Search over 100,000 research quality URLs

StudySphere provides fast, easy and free access to a wide variety of research-quality child-safe websites organized for education online from home, school, study abroad and home school. StudySphere’s goal is to help students, teachers, librarians, and other researchers find both highly targeted and closely related information quickly. General Resources

/Home/Mathematics/Calculus & Trigonometry/General Resources Calculus Study Resources Votes:0 Study Resources for Calculus Students Some review problems for Calculus I with discussions and solutions. A Calculus IV at OU Resource Page . Among other things this page links to some information on ways of using the powerful computer software package MATHEMATICA in studying calculus concepts. MATHEMATICA is available for student use in the College of Arts & Sciences Computer Labs which are scattered around the campus. (To include here--link to another page where we can put internet links to some of the most extensive and some of our favorite internet calculus links.) (Perhaps at least mention that many old and/or sample calculus exams can be found at the web pages of various faculty members in the department.) --> [ undergraduate study | graduate study | course information | colloquia &# Read More Go to Site calculus.org - THE CALCULUS PAGE . Votes:0 calculus.org - THE CALCULUS PAGE . 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 ser Read More Go to Site CyberCalc Index Votes:0 CyberCalc Index Chapter 1: Review of Needed Topics 1.1 Graphing with Coordinates in the Plane 1.2 Slope and Line Equations 1.3 Functions and Graphs 1.4 Trigonometry Review 1.5 Absolute Value Chapter 2: Limits and Continuity 2.1 Limits 2.2 Limits at Infinity 2.3 A Trigonometric Limit 2.4 Continuous Functions 2.5 Formal Definition of Limits Chapter 3: Derivatives 3.1 Tangent Lines and The Derivative 3.2 Rules of Differentiation 3.3 Rates of Change 3.4 Derivatives of Trigonometric Functions 3.5 The Chain Rule 3.6 Implicit Differentiation Michele Williams, Saint Michael's College, mx_williams@smcvax.smcvt.edu, also williams@npac.syr.edu T. J. Willis, twillis@npac.syr.edu Ed Bogucz, bogucz@npac.syr.edu Read More Go to Site Lee Lady: Topics in Calculus Votes:0 Topics in Calculus Lee Lady A Conceptual Approach to Applications of Integration The Derivatives of the Sine and Cosine Functions Max-min Problems Max-min Problems for Two Variables Definition of the Logarithm Function What the Hell Is a Differential? Exponential Growth and Decay Convergence of Infinite Series Interpolation and Numerical Integration Discontinuities in One and Several Variables Curvature Normal and Tangential Components of Acceleration Derivation of Kepler's Second Law The Potential Function of a Vector Field Green's Theorem Divergence and Curl Survey of First-order Differential Equations The series solution of a Differential Equation Review Problems for Differential Equations In my opinion, calculus is one of the major intellectual achievements of Western civilization --- Read More Go to Site nrich.maths.org :: Mathematics Enrichment :: Maths Finder Votes:0 Skip over navigation About | Contact | Newsletter | Accessibility | News and events Home This month Stage 1 & 2 Stage 2 & 3 Stage 3 & 4 Stage 4 & 5 Curriculum Mapping Packages Articles Maths finder Weekly problem Courses Ask NRICH Thesaurus Help past issues 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Choose a theme Jungle Ice Maths Finder Find articles and problems on the site Find articles and problems on the site by choosing curriculum topics. Each problem page displayed gives a list of similar problems and a list of topics to help you find more. Alternatively see our previous monthly themes . 1. Choose a broad topic or search for a topic by name: Broad topic Resources available Using, Applying and Reasoning about Mathe Read More Go to Site 1. Introduction to Calculus, A preview Votes:0 www.whyslopes.com read math-free logic chapters 1 to 5 for better work & study skills (English/ Fran?ais ) for amusement, for greater precision in reading & writing; and fewer communication & learning difficulties. Volume 3, Why Slopes and More Math A reference for learning and teaching Differential and Integral Calculus to make the hard, easier included Units in Calculations, Logs & Exponentials at the senior high school or first year college I level || D?finition d'une variable || Alg?bre || Arithmetique || Logique || 1. Introduction [ Back ] [ Advice & Directions ] [ Next ] OnlineVolumes 1, Elements of Reason. -with foreword for all volumes 1A. Pattern Based Reason - striving for objectivity, etc 1B. Math Curriculum Notes inductive principles etc 2. Three Skills for Algebra - unifying t Read More Go to Site Advanced Calculus and AnalysisMA1002 Votes:0 Next: Foreword Up: MA2001 Home Page &nbsp Contents &nbsp Index Advanced Calculus and Analysis MA1002 Ian Craw Foreword These Notes Acknowledgements Contents List of Figures Introduction. The Need for Good Foundations The Real Numbers Properties of Inequalities Intervals Functions Neighbourhoods Absolute Value The Binomial Theorem and other Algebra Sequences Definition and Examples Examples of sequences Direct Consequences Sums, Products and Quotients Squeezing Bounded sequences Infinite Limits Monotone Convergence Three Hard Examples Boundedness Again Monotone Convergence The Fibonacci Sequence Limits and Continuity Classes of functions Limits and Continuity One sided limits Results giving Coninuity Infinite limits Continuity on a Closed Interval Differentiability Definition and Basic Prop Read More Go to Site Algebra Tutorials! Votes:0 We will do your Math! HOME algebra 2 exponential functions 4 powers 3 linear equations 7 simple trinomials products binomials 4 adding fractions unlike denominators 1 laws exponents dividing monomials 1 solving equations 15 multiplying polynomials 7 multiplying dividing rational expressions 4 algebra 2 solving systems linear inequalities 3 mixed numbers notation 1 linear equations inequalities one variable 1 quadratic formula 3 fractions decimals 2 algebra 2 graphing logarithmic functions 1 multiplying numbers 13 Welcome to your top math software site! Excuse our construction We will be up and fully running within a week... However, RIGHT NOW we have a fantastic deal on AlgebraSolver software : For a limited time you can get this incredible software for $19.99 (normally priced $74.99 at al Read More Go to Site An Introduction to Lambda Calculus and Scheme Votes:0 $Id: lambda.html,v 1.2 2001/02/01 01:43:43 jim Exp jim $ An Introduction to Lambda Calculus and Scheme Jim Larson 1996-07-26 This talk was given at the JPL Section 312 Programming Lunchtime Seminar. Functions and Lambda Notation A function accepts input and produces an output. Suppose we have a "chocolate-covering" function that produces the following outputs for the corresponding inputs: peanuts -> chocolate-covered peanuts rasins -> chocolate-covered rasins ants -> chocolate-covered ants We can use Lambda-calculus to describe such a function: Lx.chocolate-covered x This is called a lambda-expression. (Here the "L" is supposed to be a lowercase Greek "lambda" character). If we want to apply the function to an argument, we use the following syntax: (Lx.chocolate-covered x)peanuts -> chocol Read More Go to Site An Introduction to Stochastic Differential Equations Votes:0 An Introduction to Stochastic Differential Equations Consider the (vector) ordinary differential equation: Now we suppose that the system has a random component, , added to it, The solution to this random differential equation is problematic because the presence of randomness prevents the system from having bounded measure. The result is that the derivative does not exist. One way to deal with equations such as (2), is to look at them in differential form, The solution to (2) or equivalently (3) or (4) can be regarded as the result of performing the integration, This definition of the solution to the stochastic differential equation (4) is consistent if we use the following for the chain rule: This equation is known as (the one dimensional) Itô's formula . This can be written in highe Read More Go to Site An Introduction to the Gauge Integral Votes:0 Abstract. This page gives an introduction to the gauge integral (also known as the Henstock, Kurzweil, or generalized Riemann integral), and compares it with the Riemann and Lebesgue integrals. Browser requirements. This web page uses gif images ( ), underlines , and super scripts and sub scripts, so it requires Netscape 3, Explorer 2, or later browsers. An Introduction to The Gauge Integral also known as the generalized Riemann integral, the Henstock integral, the Kurzweil integral, the Henstock-Kurzweil integral, the HK-integral, the Denjoy-Perron integral, etc. by Eric Schechter , version of 13 July 2005. Your comments are invited. Historical and Bibliographical Overview Integrals and derivatives were already known before Newton and Leibniz. Those two mathematicians are generally credit Read More Go to Site Analysis WebNotes: Contents Page Votes:0 Index of Chapters First Semester Introduction Real Numbers Beginning Limits Differentiable and Continuous Functions on R Metric Spaces (Further Limits) Compact Sets Second Semester Special Functions Integration Uniform Convergence Countable and Uncountable Sets Construction of the Real Number System Chapter 1: Introduction Mathematical rigor and standards of proof The need for axioms Chapter 2: Real Numbers Inequalities, and algebra involving inequalities Properties of Ordered Sets Bounded sets The least upper bound (supremum) of a set The Least Upper Bound Property The axioms of the real numbers Basic facts about the real numbers: The Archimedean Property Density of the rationals in the reals Irrational numbers The greatest lower bound of a set The absolute value function Open sets of rea Read More Go to Site AP Central - Welcome to AP Central Votes:0 Jump to page content Jump to navigation For Students | For Parents | For Professionals College Board About Us | Store | Help | My Account | En Espanol Education Policy & Advocacy Membership Testing Basics College Guidance K–12 Services Higher Ed Services Professional Development Data, Reports & Research AP Central Notice Some material previously featured on AP Central has moved to our new website for education professionals. Below are the new locations of some of the key pages that have moved. The AP Program K-12 Services Planning Your AP Program Achieving Equity AP Scholar Awards AP International Exam Information for AP Coordinators Testing Basics: AP Exam Dates Coordinating the Exam Fees & Fee Reductions Higher Education Higher Ed: AP Program Credit & Placement Policy Course & Exam Read More Go to Site Applications of Fractional Calculus Votes:0 Next: Fractional Time Evolutions Up: Scientific Report Previous: General Statistical Physics &nbsp Contents Applications of Fractional Calculus The idea of generalizing the concepts of differentiation and integration to noninteger (fractional) orders has