81. Archbishop Shaw High School - Academics American history; World history; calculus; Computer Science II; Analysis; Chemistry; Algebra I; Biology. Top Top. Geometry; Physics; Algebra II; English I, http://www.archbishopshaw.org/academics.htm

82. Webquest Historical Roots Of Calculus calculus is a subject many students dread. It is the way mathematicians study If this WebQuest has given you an interest in the history of science and http://coe.west.asu.edu/students/msyrkel/webquestcalculus.htm

"Two things are infinite: the universe and human stupidity; and I'm not sure about the universe." Albert Einstein Introduction Task Process and Evaluation Conclusion and Extension ... Favorite Sites Webquest The Historical Roots of the Calculus "As its campfires glow against the dark, every culture tells stories to itself about how the gods lit up the morning sky and set the wheel of being into motion. The great scientific culture of the Westour cultureis no exception. The calculus is the story this world first told itself as it became the modern world." From: A TOUR OF THE CALCULUS by David Berlinski Introduction Calculus is a subject many students dread. It is the way mathematicians study moving objects, even fluids like the movement of air across an aircraft wing that gives it lift making flight possible. It was calculus that first allowed Newton to describe the motion of planets. Calculus made modern science possible and no physical theory has ever broken the link to the calculus. Length, Volume, Area, these are static. If you want to study motion, you must study the calculus. "The overall structure of the calculus is simple. The subject is defined by a fantastic leading idea, one basic axiom, a calm and profound intellectual invention, a deep property, two crucial definitions, one ancillary definition, one major theorem, and the fundamental theorem of the calculus.

83. The Calculus (from Mathematics, History Of) --  Encyclopædia Britannica The calculus (from mathematics, history of) The historian Carl Boyer has called the calculus “the most effective instrument for scientific investigation http://www.britannica.com/eb/article?tocId=66005

84. Making The Calculus Rigorous (from Mathematics, History Of) --  Encyclopædia B Making the calculus rigorous (from mathematics, history of) Monge s educational ideas were opposed by Lagrange, who favoured a more traditional and http://www.britannica.com/eb/article?tocId=66017

85. Honors Calculus - History Links Honors calculus history Links. Instructor Dr. Jenny McNulty. Leibniz. Biography from the MacTutor history of Math Archive; Biography from Wikipedia, http://www.math.umt.edu/mcnulty/152H/calchistory.html

Honors Calculus History Links Instructor: Dr. Jenny McNulty Leibniz Biography from the MacTutor History of Math Archive Biography from Wikipedia, the free encyclopedia. Overview of Leibniz's life, science, beliefs Philosophy: Metaphysics Newton Biography from the MacTutor History of Math Archive Biography from Wikipedia, the free encyclopedia. Overview of Newton's life, science, beliefs Biography from the BBC Timeline of events in Newton's life Timeline of historical events and events in Newton's life Purchase a copy of Newton's Principia Science of Newton The Royal Society: Past and Present Other Natural Philosophers in Newton's Life Robert Hooke Christiaan Huygens John Wickins Christopher Wren John Barrow Edmund Hally John Locke Nicolas Fatio de Duillier Other People in Newton's Life John Conduitt, Catherine Barton, Charles Montague: story and pictures Alchemy What is ... Newton the Alchemist Newton vs. Leibniz and The Calculus History of Calculus The Calculus Controversy Our Notation from their quarrel More Notation

86. Scholars Decode Ancient Text, Shake Up Pre-calculus History: 11/02 Scholars decode ancient text, shake up precalculus history. BY JOHN SANFORD. Reviel Netz, an assistant professor of classics, might not have actually http://news-service.stanford.edu/news/november6/archimedes-116.html

Stanford Report, November 6, 2002 Scholars decode ancient text, shake up pre-calculus history BY JOHN SANFORD Reviel Netz, an assistant professor of classics, might not have actually shouted "Eureka!" on a visit last year to the Walters Art Museum in Baltimore, but that's what he was thinking. A scholar of Greek mathematics, Netz was hanging out with one of his colleagues and frequent collaborators, Professor Ken Saito of the Osaka Prefecture University in Japan, when they flew together to Baltimore in January 2001 to look at a recently rediscovered codex of Archimedes treatises. "It was basically just tourism," Netz recalled. On a lark they examined a theretofore unread section of The Method of Mechanical Theorems , which is the book's biggest claim to fame; no other copy of the work is known to exist. What they discovered made their jaws drop. A section from The Archimedes Palimpsest, which classics Professor Reviel Netz stumbled on during a visit to the Walters Art Museum in Baltimore. Closer examination showed the Greeks understood the concept of infinity. ROCHESTER INSTITUTE OF TECHNOLOGY, WALTERS ART MUSEUM, JOHNS HOPKINS UNIVERSITY

