41. Calculus - The Wolfram Demonstrations Project Numerical Methods for Differential Equations Representations of the Dirac Deltafunction Fonction de répartition (French) calculusFree Derivatives of http://demonstrations.wolfram.com/topic.html?topic=Calculus

42. World Web Math: Calculus Index calculus Index. Paths. Independent Study. Topics. Summary; Limits. Formal definition of limits The Squeeze Theorem Useful Trigonometric Limits http://web.mit.edu/wwmath/calculus/index.html

Calculus Index Paths: Independent Study Topics: Summary Limits Formal definition of limits The Squeeze Theorem Useful Trigonometric Limits Differentiation Table of derivatives Definition of differentiation The Notation of Differentiation Rules of Differentiation Derivatives of polynomial functions The Product Rule The Quotient Rule The chain rule ... Differentiation of inverse functions Derivatives of Trigonometric functions Derivative of sine Derivatives of cosine Derivatives of other trigonometric functions Derivatives of inverse trigonometric functions Derivatives of Logarithmic Functions Euler's magic number/ Derivative of exponentials Differentiation of logarithms Derivatives of hyperbolic functions Applications of Differentiation Integration Methods of integration Back to the World Web Math Home Page Back to the World Web Math Categories Page watko@mit.edu Last modified November 5, 1998

43. UBC Calculus Online Homepage University of British Columbia course notes. Covers functions, derivatives and applications of derivatives in some detail. calculus labs or short quizzes http://www.ugrad.math.ubc.ca/coursedoc/math100/

The UBC Calculus Online Homepage Welcome to UBC Calculus Online. This site is an online supplement to Math 100, Sections 103, 104, 107 and 109, being taught within the University of British Columbia Department of Mathematics. Everyone is welcome and feedback is appreciated. Who We Are Course Notes Labs In class demonstrations Announcements Resources Links to some other interesting sites Please send us your comments.

44. Career Calculus Remember your introductory calculus? Probably not. You were either a horny high school senior or a hungover college freshman, so you weren t paying http://www.ericsink.com/Career_Calculus.html

Home About Eric RSS Complete Archive Series: Source Control HOWTO Marketing for Geeks The 22 Immutable Laws of Marketing The Business of Software ... WPF 3D Topics: Software Development WPF Business Laughs ... SourceGear Related Sites: www.NotALegend.com www.SourceGear.com www.Teamprise.com Tuesday, August 19, 2003 Career Calculus A couple weeks ago there was a flurry of blogging over the price of Microsoft's upcoming Professional Developers Conference ( PDC ). In the midst of this controversy, Doug Reilly chimed in with a post entitled " Who is responsible for your career? ". Doug's post got a lot of reads and links, including well-said "amen posts" from Sam Gentile and Robert Hurlbut While I don't care to debate the issue of PDC pricing, I do want to affirm the concept of taking responsibility for our own careers. Often we choose to focus on the things which are outside our control. But the truth is that our career path is largely determined by our own choices. I've known and worked with lots of developers, and I have noticed one thing which separates those with great careers from everybody else. Developers with outstanding careers understand a secret that seems to elude the majority: Focus on the first derivative.

45. Calculus: Differentials And Integrals. A Simple Introduction From Physclips calculus is easier than you think. Here s a simple example the bucket at right integrates the flow from the tap. The flow is the time derivative of the http://www.physclips.unsw.edu.au/jw/calculus.htm

Calculus: differentials and integrals. A simple introduction from Physclips Calculus is easier than you think. Here's a simple example: the bucket at right integrates the flow from the tap. The flow is the time derivative of the water in the bucket. The basic ideas are not more difficult than that. Calculus analyses things that change, and physics is much concerned with changes. For physics, you'll need at least some of the simplest and most important concepts from calculus. Fortunately, one can do a lot of introductory physics with just a few of the basic principles. So stick with us: differentiation really is just subtracting and dividing, and integration really is just multiplying and adding. This short introduction is no substitute, however, for a good high school calculus course: we are going to take some short cuts of which mathematicians may disapprove. Differentiation: How rapidly does something change? Varying derivatives Analytical derivatives Power terms and polynomials ... What is a logarithm? A brief introduction Differentiation: How rapidly does something change? v vector When the clock strikes zero, he is at x = 3 m. We call this his initial displacement and write x

