61. The University Of Minnesota Calculus Initiative Offers calculus application examples for the mathematical properties of a rainbow, the fundamental theorem of calculus, methods of maximizing structural http://www.geom.uiuc.edu/locate/lab

Up: Course Materials The University of Minnesota Calculus Initiative The Geometry Center is assisting in the development of interactive technology-based modules for the engineering calculus sequence. These modules emphasize geometric concepts of calculus while examining applications of mathematics to the physical and life sciences. Rainbow Lab How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This lab helps to answer these and other questions by examining a mathematical model of light passing through a water droplet. Numerical Integration Lab The fundamental theorem of calculus tells us that if we know the rate of change of some quantity, then adding up (or integrating) the rate of change over some interval will give the total change in that quantity over the same interval. But often scientists do not know a formula for a function, but can only experimentally know the value of the function at discrete times. Is it possible to "integrate" this discrete data? If so, how? Beams, Bending, and Boundary Conditions Lab

62. 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

63. 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

64. 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.

65. Learning Calculus Welcome to the wonderful world of calculus. In order to help you get the most out of calculus, we have prepared the following to help you make better use of http://www.math.unl.edu/~shermiller2/calc/index.html

LEARNING CALCULUS Prepared by: Susan Hermiller, Melanie Martin, Eric York Welcome to the wonderful world of Calculus. In order to help you get the most out of Calculus, we have prepared the following to help you make better use of your study time and to make you aware of some of the resources available for help, if you need it. Some Initial Pointers: Calculus is likely to require that you make a substantial investment of TIME . Probably a minimum of three hours outside class for every hour you spend in class. Build this into your life. You should work on it some everyday, whether you have class or not and whether anything is due or not. One of the advantages of mathematics is that it can be done virtually anywhere, anytime. You can use time when you are in the shower or waiting in line to be thinking about problems or going over new concepts in class. One of the best ways to learn anything is to explain it to someone else. Working in groups is a good way to provide yourself with this opportunity. You can also amaze your friends with careful explanations of, say, all of the different interpretations of the concept of a derivative. Math is not a spectator sport. You will need to actively participate, roll up your sleeves and get that pencil moving. You will also need to move your brain. Expect to have to think about concepts and problems. Some of the problems you will encounter will teach you new techniques: like playing scales in a musical instrument, or running laps around a track. You might not see the point immediately, but they are strengthening you so everything will come together when it counts. Think of them as push-ups for the brain and practice them often. Some problems will require you to think hard and pull concepts together (at this point you will be glad you did your push-ups). Take some time with them, talk about them, take breaks if you are getting frustrated, ask for help if you are stuck, enjoy the process: you are learning.

66. Calculus Applets At SLU These following collection of applets are designed for use in calculus courses. Another page collects applets for courses below calculus. http://www.slu.edu/classes/maymk/MathApplets-SLU.html

Saint Louis University Department of Mathematics and Computer Science Math Applets for Calculus at SLU These following collection of applets are designed for use in calculus courses. Another page collects applets for courses below calculus . Some of the applets were developed at SLU and some have been developed elsewhere and are included by permission. If you would like to host the applets locally, please contact Mike May, S.J. Applets for single variable calculus Preliminary material Graphers ... Integration in vector fields Applets for single variable calculus Preliminary material When working through the understanding of various kinds of functions it is useful to be able to graph a function with parameters a, b, and c, in the definition of the function, with the parameters controlled by sliders. Moving the sliders lets the student explore families of functions. The Families of Functions Applet is a GeoGebra applet for looking at the graph of such a family. Similarly, the Family of Graphs Applet is a JCM applet designed to look at families of functions.

67. Mrs. Roberts' Calculus Page online lessons pertaining to the general concepts of calculus. visual explanations of calculus topics using Flash and Java (Nice site!) http://mrsroberts.com/MrsRoberts/Calculus/calculus.htm

Mrs. Roberts' Calculus Class information . . . Links to Calculus Materials and Resources Beginning Differentiation Formulas On-Line Lessons for Calculus Calculus - SOS Mathematics on-line lessons pertaining to the general concepts of calculus. Cyber Calc Tutorial on-line lessons and tutorials for calculus. Karl's Calculus Tutor on-line lessons and tutorials for calculus. Links to Interactive Calculus Materials Visual Calculus visual explanations of calculus topics using Flash and Java (Nice site!) (requires free plug-in Flash Topics in Integral and Differential Calculus lessons with interactive applications Calculus-Help.com Calculus tutorials and other goodies (with a sense of humor) Graphics for the Calculus Classroom java applets demonstrate numerous calculus topics Gallery Maths On-Line interactive java applets on numerous mathematical topics including calculus Links to Topic Information, Notes, and Tutorials

