1. Calculus - Wikipedia, The Free Encyclopedia calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. http://en.wikipedia.org/wiki/Calculus

Calculus From Wikipedia, the free encyclopedia Jump to: navigation search This article is about the branch of mathematics. For other uses, see Calculus (disambiguation) It has been suggested that infinitesimal calculus be merged into this article or section. ( Discuss Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem ... Identities Rules: Power rule Product rule Quotient rule Chain rule ... Improper integrals Integration by: parts disks cylindrical shells ... Jacobian Calculus Latin calculus , a small stone used for counting) is a branch of mathematics focused on limits functions derivatives integrals , and infinite series . This subject constitutes a major part of modern mathematics education . It has two major branches, differential calculus and integral calculus , which are related by the fundamental theorem of calculus . Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis . Calculus has widespread applications in science economics , and engineering and can solve many problems for which algebra alone is insufficient.

2. 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

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 given. 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 - Wolfram Mathematica 7 Documentation In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced by new http://reference.wolfram.com/mathematica/guide/Calculus.html

baselang='Calculus.en'; PRODUCTS Mathematica Mathematica Home Edition Mathematica for Students ... Stephen Wolfram DOCUMENTATION CENTER SEARCH Mathematica Mathematics and Algorithms Calculus In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced by new methods being discovered at Wolfram Research, the algorithms in Mathematica probably now reach almost every integral and differential equation for which a closed form can be found. D partial derivatives, of scalar or vector functions Dt total derivatives Integrate symbolic integrals in one or more dimensions Series power series and asymptotic expansions Limit limits DSolve symbolic solutions to differential equations Minimize Maximize symbolic optimization Sum Product symbolic sums and products LaplaceTransform FourierTransform Convolve DiracDelta ... Orthogonalize normalize, orthogonalize families of functions NIntegrate NDSolve NMinimize NSum ... Derivative symbolic and numerical derivative functions DifferentialRoot general representation of linear differential solutions DifferenceDelta GeneratingFunction RSolve RecurrenceTable TUTORIALS Finding Limits Differentiation Integration Indefinite Integrals ... Sums and Products MORE ABOUT Series Expansions Discrete Calculus Fourier Analysis Differential Equations ... Numerical Differential Equation Analysis Package RELATED LINKS Demonstrations related to Calculus The Wolfram Demonstrations Project How to: Do Calculus Site Index Choose Language

5. 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.

6. Calculus-Help.com: Survive Calculus Class! - Tutorials For The Calculus Phobe If you like the way Mike explains calculus in his movies, maybe you'd like one of his books! Click a book to learn more! http://www.calculus-help.com/tutorials

Home Tutorials Problems Fun ... About Me Navigation Home Tutorials Problems Fun ... About Me Randoms Contribute Thanks Superbowl Rules Superbowl FAQs ... Calculus Carols 1998 Problems #1: Limits Flash Tutorials for the Calculus Phobe Chapter One: Limits and Continuity Lesson 1: What Is a Limit? Lesson 2: When Does a Limit Exist? Lesson 3: How do you evaluate limits? Lesson 4: Limits and Infinity ... Lesson 6: The Intermediate Value Theorem Chapter Two: Finding Derivatives Lesson 1: The Difference Quotient Lesson 2: The Power Rule Lesson 3: The Product Rule Lesson 4: The Quotient Rule ... Lesson 5: The Chain Rule More lessons to come.... If you like the way Mike explains calculus in his movies, maybe you'd like one of his books! Click a book to learn more! Click here to email Mike Click here to donate to Calculus-Help.com. Subscribe to RSS feed

7. Math Index Covers derivative and integral conversions as well as calculus rules. Includes practice exercises. http://cs.gmu.edu/cne/modules/dau/calculus/calculus_frm.html

8. Calculus: Definition From Answers.com n. , pl. , li ( -lī ' ), or -lus es . Pathology . An abnormal concretion in the body, usually formed of mineral salts and found in the gallbladder, kidney, or urinary http://www.answers.com/topic/calculus

