 Advanced Topics in Mathematics  Anthony Beckwith
Page for a high school course exploring fractals, the Global Positioning System, number theory, topology, chaos theory, and the history of mathematics. Syllabus and brief description of each topic.
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 The Analemma 
Bob Urschel, Valparaiso, IN
The figure8 path that the sun makes in the sky is called the analemma. This site explores the paths of the sun and the earth, with investigations into the effects and the math of their elliptical orbits and earth's tilt, and a summation.
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 Ancient Mathematics  SunSITE's Vatican Exhibit; Library of Congress
Math history: math and astronomy in the ancient world. Greek Mathematics, Ptolemy's Geography, Greek Astronomy. Scholarship supported science in this world where faith and science were not yet seen as two irreconcilable cultures. Euclid (Elements, Optics);
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 Archimedes  Chris Rorres, Drexel University
A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes
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 Arithmetic (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
A short article on arithmetic: fundamental definitions and laws; theory of divisors; fractions; and decimals.
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 AskAScientist Archives  Newton BBS, Argonne National Laboratory
Frequently asked astronomy, biology, chemistry, computer science, engineering, environmental, general, physics, and mathematics question posts, replies from NEWTON, an Electronic Bulletin Board System (BBS) for Science, Math, and Computer Science K12
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 Astronomiae Historia / History of Astronomy  International Astronomical Union, Astronomische Gesellschaft
General history of astronomy pages on the Web: a catalog of archives and libraries, museums, memorials, historical places and exhibits, research institutes and departments, publications, and other sources of information. Visitors can read five different
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 Astronomical Image Processing System (AIPS)  National Radio Astronomy Observatory
A software package for calibration, data analysis, image display, and plotting of astronomical data.
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 Astronomy and Astrophysics  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to astronomy and astrophysics: as celestial mechanics is, mathematically, part of Mechanics of Particles, the principal applications in this area appear to concern the structure, evolution, and interaction
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 Astronomy Calculator  R.T. Back
The Astronomy Calculator provides general information about the phases of the moon and planets, and annual meteor showers. You supply the date, time of observation, and the number of hours east and west from directly overhead.
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 Bessel, Friedrich Wilhelm (Funk & Wagnalls Multimedia Encyclopedia)  Lycos Zone: Mathematics
A short biography of Friedrich Wilhelm Bessel (17841846), the German astronomer and mathematician, best known for making the first accurate measurement of the distance to a star.
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 Boost Your Skills With ATI Courses!  Applied Technology Institute (ATI)
A center for technical training in the form of short courses and distance learning
in space, communications, defense, sonar, radar, and signal processing.
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 A Brief History of Cosmology  MacTutor Math History Archives
A hypertext essay describing the course of cosmology from its beginnings in early Babylonian society through the present, with References.
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 Brightest Moon for Thousands of Millennia? (Math Chat)  Frank Morgan, MAA Online
Answer to the challenge: Was there any validity to the claim that the full moon of December 22, 1999 was the brightest that we shall see for millions of years? (Factors that coincided.) New challenge: Eric Brahinsky saw in an article on "New molecule
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 Calculators OnLine Center  Martindale's Reference Desk
Online software and Java applets that calculate quantities for a number of general and specific uses. Numerous "calculators" available for Code Translators, Distance/How Far is it?, Finance, Taxes, Grade Point Average, Logic & Syllogism, Navigation/GPS,
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 Calendars and Astronomy (Math and the Heavens)  Dave Rusin, The Mathematical Atlas
Moreorless mathematical posts related to calendars and astronomy: background information on calendar traditions and a discussion of the mathematical aspects of the calendar, with a pointer to the Calendar FAQ; the related questions, on which day of
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 Celestial Mechanics and the Stability Problem  Jeff Suzuki, Boston University
A thesis that traces the history of the problem of proving (or not) that the solar system is dynamically stable over a long period of time (like geological eras), between the publication of the Principia of Newton (1687) and the works of Laplace (1787).