68. Trig Calculus Click to select, calculus, Derivatives, calculus, Integration, calculus, Quotient Rule, Coins, Counting, Combinations, Finding all, Complex Numbers, http://www.webmath.com/index6.html

Home Visit Cosmeo Click here for explanations to the problems in your math textbook. Home Math for everyone General Math ... Geometry Calculus Other Stuff Trigonometry Trigonometric Expressions Right Triangles Solved Trigonometric Identities Other Trig. Problems Calculus Derivatives Quotient Rule Integration Quick! I need help with: Click to select Calculus, Derivatives Calculus, Integration Calculus, Quotient Rule Coins, Counting Combinations, Finding all Complex Numbers, Adding of Complex Numbers, Calculating with Complex Numbers, Multiplying Complex Numbers, Powers of Complex Numbers, Subtracting Conversion, Area Conversion, Lengths Conversion, Mass Conversion, Power Conversion, Speed Conversion, Temperatures Conversion, Volume Data Analysis, Finding the Average Data Analysis, Finding the Standard Deviation Data Analysis, Histograms Decimals, Convert to a fraction Electricity, Cost of Factoring, Integers Factors, Greatest Common Factors, Least Common Fractions, Adding Fractions, Comparing Fractions, Converting Fractions, Convert to a decimal Fractions, Dividing

69. Refinement Calculus The refinement calculus is a formalisation of the stepwise refinement method of program construction. The required behaviour of the program is specified as http://www.ecs.soton.ac.uk/~mjb/refcalc-tut/home.html

Refinement Calculus Tutorial The refinement calculus is a formalisation of the stepwise refinement method of program construction. The required behaviour of the program is specified as an abstract, possibly non-executable, program which is then refined by a series of correctness-preserving transformations into an efficient, executable program. We give an introduction to the application of the refinement calculus by using it to derive a few example programs. You may need to take a quick look at the Logical Notation and Mathematical Notation used in this tutorial, before going on to the Specification and Programming Notation Note that the specification notation used here is closer to the style of Back and Morris , rather than that of Morgan , though the differences are minor. In the refinement calculus, specifications are written as abstract programs usually in the form of specification statements. For example, a program that assigns x an arbitrary element from set S , provided S is not empty, may be specified as: We write to say that program is refined by program . This means that is a correct implementation of . Since refinement is transitive, a refinement step can always be broken up into a number of smaller steps, i.e.

70. Calculus Preparation Home Page Features general information of what calculus is and how it is applied. Includes a discussion of what kind of math background is needed to take college http://cs.smu.ca/apics/calculus/welcome.php

Preparing for University Calculus at Atlantic Canadian Universities Are you going to enrol in an Atlantic region university this year? Are you planning to take science courses? Then there is a good chance that you will have to pass a course in calculus as a requirement for your degree or a prerequisite for other courses. This page is here to help you prepare for that calculus course, enjoy it, and do well in it. Contents What math will I need in university? What is calculus? Why is calculus important? What background will I need? ... They want to take away my calculator! Get the booklet "Preparing for University Calculus" Note: This is available online in three forms. For each one you will need the associated viewer! These can be downloaded free of charge. Find out more about the booklet here Get the booklet in PostScript format Get the booklet in PDF format Lire cette page Read the PS version with GhostView . You will need to run Ghostview once after installation, to configure it, before viewing booklet! To read PDF files

71. Mr. Calculus NOTE Ask Mr calculus now is at a new web site. Please click the link to be redirected to the Ask Mr. calculus web site. Thanks http://users.adelphia.net/~sismondo/

Ask Mr. Calculus NOTE: Ask Mr Calculus now is at a new web site. Please adjust your bookmarks. The new site is http://homepages.roadrunner.com/askmrcalculus/index.html Please click the link to be redirected to the Ask Mr. Calculus web site. Thanks

72. 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 Fractional Calculus Analytic Functions, The Magnus Effect, and Wings Fourier Transforms and Uncertainty ... Math Pages Main Menu