46. Multivariable Calculus Contents Multivariable calculus Online is adapted from the textbook calculus A Modern Approach by Kevin Shirley and Jeff Knisley. http://math.etsu.edu/Multicalc/

Multivariable Calculus Online (supported in part by National Science Foundation grant DUE-9950600) Vector-Valued Functions Vectors in 2 and 3 dimensions The Dot Product The Cross Product ... Capstone: The Inverse Square Law C.1. Uniform Circular Motion C.2. Conservation Laws C.3. Kepler's Laws C.4. Satellites and Planets C.5. Electric and Magnetic Fields C.6. Maxwell's Equations C.7. Special Relativity C.8. General Relativity - An Overview Downloads Individual Sections Maple Worksheets Online Tools ... Browser Considerations Optimized for 1024 X 768 resolution Developed for Windows IE 6.0 or greater

47. Calculus Animations With Mathcad calculus Animations with Mathcad. by Przemyslaw Bogacki and Gordon Melrose. Contents. Limits; Slope vs. Derivative; Arc Length; Infinite Series http://www.math.odu.edu/cbii/calcanim/

Calculus Animations with Mathcad by Przemyslaw Bogacki and Gordon Melrose Contents Limits Slope vs. Derivative Arc Length Infinite Series ... Quadric Surfaces If your browser displays incorrect colors after animation playback, look here Limits The statement can be intuitively interpreted as follows: the number L is approached by the function values f(x) corresponding to x values that approach c Two examples are illustrated: Slope vs. Derivative The top graph depicts the given function, and a triangle illustrating the rise corresponding to the run=1. As the animation advances, the triangle moves along the graph, and the rise/run values are used to create the derivative graph underneath. Note that the positive rise/run values are indicated in green; negative values are indicated in red. This animation can be viewed for the following functions: Arc Length The arc length of the graph of y=f(x) from x=a to x=b can be defined using the the length of a polygonal approximation to the graph. The first example illustrates a sequence of polygonal approximations of a rectifiable curve, i.e., a curve with a finite arc length. In the second example, the curve has infinite length.

48. Calculus For Beginners calculus for Beginners and Artists. Chapter 1 Why Study calculus? Chapter 2 Numbers Single Variable calculus. Derivative and Tangent Line http://www-math.mit.edu/~djk/calculus_beginners/

Calculus for Beginners and Artists Chapter 1 Why Study Calculus? Chapter 2 Numbers Chapter 3 Linear Functions Chapter 4 Quadratics and Derivatives of Functions Chapter 5 Rational Functions and the Calculation of Derivatives Chapter 6 Exponential Functions, Substitution and the Chain Rule Chapter 7 Trigonometric Functions and their Derivatives Chapter 8 Inverse Functions and their Derivatives Chapter 9 Numerical Differentiation, and Non-Differentiable Functions Chapter 10 Review of Functions and Derivatives Chapter 11 Modeling Applications to Physics Chapter 12 More Modeling Applications Chapter 13 Modeling Chemical Reactions and Predator Prey Situations Chapter 14 Applications of Differentiation: Solving Equations Chapter 15 Applications of Differentiation: Power Series Chapter 16 The Antiderivative Chapter 17 Areas and Volumes of Parallel Sided Figures Chapter 18 Area under a Curve Chapter 19 Numerical Integration Chapter 20 Solving Differential Equations Tools Glossary of Notations Index Applets Precalculus Operations on Functions Trigonometric Functions Slope of a Line Curves Curves in Two Dimensions Single Variable Calculus Derivative and Tangent Line Newton's Method Numerical Integration Differential Equations First Order ODE Second Order ODE Complex Numbers Complex Numbers Applications Series RLC Circuit Flash Dialogs Operations on Functions Trigonometric Functions Slope of a Line Curves in Two Dimensions ... Series RLC Circuit var site="s31djkcalc"

49. Java + Calculus Java + calculus. Some Java applets for experimenting with graphs of functions, and notions like limits, tangents, derivatives, arc length, and area. http://www.math.utah.edu/~carlson/teaching/java/calculus/

Java + Calculus Some Java applets for experimenting with graphs of functions, and notions like limits, tangents, derivatives, arc length, and area. Graph An applet for experimenting with graphs of cubic polynomials. Can easily be modified to graph anything. Source code Length An applet for experimenting with the arc length of graph of a cubic polynomial. Can easily be modified for other curves. Area An applet for experimenting the area under the graph of a cubic polynomial. Can easily be modified for other curves. Home Math Dept Search Links ... old home page Last modified by jac at 13:56 on 12/21/1997.

