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23 July 2001 Vol. 6, No. 30 THE MATH FORUM INTERNET NEWS The NASA "Why?" Files | Karl's Calculus Tutor Nonstandard Analysis and the Hyperreals - Dr. Math FAQ THE NASA "WHY?" FILES http://whyfiles.larc.nasa.gov/new_opener.html The NASA "Why?" Files Series is a standards-based, technology focused, closed-captioned, distance learning initiative designed to integrate and enhance the teaching of mathematics, science, and technology in grades 3-5. The 2000-2001 series titles were: - The Case of the Unknown Stink - The Case of the Barking Dogs - The Case of the Electrical Mystery - The Case of the Challenging Flight Each NASA "Why?" Files program includes three components: a 60-minute video, a teacher-parent lesson guide, and web-based activities and materials. The integrated video, teacher-parent lesson guide, and web site complement one another and connect the classroom, the home, the community, and the world. Re-broadcasts of the series can be found on the NASA TV education schedule: http://spacelink.nasa.gov/education.file/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- KARL'S CALCULUS TUTOR http://www.netsrq.com/~hahn/calculus.html#toc A first year calculus tutorial written by Karl Hahn is provided with a number of pages to support students including: - Math Notation over the Web - Why Bother to Learn Calculus - Stuff You Should Already Know - Study Tips - Number Systems and Their Properties - Limits - Continuity - Derivatives - Applications of Derivatives - Exponentials and Logarithms - Trig Functions - More Tricks with Derivatives - Integrals - Methods of Integration To search for a specific concept, try this page: http://www.netsrq.com/~hahn/calculus.html#index A review of algebra is included under Stuff You Should Already Know: http://www.netsrq.com/~hahn/notes.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- New from the Dr. Math FAQ NONSTANDARD ANALYSIS AND THE HYPERREALS Jordi Gutierrez Hermoso http://mathforum.org/dr.math/faq/analysis_hyperreals.html An introduction to the most basic ideas of nonstandard analysis and the hyperreal number system, written in answer to a number of questions sent to Ask Dr. Math. Contents include: - A Very Brief History of Almost-Nothing and More-than-Everything - The Hyperreal Wish-List - Construction of the Hyperreal Numbers - Hyperreal Arithmetic - Functions and Extensions - The *-Transform and the Transfer Principle - From Here On - Note on Symbols -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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