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 Center for Earth and Planetary Studies (CEPS)  National Air and Space Museum, Smithsonian Institution
CEPS performs original scientific research and outreach activities on topics covering planetary science, terrestrial geophysics, and the remote sensing of environmental change. The Center has curatorial responsibility for two galleries in the National
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 Center for Space Research (CSR)  Massachusetts Institute of Technology (MIT)
The CSR upports a broad range of spacerelated research by scientists in many departments. Current topics range from theoretical cosmology and astrophysics to laboratory and flight experiments and groundbased observations. Laboratory facilities include
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 Challenger Center for Space Science Education
A notforprofit organization committed to promoting science literacy. Partnering with museums, science centers, schools, universities, and communities across North America, Challenger Center uses the theme of space exploration to create positive learning
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 Chaos vs. Determinism  Harold Brochmann
Recursive vs. Newtonian Functions  two ways of calculating the value of an investment; The Real World  how do things work in reality? (planetary orbits); The Logistic Function  a study of population growth and extinction.
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 Circles in the Sky  Ivars Peterson; Science News Online
Detecting the shape of the universe: evidence of a finite, multiply connected universe may show up in microwave data from future spacecraft.
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 Conics (Manipula Math)  International Education Software (IES)
Java applets to investigate the conic sections, including different ways to draw them, their reflective properties, and the shapes traced by shadows at different latitudes.
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 The Constants and Equations Pages  Jonathan Stott
A growing reference resource providing alphabetically listed categories of some of the more important and useful aspects of maths and special sections on numbers, algebra, trigonometry, integration, differentiation, and SI units and symbols, with in addition
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 Cool Cosmos  Education and Public Outreach Group, Infrared Processing and Analysis Center and the SIRTF Science Center
To communicate the world of infrared astronomy to the public, the Cool Cosmos web site offers: classroom activities; infrared light lessons; infrared astronomy tutorial and timeline; multiwavelength astronomy; Ask an Astronomer; Cosmic Kids; image galleries,
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 C.T.J. Dodson  Christopher Dodson
Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and precalculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves,
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 The Dance of Chance Science Museum Exhibit  Center for Polymer Studies, Boston University
An online version of an exhibit focused on the emergence of patterns in Nature from physical and biological processes that appear to be chaotic. Exhibit kiosks, many of which are fractals, include Music of the Heart, Frozen Lightning, Erosion, Viscous
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 EarthKAM  Sally Ride Science
An educational outreach program of the National Aeronautics and Space Administration (NASA), EarthKAM stands for "Earth Knowledge Acquired by Middle school students." Search the collection of images of specific locations on Earth, as photographed from
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 Education Resources for Oceanography and Earth Sciences  JPL Physical Oceanography DAAC
A list of documents, data, and software for Education from NASA, UNESCO, the U.S. Geological Survey, the Jet Propulsion Laboratory (JPL), The National Center for Atmospheric Research (NCAR), National Space Science Data Center (NSSDC), etc.
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 Emilio Segrč Visual Archives  American Institute of Physics (AIP)
A collection of some 25,000 historical photographs, slides, lithographs, engravings, and other visual materials, focusing on American physicists and astronomers of the twentieth century, but including many scientists in Europe and elsewhere, in other
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 EnviroNET  Space Environment Information  Messore and Chrissotimos; Goddard Space Flight Center
An online service for the space environment community in support of NASA's engineering and scientific goals, providing models and information on the space environment via the Internet. The EnviroNET programming group is staffed entirely by students who
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 Escape Velocity Calculator  Brian Martin
This minimal javascript tool calculates the escape velocity of a body given the body's mass and radius (sample data are provided for the Earth, the Moon, Jupiter, and the Sun).
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 The Event Inventor  Kye Ewing
Science, math, and technology explorations with no experience necessary. (Explorations can often be done by older children with no help.) Make your own quadrant and cross staff and explore the world around you  measuring heights of buildings or trees
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 Expanding Universe: a classified search tool for amateur astronomy  Daniels, Enright, Gliddon, & SenRoy
A collection of sites organized using a modified Dewey Decimal Classification, to make searching the web more like browsing a library shelf. Includes an alphabetical terms list for searching and a request for more sites.
