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Richard W. Beveridge

Mathematics Instructor

Clatsop Community College

 

 

Education:

University of Maine, Orono, Maine

M.A. in Mathematics, May 2004

 

University of Maine, Orono, Maine

B.A. in Mathematics, May 2002

 

Oklahoma City University, Oklahoma City, Ok.

M. Ed. in Gifted and Talented Education, August 1992

 

University of Virginia, Charlottesville, Va.

B.A. in French Language and Literature, May 1987

Minor in Mathematics

 

Publication and other writing

"Friday the 13th and the Mathematics of the Gregorian Calendar."(pdf 113KB)

Mathematical Connections , 2003, published by Augusta State University, Augusta, Georgia.

 

Mathematics, Communication and Secrecy

(pdf 151KB)

 

e : A Conceptually Defined Number

(pdf 132KB)

 

The Disquisitiones Arithmeticae of Carl Friedrich Gauss and the group Z(p)*

(pdf 214KB)

 

Teaching:

 

Clatsop Community College, Astoria, Oregon

Mathematics Instructor 2004-present

Courses:

MTH 010 Math Improvement

MTH 060 Pre-Algebra

MTH 070 Beginning Algebra

MTH 095 Intermediate Algebra

MTH 111 College Algebra

MTH 112 Trigonometry

MTH 116 Pre-Calculus

MTH 251 Calculus I

MTH 252 Calculus II

MTH 253 Calculus III

HUM 102 Technology and Privacy

HUM 299 History of Math

 

University of Maine, Orono, Maine

Teaching Assistant 2003-04

Courses:

MAT 108 Mathematics for Elementary Teachers

MAT 126 Calculus I

MAT 400 Mathematics for High School Teachers: An Advanced Perspective (TA)

 

University of Maine, Orono, Maine

NSF Teaching Fellow, Old Town and Orono, Maine, 2002- 03

 

University of Maine, Orono, Maine

Adjunct Instructor, 2000-2002

Courses:

MAT 101 The Nature and Language of Mathematics

MAT 111 College Algebra

 

Maine Central Institute, Pittsfield, Maine

Mathematics Teacher, 1999-2000

Courses:

Pre-Calculus with Trigonometry, Algebra I, II, Geometry

 

Ellsworth High School, Ellsworth, Maine

Mathematics Teacher 1998-99

Courses:

C++ Programming, Algebra II (Honors), Geometry (Honors), Algebra I, Pre-Algebra

 

Hopi Jr/Sr High School, Hopi Indian Reservation, Polacca, Arizona

Mathematics Teacher 1995-1997

Head of Mathematics Department 1997

Director of Gifted Program 1995, 1997

Courses:

Geometry, Algebra I, Pre-Algebra, Basic Math, 8th grade math, 7th grade math

 

The Desisto School, Stockbridge, Massachusetts
Mathematics Teacher 1994-95

Courses: Algebra II, Geometry, Algebra I, Pre-Algebra, Financial Markets

 

Huntington Learning Center, Yorktown Heights, New York.

Mathematics Teacher 1993-94, 1998

Math Director 1995

 

Areas of Research Interest:

Analysis, Algebra, Number Theory and Cryptography

My interests in pure mathematics are not focused on a particular area of research. I have many different interests and work on them as time and opportunity allow. I tend to write historically motivated general interest articles that might appeal to non-mathematicians, mathematics teachers and students or mathematicians from another area of specialization.

In the spring of 2003, I researched ideas related to the application of analysis and topology to fractals using the work of Michael Barnsley and Gerald Edgar and presented this research in a series of two one-hour lectures.

I have also researched the distribution of complex primes and the properties of the Gaussian integers as a Euclidean Ring. Using Gauss' work in Disquisitiones Arithmeticae , I wrote a paper tracing the arguments Gauss used in proving that what is today known as the multiplicative group Z( p )* is cyclic for all primes p. In addition, I completed a paper that is a historical consideration of the application of the ideas of Gauss and Euler by Whitfield Diffie and Martin Hellman to create the fundamentals of public-key cryptography.

I became interested in cryptography as a result of reading the first section of Prof. Neal Koblitz's book A Course in Number Theory and Cryptography . I researched the RSA Cryptosystem and Diffie-Hellman key exchange and the algebraic number theory that underlies these processes. I later used this research as a basis for a unit on modular arithmetic that I taught in the MAT 101 course at the University of Maine. A second unit for MAT 101 was based on number systems in bases other than 10. The students calculated in other bases using standard algorithms and considered the creation of fractions in base 12 (duodecimals). This activity was subsequently adapted by Professor John Donovan for a week of lessons for his MAT 400 course for teachers in which I participated as a teaching assistant.

 

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Last Updated: 
October 30, 2013, 10:30 am
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