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2 June 1997 Vol. 2, No. 22 THE MATH FORUM INTERNET NEWS Mathematical Modeling | Unsolved Problems | LaGrange Students From the CONNECTED CURRICULUM PROJECT MATHEMATICAL MODELING IN A REAL AND COMPLEX WORLD by Frank Wattenberg http://ascc.carroll.edu/ccp/modeling/topic.htm "Among the first customers for a new car are engineers from competing companies. They need to know what their competition is doing and how. One of the most important tools for figuring out how a competitor's product works is reverse engineering. Engineers have a general idea of the tools used by their competitors and they can use their own ideas to try to reconstruct what competing engineers have done. This course is about modeling, or reverse engineering - not just reverse engineering a car or a piece of software but reverse engineering the world in which we live - determining the how behind the what of the spread of an epidemic, the motion of the planets, the start of a war, or inflation." Contents: - Simple Building Blocks - Complex Structures - Discrete Models - Probabilistic Models - Continuous Models - Optimization Models -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- UNSOLVED MATHEMATICS PROBLEMS (1) A COLLECTION FROM STEVEN FINCH http://www.mathsoft.com/asolve/ An eclectic group of questions and partial answers from a member of the MathSoft R&D Team. Finch is less interested in reporting the latest incremental advances on well-known problems than in publicizing little-known ones. With links to related sites, his page includes: - Favorite Mathematical Constants - The Miraculous Bailey-Borwein-Plouffe Pi Algorithm - On a Generalized Fermat-Wiles Equation - Ulam s-Additive Sequences - Random Binary Trees Grown via the Galton-Watson Branching Process - A Convex Maximization Problem - Zero Divisor Structure in Real Algebras - Linear Independence of Exponential Functions - Self-Avoiding Walks of a Rook on a Chessboard \|/ (2) UNSOLVED PROBLEM OF THE WEEK ARCHIVE - MATHPRO PRESS [MathPro has moved to: http://problems.math.umr.edu/home.html] http://www.mathpro.com/math/puzzles/unsolvedMathProblems/archive.html Postings of some difficult yet interesting problems that mathematicians are investigating, with references to more information about the topics. http://www.mathpro.com/math/puzzles/unsolvedMathProblems/references.html Although these problems can be understood by the average person, mathematicians have been unsuccessfully working on them for many years. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- STUDENT TESSELLATIONS - LAGRANGE HIGHLANDS ELEMENTARY http://mathforum.org/alejandre/students.tess.html#lagrange Matt Kuntz's 3rd, 4th, and 5th grade students in the Program for Accelerated Learning at LaGrange Highlands Elementary School, LaGrange, IL, join pupils of Suzanne Alejandre and others in using Suzanne's tutorials and templates to make their own tessellations. Their imaginative, colorful work illustrates the ease with which these tutorials can make translational symmetry accessible to elementary school students. We've featured these new tessellations in the Math Forum's Student Showcase: http://mathforum.org/students/showcase/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problem of the Week http://mathforum.org/geopow/ Internet Resources http://mathforum.org/~steve/ 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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