9. AP Calculus - Notes, Outlines, Vocabulary And Quizzes | Course-Notes.Org AP calculus AB, also called AB Calc, is an advanced placement calculus exam taken by some United States high school students. It comes after Precalculus, which is known as http://www.course-notes.org/Calculus

Home Contact Us Careers Advertise Welcome! Sign in or register Home Photos Videos Social Science Economics European History Human Geography Psychology ... World History Math Algebra Geometry Trigonometry Calculus ... Statistics Science Biology Chemistry Environmental Science Physics Fine Arts Art History English Music Theory Blogs ... Members Only ***NEW!*** Search this site: Home » AP Calculus AP Calculus AP Calculus AB , also called AB Calc, is an advanced placement calculus exam taken by some United States high school students. It comes after Precalculus, which is known as Introduction to Analysis in some places, and is the first calculus course offered at most schools. An AP Calculus AB course is typically equivalent to one semester of college calculus. The material includes limits, differentiation, integration, applications of the previous, and other topics covered in standard college calculus courses. AP Calculus BC , sometimes called BC Calc, includes all of the topics in AP Calculus AB, as well as convergence tests for series, Taylor and/or Maclaurin series, parametric, vector, polar functions, and curve length. In addition, L'Hôpital's rule, improper integrals, and using partial fractions to integrate rational functions are commonly taught in this course. Students in AP Calculus BC generally receive two semesters of Advanced Placement in mathematics. Calculus Topics Covered: Premium Content Limits Derivatives Implicit Differentiation ... Login or register to post comments Links Online Colleges Technician Schools Recent The Earth and Its Peoples 3rd Edition Silk Road Sample AP World History Research Paper AP US History- America Past and Present Lead Nitrate - Potassium Iodide Lab Links

10. Fractional Calculus - Table Of Contents Contains introductory notes on fractional calculus. http://www.xuru.org/fc/toc.asp

• Home » Fractional Calculus • Regression Tools • Statistical Tools ... • Privacy Table of Contents Home Contents Contact In this section you can see my introductory notes on Fractional Calculus. You can also download them in pdf format at the downloads section. Our understanding of Nature relies on calculus, which in turn relies on the intuitive concept of the derivative. It's descriptive power comes from the fact that it analyses the behavior at scales small enough that its properties change linearly, so avoiding complexities that arise at larger ones. Fractional Calculus generalizes this concept from integer to non-integer order. Despite it seems not to have significant applications in fundamental physics, research on this core concept could be valuable in understanding Nature. These notes comprise an introduction to the field. Introduction Exponentials Powers Binomial Formula ... Local Operators

11. CALCULUS | Textbooks | Larson, Ron | 9780547167022 | Rent Buy Sell Textbook eCampus.com Textbook Rent Buy Sell calculus by Larson, Ron - 9780547167022, Price $75.13. Textbooks - Easy. Fast. Cheap! http://www.ecampus.com/book/9780547167022

12. Fractional Calculus - Wikipedia, The Free Encyclopedia Provides definitions, history, applications and examples. http://en.wikipedia.org/wiki/Fractional_calculus

Fractional calculus From Wikipedia, the free encyclopedia Jump to: navigation search Fractional calculus is a branch of mathematical analysis that studies the possibility of taking real number powers or complex number powers of the differential operator and the integration operator J . (Usually J is used instead of I to avoid confusion with other I -like glyphs and identities In this context the term powers refers to iterative application or composition, in the same sense that f (x) = f(f(x)). For example, one may ask the question of meaningfully interpreting as a square root of the differentiation operator (an operator half iterate ), i.e., an expression for some operator that when applied twice to a function will have the same effect as differentiation . More generally, one can look at the question of defining for real-number values of a in such a way that when a takes an integer value n , the usual power of n -fold differentiation is recovered for n n th power of J when n There are various reasons for looking at this question. One is that in this way the semigroup of powers D n in the discrete variable n is seen inside a continuous semigroup (one hopes) with parameter a which is a real number. Continuous semigroups are prevalent in mathematics, and have an interesting theory. Notice here that

13. 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, Taylor and Maclaurin http://www.karlscalculus.org/calculus.html