a long mathematical history. It was first discussed in the correspondence of G.W. Leibniz around 1690. Over the centuries many famous mathematicians including Euler, Riemann, Liouville and Weyl have built up a body of mathematical knowledge on fractional integrals and derivatives that is known nowadays under the name of fractional calculus. About a decade ago we noticed the possibility to employ fractional calculus in statistical physics. More precisely, Ehrenfests classification of equilibrium phase transitions was generalized using fract Read More Go to Site Archive of Reform Calculus Resources Votes:0 Copyright Policy Reform Calculus Resources Compiled * by Harel Barzilai . As featured on UTK Math Archives and CollegeBoard.com's APCentral (* and authored, where not otherwise noted) - Activities - - Projects - - Capsules - - Resources - [See also College Algebra Resources (in preparation)] [And Black Mathematicians website] Enter your search terms Submit search form Web archives.math.utk.edu maa.org barzilai.org Listings indexed by section in Calculus: Concepts and Contexts by James Stewart. If there is enough interest, I will create other indexes. Planned: on-the-fly indexes by keyword. In-Class Activities (Stewart 0.0) Graph Your Story A Week in the Life of Sue Estimating the Mile Record [ Guidelines and Solutions ] (Preview of Calculus)(Functions) (Stewart 1.1) Estimating the Mile Rec Read More Go to Site Barry Spieler's Calculus Projects Votes:0 Barry Spieler's Calculus Projects Crash Course in Calculus -- Two airplanes' paths cross. How dangerous is the situation? Tunnel Vision -- The deeper the tunnel gets, the more expensive it is to dig further. How much will it cost all together? Roses are Violet -- How much ink does it take to fill in a polar rose curve? Space Emergency -- Can you aim your weapon to hit a moving target in 3-space? Back to Barry Spieler's Home Page bspieler@bsc.edu Read More Go to Site Best Practices in Technology Votes:0 Best Practices in Technology Read More Go to Site Calc III Lab Home Page Votes:0 Up: Course Materials from the Geometry Center Calc III Labs These labs were created in the Spring of 1995 by high school students participating in the University of Minnesota Talented Youth Mathematics Program (UMTYMP). The course used hypertext labs and technology-based explorations on a weekly basis, in order to better communicate the geometry of multivariate mathematics. The course was designed and taught by Geometry Center postdocs Davide P. Cervone and Frederick J. Wicklin . As a final project for the class, students worked in groups to explore theoretical topics in mathematicas or the application of mathematics to modeling real-world phenomenon. Several groups of students created labs as part of their project; we have linked in a few of them here. When you view these documents, pleas Read More Go to Site Calc101.com Automatic Calculus, Linear Algebra, and Polynomials Votes:0 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 | fran?ais | espa?ol | Deutsch easy-to-use, live, TRY IT: derivatives integrals graphs partial Read More Go to Site Calculator City: A Web Resource for Mathematics:Algebra, Geometry, Trigonometry, Calculus, Finance, MeasurementConverters Science: Chemistry, Physics, Astronomy Votes:0 To search all of www.1728.com, enter your search terms here then press "Enter" on your keyboard. 1728 Software Systems Calculator City &#160 Converters and calculators for &#160 Finance &#160 Geometry &#160 Algebra &#160 Trigonometry &#160 Calculus &#160 Astronomy &#160 Chemistry &#160 Physics &#160 Basic Math &#160 Miscellaneous Calculators &#160 Ultra Calculators Website Design Tools Color Selectors, Font Lists, Font Symbols, Special Characters, HTML Tutorials, HTML Character Entities, etc. Click Here Reference City Facts about: The 50 United States, U S Presidents, U S Constitutional Amendments, Oscar Winners, Wonders of The World, Chemical Elements, Morse Code, The 37 Plays of Shakespeare, Country Abbreviations, Greek Alphabet Click Here for Index Miscellaneous Stuff Puzzles, Games, Sc Read More Go to Site CALCULUS Votes:0 SOUTHWESTERN UNIVERSITY CALCULUS HOME PAGE CALCULUS I Labs CALCULUS Fact Sheets Mathematica Notebooks Go to Math and CS Department Home Page Read More Go to Site Calculus Votes:0 THE DEVELOPMENT OF CALCULUS Introduction Calculus: History of Calculus (Summary) The beginnings of Integration The beginnings of Differentiation Presentation ASSESSMENT Introduction History of Mathematics Module Links to other History of Mathematics sites [ Comments ] [ Module Leader ] These pages are maintained by M.I.Woodcock. Read More Go to Site Calculus Votes:0 Enter query INTERMATH Home Curriculum Interdisciplinary Institutions Activities Products Topics Discrete Systems Calculus Prob and Stats DEs Linear Algebra Develop your own Course Related Links Project INTERMATH Topics - Calculus The goal of these problems is to Use the concepts of continuous change and accumulation to solve applied problems. Model changing behavior with differential equations. Use and relate the symbolic, graphic, numeric, and word representations of behaviors, functions, and models. Use technology appropriately to gain insight into a solution of a problem. Appreciate the relevance of continuous mathematics in problem solving by investigating interdisciplinary application problems and presenting results. Throwing a Baseball Shooting an Arrow Bungee Jumping Determining the Read More Go to Site Calculus Votes:0 habelmath@habelmath.com http://www.freewebs.com/habelmath/habelmathadmissiontest.htm Algebra NEW! Click here for the Messages of the Late Pastor T. U. Thomas. Wonderful soccerball (click) numbers NEW TESTAMENT CHURCH Houston Click for Bible Study New!!! A detailed study of Psalm91 Sunday 9/23/07 Pastor Genesis 24:20, Acts 9:6, colo 4:17 I must work the work of him that sent me. Ps 104:33, Ps 63:4 I will sing praise to my God while I have my being. I will sing to the Lord as long as I live. Wednesday 09/12/07 Pastor reminded again Hebrews 5:7 (Who in the days....) Memory verse for the week-2. Corinthians 10:4-5. and 2.Timothy 1:7. NEW 10 Reasons why we could be dead in our spiritual life Pastor Wesley/Houston/07/13/'07 Adult Sunday School By Rev. Dr. Habel Mathewkutty NEW Soccer Ball number Read More Go to Site calculus — Infoplease.com Votes:0 Site Map | FAQ in All Infoplease Almanacs • General • Entertainment • Sports Biographies Dictionary Encyclopedia Spelling Checker Daily Almanac for Nov 23, 2007 Search White Pages Skip Navigation Home Almanacs Atlas Encyclopedia Dictionary Thesaurus Features Quizzes Timelines Countries American Indian Heritage Month World & News United States History & Gov't Biography Sports Arts & Ent. Business Society & Culture Health & Science Homework Center Fact Monster Kid's reference, games, quizzes Daily Almanac This Day in History Today's Birthday Word of the Day Editor's Favorites American Indian Heritage Month Thanksgiving Advent Hanukkah Pearl Harbor Day Campaign 2008 Pakistan Country Profile Iraq Timeline Presidential Factfile NFL Team Profiles Daylight Saving Time 2007 Current Read More Go to Site Calculus - Wikipedia, the free encyclopedia Votes:0 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 Tensor calculus Mean value theorem Differentiation Product rule Quotient rule Chain rule Implicit differentiation Taylor's theorem Related rates Table of derivatives Integration Lists of integrals Improper integrals Integration by : parts , disks , cylindrical shells , substitution , trigonometric substitution 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 Read More Go to Site Calculus -- from Wolfram MathWorld Votes:0 Search Site Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index Interactive Entries Random Entry New in MathWorld MathWorld Classroom About MathWorld Contribute an Entry --> Send a Message to the Team Order book from Amazon 12,720 entries Tue Oct 23 2007 Calculus and Analysis Calculus Continuity (25) Differential Calculus (44) Differential Equations@ Fractional Calculus (9) General Calculus (3) Increasing and Decreasing (8) Integrals (2) Limits (23) Maxima and Minima (36) Mean-Value Theorems (8) Multivariable Calculus (12) Read More Go to Site Calculus Activities Votes:0 Interactive Calculus Activities Caution: These pages may or may not work on your system, due to changes in LiveMath requirements. These web pages are designed for use with instructions or worksheets provided by your instructor. However, others may also enjoy experimenting with the mathematics in these pages. Translations and Reflections The Power Rule The Product Rule The Quotient Rule The Chain Rule The Fundamental Theorem Graphing a Function of 2 Variables Click here for information about the plug-in needed to use these activities. Information for Instructors Carl Spitznagel's home page Read More Go to Site Calculus and Mathematica at UIUC Votes:0 About C&M Home What is C&M? 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 Moodle Links Netmath OSU Program Wolfram MathEverywhere Actions Log In --> News and Announcements: NetMath Mentors Needed If you've taken C&M classes before and would be interested in working with us, please apply . Fall Netmath mentors are needed. Lab Hours Fall 2006 semester hours for lab in 239 Altgeld may be found here . Mathematica News Mathematica for students through CITES 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 8/26/07 at which time it needs to be renewed. It will be renewed mo Read More Go to Site Calculus Animations with Mathcad Votes:0 Calculus Animations with Mathcad by Przemyslaw Bogacki and Gordon Melrose Contents Limits Slope vs. Derivative Arc Length Infinite Series Conic Sections , Definition of Ellipse , Reflective Properties Cycloids and more... Area Inside a Parametric Curve Polar Curves 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 deri Read More Go to Site Calculus Essay Votes:0 The Nature of Calculus Calculus is the branch of mathematics that deals with change and rates of change. The physical world can be modelled using mathematical functions. However, objects do not always move at constant speeds, plants do not always grow at the same rate, and astronomical objects are continually changing their velocities. Hence, functions that mimic the behaviour of the physical world do not change at constant rates over a given domain. Since calculus deals with functions which change, the study of calculus begins with the derivative. A derivative is the rate of change of a function and it is considered to be a line that runs tangent to some point along the graph of a function as in fig. a. In order to understand how a function is changing at any point the concept of derivati Read More Go to Site CALCULUS FOR STATICS Votes:0 CALCULUS Areas of Focus: Differentiation Maximization and minimization Partial derivatives Integration Integration over a line Double integrals Integration over an area Centroid of an area Integrating differential equations Differentiation: The derivative of a function is a measure of how the function