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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

Page maintained by rbeveridge