21. Tutorials For The Calculus Phobe Tutorials for the calculus Phobe offers free multimedia calculus tutoring. http://www.calculus-help.com/funstuff/phobe.html

Learning calculus is pretty tough, and you can forget about reading your textbook to get help. Understanding that enormous tome is just as plausible as whittling a canoe from a giant redwood tree. Welcome to your oasis of understanding. The tutorials that follow explain calculus audio-visually, and are the equivalent of a personal tutoring session. More than just boring lectures, the topics come alive with Flash animation. To view a lesson, simply click on its name. You may be asked whether or not you want to install a plug in. Click yes. If you are still having trouble viewing the movies, download the free Flash player here .I have gotten a lot of requests, asking me to put these up faster, and I apologize that I cannotI am working as fast as I can. Warning! Panhandling! 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.) Chapter One: Limits and Continuity Lesson 1: What is a Limit?

22. 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

23. Focus On Calculus: Topics in calculus that are important in physics http://omega.albany.edu:8008/mat214dir/Baierlein.html

Focus on Calculus A Physicist's View of Teaching Calculus Ralph Baierlein, Wesleyan University What topics in calculus would physicists like to see their students learn? A lot of topics, of course, but the need to economize in this article forces me to economize in what I might ask of a calculus teacher, who is strapped for time, if not for space. Here are some highlights- some areas of especial concern to the study of physics. Exponentials and logarithms That the derivative of an exponential function is proportional to the function itself is the most important property of those functions. A physicist would like to start with that property, as displayed here: Numerical exploration with base (b=2) yields a coefficient of b X that is less than 1; trying (b = 10) yields a coefficient greater than 1. In between 2 and 10 there ought to be a number that yields 1, and thereby e enters the scene. Then it is a matter of small, relatively easy steps to develop the topic and to finish with ln y as the integral of one-over-x dx. That logarithmic relation always puzzles students, and so it is best to place it last, not at the start, where it might derail the entire development. Expansions and approximations Almost every ``exactly-solved'' problem in physics is based on some initial approximation. To be sure, solutions have become famous as exact solutions to nonlinear differential equations, but those equations themselves are merely approximations to more fundamental equations. Physics students need to become handy with the Taylor expansion and the binomial expansion. Their level of expertise should enable them to apply those expansions to functions like

24. 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

25. Karl's Calculus Tutor Starting Page For 1st Year Calculus Tutorial A place for a 1st year calculus student to come when he or she needs a helping hand. Email tutoring available. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

26. Mr. Calculus mathematics subjects up to calculus BC. Click above to go to Mr. calculus page. The 2004 AP Free Response solutions are linked on the Mr. calculus page. 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 2004 AP Free Response solutions are linked on the Mr. Calculus page. The 2003 AP Free Response solutions are linked on the 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

27. Calculus Graphics Douglas N. Arnold graphics illustrating calculus concepts http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

28. Welcome To The UMR BrainTrax System! Offers assistance in algebra, geometry, trigonomety and calculus. Contains realworld examples, detailed example problems, and interactive features. Internet Explorer 5.0+ on a Windows PC is required. http://braintrax.umr.edu/

29. Mr. Calculus Ask Mr. calculus http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

30. 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://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

31. Calculus On The Web Welcome to calculus on the Web The COW Library Click on a button below to open a book. General information desk. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

32. Perl Contains The Lambda-Calculus Explains why this computer program is well suited to apply to functional application. http://perl.plover.com/lambda/

Perl contains the -calculus -Calculus (pronounced `lambda calculus') is a model of computation invented by Alonzo Church in 1934. It's analogous to Turing machines, but it's both simpler and more practical. Where the Turing machine is something like a model of assembly language, the -calculus is a model of function application. Like Turing machines, it defines a simplified programming language that you can write real programs in. Writing Turing machine programs is like writing in assembly language, but writing -calculus programs is more like writing in a higher-level language, because it has functions. The two legal operations in the -calculus are to construct a function of one argument with a specified body, and to invoke one of these functions on an argument. What can be in the body of the function? Any legal expression, but expressions are limited to variables, function constructions, and function invocations. What can the argument be? It has to be another function; functions are all you have. With this tiny amount of machinery, we can construct a programming language that can express any computation that any other language can express. Unlike most popular programming languages, Perl is powerful enough to express the

33. 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-Sep-2005 Donate to the Hurricane Katrina relief effort. Want to turn the tables on spammers? It's free. IMPORTANT VIEWING NOTE: 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 ... Special Interest Pages 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) 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).