changes as a result of a change in the value of its argument. Given the function f ( x ), the derivative of f with respect to x is written as or as , and is defined by As shown in the figure, the derivative of the function f ( x ) at point x gives the slope of the function at x in terms of the ratio of the rise divided by the run for the line AB that is tangent to the curve at point x . The derivative of the function f ( x ) is also sometimes written as f ' ( x ). As shown in the figure, one Read More Go to Site Calculus graphics -- Douglas N. Arnold Votes:0 (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 usua Read More Go to Site Calculus graphics -- Douglas N. Arnold Votes:0 (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 usua Read More Go to Site Calculus history Votes:0 " +" " + mess + " Read More Go to Site Calculus history Votes:0 " +" " + mess + " Read More Go to Site Calculus II Votes:0 Calculus II fall 2006 course description fall 2006 syllabus Mathematica files instructions for the TI-83 study tips notes on final exam Calculus is usually a major change for math students. This is appropriate, because calculus is the study of change: slope, velocity, growth rate, and other ways that we describe how one quantity changes with respect to another. Calculus is also perceived as difficult, and historically, for the scientific community, it was. It took about 300 years of concentrated effort to develop calculus as a usable and well-founded discipline! Fortunately for modern students, we have the benefit of our elders' wisdom. We have their well-laid-out road map, carefully ordered, to lead us gradually toward a grasp of the subject. Many people contributed to the development of Read More Go to Site Calculus II Labs by Robin Sue Sanders Votes:0 Calculus Labs Here are some links to files on math.buffalostate.edu for Math 164: Been There, Done That is a student survival guide for the Math Dept. Mac lab. List of calculus II notebooks. To use these notebooks you'll need to have Mathematica installed on your computer. You should download the Style Sheet as well as the notebooks. Name the Style Sheet ACStyles.nb and put it in the same directory (folder) as the notebooks. On some platforms, you may have to manually change the style file of the notebooks. If you don't have Mathematica installed on your computer, but you'd like to look at the notebooks, you can download MathReader for free from Wolfram Research, Inc. MathReader is available for both Macs and Windows machines. MathReader will NOT allow you to actiavate the cells and genera Read More Go to Site Calculus Lecture Notes Votes:0 Next: Contents Calculus Lecture Notes Eric S. Key Contents An introduction to calculus Constant functions Linear functions Factoring differences of powers Squaring functions Cubing functions The general case The fundamental theorem of calculus The rates of change of some other functions Some extensions of our results Positive rational powers More on rates of change Rates of change of sums Two applications What do we mean by ``approaching''? The funnelling theorem: Formalizing the concept of ``approaching'' Constant functions: Linear functions Quadratic functions The sum of two functions Other properties An abuse of notation and terminology Homework, due 1/28: Infinity Continuity More rates of change for familiar functions The tangent function Negative integer powers Rates of change for inv Read More Go to Site calculus lecture notes Votes:0 Calculus Lecture Notes This page is under construction. Note: This set of lecture notes is prepared basing mainly on the content of the course Math 249 Introductory Calculus offered by the Department of Mathematics and Statistics at the University of Calgary, Calgary, Alberta, Canada. It is not assumed that the students have any previous exposure to Calculus. However, I need to say that these notes exhibit some personality. They are my notes, and do not necessarily represent the way other instructors of the same course actually do or would do. Parts of them are similar to but not the same as the notes I give my students in class. They are meant to be helps on the side. They are supplements, and in many places they must seem unnecessarily detailed to most readers. One feature is that they c Read More Go to Site Calculus Made Easier: A Calculus Tutorial Votes:0 Calculus Made Easier by Angela Olson Earth Image by NASA Math Graphics by Douglas N.Arnold at http://www.math.psu.edu/dna/graphics.html Index Introduction The Derivative Integration Helpful Links And Resources There are two components to calculus. One is the measure the rate of change at any given point on a curve. This rate of change is called the derivative. The simplest example of a rate of change of a function is the slope of a line. We take this one step further to get the rate of change at a point on a line. The other part of calculus is used to measure the exact area under a curve. This is called the integral. If you wanted to find the area of a semicircle, you could use integration to get the answer. The two parts; the derivative and the integral are inverse functions of each other Read More Go to Site CALCULUS REFORM AT OSU Votes:0 OSU Calculus Reform Page The Mathematics Department has been involved in calculus reform since the Fall 1992 semester. We began using the materials written by the Consortium based at Harvard [1] [2] , and recently began using the Ostebee Zorn calculus texts [4] [5] . We have done a great deal of research comparing the Harvard course to a traditional course (using Larson Hostetler [3] ), and some research comparing the Harvard Multivariable book [2] to the Ostebee Zorn texts [4] [5] . The two report s below summarize our research. Note: Calculus at OSU is taught in two five hour courses. The first course covers basic integration and differentiation topics, while the second course covers sequences, series, and multivariable calculus. Harvard Calculus Report 2 Format/Size: Postscript file / 1 Read More Go to Site Calculus Review Material Votes:0 Precalculus & Calculus Review Material Professor Marcia Birken Rochester Institute of Technology Textbook Used as Reference: Precalculus, 5th Edition by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen, McGraw-Hill, 2001 Calculus Concepts & Contexts, 2nd Edition by James Stewart, Brooks/Cole-Thompson Learning, 2001 Calculus, 4th Edition by James Stewart, Brooks/Cole-ITP, 1999 Precalculus Topics Calculus Topics Subject Textbook Web Material Absolute Value Appendix A ; Appendix A; Appendix A Inequalities Chapter 1; Appendix A; Appendix A Exponents & Radicals Laws of Exponents Conversion between Exponents & Radicals Functions Description Table Graphing Formula Chapter 1; Chapter 1; Section 1.1 Graphing Linear Quadratic Shifting & Scaling Graphing Calculator Chapter 1; Chapter 1; Appe Read More Go to Site Calculus Solutions Votes:0 Calculus Solutions Sorry, this document can be viewed only with a frames capable browser. Nonframes version: Read More Go to Site Calculus Timeline Votes:0 Calculus Timeline Person Date Mathematical Discovery Pythagoras -5** discovered irrationals like square root of 2 Archimedes -2** various volumes and surface areas (parabola, cone, sphere) center of gravity, integration by exhaustion Thabit ibn-Qurra 8** integral of square root of x al-Biruni 10** instantaneous velocity and acceleration Grégorie de St Vincent 1620 limit notion, area of hyperbola Cavalieri 1630 axioms for area Fermat 1630 minima & maxima Napier, Sarasa 1610, 1640 log Wallis 1650 series Pascal 1650 integrals of polynomials Leibniz & Newton 1670 infinitesimal calculus Bernoulli 1680 differential equations L'Hospital 1690 L'Hospital's rule for finding limits Rolles 1690 Mean Value Theorem for derivative Taylor 1710-40 Taylor series (infinite polynomials) Euler 1750 curvat Read More Go to Site Calculus-Help.com Problem of the Week Votes:0 Alphabetical Index by Topic Archived Years of Problems with Solutions: 2003 2002 2001 2000 1999 1998 The Problem of the Week is on hiatus for the remainder of the 2003-2004 school year. Don't be sad. This just means that we at Calculus-Help.com are just refocusing our efforts, and plan on releasing more Tutorials for the Calculus Phobe with all the time we're saving. You can, as always, search and use our vast archive of former problems (and their complete solutions) by clicking the year links at left. Above those year links, you'll also find a link that takes you to any problem based on its subject. Finally, you can also use the search box below to find specific problem types. Search for Specific Problem Types in the Archive: Home Problem Fun Calculus Stuff Kelley's Books Superbowl of Cal Read More Go to Site Casio SITE TEAMS Grant - Calculus Votes:0 Casio TEAMS Grant Systemic Initiative Teaching Environment Calculus Workshop Materials Limits Continuity and Differentiability Derivatives Lesson Using the List Feature Easy Experimenting Verifying Newton's Law of Cooling Light Intensity vs. Distance Lessons 1) Use the CASIO CFX-9850G to find the area of the region bounded between the functions : f(x) = x 2 , g(x) = x + 2 2) Use the CASIO CFX-9850G to find the area of the region bounded between the functions : 3) Use the CASIO CFX-9850G to find the area of the region bounded between the functions : 4) Understanding equations of lines, slopes, parallel and perpendicular lines can be fun when using the CASIO CFX-9850G. Draw the silhouette of the B-2 Bomber Stealth on the initial viewing screen of the calculator. 