1. 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 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. Tips on preparing for exams How to study and do well on exams Sample Exams See if you are ready for your exam by taking our collection of sample exams.

2. Calculus - Wikipedia, The Free Encyclopedia calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics that includes the study of limits, derivatives, integrals, http://en.wikipedia.org/wiki/Calculus

Calculus From Wikipedia, the free encyclopedia Jump to: navigation search For other uses, see Calculus (disambiguation) Topics in calculus Fundamental theorem Limits of functions Continuity Vector calculus ... Improper integrals Integration by parts disks cylindrical shells ... partial fractions Calculus Latin calculus , a small stone used for counting) is a branch of mathematics that includes the study of limits derivatives integrals , and infinite series , and constitutes a major part of modern university education. Historically, it was sometimes referred to as "the calculus of infinitesimals", but that usage is seldom seen today. Calculus has widespread applications in science and engineering and is used to solve complicated problems for which algebra alone is insufficient. Calculus builds on algebra trigonometry , and analytic geometry and includes two major branches, differential calculus and integral calculus , that are related by the fundamental theorem of calculus . In more advanced mathematics, calculus is usually called analysis and is defined as the study of functions More generally

3. S.O.S. Math - Calculus Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are 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 Integration of Nonelementary Functions 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

4. Calculus-Help.com Will Help You Survive Calculus! calculusHelp.com offers calculus help to students of all ages, including free multimedia tutorials and detailed calculus examples with complete 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.)

5. 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

6. MIT | Textbook Publications | Calculus By Gilbert Strang Textbook by Gilbert Strang in pdf. Covers derivatives, the power rule, integrals, http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm

var wtl_loc = document.URL.indexOf('https:')==0?'https://a248.e.akamai.net/v/248/2120/1d/download.akamai.com/crs/lgsitewise.js':'http://crs.akamai.com/crs/lgsitewise.js'; document.write(""); MIT OpenCourseWare MIT OCW Supplementary Resources Calculus by Gilbert Strang OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press , the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide Cover of Calculus , by Professor Gilbert Strang. (Image courtesy of Gilbert Strang.) Calculus Textbook Components Table of Contents ( PDF Index ( PDF Answers to Odd-Numbered Problems ( PDF Supplementary Tables and Equations ( PDF ChapterS FILES 1: Introduction to Calculus, pp. 1-43 1.1 Velocity and Distance, pp. 1-7 1.2 Calculus Without Limits, pp. 8-15 1.3 The Velocity at an Instant, pp. 16-21

7. Distance Calculus At Suffolk University Distance calculus at Suffolk University is a universitylevel calculus course program taught entirely via the internet. http://www.calculus.net/ci2/?tag=

8. Calculus Graphics -- Douglas N. Arnold Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student. http://www.ima.umn.edu/~arnold/graphics.html

(animated GIF version) GRAPHICS FOR THE CALCULUS CLASSROOM Douglas N. Arnold These are excerpts from a collection of graphical demonstrations I developed for first year calculus. Those interested in higher math may also want to visit my page of graphics for complex analysis . This page is on the list of the most frequently linked math pages according to MathSearch. Viewing instructions. The animations on this page use the animated GIF format. There is also a Java version of this page . The Java animator allows you to start and stop the animation, advance through the frames manually, and control the speed. Also the animation is a bit smoother, and the frames shuttle (first to last and then backward to first, etc.), which is a bit nicer. Unfortunately, the Java versions of the animation usually take much more time to load, and the Java animator has been know to crash browsers, especially on machines without much memory. An older version of this page using the MPEG animation format is available, but no longer actively maintained, and so not recommended. Differentials and differences This animation expands upon the classic calculus diagram above. The diagram illustrates the local accuracy of the tangent line approximation to a smooth curve, orotherwise statedthe closeness of the differential of a function to the difference of function values due to a small increment of the independent variable. (In the diagram the increment of the independent variable is shown in green, the differentiali.e., the product of the derivative and the incrementin red, and the difference of function values as the red segment plus the yellow segment. The point is that if the green segment is small, the yellow segment is