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 ExploreLearning.com  ExploreLearning
A library of virtual manipulatives called "Gizmos", primarily for grades 312, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and collegelevel
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 Fisica Legal (Cool Physics)  Professor Ricardo
Download several educational programs for teaching and learning Physics, Math, Chemistry and Astronomy. Presently this page is in Portuguese although most of programs are in English. All of the software is freeware. Also features tutoring, chats, discussion
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 From Galaxies to Electrons (Math Chat)  Frank Morgan, MAA Online
What are the largest and smallest objects anyone has ever seen with the naked eye? heard? felt? (For the first part, the whole object must be seen, though not necessarily in full detail or from every side.)
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 Future of Leap Seconds  Steve Allen
Allen, an astronomer, discusses leap years, leap seconds  and how to avoid their use when redefining Coordinated Universal Time (UTC): three pictures that show the situation; elapsed time (JavaScript that shows POSIX's inability to provide an interface
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 The Futures Channel
Curriculum resources in math and science to help educators connect learning to the real world for their students. The Futures Channel also provides professional development resources with content from master teachers Kay Toliver and Jaime Escalante. Some
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 The Galileo Project  Rice University
On the life and work of Galileo Galilei (15641642) and the science of his time. The project has a searchable database and includes an online tour of Galileo's Villa; reference materials; the Catalog of the Scientific Community of the 16th and 17th Centuries;
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 The Galileoscope™  International Year of Astronomy
Highquality, lowcost, easytoassemble telescope kits developed for the International Year of Astronomy (2009) in celebration of "... the celestial wonders that Galileo Galilei first glimpsed 400 years ago and that still delight stargazers today. These
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 Gauss's Orbits  Ivars Peterson (MathTrek)
During the latter part of 1801, Gauss brought his formidable powers to bear on celestial mechanics. Like a skillful mechanic, he systematically disassembled the creaky, ponderous engine that had long been used for determining approximate orbits and rebuilt
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 Geometry In Action  David Eppstein, Theory Group, ICS, UC Irvine
A collection of applications of computational geometry: areas in which ideas from discrete and computational geometry (meaning mainly lowdimensional Euclidean geometry) meet some real world applications, with brief descriptions of those applications
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 Geophysics  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to geophysics: applications typically involve material in Mechanics and Fluid mechanics, but for largescale problems (this subject deals with a very big solid and a large pool of fluid).
With the advent
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 The Geowall Consortium  Paul Morin, Peter van Keken, and Jason Leigh
The consortium aims to broaden the use of scientific visualization tools for Earth science research and education by the use of low cost virtual reality visualization devices, arguing that "A combination of new projection technology, fast graphics cards
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 GFBrandenburg's Blog  Guy Brandenburg
In his opening post, Brandenburg wrote, "I have been doing some research on educational progress (or lack thereof) in the Washington, DC school system before and after the reign of our mediadarling school Chancellor, Michelle Rhee...." The retired high
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 Greek Astronomy  MacTutor Math History Archives
Linked essay tracing the history of Greek astronomy from its beginnings with
Thales, in philosophy and timekeeping, through Pythagoras, Eratosthenes,
Hipparchus, Ptolemy, Plato, Aristotle, Aristarchus, and many others; with
references to relevant
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 Greek Mathematics and its Modern Heirs  SunSITE's Vatican Exhibit; Library of Congress
Classical roots of the scientific revolution. An essay on the history of Greek Math, with sample math problems. Covers Euclid's Elements and Optics, Archimedes' Works, Piero della Francesca's De quinque corporibus regularibus, and links to Ptolemy's Geography
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 HandsOn Universe (HOU)  Lawrence Berkeley National Laboratory
An education program that helps high school students perform astronomical research in the classroom. Students around the world can request observations from an automated telescope, download images from a large image archive, and and analyze them with
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 Heavenly Mathematics: Highlights of Cultural Astronomy  Helmer Aslaksen
An interdisciplinary course that begins by discussing the relative motion of the Sun, Earth, and Moon, and follows with other fundamental concepts of astronomy.
Course content includes astronomy, astrology, calendars (Gregorian, Chinese, Islamic, Indian),
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