5) Understanding equations of Read More Go to Site Central College Personal Homepage Under Construction Votes:0 Personal Web sites Personal Web sites have been moved. This Web site has been moved to http://pages.central.edu/emp/hibbarda/ . Please update any bookmarks or links that point to this page. Read More Go to Site CIMT - Page no longer available at Exeter University servers Votes:0 Centre for Innovation in Mathematics Teaching Page no longer available at Exeter University servers You may be aware that the entire CIMT site has been moved to a new location as a result of the Centre's move to Plymouth University (Exmouth Campus) at the beginning of August 2005. In a moment you will be redirected to our new home page. You should then be able to navigate to your desired area of the site. The address is: http://www.cimt.plymouth.ac.uk/ , and you will be automatically redirected to that page in 30 seconds if you do not click on the link before then. Please remember to update any bookmarks you have linking to the old Exeter site, so that in the future you are not directed to this page again. CIMT Read More Go to Site CIS587 : The Wumpus World Votes:0 CIS587: The Wumpus World Last Modified: Rules of the Wumpus World The Situation Calculus The Frame Problem Representing Knowledge about the Wumpus World Model-Based and Diagnostic Reasoning Some Questions A variety of "worlds" are being used as examples for Knowledge Representation, Reasoning, and Planning. Among them the Vacuum World, the Block World, and the Wumpus World. We will examine the Wumpus World and in this context introduce the Situation Calculus, the Frame Problem, and a variety of axioms. The Wumpus World was introduced by Genesereth, and is discussed in Russell-Norvig. The Wumpus World is a simple world (as is the Block World) for which to represent knowledge and to reason. It is a cave with a number of rooms, represented as a 4x4 square. +---------+---------+---------+----- Read More Go to Site Common Errors in College Math Votes:0 --> I have several web pages intended for students ; this seems to be the most popular one. Browser adjustments: This web page uses sub scripts, super scripts, and the s ¡ mb ° l font, which may display incorrectly on your computer -- particularly if you are using an old browser and/or an old operating system, or if your browser's encoding is set to "unicode". (Under "view", set the encoding to "western" . For Macintoshes, use "MacRoman".) At some point when I have time, perhaps I'll rewrite this whole page using latex2html, since that is probably the only format that works correctly with all browsers and all platforms. Note to teachers (and anyone else who is interested): Feel free to link to this page ( around 500 people have done so ), tell your students about this page, or copy (with a Read More Go to Site Continuity and Limits Votes:0 An Alternative Approach to Continuity and Limits for First Year Calculus Students The following Java applet indicates the basic idea: You need a Java enabled browser to see this. We define the jumpiness of a function f(x) over an interval [a-r,a+r] as indicated by the following picture: (Jumpiness is infinite when the function is unbounded on the given interval.) Formally jumpiness is defined as l.u.b{|f(x1) - f(x2)|}, where x1 and x2 range over the interval. (But at this level there is no harm done by finessing the difference between l.u.b. and maximum.) We then ask what happens when we shrink the interval towards x=a. Two possibilities can occur. First of all the green bounding box of the graph can shrink to a point. In this case we say that the jumpiness of f(x) at x=a is 0. The followi Read More Go to Site CVGMT: Home Votes:0 Home | People | News | Preprints | Calendar | Mail | Links | Login | Search | Help Home Welcome to the HomePage of the Research Group in Calculus of Variations and Geometric Measure Theory at Pisa. Scuola Normale Superiore of Pisa Mathematics Department of University of Pisa Department of Applied Mathematics of University of Pisa Our research interest is the study of variational problems and their applications to Geometry and to Mechanics, ---- TO HERE --> Look here to know more about us. Please, feel free to download and use all the material you find interesting. If you want to receive regularly the group news, subscribe to our mailing list in the Mail section. Registered users can: Ennio De Giorgi's HomePage CIME Summer Course Nonlinear PDE's and Applications - Cetraro 22/28 June 2008 We Read More Go to Site dansmath - lessons index Votes:0 dansmath > lessons Learn a little bit on-line about a lot of subjects. Click on any green title below to go there! (Check back often; lessons are being added & updated!) Browse sample questions and answers! (c) 1997-2001 Dan Bach and B & L Math Enterprises; all rights reserved. Download for personal use only. Arithmetic, Prealgebra, Beginning Algebra Intermed.Algebra, Functions & Graphs, Trigonometry Limits, Differential Calc, Integral Calc, Vector Calc Linear Algebra, Diff. Equations, Math major stuff Statistics, Geometry, Number Theory; Other ideas? [ home | info | meet dan | ask dan | matica | dvc | prob of wk ] This site maintained by B & L Web Design , a division of B & L Math Enterprises. Read More Go to Site Dave's short course in trigonometry Votes:0 Dave's short trig course Dave's short trig course is now at http://www.clarku.edu/~djoyce/trig/ . Read More Go to Site Difference Equations to Differential Equations Votes:0 Difference Equations to Differential Equations An introduction to calculus Each section of the text is in Portable Document Format (PDF). PDF viewers are available here and here . A PostScript version may be found here (the old homepage). This site will be down from the evening of 5 April until the evening of 7 April. During the time you may access a mirror here --> Difference Equations to Differential Equations was written with the help of Tex , DVIPS , xdvi , PDFTeX , XEmacs , nedit , XFig , epstopdf , pstoedit , Acrobat Reader ? and Mathematica ?. A companion multi-variable calculus text, The Calculus of Functions of Several Variables , is available here . For an alternative introduction to calculus, see Yet Another Calculus Text . Answers for selected problems are available here . Send Read More Go to Site Dr. Sloane's Calculus I Votes:0 Calculus I Famous Math Professor Quote "...BUT WITH CALCULUS, WE CAN DO BETTER!" Special Thanks to Eric Gumtow at SWT University for allowing me to use most of his code and content for my Calculus I page. His Calculus site is great! To go there, Click HERE . In order to view this page, you will need to download and install the Calculus True-Type Font and the SWA Symbol Font located Here . And Here . The Vital Points Of Calculus Limits Delta-Epsilon Proof Definition Of A Derivative Rules Of Differentiation Trig Function Derivatives The Chain Rule Implicit Differentiation Antidifferentiation Indefinite Integrals Definite/Riemann Integrals Limits Key: Do they exist or not? The concept of the limit of a function is central to the study of calculus. It will be used to define just about everythi Read More Go to Site Dynamical Systems and Fractals Lecture Notes Votes:0 Next: Contents Up: Dynamical Systems and Fractals Dynamical Systems and Fractals Lecture Notes David J. Wright Contents Introduction to Dynamical Systems Symbolic dynamical systems Discrete-time systems Continuous-time systems Fractal long-term behavior Computational aids Netscape MAPLE FRACTINT Supplementary program files L -systems Basic definitions Fibonacci L -system Types of L -systems Thue-Morse L -system Paperfolding and the Dragon curve Turtle graphics and L -systems FRACTINT conventions Branching and bracketed L -systems Famous L -systems of mathematical history Self-similarity and scaling Tilings as Dynamical Systems Basic concepts Euclidean similarities Examples of self-similar tilings Periodic and recurrent tilings Quasicrystals Self-similar tilings arising from projections Com Read More Go to Site Earliest Uses of Symbols of Calculus Votes:0 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 Th?orie 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 m?thode pour r?soudre les ?quations litt?rales par le moyen des s?ries ( Oeuvres, Vol. Read More Go to Site edwardspenney.com Votes:0 Edwardspenney.com What you need, when you need it /* lang_nav --------------------------------------------------*/ ul#lang_nav { position: absolute; overflow: visible; top: 19px; right: 0px; z-index: 9999; width: 120px; height: auto; margin: 0px; padding: 0px; border-top: 2px solid #777777; border-left: 2px solid #777777; border-bottom: 1px solid #848484; border-right: 1px solid #848484; text-align: left; background: #ffffdb; opacity: 0.75; filter:alpha(opacity=75); /* IE's opacity */ } ul#lang_nav li { position: relative; z-index: 9990; list-style: none; display: block; overflow: visible; width: 100%; margin: 0px; padding: 0px; color: #0707cd; } ul#lang_nav li a { position: relative; z-index: 9991; display: block; width: auto; margin: 0px; padding: 1px 6px; color: #0000cc; font-weight: no Read More Go to Site Exambot Math Topics Votes:0 Check one: Home Procrastinate Study My Exambot Help Math Topics at Exambot Mathematics Applied Calculus Motion in the Plane Simple Harmonic Motion Velocity and Acceleration Projectile Motion Mass and Moments Center of Mass Centroids Centroids Moments Growth and Decay Problems Optimization Problems Physical Applications of Calculus Energy Work Pressure Rate Problems Related Rates Integral Calculus Calculus of Trancendental Functions Calculus of Trigonometric Functions Calculus of Logarithms and Exponentials Calculus of Hyperbolic Functions Approximate Integration Approximating Areas Using Rectangles Simpson's Rule Trapezoid Rule Indefinite Integrals Areas of Plane Regions Approximating Areas Using Rectangles Areas of Bounded Regions of Parametric Curves Area Between Curves First Order Diffe Read More Go to Site EXCALC: A System for Doing Calculations in the Calculus of ModernDifferential Geometry Votes:0 TOP Next: Acknowledgments Up: REDUCE Home Page Top: REDUCE Online Documentation EXCALC: A System for Doing Calculations in the Calculus of Modern Differential Geometry Eberhard Schrüfer Institute SCAI.Alg German National Research Center for Information Technology (GMD) Schloss Birlinghoven D-53754 Sankt Augustin Germany Email: schruefer@gmd.de Acknowledgments 1 Introduction 2 Declarations 3 Exterior Multiplication 4 Partial Differentiation 5 Exterior Differentiation 6 Inner Product 7 Lie Derivative 8 Hodge-* Duality Operator 9 Variational Derivative 10 Handling of Indices 11 Metric Structures 12 Riemannian Connections 13 Ordering and Structuring 14 Summary of Operators and Commands 15 Examples About this document ... TOP Next: Acknowledgments Up: REDUCE Home Page Top: REDUCE Online Do Read More Go to Site Focus on Calculus Votes:0 Focus on Calculus A Newsletter for the Calculus Consortium Based at Harvard University Winter 1997, Issue No. 12 IN THIS ISSUE Preparing TAs to Teach Reformed College Algebra at the University of Missouri Sandi Athanassiou Calculus in Inner City High Schools: Equity and Reform Robert W. Case "New and "Old" Calculus: Student Reactions and Comments Sheldon P. Gordon Brief Calculus for Business, Social Sciences, and Life Sciences Patti Frazer Lock Global Review Faults U.S. Curricula Gretchen Vogel About this Newsletter From the Publisher The Sixth Conference on the Teaching of Mathematics is coming up fast. New this year are hands-on 90-minute workshops that will run in parallel with the program and contributed papers. The Conference will make use of state-of-the-art computer labs through the Read More Go to Site Folder - Integrals Votes:0 Integrals Table of Integrals Integral Identities Special Functions Read More Go to Site Functions Votes:0 Section Topic Index Functions Lines and Parabolas Polynolmial Functions Rational Functions Exponential and Logarithms Trigonometric Functions Implicit Functions Special Functions Limits Derivatives Applications Integrals Applications Return to UNCW home page Gabriel G. Lugo, lugo@uncwil.edu Russell L. Herman, hermanr@uncwil.edu Last updated November 29, 1998 Read More Go to Site Gavin's Calculus Projects Votes:0 Gavin's Calculus Projects Calculus Projects developed for Calc I--III, organized by semester and year: (all projects (c)1994-2004, Gavin LaRose. permission is granted to use these, for free, in a non-profit educational setting. if you have questions, contact Gavin at glarose<at>umich<dot>edu) These and more projects are also available in Writing