9. Limits The Rectangle Approximation Method The Fundamental Theorem of calculus Problem of Area Minimum value of the integral of a function http://www.ies.co.jp/math/products/calc/menu.html

Limits Derivatives Integrals

10. 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://cow.math.temple.edu/

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

11. Math Forum: Calculus The best Internet resources for calculus classroom materials, software, Internet projects, and public forums for discussion. http://mathforum.org/calculus/calculus.html

Calculus Back to Math by Subject Math by Subject K12 Topics algebra arithmetic calculus discrete math geometry pre-calculus prob/stat Advanced Topics analysis calculus diff. equations game theory discrete math geometry (coll.) geometry (adv.) linear algebra modern algebra num. analysis Internet Calculus Resources See also Single-variable Calculus and Multi-variable Calculus in the Math Forum's Internet Mathematics Library. Classroom materials for teachers and students Selected calculus Internet resources for the classroom, including activities and interactive resources. Software for calculus Publicly available software and publishers online. Internet projects Activities for students and lovers of calculus. Public forums for discussing calculus Mailing lists and newsgroups sponsored by the Forum and others where mathematicians,teachers, and students trade ideas about calculus. Home The Math Library Quick Reference Search ... Help http://mathforum.org/ The Math Forum is a research and educational enterprise of the Drexel School of Education

12. Calculus History The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians. 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. However Archimedes , around 225 BC, made one of the most significant of the Greek contributions. His first important advance was to show that the area of a segment of a parabola is

13. Tutorials - HMC Calculus Tutorial Topics include precalculus, calculus, multivariable calculus, linear algebra and differential equations. http://www.math.hmc.edu/calculus/tutorials/

first time visitors notes about fonts taking the quizzes math 11 and 12 ... Click here to get these tutorials in PDF format. For more fun, check out Math Fun Facts ...or visit the HMC Math Department

14. Calc101.com Automatic Calculus, Linear Algebra, And Polynomials Check your calculus homework! Enter your function to get your calculus derivative or integral with each step explained, automatically and fast. http://calc101.com/

Calc101.com Automatic Calculus and Algebra Help derivatives, integrals, graphs, linear equations, matrix algebra automatic calculus help on the web NOW... no software download, no sign up hassle anytime, anywhere solutions just like your math textbook free graphs... see zeros, y-intercept, min/max, inflection points see intervals of increase, decrease, concavity, vertical asymptotes free steps... first and second derivatives, partial fractions systems of linear equations and over 80 matrix algebra operations free answers... buy a password to get all the steps 99.9% of freshman indefinite integrals (antiderivatives) determinants and matrix inverses (using row reduction) FAQs legal email us français ... Deutsch easy-to-use, live, TRY IT: derivatives integrals graphs partial fractions ... long division stored derivatives and integrals product rule quotient rule chain rule substitution ... geometry animations

15. Math.com Homework Help Calculus Select Subject, Basic Math, Everyday Math, Pre-Algebra, Algebra, Geometry, Trigonometry, Statistics, calculus, Advanced Topics, Others. Resources http://www.math.com/homeworkhelp/Calculus.html

Home Teacher Parents Glossary ... Email this page to a friend Select Subject -Select Subject Basic Math Everyday Math Pre-Algebra Algebra Geometry Trigonometry Statistics Calculus Advanced Topics Others Resources Cool Tools References Test Preparation Study Tips ... Wonders of Math Search Enter your search terms Web Math.com Submit search form Play Sudoku Integrals Table of Integrals Integral Identities Special Functions Derivatives Table of Derivatives Derivative Identities Min, Max, Critical Points, Asymptotes, Concavity, Inflection, etc. Series Expansions ... Legal Notices . Please read our Privacy Policy

16. Calculus Bible The calculus Bible http://www.math.byu.edu/Math/CalculusBible/

This document was designed for a frames-capable browser. You can still read the text here