34. 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

35. Calculus And Mathematica At UIUC A Mathematicabased calculus course. http://www-cm.math.uiuc.edu/

Home People Student Comments F.A.Q. The Courses Syllabi Students Homework Tips Homework Examples Download Lessons Help! Staff Lab Schedule Grading Tips Instructor Tips Tech Help Handin Systems ClassComm Links Netmath OSU Program Wolfram MathEverywhere News and Announcements: here Lab Hours Fall 2005 semester hours for lab in 239 Altgeld are: 8 AM - 4 PM Monday through Friday. The lab schedule for 239 Altgeld and 24 Illini Hall can be found here Wolfram Visit See the photos here Mathematica News Mathematica for students through CCSO is now available. It can be obtained here. The cost is $25 wtihout media (45 MB download) or $30 with the CD. It expires on 8/26/06 at which time it needs to be renewed. It will be renewed most likely at $25 again and will last until the following August.

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

Home Teacher Parents Glossary ... Email this page to a friend Select Subject Basic Math Everyday Math Pre-Algebra Algebra ... Math Tutoring Free Email @ Math.com Email Login Password New users sign up Search Fractions Decimals Integers Exponents ... Square Roots We hope your visit to math.com brings you a greater love of mathematics, both for its beauty and its power to help solve everyday problems. Einstein, Albert (1879-1955) Do not worry about your difficulties in mathematics, I assure you that mine are greater. Dirac, Paul Adrien Maurice (1902-1984) Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field. In P. J. Davis and R. Hersh The Mathematical Experience , Boston: Birkh¤user, 1981. Egrafov, M. If you ask mathematicians what they do, you always get the same answer. They think. They think about difficult and unusual problems. They do not think about ordinary problems: they just write down the answers. Mathematics Magazine , v. 65 no. 5, December 1992.

37. Connected Calculus This is an applied calculus tutorial. Some prior calculus knowledge might be helpful. http://www.math.montana.edu/frankw/ccp/calculus/topic.htm

The Connected Curriculum Project Contents Models, Data, and Curve Fitting Estimation and Limits Sequences and Discrete Dynamical Systems Derivatives and Differention ... Numerical Methods Models, Data, and Curve Fitting A Guide to this Chapter. The Mean and the Median Linear Models Linear Regression Quadratic Models Exponential Models Logistic Models Periodic Models Contents Estimation and Limits A Guide to this Chapter. Introduction When is it Safe to Drink the Water? A Descriptive Look Estimation and Limits Area ... Contents Sequences and Discrete Dynamical Systems A Guide to this Chapter. Quickstart Population Models Exponential Models Exponential Models with Immigration Linear Dynamical Systems ... Contents Derivatives and Differention A Guide to this Chapter. Introduction Curved Mirrors Comparing a Function with its Derivative Computing the Derivative as a Limit Visualizing the Derivative as a Limit Sometimes There Isn't a Tangent Interpretation Powers Linearity of the Derivative Polynomials Derivatives of the Trigonometric Functions Product Rule Quotient Rule Chain Rule Inverse Function Rule Derivatives of the Inverse Trigonometric Functions The Exponential Function Logarithms Implicit Differentiation Related Rates Mean Value Theorem Higher Order Derivatives Partial Derivatives Directional Derivatives The Gradient Contents Graphing A Guide to this Chapter.

38. The Epsilon Calculus Discussion of David Hilbert's development of this type of logical formalism with emphasis on prooftheoretic methods. http://plato.stanford.edu/entries/epsilon-calculus/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A ... Z This document uses XHTML/Unicode to format the display. If you think special symbols are not displaying correctly, see our guide Displaying Special Characters last substantive content change MAY The Encyclopedia Now Needs Your Support Please Read How You Can Help Keep the Encyclopedia Free 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

39. E-Calculus Home Page A basic calculus tutorial covering limits, derivatives and integrals. Uses a PDF format. http://www.math.uakron.edu/~dpstory/e-calculus.html

Last Update: 4/13/2002 Site Short Cuts Go Directly to Main Pages AcroTeX (Site Overview) The Guestbook (Sign In!) Main Menu (PDF) Algebra Review in Ten Lessons Homepage of D. P. Story WebTrig Go Directly to Calculus Articles Calculus Menu (PDF) Functions (PDF) Limits (PDF) Continuity (PDF) Differentiation (PDF) Integration (PDF) Appl. to Integration (PDF) What's New Get the Latest version of Acrobat Reader 5.0. Click on the Get Acrobat Icon above to go to the download area. e-Calculus is a Calculus I tutorial written in TeX and converted to the Adobe Portable Document Format (PDF). Features include verbose discussion of topics , typeset quality mathematics, user interactivity in the form of multiple choice quizzes, in-line examples and exercises with complete solutions, and pop-up graphics. If you are a first time user, be sure to check out the section entitled Important Components and the section Important Information directly below it before you start e-Calculus e-Calculus is viewed in the PDF format. This requires that you have Acrobat Reader 3.0

40. Calculus@Internet calculus@Internet Help Comments Login to Mathmarks calculus@internet accessed 6273998 times since January 1999. calculus@internet is a service of http://www.calculus.net/ci2/?tag=

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