87. BRIEF HISTORY OF VECTOR CALCULUS A (Very) Short Note on the history of Vector calculus. Two traditions have been associated with the development of the concepts of a vector and vector http://www.math.mcmaster.ca/lovric/vcbook/history.html

A (Very) Short Note on the History of Vector Calculus Two traditions have been associated with the development of the concepts of a vector and vector operations. Since the time of Babylonians and Egyptians, there have been attempts to extend the notion of a (natural) number. (Natural numbers are numbers like 1, 2, 3, 4, etc.) Successive generalizations have added negative numbers, zero, fractions and irrational numbers, forming what is now known as the set of real numbers. An attempt to solve the equation x ^2 + 1 = led to the discovery of complex numbers, and their geometric interpretation in a two-dimensional coordinate system to the discovery of a vector. The second tradition relates to an eternal search for (mathematical) entities that could best describe physical phenomena. It suffices to use a single number (and a unit of measurement) to describe the distance between two cities, the area of a lake or the temperature on the surface of the Earth. However, to convey information on the velocity of a wind or on the attractive force of a planet, one needs to specify not only a number, but also a direction. Although, for instance, temperature is a scalar (scalar, in our context, is a synonym for a real number), the way it changes cannot be described using a number only if we fly south from Toronto we will experience an increase in the air temperature; but the temperature will decrease if we fly north. The need to describe a

88. Projects-Based Calculus Reform At Cornell: A Cross-Referenced History ProjectsBased calculus Reform at Cornell. A Cross-referenced history. (Others have brought Multivariable calculus with Maple to Cornell) http://barzilai.org/cr/calc-reform-hist.html

Projects-Based Calculus Reform at Cornell A Cross-referenced History (Others have brought Multivariable Calculus with Maple to Cornell) Spring 93: In his second consecutive semester of teaching second semester calculus (math 112), graduate student instructor Harel Barzilai introduces student activities in groups and oral exams (presentations at the board by students to him) in his class. (Also took students to Dept Seminar) Fall 93: Graduate students Harel Barzilai and Maria Gargova attend a talk at the Occasional Seminar on Undergraduate Teaching (OSUT) by Cynthia Woodburn of the University of New Mexico (UNM) about Student Projects in Calculus. Maria and Harel discuss, during office hours, their positive impressions of Cynthia's talk, and whether these ideas can be brought to Cornell. First Email. (Nov 4 93) Fellow graduate student and math 112 instructor Lisa Orlandi and others interested are sent a report about Maria's and Harel's activities... ...and about the problems with the current math 112 Harel writes up and sends the First Draft Proposal to reform math 112 Harel and Maria talk to Tom Rishel, Director of Undergraduate Teaching at the Math Department, about the idea of bringing calculus reform to Cornell.

89. Distance Calculus At Suffolk University Tutorials on calculus subjects ranging from precalculus to differential equations. Math tools and resource links. http://www.calculus.net/

Questions? E-Mail : info@distancecalculus.com or AIM/Chat : DistanceCalculus or Call Us @ [USA] 617.497.2096 Home Main Calculus Sequence Liberal Arts Calculus Introduction to Computer Science - ... How Quickly Can I Finish The Course? Celebrating Our 8th Year of Teaching On-Line Suffolk University is a fully-accredited university -one of the "big 25" universities in Boston, Massachusetts- Internationally known for its Law and Management Schools All Distance Calculus Courses are offered through the Computer Science Department at Suffolk University. DISTANCE CALCULUS COURSE OFFERINGS Engineering/Science Calculus Courses (each available in 3 or 4 Semester Units) Liberal Arts General Education Courses Introduction to Computer Science [using PHP] (3 Semester Units each) Are You Trying To Learn Calculus In A Lecture Hall? Are You Bored? Frustrated? Can't Fit Calculus Into Your Work/Class/Life Schedule? Need to Try Calculus a Different Way? The Usual: Calculus in a Lecture Hall a big classroom, sometimes with hundreds of other students classtime that may not fit into your work or course schedule writing down notes like a stenographer noisy lecture halls make it difficult to concentrate long, boring homework assignments