Projects for Mathematics Courses (Crannell, LaRose, Ratliff and Rykken), published by the MAA ( MAA bookstore ). Most Recent Projects (only sort-of recent) Calc I Calc II Calc III Project Archives Calc I Projects Calc II Projects Other Resources DiffEq Materials Other projects Most Recent Projects Calc I (Fall 1998) Caustic rain... More caustic rain... Profitable production... Calc II (Fall 1999) Wonder drugs... Floating... Spagopolis.. Read More Go to Site Graphing Cubic Polynomials Votes:0 Home1 | Home2 | Java Graphing Cubic Polynomials Graph Sorry, your browser needs Java to display this applet. Notes Change the numbers in the boxes to change the coefficients of the polynomial. The default values are 2, 1.4, -1.2, 0, corresponding to the polynomial f(x) = 2x 3 + 1.4x 2 - 0.8x Small numbers --- between, say -2 and 2 --- will work fairly well. With larger numbers you will have to "zoom out." Press "Redraw" after you change the coefficients. Click on a point in the plane to determine its coordinates. Use this to find approximate values for the zeroes of the polynomial. There are three zeroes; you may have to zoom out to find them all. "Zoom in" magnifies the graph and "zoom out" reduces it. The origin stays fixed while zooming. Try repea Read More Go to Site How to Ace Calculus : The Streetwise Guide Votes:0 EXCERPTS FROM: How to Ace Calculus : The Streetwise Guide Colin Adams - Joel Hass - Abigail Thompson Paperback - 240 pages (September 1998) W H Freeman & Co; ISBN: 0716731606 Available at most bookstores and online booksellers. Also available at the How to Ace web site. Thanks to WH Freeman for authorizing posting of these excerpts. Exactly Who and What is your Instructor? How to deal with your instructor How to Handle the Exam What will be on the Exam Calculus in the Afterlife: How to study How not to study for the exam. Taking the Exam Derivatives: How to Find Them the Easy Way The Basic Rules of Differentiation The Power Rule The Product Rule The Quotient Rule Derivatives of Trig Functions Second derivatives, third derivatives, etc. Velocity and Acceleration: Put the pedal to the metal Read More Go to Site HyperMath Votes:0 Maximum and minimum determination The derivative and integral from calculus are primary working tools in the physical sciences. Integrals of functions Table: derivatives of functions Index HyperPhysics ***** HyperMath R Nave Go Back Read More Go to Site index Votes:0 Calculus An Active Approach with Projects The Ithaca College Calculus Group Steve Hilbert, John Maceli, Eric Robinson Diane Driscoll Schwartz , Stan Seltzer Department of Mathematics and Computer Science Ithaca College About our Project About our Book The Table of Contents Exerpts from the Instructor's Guide About Workshops For other information, send us e-mail : calculus@ithaca.edu About our Project Supported by grants from the National Science Foundation and Ithaca College, we have developed instructional materials for a projects-based curriculum in first-year calculus. Our course emphasizes graphical and numerical approaches throughout; a modeling thread begins early and continues throughout the first year. We use large problems, often open-ended, to drive the curriculum: students work Read More Go to Site Index of /calc Votes:0 Index of /calc Name Last modified Size Description Parent Directory - pix/ 18-Oct-2006 05:20 - seriescrib.html 24-Sep-2006 14:34 4.5K seriesxmpl.html 24-Sep-2006 14:34 3.1K Read More Go to Site Interactive Advanced Calculus Votes:0 Interactive Advanced Calculus Read More Go to Site Interactive Learning in Calculus and Differential Equations withApplications Votes:0 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 sectio Read More Go to Site Interactive Textbook for PFP 96 Votes:0 After looking through this site, please take 3 minutes to fill out our survey ! Copyright &#169 1994-1997 Open the book New technology versions of the Textbook. All are still under development. Java-enabled version of the Textbook! Need Netscape 2.02 or later to view it. Search the Online Textbook for a particular topic! Next: MATH AS A SECOND LANGUAGE TABLE OF CONTENTS MATH AS A SECOND LANGUAGE - Week 1 Working with Maple Linear models Quadratic and polynomial models Dealing with Data I: A ``simple" linear fit One-Dimensional Motion Introduction to Chemistry Classification of Matter Do We Take Atoms for Granted? The Most Useful Functions for Science Exponentials Trigonometric functions Parametric Equations Homework Problems for Week 1 Lab Exercise for Week 1 Assignments for Week 1 Gallery Read More Go to Site Introduction to the works of Euclid Votes:0 An Introduction to the Works of Euclid with an Emphasis on the Elements (first posted to the web in 1995) jump to: outline of paper | text of paper | suggestions for further study | bibliography | bottom of page [ anchor here ] Outline of paper Introduction I. The Life of Euclid II. The Works of Euclid Other than the Elements Extant Works Lost Works Questionable Works III. The Structure of the Elements Definitions, Postulates, and Axioms Propositions Parts of a Proposition Sample Proposition from Book I Porisms and Lemmas Overview of the Thirteen Books of the Elements Dependencies Among the Books of the Elements IV. The Contents of the Elements Book I Definitions of Book I Postulates and Axioms of Book I Propositions of Book I Book II Book III Book IV Book V Book VI Book VII Book VIII Book Read More Go to Site Introduction4 Votes:0 THE DEVELOPMENT OF CALCULUS INTRODUCTION This module has been produced as a distance-learning package. It is intended that the student should read through the notes provided and use the reading list and other History of Mathematics Links . There will be a non-assessed presentation and an assessment which is allocated one sixth of the overall module marks. The assessment title formulated by the student should be submited to the tutor for aproval: DAVID WILKINSON SCIT University of Wolverhampton Wulfruna Street Wolverhampton WV1 1SB The tutor will then write back within a week to say whether the assessment title is suitable. The assessment should then be sent to the above address or handed to the lecturer in time for the deadline as stated in the Module Guide . History of Calculus (Summary) Read More Go to Site Introductory Essay on Calculus Votes:0 Department of Mathematical Sciences Northern Illinois University An Introduction to Calculus by John Beachy All of nature is in a state of constant motion and change. The branch of mathematics that provides methods for the quantitative investigation of various processes of change, motion, and dependence of one quantity on another is called mathematical analysis, or simply analysis. A first course in calculus establishes some of the basic methods of analysis, done in relatively simple cases. The development of the methods of analysis was stimulated by problems in physics. During the 16th century the central problem of physics was the investigation of motion. The expansion of trade, and the accompanying explorations, made it necessary to improve the techniques of navigation, and these in tur Read More Go to Site IRA: Interactive Real Analysis Votes:0 IRA: Interactive Real Analysis MARGINWIDTH="0" MARGINHEIGHT="0" MARGINWIDTH="0" MARGINHEIGHT="0" You must use a browser that supports "frames". Suggested browsers are Netscape version 4.5 or better, or Internet Explorer version 4.0 or better. Read More Go to Site IRA: Interactive Real Analysis Votes:0 IRA: Interactive Real Analysis MARGINWIDTH="0" MARGINHEIGHT="0" MARGINWIDTH="0" MARGINHEIGHT="0" You must use a browser that supports "frames". Suggested browsers are Netscape version 4.5 or better, or Internet Explorer version 4.0 or better. Read More Go to Site Java + Calculus Votes:0 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. Read More Go to Site KryssTal : Introduction to Calculus Votes:0 [Home Page] [Mathematics Page] [Introduction to Numbers] [Introduction to Algebra] [Pascal's Triangle] [Trigonometry] [Look At Logarithms] [Graphs] [Trigonometric Equations] [Calculus: Differentiation] [Spherical Trigonometry] [Further Algebra] [Fun With Formulas] [Readers' Feedback (Mathematics)] [Language] [Travel] [Democracy] [Eclipses] [London] [Astronomy] [Mathematics] [Physics] [Chemistry] [Football] [Television] [Other] Calculus Introduction to Differentiation graph : slope : derivative : differentiation : dy/dx Support this web site by making a donation Differentiation and The Derivative Introduction Calculus is a very important branch of mathematics. It is a form of mathematics applied to continuous graphs (graphs without gaps). Calculus has two aspects: Differentiation (finding d Read More Go to Site Lambda Calculus Votes:0 MacTech Network: MacForge.net | Computer Memory | Register Domains | Printer Supplies | Cables | iPod Deals | Mac Deals | Mac Book Shelf The journal of Macintosh technology Magazine In Print About MacTech Home Page Subscribe --> Subscribe MacTech CD Submit News Submit a Tip! Get a copy of MacTech RISK FREE --> Get a copy of MacTech RISK FREE Entire Web mactech.com Mac Community More... Web mactech.com --> MacTech Central by Category by Company by Product MacTech News MacTech News Previous News MacTech RSS Article Archives Show Indices by Volume by Author Source Code FTP Inside MacTech Writer's Kit Editorial Staff Editorial Calendar Back Issues Advertising Register Low Cost Domain Names: starting at $1.99 --> Contact Us Customer Service MacTech Store Legal/Disclaimers Webmaster Feedback ADV Read More Go to Site Larry Stout's Home page Votes:0 Lawrence Neff Stout Professor of Mathematics Illinois Wesleyan University A.B. University of Chicago, M.A., Ph.D. University of Illinois Urbana Champaign Office: C209C Science Center (309)-556-3038 Fall 2007 Schedule E-mail: lstout@iwu.edu Disclaimer Contents: How to study mathematics an essay designed to help the student attack college mathematics actively. Teaching Study Notes for classes Research Interests Resume Hobbies Courses for Fall 2007 Math/CS/Phil 360 Advanced Topics in Logic Syllabus and Calendar Math 161 Section 1, Calculus 1, 1:00 MWF Syllabus and Calendar Math 161 Section 4, Calculus 1, 2:00 MWF Syllabus and Calendar Past Syllabi Study Notes for Classes Basic Terminology on Sets and Functions Algebra Review for Calculus All the Trigonometry You Need for Calculus L'Hopital's Read More Go to Site Math Applications, Resources, Tutorials and More - Maple Application Center - Maplesoft Votes:0 For Engineering Design For Scientific Research For Operations Research For Financial Analysis For Academic Instruction For Academic Research For Students For Testing & Assessment Maple 11 Professional Maple 11 Academic & Student Maple Toolbox for MATLAB BlockBuilder for Simulink BlockImporter for Simulink Placement Test Suite Maple T.A. MapleNet eBooks & Study Guides Add-on Products Maplesoft Web Store Purchasing Options --> Product Pricing Request a Quote Pricing & Licensing --> Contact Maplesoft Sales International Resellers Elite Maintenance Program Support & Customer Service Frequently Asked Questions