Math Forum Internet News

Volume 2, Number 22

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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


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               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

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  (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. 


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   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/


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