50. Mathtools.net : Fortran/Calculus Listing of Fortran calculus related links, tools, and resources. http://www.mathtools.net/Fortran/Calculus/index.html

Link Exchange for the Technical Computing Community Hosted by The MathWorks www.mathworks.com Search Entire Site Applications and Industries C,C++ Excel Fortran Java Learning and Education MATLAB Visual Basic Home Fortran Top-Rated Links Calculus Related Categories C,C++/Calculus Java/Calculus MATLAB/Mathematics/Calculus Other/Calculus ... Update Link / Bad Link? Submitted Mar 29, 2000 Rating: (1 Ratings) Rate this link Total Visits: 92 Software for Initial Value Problems Update Link / Bad Link? The code GAM numerically solves first order ordinary differential equations, either stiff or nonstiff in the form y'=f(x,y), with a given initial condition. The methods used are in the class of Boundary Value Methods (BVMs), namely the Generalized Adams Methods (GAMs) of order 3,5,7,9 with step size control. Submitted Mar 28, 2000 Rating: N/A Rate this link Total Visits: 82 netlib/ode Update Link / Bad Link? Many ODE solvers. Submitted Jul 07, 1999 Rating: N/A Rate this link Total Visits: 60 FISHPAK Update Link / Bad Link?

51. Calculus WIZ: Wolfram Research's Calculus Tutor calculus software for use with Mathematica. Solves calculus homework problems directly. Contains algebraic calculator and interactive textbook that covers http://www.wolfram.com/products/student/calcwiz/

PreloadImages('/common/images2003/link_products_on.gif','/common/images2003/link_purchasing_on.gif','/common/images2003/link_forusers_on.gif','/common/images2003/link_aboutus_on.gif','/common/images2003/link_oursites_on.gif'); "Wolfram Research, developer of Mathematica, has released an amazing calculus program called Calculus WIZ that handles formulas in a most intuitive way, so that anyone can gain insight from experimenting with the math of motion." Scott Myers MacWEEK.com Concentrate on Concepts Not Computations Calculus WIZ is an interactive calculus tutorial that's simple, powerful, and easy to understand. Calculus WIZ taps into the calculus power of Mathematica to help you blow away your calculus homeworkand now, Calculus WIZ no longer requires you to have Mathematica ! Our stand-alone edition comes with a specially customized mathematics engine based on Mathematica technology. Calculus WIZ can help you from day one, or whenever the going gets rough, by giving you a firm grasp on the following key concepts: Limits, Functions and Graphs, Differentiations, The Mean Value Theorem, Curve Sketching, Applications of the Derivative, Integrations and Their Application, Transcendental Functions, Techniques of Integration, Conics, Polar Coordinates, Parametric Equations, Infinite Sequences, Improper Integrals, Infinite Series, Differential Equations

52. Electoral Calculus Prediction of the UK election results using scientific analysis of opinion polls and electoral geography. Includes detailed predictions of every seat, http://www.electoralcalculus.co.uk/

53. Calculus Calculators calculus Differentiate The differentiate command allows you to find the derivative of an expression with respect to any variable. http://www.ifigure.com/math/calculus/calculus.htm

your source for online planning, calculating and decision-making Home Plan Calculate Convert ... Decide Mathematics Basic Math Algebra Geometry Trigonometry ... Tutorials Calculus Calculators Differentiation Finding a Derivative Shows how apply the power rule, product rule and chain rule to find the derivative. Differentiation with the Quotient Rule Shows how to use the quotient rule to find the derivative of fractional expressions. Calculus: 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." Derivative Calculator "Use this program to find the slope of a curve at a point (ie. evaluate the derivative)." Integration Finding the integral of an expression (numerical) "This selection can perform a numerical integration of an expression." Finding the integral of an expression (symbolic) "This selection can perform some very basic symbolic integrals. It's best at integrating polynomials and trignonmetric functions." Calculus: Integrate "The integrate command can be used to find either indefinite or definite integrals."