Download Product Updates Elite Maintenance Plan --> Training Documentation Center Welcome Center Training Teacher Resource Center Student Help Center Maple Reporter Application Briefs Sub Read More Go to Site Math.com Homework Help Calculus Votes:0 Home | Teacher | Parents | Glossary | About Us 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 · Formulas & Tables · References · Test Preparation · Study Tips · Wonders of Math Search Enter your search terms Web Math.com Submit search form Play Sudoku Tables & Formulas Integrals · Table of Integrals · Integral Identities · Special Functions Derivatives · Table of Derivatives · Derivative Identities · Min, Max, Critical Points, Asymptotes, Concavity, Inflection, etc. Series Expansions · Online Solver: Integrate · Online Solver: Differentiate Contact us | Advertising & Sponsorship | Partnership | Link to us © 2000-2005 Math.com. All rights reserved. Read More Go to Site Mathematica Code for SeaShell Votes:0 Mathematica Code for SeaShell Mathematica Code for Sea Shell This seashell is brought to you courtesy of spherical coordinates. Here are the formulas for transforming spherical coordinates to Cartesian coordinates. x[theta_,phi_,rho_] = rho Sin[theta] Cos[phi]; y[theta_,phi_,rho_] = rho Sin[theta] Sin[phi]; z[theta_,phi_,rho_] = rho Cos[theta]; Using spherical coordinates, we can graph a semicircle of radius 2. Needs["Graphics`ParametricPlot3D`"] Clear[x,y,z,theta,phi] x[theta_,phi_] = 2 Sin[theta] Cos[phi]; y[theta_,phi_] = 2 Sin[theta] Sin[phi]; z[theta_,phi_] = 2 Cos[theta]; ParametricPlot3D[ {x[theta,phi], y[theta,phi], z[theta,phi]}, {theta,0,Pi}, {phi,0,.1}, ViewPoint->{1.205, 3.152, 0.245}]; and then we can rotate it about the z axis by letting phi vary from 0 to 2Pi. Clear[x,y,z,th Read More Go to Site Mathematics Votes:0 More Mathematics than Science Science Contents Index Home Expression Evaluation The Function Institute The Geometry Section Graph Paper Miscellaneous Mathematics The Trigonometry Realms Curve Fitting EZ Graph Simple Data Grapher Science Contents Index Home E-mail Read More Go to Site Mathematics 69.104...Calculus for Engineering Students Votes:0 Calculus for Engineering Students Mathematics 69.104, Section A NOTES Final Unofficial Grades: Click here . Some student numbers are missing...don't worry... just call or e-mail me and I'll let you know your final grade. Don't forget: Study hard for your final exam! Study all class notes, applications, and internet quizzes . For sample exam questions click here Final Grades For sample test questions click here Answers to TEST 1, dated Sept. 24, 1996 FAQ about Tutorials in this course Notes for the week, Sept. 9-13, 1996 Notes for the week, Sept. 16-20, 1996 Notes for the week, Sept. 23-27, 1996 Notes for the week, Sept. 30 - Oct. 4, 1996 Notes for the week, Oct. 7 - 11, 1996 Access to WWW browsers on campus DAILY QUIZZES: For grading purposes please go to the tutorial link below which corr Read More Go to Site Mathematics Animated Votes:0 Mathematics Animated Louis A. Talman Department of Mathematical and Computer Sciences Metropolitan State College of Denver The objects below are QuickTime animations; they should work on Macintosh computers or on Windoze boxes that have QuickTime installed. If you don't have QuickTime, you can get the latest version at Apple's QuickTime site . This page has proved to be much more popular than I could ever have imagined that it would, and I've heard complaints from several sources that it includes little or no explanation of what the animations illustrate. My original intent was that knowlegeable instructors would use the movies with their students; of course, such instructors would already know what was going on and would provide their own explanations. However, to my amazement and gratifi Read More Go to Site MathPages: Calculus and Differential Equations Votes:0 Calculus and Differential Equations The Laplace Equation and Harmonic Functions Fractional Calculus Analytic Functions, The Magnus Effect, and Wings Fourier Transforms and Uncertainty Propagation of Pressure and Waves The Virial Theorem Causality and the Wave Equation Integrating the Bell Curve Compressor Stalls and Mobius Transformations Dual Failures with General Densities Phase, Group, and Signal Velocity Series Solutions of the Wave Equation The Limit Paradox Proof That PI is Irrational Simple Proof that e is Irrational The Filter Of Observation Eigenvalue Problems and Matrix Invariants Root-Matched Recurrences For DiffEQs Why Calculus? The Fundamental Anagram of Calculus High Order Integration Schemes Do We Really Need Eigen Values? Markov Models with Aging Components Leibniz's Rule A Read More Go to Site Michigan Technological University Department of Mathematical Sciences Votes:0 --> This site has been moved. Click the following link to move to the new MTU Mathlab website. http://wiki.mathlab.mtu/mediawiki/ . The problem of secure/unsecure content is in the process of being fixed. Just continue to the website and display both the secure and nonsecure items. Read More Go to Site Mr. Calculus Votes:0 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 Read More Go to Site MSN Encarta : Online Encyclopedia, Dictionary, Atlas, and Homework Votes:0 MSN home Mail My MSN Sign in encarta greeting cards more Hotmail Messenger My MSN MSN Directory Air Tickets/Travel Autos Careers & Jobs City Guides Dating & Personals Extra Games Green Health & Fitness Horoscopes Lifestyle Maps & Directions Money Movies Music News Real Estate/Rentals Shopping Spaces Sports Tech & Gadgets TV Weather White Pages Yellow Pages encarta ® Home Encyclopedia Dictionary Atlas K-12 Success College & Grad School Adult Learning Quizzes More Additional Reference Materials Thesaurus Translations Multimedia Other Resources Education Resources Math Help Foreign Language Help Project Planner Scholarships & Financial Aid Jobs & Internships Online Degrees Coffee Break Ask Bill Nye the Science Guy Top 10 Lists Columns On This Day Encarta Products Help Today's Highlights Novem Read More Go to Site Mult. Variate Calc: Table of Contents Votes:0 Table of Contents Quick Review of Concepts from Calc 1. Maxs, Mins Inflection points Using maple to enter functions, take derivatives, make univariate plots and manipulate expressions. Introduction to the Algebra and Geometry of Euclidean Space Vectors Introduction to the concept of vector . Magnitud, direction, addition. Vector Geometry Cartesian and spherical coordinate systems. Describing, surfaces, lines, points with vectors. Working with vectors in Maple Using maple to compute addition of vectors, magnitudes, angles. The plane in the wind problem is here... The Dot Product Introducing the inner product. Scalar and vector projections. The Cross Product Definition. Cross products of the i,j,k basis vectors. Examples. Properties of Cross products Maple proofs of the distributivity and an Read More Go to Site Multivariable Calculus Votes:0 Pic 20 Java Applets Calculus 131A Problems Exam 1, Math 31A, Oct 24, 2002 Sample Final 31A Questions or comments? Send them to rjm@math.ucla.edu Previous Math 32A Exams Math 32B Read More Go to Site Multivariable Calculus Examples Votes:0 Examples from Multivariable Calculus About this page. Here we discuss several examples that involve DPGraph extensively, and in some cases, also indispensably. The examples below are divided into two groups: The first group discusses optimization of functions of 2 or 3 variables over compact regions and manifolds; the second group shows how to set up double and triple integrals using DPGraph. Although these examples and methods do not replace analytical techniques, for 2 or 3 variables they work well beyond the reach of standard (differentiable) analysis. If you do not currently have a copy of DPGraph installed on your machine, then it is strongly recommended that you first download and install the free DPGraph Viewer . This will enable you to use the scrollbar, and to see the graphics, an Read More Go to Site Newton Basins Votes:0 Newton Basins David E. Joyce Clark University August, 1994 Table of contents Introduction (this is it) Background on Newton's method Some examples Generation form Technical details References in books and on the web Newton's method for finding solutions to equations leads to some fantastic images when it's applied to complex functions. You start with an initial guess for the solution which may be any number, and the method gives you a closer estimate to the solution. The next estimate will be even closer. Anyway, that's what often happens. Typically, there's more than one solution to the equation. If you start near one solution, you'll quickly get to it. But what happens if you start somewhere between two solutions? That's when you get interesting pictures. Color the complex plane accordin Read More Go to Site No Title Votes:0 Next: A Context for Calculus A Context for Calculus The Spread of Disease Making a Model A Simple Model for Predicting Change The Rate of Recovery The Rate of Transmission Completing the Model Analyzing the Model Exercises Reading a Graph A Simple Model Mark Twain's Mississippi The Measles Epidemic Other Diseases What Goes Around Comes Around About this document ... Jim Callahan Fri Jun 21 08:27:06 EDT 1996 Read More Go to Site OJK's Precalculus Page Votes:0 Precalc Selections Linear & Quadratics Polynomial Functions Inequalities Functions Exponents & Logs Analytic Geometry Trig Functions Trig Equations, Apps Triangle Trig Trig Formulas Polar & Complex # Sequences & Series Limits, Rat Functions Intro to Calculus Basic Calculus Quizaroos Puzzles Random Riddles Scientific Calculator Graphing Calculator Student Found Links Algebra II Quizaroos Homework Help! Get a Free Guestmap Search this site! Match ANY Match ALL Nominate a math site for our new Excellence in Math Award! Click Above! This site is a member of WebRing. To browse visit Here . Created by OJK on 3/16/97 Updated 08/22/06 Copyright 1997-2006 by OJK Best viewed with Netscape 4.X at 800 x 600 Other Selections Join OJK Webring Webrings Search Engines LC-151,152&172 Awards Won OJK SearchE Read More Go to Site Pat Eklund for Supervisor Votes:0 Thank You. November 8, 2006 Dear Friends and Supporters, Thank you for your contributions, time, encouragement, and friendship throughout this campaign. Although I would prefer to have won on Election Day, I know we did win in many important ways. We started a dialogue about finding constructive solutions to our most pressing problems. We raised the bar on what citizens should expect from their public servants. And we brought people together with a common purpose of protecting and enhancing the quality of life we are so fortunate to enjoy in our community. I am so grateful to all of the volunteers who walked precincts, folded and stuffed letters, looked up phone numbers, phoned constituents and contributed in so many ways to the campaign. I congratulate Supervisor-Elect Arnold on her win. Read More Go to Site PCPOW Home Page Votes:0 (Kent, WA) PCPOW (Prob/Stats and Calculus Problems of the