73. Calculus Applets These pages present interactive Java applets for teaching and learning single variable calculus. They use graphs and tables to illustrate concepts in http://www.calculusapplets.com/

Calculus Applets Prev Home Next Introduction to Calculus Applets These pages present interactive Java applets for teaching and learning single variable calculus. They use graphs and tables to illustrate concepts in calculus and allow the user to dynamically change the functions involved or the point on the graph that is of interest. These pages can be explored by students learning calculus, or used by teachers while teaching calculus, and are geared to the topics covered in AB and BC Advanced Placement Calculus. Each applet comes in a version shown on a web page, suitable for viewing in a browser window, and also as a separate resizeable window with larger fonts and line widths, suitable for projection on a screen. Note that this set of pages is not a complete text for calculus, but is intended to supplement a standard textbook or web site. I have used Calculus by Hughes-Hallett, Gleason, McCallum, et al. in my teaching, and I also like by Michael Kelley. See Compatibility, Downloading, and Modifying for more information on computer/OS/browser compatibility, downloading the entire web site, and modifying the web pages. Send comments, questions, and feedback to Using the Graphing Tools Introduction to using the applets Limitations of Graphing Software Continuity and Limits An Informal, Graphical View of Continuity

74. Mr. Calculus Mr. calculus is available to give you hints on your calculus/mathematics questions. Contains links to AP resources, tables for derivatives, logarithms, http://homepages.roadrunner.com/askmrcalculus/index.html

Ask Mr. Calculus Quick clicks to Mr. Calculus page 2007 answers to free response AP questions 2006 answers to free response AP questions 2005 answers to free response AP questions 2004 answers to free response AP questions ... Who is Mr. Calculus? Mr. Calculus is available to give you hints on your calculus/mathematics questions. Click "Ask Mr. Calculus" The Mr. Calculus page can provide further resources for you to find assistance! Look further down the page or go to the links pages. Click here to see the solutions to the 2007 AP Free Response questions [including Form B ] e-mail your corrections or suggestions by clicking here. Click here to see the solutions to the 2006 AP Free Response questions [including Form B ] e-mail your corrections or suggestions by clicking here. Click here to see the solutions to the 2005 AP Free Response questions [including Form B ] e-mail your corrections or suggestions by clicking here. Click here to see the solutions to the 2004 AP Free Response questions [including Form B ] e-mail your corrections or suggestions by clicking here.

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

baselang='Calculus.en'; 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'); 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 DiracDelta Normalize ... Orthogonalize normalize, orthogonalize families of functions NIntegrate NDSolve NMinimize NSum TUTORIALS Limits Finding Limits Differentiation Integration ... Sums and Products MORE ABOUT Series Expansions Vector Analysis Package Mathematical Notation Variational Methods Package ... New in 6.0: Symbolic Computation

76. Dr. Vogel's Gallery Of Calculus Pathologies Discusses instances of functions that are more difficult to apply calculus formulas to. Examples that are included are discontinuous functions and functions http://www.math.tamu.edu/~tvogel/gallery/gallery.html

Next: Introduction Dr. Vogel's Gallery of Calculus Pathologies Thomas I. Vogel Introduction First semester calculus A function which is continuous at only one point. ... About this document ... Tom Vogel Mon May 5 12:53:33 CDT 1997

77. Calculus Refresher - Mathcentre calculus Refresher. mathcentre logo Students, , Staff, , Search, , News, , Links, , About Us, , Contact Us. more information http://www.mathcentre.ac.uk/resources.php/1

Calculus Refresher Students Staff Search News ... Contact Us more information About Us Contact Us The mathcentre Team News ... Mailing List options open in a new window information file: final0502-calc-ref-ukmlsc.pdf size: 0.39 Mb (requires Acrobat Reader rating 5 out of 5 rated by 1211 users Rate this resource

78. `The Calculus Of Logic' By George Boole Seminal paper of 1848 available in various formats. http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/

`The Calculus of Logic' by George Boole The Calculus of Logic by George Boole, first published in The Cambridge and Dublin Mathematical Journal , vol. 3 (1848), is available here in the following formats: HTML (with inlined images) PDF LaTeX DVI PostScript (US Letter size) ... PostScript (A4 size) Links: George Boole (1815-1864) The History of Mathematics D.R. Wilkins dwilkins@maths.tcd.ie ... Trinity College, Dublin

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