54. Geometric Calculus R D Home Page Includes a brief introduction, articles and book chapters on the subject, as well as references to further information. http://modelingnts.la.asu.edu/

55. Dansmath - Lessons - Calculus 1 Features step by step lessons to introductory calculus. Included are function and precalculus preview pages. http://home.earthlink.net/~djbach/calc.html

dansmath lessons calculus 1 Limits Differential Calculus (Check out the ANIMATION!) Integral Calculus (updated 3/99) Vector Calculus (top of page) Limits (Sequences, functions, graphs) What do the numbers 1/1, 1/2, 1/3, 1/4, 1/5, . . . get closer and closer to? It may be clear that they approach zero, so we say the limit is 0. The nth term is 1/n, so the notation is lim 1/n = 0. (The -> means "approaches"; the oo is a cheesy infinity symbol.) f(x) = lim 1/x = 0. On the graph we'd have a horizontal asymptote at y = since the output values approach as the graph goes off to the right. (Click here to review functions or graphing.) Example 1: [x+3] = 6. Example 2: Let g(x) = (x^2 - 9) / (x - 3) . By algebra, we have g(x) = (x + 3)(x - 3) / (x - 3) and if x =/= 3 then we can cancel, so g(x) = x + 3 if x =/= 3. Notice that f(3) = 6 but g(3) is undefined. The f(x) from example 1 has domain "all real numbers," but the g(x) from example 2 has domain "all reals except 3," so they're different functions. But the limit as x -> 3 is the same in both cases: lim f(x) = lim Example 3: Some other interesting limits: lim [(sin x) / x] = 1 lim [(1 + x)^(1/x)] = e = 2.71828 approx

56. Calculus-Based Physics Free twovolume introductory physics textbook in pdf and editable format with ancillary materials including video solutions to physics problems, http://www.anselm.edu/internet/physics/cbphysics/

Calculus-Based Physics a Free Physics Textbook by Jeffrey W. Schnick , Ph.D. Physics Department Saint Anselm College cbPhysics Home Page 1st Semester Downloads ... What's New? This work is licensed under a Creative Commons License Specification of Manner of Attribution Home Page Calculus-Based Physics A Free Physics Textbook by Jeffrey W. Schnick Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students. Calculus-Based Physics is a free physics textbook. You are encouraged to copy, edit, use, and share the book itself and the ancillary materials posted to this web site in accord with the Creative Commons Attribution-ShareAlike 2.5 License Calculus-Based Physics is provided here 1st Semester Downloads and 2nd Semester Downloads in pdf and MS Word TM formats. Calculus-Based Physics is now available in hardcopy in the form of two black and white paperbacks at www.LuLu.com at the cost of production plus shipping. Note that Calculus-Based Physics is designed for easy photocopying. So, if you prefer to make your own hard copy, just print the pdf file and make as many copies as you need. While some color is used in the textbook, the text does not refer to colors so black and white hard copies are viable. I wrote Calculus-Based Physics in MS Word TM to make it easy for you to edit it. If the book looks useful to you, but some changes would make it more useful, please download the MS Word

57. Applied Calculus: Everything Covers a review of functions. Explains derivatives from the numerical, geometrical and algebraic aspects. Gives some examples of applications. http://people.hofstra.edu/Stefan_Waner/realWorld/tccalcp.html

Applied Calculus Stefan Waner and Steven R. Costenoble Table of Contents, On-Line Resources, Everything! Return to Main Page Everything for Finite Math Everything for Calculus Topic Summaries ... On-Line Utilities You can get back here from anywhere by pressing the "Everything for Calculus" link. Chapter 1 Functions and Models 1.1 Functions from the Numerical and Algebraic Viewpoints On-line tutorial for Section 1.1 1.2 Functions from the Graphical Viewpoint On-line tutorial for Section 1.2 1.3 Linear Functions On-line tutorial for Section 1.3 1.4 Linear Models On-line tutorial for Section 1.4 1.5 *Linear Regression On-line tutorial for Section 1.5 On-Line: New Functions from Old: Scaled and Shifted Functions On-Line: Fitting Functions to Data: Linear and Exponential Regression You're the Expert Modeling Spending on Internet Advertising On-Line Resources for Chapter 1 Chapter Summary Chapter True/False Quiz Chapter Review Exercises Chapter Excel Tutorials Math Tools for Chapter 1 Java Graphing Utility Excel Grapher Simple Regression Utility Free Mac Grapher Chapter 2 Nonlinear Models 2.1 Quadratic Functions and Models

