For The Calculus Student: Calculus problems with step-by-step solutions Calculus problems with detailed, solutions. It's calculus done the old-fashioned way - one problem at a time, one easy-to-follow step at a time, with problems ranging in difficulty from easy to challenging. Also available are scanned solutions to problems in differential integral and multi-variable calculus and series. Excerpts from "How To Ace Calculus" Excerpts from "How to Ace Calculus: The Streetwise Guide" a recently published book with an unorthodox humorous approach to learning calculus. For those with a sense of humor only. Calculus animations in Maple and Calculus animations in Mathematica A series of Quicktime movies, contributed by Deej Heath of Pacific Lutheran University. These illustrate many ideas of calculus, and also include instructions on how to make similar animations yourself using Maple or Mathematica. Calculus Applets A collection of Java applets illustrating calculus concepts by Deej Heath at Pacific Lutheran University.

15. Cool Math .com - An Amusement Park Of Math And More! An amusement park of mathematics. Puzzles and number problems, fractals, geometry, calculus, algebra, online games, online calculators, and links. http://www.coolmath.com/

Coolmath.com An amusement park of math designed for fun! Bored with math? Confused by math? Hate math? Yeah, Coolmath can fix that. Cool math Highlights: Our new site: FinanceFREAK.com Coolmath Algebra Math Reference Area (math formulas, etc.) Lemonade Stand (business math game) Same Game (a great math thinking game) Brain Bender Math Puzzles Coolmath Games (free online math games) Number Monster (great arithmetic practice) Monster Mind Reader (Can it read your mind?) Fractal Gallery (See how math makes art.) Graph IT (a free online graphing calculator) Fraction Lessons (lots of easy examples) Spike's Game Zone (free online games) Jigsaw Puzzles Cool Things (Amazing what math can do!)

16. Visual Calculus Tutorials Precalculus Limits and Continuity Derivatives Applications of Differentiation Integration Applications of Integration http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Calculus-Help.com Will Help You Survive Calculus! Features a new practice calculus problem every week with complete solutions. Includes an archive of prior weeks problems and solutions. http://www.calculus-help.com/

Calculus-Help.com is, and always will be, a free resource. If you'd like to make a (non tax-deductible) donation to help this web site continue using its super powers for good, please click here . (If you have Windows XP SP2, your browser may block the page and ask you to allow ActiveX controls; it's perfectly safe to do so.)

18. S.O.S. Math - Calculus More on the Area Problem. The Fundamental Theorem of calculus. Mean Value Theorems for Integrals. TECHNIQUES OF INTEGRATION Integration by http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. Calc101.com Automatic Calculus, Linear Algebra, And Polynomials Check calculus homework. Enter a function and click for a stepby-step derivative or integral with each step explained. http://www.calc101.com/

Automatic Calculus and Algebra Help derivatives, integrals, graphs, matrices, determinants, systems of linear equations math solutions on the web right here... anytime, from anywhere, automatically in plain English, just like a math textbook uses standard mathematics notation free steps... first and second derivatives over 80 matrix algebra operations long multiplication and division of polynomials free answers... buy a password to get all the steps... 99.9% of freshman indefinite integrals determinants matrix inverses systems of linear equations FAQs legal email us français ... Deutsch easy-to-use, live graphs derivatives integrals linear equations and matrix algebra ... long division stored derivatives and integrals product rule quotient rule chain rule substitution ... geometry animations

20. Calculus.org Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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