Karl's Calculus Tutor Table of Contents last update 23-Oct-2010 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 (this page also available in printer-friendly PDF prependix d: Study Tips Karl's Calculus Tutor: Interactive Features Special Interest and Optional Pages ... 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

14. Fractional Calculus -- From Wolfram MathWorld Defines the fractional integral in terms of the gamma function and contains links to information on fractional derivatives. http://mathworld.wolfram.com/FractionalCalculus.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Fractional Calculus Fractional Calculus The study of an extension of derivatives and integrals to noninteger orders. Fractional calculus is based on the definition of the fractional integral as where is the gamma function . From this equation, fractional derivatives can also be defined. SEE ALSO: Derivative Fractional Derivative Fractional Differential Equation Fractional Integral ... Riemann-Liouville Operator REFERENCES: Butzer, P. L. and Westphal, U. "An Introduction to Fractional Calculus." Ch. 1 in Applications of Fractional Calculus in Physics (Ed. R. Hilfer). Singapore: World Scientific, pp. 1-85, 2000. Kilbas, A. A.; Srivastava, H. M.; and Trujiilo, J. J. Theory and Applications of Fractional Differential Equations. Amsterdam, Netherlands: Elsevier, 2006. McBride, A. C. Fractional Calculus. New York: Halsted Press, 1986. Nishimoto, K. Fractional Calculus. New Haven, CT: University of New Haven Press, 1989. Samko, S. G.; Kilbas, A. A.; and Marichev, O. I. Fractional Integrals and Derivatives.

15. Calculus - Simple English Wikipedia, The Free Encyclopedia calculus is a branch of mathematics which looks at things that change over time. It tries to say what type of change it is and how big it is using functions at the exact moment http://simple.wikipedia.org/wiki/Calculus

Calculus From Wikipedia, the free encyclopedia Jump to: navigation search This page or section does not have any sources . You can help Wikipedia by finding sources, and adding them. Tagged since September 2009 Calculus is a branch of mathematics which looks at things that change over time. It tries to say what type of change it is and how big it is using functions at the exact moment at which the change is taking place. There are two different types of calculus. Differential calculus divides things into small ( different ) pieces and tells us how they change from one moment to the next, while integral calculus joins ( integrates ) the small pieces together and tells us how much of something is made by a change. It is used in many different fields such as physics astronomy biology engineering ... medicine and sociology The word Calculus is derived from the Latin for "small stone". Contents History Differential calculus Main idea of calculus Demonstration of main idea of calculus ... change History In the 1670s and 1680s, Sir Isaac Newton in England and Gottfried Leibniz in Germany figured out calculus at the same time, working separately from each other. Newton wanted to make new math to predict where to see

16. Calculus - A To Z Home's Cool Homeschooling Math calculus made easy through online games for young homeschoolers. Links from your Homeschooling Guide http://homeschooling.gomilpitas.com/explore/calculus.htm

YOU ARE HERE: HOMESCHOOLING EXPLORATIONS 4 KIDS MATH Earn your certificate from the comfort of your own computer. Homeschooling Explorations 4 Kids I am Ann Zeise , your guide to the best and most interesting and useful sites and articles about home education on the web. Homeschooling New Kids Links New Kids Links Contact Ann Zeise ... Curriculum Shopping Site Index: A B C D ... Z Advanced Math Math 4 Teens Calculators History of Math High School Math Algebra Geometry Trigonometry Calculus Math 4 Kids Art Math Connection Calendars Clocks Logic Games ... Word Problems Math Curriculum Math Shop Explorations 4 Kids Computer Literacy Drivers Ed Fine Arts General Interest ... Social Studies A to Z Home's Cool Welcome to Homeschooling Articles Beginning to Homeschool Chat Room ... Unschooling Calculus AP Calculus We have selected relevant material from MIT's introductory courses to support students as they study and educators as they teach the AP Calculus curriculum. Calculus Graphics These are excerpts from a collection of graphical demonstrations I developed for first year calculus.