58. Understanding Calculus Free online calculus ebook focusing on understanding concepts of functions, dimensions, graphs, derivatives, integration and applications. http://www.understandingcalculus.com/

Understanding Calculus Home Table of Contents Preface Chapter 1 ... Share page with friends! Your Name: Friend Emails: Your Email - optional: Understanding Calculus Understanding Calculus is a complete online introductory book that focuses on concepts. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving. The book has as much to do with Calculus as with Philosophy. My motivation in writing it was to prove to myself that I could understand a complex subject like Calculus by applying simple philosophical rules of logic and reason. I have now forgotten a lot of the Calculus, but what remains is that sense that anything can be understood. I know that sounds like a cliche but too much of the world is complicated by layers of evolution. If you understand how each layer is put down then you can begin to understand the complex systems that govern the world. I hope you find the book enlightening as the goal is to learn by understanding, not by memorizing. Please do not hesitate to contact me with your

59. Earliest Uses Of Symbols Of Calculus Gives background for notations that are commonly used like the integral and delta signs. http://hometown.aol.com/jeff570/calculus.html

htmlAdWH('93212816', '728', '90'); Main Earliest Uses of Symbols of Calculus Last revision: Dec. 1, 2004 Derivative. The symbols dx, dy, and dx/dy were introduced by Gottfried Wilhelm Leibniz (1646-1716) in a manuscript of November 11, 1675 (Cajori vol. 2, page 204). f'(x) for the first derivative, f''(x) for the second derivative, etc., were introduced by Joseph Louis Lagrange (1736-1813). In 1797 in Théorie des fonctions analytiques the symbols f'x and f''x are found; in the Oeuvres, Vol. X , "which purports to be a reprint of the 1806 edition, on p. 15, 17, one finds the corresponding parts given as f(x), f'(x), f''(x), f'''(x) " (Cajori vol. 2, page 207). In 1770 Joseph Louis Lagrange (1736-1813) wrote for in his memoir Nouvelle méthode pour résoudre les équations littérales par le moyen des séries Oeuvres, Vol. III In 1772 Lagrange wrote u' du dx and du u'dx in "Sur une nouvelle espèce de calcul relatif à la différentiation et à l'integration des quantités variables," Nouveaux Memoires de l'Academie royale des Sciences et Belles-Lettres de Berlin Oeuvres, Vol. III

60. Interactive Learning In Calculus And Differential Equations With Applications A classroom learning environment based on Mathematics notebooks. http://www.ma.iup.edu/projects/CalcDEMma/Summary.html

Interactive Learning in Calculus and Differential Equations with Applications Click on this picture for a description of how it was generated. The Mathematics Department at Indiana University of Pennsylvania (IUP) established a computerized learning environment, consisting of a classroom with 31 Macintosh Centris 650s and a laboratory with 12 Macintosh LCs, all equipped with Mathematica . Mathematica's notebook feature enables science students to actively learn calculus and differential equations with guided discovery and exploration. The project was funded through a National Science Foundation Instrumentation and Laboratory Improvement grant, number DUE-9351896. IUP's project has several significant attributes. The Mathematics Department is fully implementing this curriculum in all sections of its science calculus sequence and in the two-semester differential equations sequence. Eleven faculty, comprising approximately one third of IUP's mathematics faculty, are coinvestigators. The curricular revisions are being coordinated with the science departments at IUP, who are also integrating active learning and technology in their courses. This collaboration, based on common pedagogical goals and software, will bring more scientific applications into mathematics courses and strengthen the use of mathematics in science courses. All students in the Mathematics Department are involved. Mathematics and Applied Mathematics majors are required to take Differential Equations, and Mathematics Education majors have a unit devoted to the project in the teacher preparation course, Computers and Calculators in Secondary Mathematics.

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