Week) Newspaper Articles! Question 4 Winner: None--5 Perfect Scores this month! Search This Site The Web for Currently 38 states have participated!! Has your state participated in our contest yet? Click here to see the map of the United States. Maybe you could be the first participant from your state!! The following countries have contributed to PCPOW!! Last updated Sunday, Jan. 8th, 2006 Read More Go to Site Philosophical Problems with Calculus Votes:0 Philosophical Problems with Calculus ...between 1830 and 1870 a serviceable approach to calculus was worked out, based on the concepts of function and limit. This is the mainstream approach to calculus used today. It denies the existence of infinitesimals, and intreprets the word "infinitesimal" as a mere figure of speech in statements that are properly made using limits. For example "let dx be infinitesimal" would be restated as "let x tend to zero." However, even the mainstream approach uses the Leibniz notations dy/dx and y dx , because they are so concise and suggestive. This leads to some awkward moments. It has to be explained that dy/dx is not the ratio of infinitesimal differences dy and dx -- since infinitesimals do not exist -- but is rather a symbol for the limit of the ratio y/ Read More Go to Site Pre-Calc/Calculus: Calculus Concepts - Math for Morons Like Us Votes:0 Pre-Calc Cncpts. Calculus Cncpts. Reference Sheet Message Brd. On this page, we've listed important concepts with which you should be comfortable. For a basic understanding of Calculus I, you should be comfortable with the following concepts: The cartesian plane and functions The real number line The cartesian plane and the distance formula Lines in the plane; slope Circles Graphs of equations Functions Limits Limits Continuity Limits & asymptotes Curve sketching Differentiation The derivative as the slope of a curve Differentiability and continuity The derivative as a rate of change Higher order derivatives The product and quotient rules Position - velocity - acceleration functions The chain rule and the general power rule Implicit differentiation Related rates Applications of differentia Read More Go to Site PRIME Articles Votes:0 BROWSE ALPHABETICALLY LEVEL: Elementary Advanced Both INCLUDE TOPICS: Basic Math Algebra Analysis Biography Calculus Comp Sci Discrete Economics Geometry Graph Thry History Foundations Number Thry Phys Sci Statistics Topology Trigonometry Extended PRIME Articles Cantor's Theorem Cantor Set Carroll's Paradox Conics Dandelin's Spheres Differentiation Rules Fallacies Fibonacci Sequence Fundamental Theorem of Arithmetic Gödel's Theorems Greek Alphabet Hempel's Ravens Paradox Hilbert's Problems Integration Forms Irrationality of the Square Root of 2 Kepler's Laws Latin Terms and Phrases Limits Platonic Solids Series Sid's Paradox Solving Story Problems Trig Functions and Identities Von Neumann Heirarchy Zeno's Paradox of the Tortoise & Achilles HOME | ABOUT | CONTACT | AD INFO | PRIVACY Co Read More Go to Site Project Links | Calculus Index Votes:0 Calculus Modules To find out more about what the version numbers mean, click on any of the indicators. Curvature and Curve Design v Curvature is applied to the task of aesthetic curve design by using a fairness metric. The student interacts with different aspects of curvature. Authors: Bruce Piper , Bruce Buhler Keywords: calculus, curve, curvature Learning Level: College Platform: Project Links base technical requirements Applets: [ Full Metadata ] Chemical Kinetics and Equilibria v Chemical kinetics studies the rates of chemical reactions and their dependencies. Authors: Curt Breneman , Joan Warren Keywords: calculus, chemistry, chemical kinetics, chemical equilibrium Learning Level: College Platform: Project Links base technical requirements Applets: [ Full Metadata ] Drag Forces on Sol Read More Go to Site Qrhetoric Calculus - Home Page Votes:0 Home Page This site has moved to http://www.qcalculus.com . You are viewing an old version of the site. Welcome! Self: I have just graduated from Brooklyn College of CUNY with a math major. So what am I doing now? Well, I'm working at TIAA-CREF. Seems like a nice place. And I've completed the first two actuarial examinations. Mission: I hope you enjoy looking around my site. I built it because of the need I had when I took Calculus 1... I'd like to do what I can to help everyone else in that position. Not all teachers are created equal, and no one would ever blame you for needing help with Calculus. Guide: This site is designed very simply. On the left side of the page you can see the navigation bar, which takes you to every area in this site. You have probably come for the calculus tutori Read More Go to Site Ready for Calculus Votes:0 Mathematics & Statistics What you should know! Students who require Math 1823 in their program will normally take one of the following: a Pre-Calculus course (Math 0863 UNBF or Math 1863 UNBSJ) a regular (one semester) section of Math 1823 Students intending to take Math courses beyond their minimal requirement should take Math 1003 instead. They should consult with the Department. Students who come to UNB intending to take Math 1003 or Math 1053 will take a short placement test to determine if they are ready to do so. Based on their test scores, and the regulations set out by the Mathematics Departments, students who require Math 1003 in their program will take one of the following: a Pre-Calculus course (Math 0863 UNBF or Math 1863 UNBSJ) a special section of Math 1003 that covers the ma Read More Go to Site S.O.S. Math - Calculus Votes:0 S.O.S. Homepage | Algebra | Trigonometry | Differential Equations Complex Variables | Matrix Algebra | Tables | CyberExam 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 Who are we? Copyright & Disclaimer Privacy Concerns? We recommend: SEQUENCES Introduction to Sequences Basic Definitions Limit of a Sequence More on Limit of a Sequence Some Special Limits More Challenging Limits More Problems on Sequences Stirling's Formula SERIES Introduction to Series Convergence of Series The Geometric Series Application: A Bouncing Ball The Particular Case of Positive Series The Root and Ratio Tests More Examples on Series Bertrand Series Absolute Convergence Conditional Co Read More Go to Site SLIDE SHOWS AND STREAMING VIDEOS Votes:0 MATHEMATICAL LECTURES USING SLIDE SHOWS AND VIDEOS By Roxanne Byrne University of Colorado at Denver and Health Science Center This page contains streaming video lectures on topics in Mathematics as well as a few slide shows. You are welcome to view the media for educational purposes. You may link to them for educational purposes if you give proper credit to the author and institution. The tegrity files had to be updated to a new version and moved to a new server. IF YOU PREVIOUSLY LINKED TO ONE OF THEM, YOU WILL HAVE TO CHANGE THE URL ADDRESS. ELEMENTARY ALGEBRA REVIEW: A basic review of elementary algebra using windows media player can be found at Elementary Algebra Review ALGEBRA TOPICS: Circles (streaming video) Functions (streaming video) Linear Functions & Models (streaming video) Qu Read More Go to Site Study Guide for the Advanced Placement Calculus AB Examination Votes:0 Study Guide for the Advanced Placement Calculus AB Examination This study guide was originally written in the spring of 1996 to assist students in preparing for the Advanced Placement Calculus AB Exam. It has been converted from Microsoft Word 2.0 format to Microsoft Word 6.0/7.0 format. The study guide has been saved in PostScript and PDF formats. Both formats are hyperlinked below for your convenience. Internet Assistant for Microsoft Word was used to convert the word document to HTML and has been reorganized for easier web accessibility. HTML structure is based on the latex2html format. Study Guide for the Advanced Placement Calculus AB Examination: PDF | PostScript | HTML *Advanced Placement Program® and AP® are trademarks of the College Entrance Examination Board. Next: Contents If th Read More Go to Site Technology Based Problems Votes:0 Welcome to the Complex, Technology Based Problems in Calculus Home Page What we're all about: We offer complex, technology-based problems in calculus with applications in science and engineering. These problems have a higher level of complexity than traditional text book problems and foster use of a computer algebra system. Each problem set includes discussions of related teaching issues and solutions worked in Mathematica . Each problem is provided in the following three formats: .html = . Mathematica notebook in HTML format with figures translated to GIF files. This is readable by any standard WWW viewer, but a Netscape will probably work best. Translated to HTML by nb2html . .ma = . Mathematica notebook (ver. 2.2) (ASCII). Download this version after viewing the HTML format. .asc = . Te Read More Go to Site The Calculus Page Votes:0 Calculus Math History Links to Links Other FAC Links About 1600 A.D., 'thinkers' began to seriously study motion--from planets to pendulums. They were asking questions like-What is speed? What is acceleration? How high? How far? What is the shortest path? This led to the idea of "rate of change at any given instant". From this simple idea was born the calculus, and its applications have been expanding ever since. The following are just a few of the things that calculus is used for. Just a few uses 1.GRAVITY-escape velocity, moments, centre of gravity, spring 2.ELECTRICITY-alternating current, resonance, radio, television 3.LIGHT-photography 4.SOUND-vibrating string, music 5.HEAT-entropy, cream in coffee 6.MAGNETISM-potential 7.WATER FLOW-dams, tides 8.AIRCRAFT DESIGN-flow of air Read More Go to Site THE CALCULUS PAGE PROBLEMS LIST Votes:0 THE CALCULUS PAGE PROBLEMS LIST THE CALCULUS PAGE PROBLEMS LIST Problems and Solutions Developed by : D. A. Kouba And brought to you by : eCalculus.org Beginning Differential Calculus : Problems on the limit of a function as x approaches a fixed constant limit of a function as x approaches plus or minus infinity limit of a function using the precise epsilon/delta definition of limit limit of a function using L'Hopital's Rule Problems on the continuity of a function of one variable Problems on the "Squeeze Principle" Problems on the limit definition of the derivative Problems on the chain rule Problems on the product rule Problems on the quotient rule Problems on differentiation of trigonometric functions Problems on differentiation of inverse trigonometric functions Problems on detailed gr Read More Go to Site The Integrator--Integrals from Mathematica Votes:0 © 2007 Wolfram Research, Inc. Online since 1996. Read More Go to Site The New Mathwright Library and Cafe Votes:0 [ Mathwright , p. M AE1 TH R AY2 T-- n. An author of mathematical stories, as in Playwright ] W elcome to the Interactive Mathematics L ibrary ! Click here for a quick view of our Free Microworld Titles in the Math Cafe Click here for a quick view of all of our Microworld Titles The Piazza The Mathwright Library is our gallery. It is a growing collection of interactive, electronic mathematics and science books that range in size from 1 to 55 pages (or more). Our collection presently holds roughly 250 books, that comprise 1800 interactive pages. Each page is like an Applet. Bluejay Lispware built the Mathscript Mathematics Language that Mathwright is based on. And the Mathwright32 Author integrated development environment enables teachers to build dynamic mathematical explorations, lessons Read More Go to Site The On-Line Encyclopedia of Integer Sequences Votes:0 cannot read file Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics More pages | Superseeker | Maintained by N. J. A. Sloane ( njas@research.att.com ) AT&T Labs Research Legal Notice © 2007 AT&T Knowledge Ventures. All Rights Reserved. Read More Go to Site The Saltatory and Continuous Limits and the Transition Between Them Votes:0 Next: The Continuum Limit Up: Mathematical Analysis of the Previous: The Skid-Row-Relay or Fire-Diffuse-Fire 4. The Saltatory and Continuous Limits and the Transition Between Them In this section we discuss under what conditions the propagation is saltatory and under what conditions it is continuous. These regimes are illustrated in Fig.