17. Fractional Calculus Provides the Riemann-Liouville definition of the fractional integral, a definition of fractional derivatives, and a list of applications of the calculus. http://people.tuke.sk/ivo.petras/FC.html

Fractional Calculus (differentiation and integration of arbitrary non-integer order) Key words: fractional calculus fractional integral fractional derivatives fractional differential equations 1. Introduction The term fractional calculus is no new. It is a generalization of the ordinary differentiation and integration to non-integer (arbitrary) order. The subject is as old as the calculus of differentiation and goes back to times when Leibniz Gauss , and Newton invented this kind of calculation. In a letter to L`Hospital in 1695 Leibniz raised the following question: "Can the meaning of derivatives with integer order be generalized to derivatives with non-integer orders?" The story goes that L`Hospital was somewhat curious about that question and replied by another question to Leibniz. "What if the order will be 1/2?" Leibniz in a letter dated September 30, 1695 replied: The translation reads: "It will lead to a paradox, from which one day useful consequences will be drawn." The question raised by Leibniz for a fractional derivative was an ongoing topic in the last 300 years. Several mathematicians contributed to this subject over the years. People like Liouville Riemann , and Weyl made major contributions to the theory of fractional calculus. The story on the fractional calculus continued with contributions from

18. Integral - Wikipedia, The Free Encyclopedia Integration is an important concept in mathematics and, together with differentiation, is one of the two main operations in calculus. Given a function Æ’ of a real variable x and an http://en.wikipedia.org/wiki/Integral_calculus

Integral From Wikipedia, the free encyclopedia   (Redirected from Integral calculus Jump to: navigation search This article is about the concept of integrals in calculus . For the set of numbers, see integer . For other uses, see Integral (disambiguation) A definite integral of a function can be represented as the signed area of the region bounded by its graph. Topics in Calculus Fundamental theorem Limits of functions Continuity ... Identities Rules: Power rule Product rule Quotient rule Chain rule ... Integral calculus Integral Lists of integrals Improper integrals Integration by: parts disks cylindrical shells ... Jacobian Integration is an important concept in mathematics and, together with differentiation , is one of the two main operations in calculus . Given a function of a real variable x and an interval a b ] of the real line , the definite integral is defined informally to be the net signed area of the region in the xy -plane bounded by the graph of , the x -axis, and the vertical lines x a and x b The term integral may also refer to the notion of antiderivative , a function F whose derivative is the given function . In this case, it is called an

19. Calculus Help | Homeschool Online Lessons Get calculus help via online videos. Create your homeschool curriculum using homeschool online lessons. calculus online video courses will make your home school a success. http://www.thinkwell.com/homeschool/product/calculus

20. Applications Of Fractional Calculus Provides information of the practical uses of the calculus. http://www.icp.uni-stuttgart.de/Jahresberichte/01/node66.html

Next: Fractional Dynamics in the Up: Scientific Report Previous: The Broad Histogram Method: Contents Applications of Fractional Calculus The idea of generalizing the concepts of differentiation and integration to noninteger (fractional) orders has a long mathematical history. In mathematics one learns very early that the -th derivative of is for . It is little known, however, that this rule can be naturally generalized to noninteger orders such that for arbitrary real (and complex) . Over the centuries many mathematicians have built up a large body of mathematical knowledge on fractional integrals and derivatives. Although fractional calculus is a natural generalization of calculus, and although its mathematical history is equally long, it has, until recently, played a negligible role in physics. This situation is beginning to change and there has been some interest in Applications of Fractional Calculus in Physics. Our Institute has published a book concerning this topic which was well received by the scientific public (see section Many applications of fractional calculus in physics amount to replacing the time derivative in an evolution equation with a derivative of fractional order. This is not merely a phenomenological procedure providing an additional fit parameter. Rather fractional derivatives seem to arise generally and universally, and for deep mathematical reasons. One central result of the work at our institute has been the fact that fractional derivatives arise as the infinitesimal generators of a class of translation invariant convolution semigroups. These semigroups appear universally as attractors for coarse graining procedures or scale changes. They are parametrized by a number in the unit interval corresponding to the order of the fractional derivative. Ongoing work concentrates on applications of fractional time evolutions in particular to diffusion phenomena and glassy relaxation.

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