90. Cool Math .com - An Amusement Park Of Math And More! An amusement park of mathematics. Puzzles and number problems, fractals, geometry, calculus, algebra, online games, online calculators, and links. http://www.coolmath.com/

Coolmath.com An amusement park of math designed for fun! Bored with math? Confused by math? Hate math? Yeah, Coolmath can fix that. Cool math Highlights: Our new site: FinanceFREAK.com Coolmath Algebra Math Reference Area (math formulas, etc.) Lemonade Stand (business math game) Same Game (a great math thinking game) Brain Bender Math Puzzles Coolmath Games (free online math games) Number Monster (great arithmetic practice) Monster Mind Reader (Can it read your mind?) Fractal Gallery (See how math makes art.) Graph IT (a free online graphing calculator) Fraction Lessons (lots of easy examples) Spike's Game Zone (free online games) Jigsaw Puzzles Cool Things (Amazing what math can do!)

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

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

92. Basic Calculus 13. Integral calculus Meaning and Methods. 14. Integral calculus and the Action of Forces calculus, Prerequistes and Applications a Flowchart http://www.nd.edu/~hahn/

Table of Contents Part I From Archimedes to Newton 1. The Greeks Measure the Universe 2. Ptolemy and the Dynamics of the Universe 3. Archimedes Measures Area 4. A New Astronomy and a New Geometry 5. The Calculus of Leibniz 6. The Calculus of Newton 7. The Principia Part II Calculus and the Sciences 8. Analysis of Functions 9. Connections with Statics, Dynamics, and Optics 10. Basic Functions and their Graphs 11. The Exponential Function and the Measurement of Age and Growth 12. The Calculus of Economics 13. Integral Calculus: Meaning and Methods 14. Integral Calculus and the Action of Forces The links Flowchart, Computations, and Use this Text, are pdf files that can be accessed with Acrobat Reader Calculus, Prerequistes and Applications: a Flowchart Possible ways to Use this Text About the Computations in this text This text has been published in Japanese in two volumes by Springer-Verlag, Tokyo. It was translated by Professor Kano Satoru, Faculty of Computer and Information Sciences, Hosei University, Tokyo.

93. Exterior Differential Calculus And Symbolic Matrix Algebra @ Mathematica Freeware enables Mathematica to carry out calculations with differential forms. http://www.inp.demokritos.gr/~sbonano/EDC/ExteriorDifferentialCalculus.html

Exterior Differential Calculus and Symbolic Matrix Algebra @ Mathematica Overview This package enables Mathematica to carry out calculations with differential forms. It defines the two basic operations - Exterior Product (Wedge) and Exterior Derivative (d) - in such a way that: (1) they can act on any valid Mathematica expression (2) they allow the use of any symbols to denote differential forms (3) input - output notation is as close as possible to standard usage There are two versions of this package: scalarEDC and matrixEDC . The first can handle scalar differential-form expressions only, while the second can also handle matrix-valued differential forms, i.e., matrices whose components are (scalar) differential forms. Both versions are included in the compressed files below. The matrix package, offering user-controlled application of trace identities and the Cayley-Hamilton theorem, can also be used for symbolic matrix calculations. Version 3.3.5 allows Wedge and d to act on expressions that are series expansions ( SeriesData objects).

94. Free Textbook Tensor Calculus And Continuum Mechanics Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF. http://www.math.odu.edu/~jhh/counter2.html

OLD DOMINION UNIVERSITY COLLEGE OF SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS John H. Heinbockel Professor Emeritus Department of Mathematics and Statistics Old Dominion University Norfolk, Virginia 23529 I have completed writing what I consider to be an introductory text for applied mathematicians, physicists and engineers. The finished work is titled INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS In Part One I have included introductory topics in tensors, differential geometry and relativity. Part Two presents basics from the areas of continuum mechanics (dynamics, elasticity, fluids, electricity, magnetism). The final section covers an introduction to quaternions, multvectors and Clifford algebra. You can purchase the final version of this project by Clicking Here Catalogue number is 01-0535. The free version below represents about 80% of the final version. From this free version you can see what you are getting. What the final version has that the free version does not have: 1. Additional worked examples.