(1) in which two successive snapshots of the propagating wave are illustrated. In Fig 1 A saltatory propagation is illustrated: only a single site on the leading edge of the propagating wave fires followed by the site firing a short time later. In Fig 1 B, continuous propagation is illustrated: many sites are firing at once. As the wave moves to the right, the left-most sites stop firing while new sites to the right begin to fire. In the continuous case the Read More Go to Site The transition period Votes:0 Calculus Mathematicians of the early seventeenth century provided a wealth of analysis infinite and infinitesimal methods, in algebraic methods, and in functional concepts upon which the invention and development of calculus was based. Among the major players were Christian Huygens, Bonaventura Cavalieri, and John Wallis. Remarkably, once again we see Pierre Fermat making his usual profound contributions, this time to early analysis. Most readers of mathematical history are surprised by how much calculus was actually invented before Newton and Leibnitz took their turn. Let us note that by this time symbolism is well developed and its implications are well under development. With symbols, many, many expressions take on a compact form that reveal structure such as symmetries and formulas. Th Read More Go to Site The University of Minnesota Calculus Initiative Votes:0 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 integ Read More Go to Site Tides Votes:0 Tides and Tide Prediction Halls Harbour, Nova Scotia; and Halls Harbour, six hours later. from Greenberg , p.128A * General stuff about tides and tide prediction (this page). * Samples of today's tide predictions from the National Ocean Service and from the WWW Tide and Current Predictor . * About Water Levels, Tides and Currents (includes some history of tide prediction) from the NOAA/NOS website. * Tide Spectra and Tide Sounds : The predicted tidal record for various ports interpreted as musical scores. * More detailed information about Harmonic Analysis of Tides. * A nice Calculus with Calculators exercise: The Priming/Lagging of the Tides. * References . NOTE: Some of this information appears in a 3-part column I wrote in April-June 2001 for ``What's New in Mathematics'' on the America Read More Go to Site TILU - Table of Integrals Look Up Votes:0 TILU Table of Integrals Look Up (version 3.20 beta) Welcome to TILU, a web server that looks up symbolic integrals in a reference table. We've moved TILU. Click here to continue to the new TILU site, http://torte.cs.berkeley.edu:8010/tilu comments ! Read More Go to Site Trigonometry Votes:0 [ Prev | Next | Home ] Created 7/7/96 by jevans@tinet.ie Trigonometry A listing of material is given below. Other tutorial materials in English and Maths are available at www.mimesis.net Introduction Radian Measure Trig. ratios for acute angles Trig. functions and their graphs Inverse trig. functions Solution of trig. equations Trig. identities Suggestions for proving trig. identities Compound Angles and calculations Double angle formulae Half angle formulae Sums to products/Products to sums Trigonometry of the triangle -Surface Links- Core Resources by Topic - Core and Options LC - Higher Level Leaving Certificate Mathematics Senior Cycle Mathematics Resources Welcome! Funding and support Reception [ Prev | Next | Home ] Read More Go to Site Trigonometry and Astronomy Votes:0 ? Read More Go to Site Trigonometry or Trig: Math Votes:0 Quote of the Week (not math-related) Triangles, Circles, and Waves (oh my!) An Overview of Trigonometry Copyright (c) 1996 by Kenny Felder Requires Fonts This sheet is meant as a guide to help you review trigonometry. I assume you're already familiar with the basic concepts, and just need to have things cleared up or refreshed; if you've never seen trig before, this sheet will probably only be helpful in conjunction with a class. The Basic Idea Start out by considering a right triangle: that is, a triangle with one 90 o angle. The angle that we care about is one of the other ones, which we'll label with the Greek letter q . (Everyone always labels angles with Greek letters. Why? One loyal reader tells me this is done in honor of Pythagoras.) We're going to look at the sides: the big one, o Read More Go to Site University of North Texas Mathematics Projects Votes:0 University of North Texas Mathematics Projects Over the last few years a number of student projects have been assigned in UNT mathematics classes. We are attempting to make the projects we have given in the past available to others. We are also interested in increasing our list of projects. If you wish to submit a project please e-mail it to Neal Brand (neal@unt.edu). Include a short abstract, a list of concepts the project requires, appropriate course(s), and a TeX or Postscript (preferably both) version of the project. If your project is in a different format such as WordPerfect or Microsoft Word, that is acceptable as well. To view the projects you will need to have a Postscript viewer. Ghostscript works well for this. Projects are available for the following courses. Remedial Mathemati Read More Go to Site Untitled Votes:0 THE SCIENCE CORNER by Nigel Bunce and Jim Hunt College of Physical Science University of Guelph Wed. Sept. 13, 1989 A CRISIS IN CALCULUS If you ask any first year university student, in such diverse areas as science, engineering, economics or psychology, what is the most troublesome course, the answer will most probably be calculus. They all have to study it, most of them cannot see why (at least in first year), apparently no knowledge of it is required to live a useful life before university, and up to 50 percent will fail it at least once. The situation with calculus has been so difficult for so many years that some disciplines, notably some engineering schools, have let the calculus course be the filter for trimming down overinflated first)year enrolments. What is this apparently fiendi Read More Go to Site Vector Calculus Votes:0 B ELIEVE M E N OT! - - A S KEPTICs G UIDE Next: Functions of Several Variables Vector Calculus You don't really have to know this stuff to use my HyperReference . However, if you are mathematically inclined you will surely enjoy the elegance and economy of vector notation when applied to calculus; if nothing else this is an æsthetic treat - read it just for fun! Functions of Several Variables Operators G RADIENTS of Scalar Functions D IVERGENCE of a Vector Field C URL of a Vector Field The L APLACIAN Operator G AUSS' L AW Jess H. Brewer 1999-04-07 Read More Go to Site Web search Votes:0 Click here to proceed. Read More Go to Site Webmath | DiscoverySchool.com Votes:0 body {margin-left: 0px; margin-top: 0px; margin-right: 0px; margin-bottom: 0px;background: #565656 url(http://www.discoveryeducation.com/images/BG.jpg) top left repeat-x;} .global_text { font-family: Tahoma, Arial, Helvetica, sans-serif; font-size: 11px; color: #666666; } #header {position:relative;top:0px;left:0px;} #wrapper {position:relative;top:0px;left:0px;} #blocks {position:relative;top:0px;left:0px;} #logo {position:absolute;left:13px;top:13px; z-index:5; width: 108px; height: 68px;} #mainLinks {position:absolute;left:165px;top:39px; z-index:6; width: 582px; height: 18px;} #panelBox {position:absolute;right:20px;top:5px; z-index:12; width: 582px; height: 18px;} #educatorLoginBox {position:absolute;right:20px;top:7px; z-index:12; width: 582px; height: 18px;} #passcodeLoginBox {posit Read More Go to Site Welcome to the FHS AP Calculus Home Page Votes:0 Fairfield High School AP Calcucus Home Page ? Bibliography ??????? Survey ??????? Difficult Problems Famous Mathematicians ??????? Careers in Math & Quotes Logic Problems ??????? Calc Links ??????? Comics ??????? Math Geek Quiz ??????? Take the Test ??????? Problem Responces Sign our Dream Book An Explanation of Calculus and its Use ?"What in the world is Calculus?" Have you ever asked this question? For many years we heard about the impossible difficulties, and uncomprehendable concepts of Calculus. Every time we heard the name, we wondered what lay ahead of us at the end of high school and throughout college. Well, being enrolled in AP Calculus at Fairfield High School, we are being introduced into the first year of this overwhelming realm of math. On the way so far, we?ve learned a thin Read More Go to Site What is Wrong with "Harvard Calculus"? Votes:0 Mathematically Correct WHAT IS WRONG WITH HARVARD CALCULUS ? Jerry Rosen and David Klein Department of Mathematics California State University, Northridge The mathematics reform movement has watered down not only K-12 mathematics, but has made significant inroads at the college level. Chief among these is the so-called "Harvard Calculus" approach which has replaced traditional treatments. Many first rate universities have experimented with this approach and subsequently rejected it, including, for example, UCLA and USC. However, the Harvard Calculus approach, under the banner of reform, has widespread use just at a time when growing numbers of minority students are enrolling in colleges and universities. California State University, Northridge, for example, incorporates it in its math/scie Read More Go to Site writing Votes:0 Writing In Mathematics Calculus Examples 1. Cool 106.5 2. Cell Phone Problem 3. Keyboarding Class Math Analysis Examples 1. CSI Problem 2. An Exponential Problem 3. The Cement Pond 4. Problems with Radio Transmitters Home Read More Go to Site

StudySphere is an outstanding resource for homework help, special education, music school, cooking school, charter schools, art schools, technical schools, traffic school, film schools, catholic schools, etc.

	Submit a Site About StudySphere HAB Technologies LLC LessonStudio Great Green List
	Country Codes Cosmetic Laser Universe Quarterback Blog Rental Capital Contact Us Older Site