17. Calculus -- From Wolfram MathWorld The calculus, more properly called analysis (or real analysis or, in older literature, infinitesimal analysis) is the branch of mathematics studying the http://mathworld.wolfram.com/Calculus.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Interactive Demonstrations Calculus In general, "a" calculus is an abstract theory developed in a purely formal way. "The" calculus, more properly called analysis (or real analysis or, in older literature, infinitesimal analysis ) is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area , and volume of objects. The calculus is sometimes divided into differential and integral calculus , concerned with derivatives and integrals respectively. While ideas related to calculus had been known for some time (Archimedes' method of exhaustion was a form of calculus), it was not until the independent work of Newton and Leibniz that the modern elegant tools and ideas of calculus were developed. Even so, many years elapsed until the subject was put on a mathematically rigorous footing by mathematicians such as Weierstrass. SEE ALSO: Arc Length Area Calculus of Variations Change of Variables Theorem ... Volume REFERENCES: Anton, H.

18. Karl's Calculus Tutor: Table Of Contents Table of Contents for Karl s calculus Tutor. Select from topics Limits, Continuity, Derivatives, MinMax, Related Rates, L Hopital s Rule, Integration, http://www.karlscalculus.org/calculus.html

Karl's Calculus Tutor Table of Contents last update 1-Mar-2007 IMPORTANT VIEWING NOTE: To properly view these pages, 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 details. click here Section Index 1) Number Systems 2) Limits 3) Continuity 4) Derivatives ... Online Calculator From B. Cherkas at CUNY: 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: Applications of Integration (Areas) prependix a: Math Notation over the Web prependix b: Why Bother to Learn Calculus prependix c: Stuff You Should Already Know prependix d: Study Tips ... Karl's Calculus Forum where you can discuss calculus topics with other visitors to Karl's Calculus Tutor 0 Greetings and Welcome 1 Number Systems and Their Properties 1.0 Preliminaries

19. Calculus Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson s calculus Made Easy, but in less detail than in http://www.lightandmatter.com/calc/

home books software courses ... books > Calculus This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy , but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals Numerical examples are given using the open-source computer algebra system Yacas , and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results. Download in Adobe Acrobat format - free Buy a printed copy - $7.25 Readers interested in the infinitesimal approach may also want to look at two other online books: Keisler , and A Brief Introduction to Infinitesimal Calculus by Stroyan.

20. QuickMath Automatic Math Solutions The calculus section of QuickMath allows you to differentiate and calculus is a vast topic, and it forms the basis for much of modern mathematics. http://www.quickmath.com/www02/pages/modules/calculus/index.shtml

Algebra Expand Factor Simplify ... Determinant Graphs Equations Inequalities Numbers Percentages Scientific notation google_ad_client = "pub-8651647546713104"; google_ad_width = 120; google_ad_height = 600; google_ad_format = "120x600_as"; google_ad_type = "text"; google_ad_channel ="7739705934"; google_color_border = "336699"; google_color_bg = "FFFFFF"; google_color_link = "0000FF"; google_color_url = "008000"; google_color_text = "000000"; Calculus The calculus section of QuickMath allows you to differentiate and integrate almost any mathematical expression. What is calculus? Calculus is a vast topic, and it forms the basis for much of modern mathematics. The two branches of calculus are differential calculus and integral calculus. Differential calculus is the study of rates of change of functions. At school, you are introduced to differential calculus by learning how to find the derivative of a function in order to determine the slope of the graph of that function at any point. Integral calculus is often introduced in school in terms of finding primitive functions (indefinite integrals) and finding the area under a curve (definite integrals). Differentiate The differentiate command allows you to find the derivative of an expression with respect to any variable. In the advanced section, you also have the option of specifying arbitrary functional dependencies within your expression and finding higher order derivatives. The differentiate command knows all the rules of differential calculus, including the product rule, the quotient rule and the chain rule.

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