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

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

96. Fred Rickey A tour of the USMA library for those interested in the history of Mathematics. Information about a minicourse on teaching history of mathematics. http://www.dean.usma.edu/math/people/rickey/hm/default.htm

Fred Rickey's History of Mathematics Page There are two groups in the US which meet regularly and read original sources. ORESME meets in the Cincinnatti area and ARITHMOS meets at Western Connecticut State Universtity. Full details are available on their web sites. Here is some additional information: Both groups have read some of the works of Georg Cantor (here are some works by and about him ). ARITHMOS has discussed John Wallis and also had a meeting about Twentieth Century Logic where they read papers by Church Turing Post's critique ), and Post . Of necessity, these groups are small, but if you have a serious interest in history you ought to think of starting your own. The February 2005 meeting deals with Euler's Introductio . I have written a A Reader's Guide to Euler's Introductio . Here is a list of errata in Blanton's translation of Euler's Introductio. Dominic Klyve and Lee Stemkoski, graduate students at Dartmouth, have a page listing all of Euler's publications , and copies of some of them. Links to History of Mathematics on the web.

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

98. Math For Morons Like Us Covers concepts that are used in algebra and geometry, as well as an overview of calculus terms. Includes explanations on how to use the number line, working with formulas, fractions, square roots, graphs, parallel lines, triangles and areas. Also has a message board and short quizzes. http://library.thinkquest.org/20991/home.html

Please take a moment to read the Introduction Math for Morons Like Us - Home Page /20991/home.html ThinkQuest Team 20991

99. Calculus 1.0 - Software For Windows By Ashay Dharwadker Software for Windows by Ashay Dharwadker. Compute and graph functions, derivatives and integrals. Free limited evaluation version. http://www.geocities.com/dharwadker/calculus.html

Research Profile Teaching Software ... Get in touch... Calculus 1.0 New! 2005 Edition Software for Windows 95/98/2000/Me/NT/XP Try Calculus 1.0: The free trial version has over 200 examples that demonstrate all the features in detail. However, you cannot input new functions or modify the preset parameters. If you like the software and find it useful, buy Calculus 1.0. Buy Calculus 1.0: Buy Calculus 1.0 for $4.95 USD (or equivalent international currency) on a secure PayPal hosted payment page. The registered version of Calculus 1.0 (with a single user license) will be delivered to you by email as soon as PayPal processes your payment. Features: Calculus 1.0 provides you with all the computational tools and graphical techniques of single variable calculus: Graph a function y=f(x). Evaluate a function y=f(x) at x=c and estimate limits as x c or x Graph the first derivative f'(x). Graph the second derivative f''(x). Draw the tangent line and calculate the derivative value f'(c) at x=c. Graph the indefinite integral F(x) such that F'(x)=f(x), according to the fundamental theorem of calculus. Calculate the definite integral between x=a and x=b and draw the corresponding area under the curve.

100. Multivariable Calculus Textbook by George Cain and James Herod. Chapters in PDF. http://www.math.gatech.edu/~cain/notes/calculus.html

Multivariable Calculus George Cain James Herod This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe Title page and Table of Contents Table of Contents Chapter One - Euclidean Three Space 1.1 Introduction 1.2 Coordinates in Three-Space 1.3 Some Geometry 1.4 Some More GeometryLevel Sets Chapter Two - VectorsAlgebra and Geometry 2.1 Vectors 2.2 Scalar Product 2.3 Vector Product Chapter Three - Vector Functions 3.1 Relations and Functions 3.2 Vector Functions 3.3 Limits and Continuity Chapter Four - Derivatives 4.1 Derivatives 4.2 Geometry of Space CurvesCurvature 4.3 Geometry of Space CurvesTorsion 4.4 Motion Chapter Five - More Dimensions 5.1 The space R n 5.2 Functions Chapter Six - Linear Functions and Matrices 6.1 Matrices 6.2 Matrix Algebra Chapter Seven - Continuity, Derivatives, and All That 7.1 Limits and Continuity

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