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Mathematica Trainer and Consultant: Ed Packel


Address
Lake Forest College
Department of Mathematics and Computer Science
555 North Sheridan Road
Lake Forest, IL 60045-2338

web: http://math.lfc.edu/packel

email: packel@math.lfc.edu

phone: 847-735-5155

fax: 847-735-6291


Background

Ed Packel, Volwiler Professor of Mathematics at Lake Forest College, has been actively involved since 1989 in using Mathematica in his teaching, in lectures and presentations, and in a variety of workshops in the United States and Australia. Mathematica-related books include Animating Calculus: Mathematica Notebooks for the Laboratory (with Stan Wagon) and Mathematica for Mathematics Teachers, available in the Wolfram Research Online Bookstore.

Ed's "Mathematica in the Mountains" (now called "Rocky Mountain Mathematica") introductory workshop, offered in Silverthorne, Colorado, for the past four summers, elicited the following testimonial: "The enthusiasm and excitement by the instructor was contagious. The presentations were concise, pertinent, clear, and certainly usable at our institution. The materials...will be useful in several of the classes I teach (physics, physical chemistry, mathematics) for some time in the future" (Charles Wakefield, The University of Texas of the Permian Basin).

Ed has an undergraduate degree from Amherst College and a Ph.D. in mathematics (functional analysis) from MIT. He has published over 40 mathematics papers and has authored, in addition to his Mathematica books, The Mathematics of Games and Gambling (winner of the M.A.A. Book Prize) and Functional Analysis: A Short Course.


Consulting Information

Ed Packel has used Mathematica since 1989 and has been a Mathematica consultant since 1995.
  • Expertise
    • Probability theory, game theory
    • Simulation applied to gambling games
    • Mathematica in teaching mathematics

  • Major Clients
    • Numerous colleges/universities in the U.S., one in Australia, one in Thailand
    • Individual tutorials with an Arthur Andersen consultant
    • Ameristar Casinos, Inc.

  • Education
    • B.A. in Mathematics, Amherst College, 1963
    • Ph.D. in Mathematics (Functional Analysis), Massachusetts Institute of Technology, 1967

  • Computer Language Experience in Addition to Mathematica
    • Pascal
    • JavaScript

  • Platform Experience
    • Windows
    • Macintosh

  • Languages Spoken
    • English

  • Geographic Area of Operation
    • Anywhere
    • U.S. preferred


Consulting Case Study

Situation
Casino wishes to investigate relationship between longevity of play and house edge for poker video.

Critical Issue
In what sense does a maximum machine payoff give added time of play for fixed initial stake?

Reason
Client wants to advertise more effectively and also accurately in mathematical sense.

Capabilities Needed
Calculations and a general program that will give answers to issue raised above are required.

Provided
Mathematica output and general Mathematica code to answer question raised above were provided.

Result
Over a period of three weeks Mathematica routines were developed to simulate various situations and provide results. Client gained a more accurate picture of what kind of claims could be made with mathematical integrity. This enabled client to fine-tune casino's advertising and make it more specific and accurate.



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