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Scholarship Project

Bryan Dawson

University Professor of Mathematics

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58 Results

Book(s), Monograph(s) or Book Chapter(s)

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Peer-Reviewed Journal Article(s)

  • "," Journal of Logic & Analysis, 16:6, 1-17. (December 2024) (with Samuel Allen Alexander)
  • "," Math Horizons, 29:3, 34. (February 2022)
  • "," The Mathematical Intelligencer, 42 (4), 30-32. (December 2020)
  • "," College Mathematics Journal, Volume 50, Number 5, 331-342. (November 2019)
  • "," Missouri Journal of Mathematical Sciences, Volume 31 Number 1, May 2019, 46-55. (May 2019) (with Matthew Dawson (鈥�08))
  • "," The American Mathematical Monthly, Volume 125, Issue 02, 130-140. (February 2018)
  • "0.999...=1: An Infinitesimal Explanation," Math Horizons, Volume 24, Issue 2, 5-7. (November 2016)
  • "Highway Relativity," College Mathematics Journal, 35 No. 4, 246-250. (September 2004) (with Dr. Troy Riggs)
  • "," Missouri Journal of Mathematical Sciences, 16 No. 3, 168-172. (March 2004) (with Arpad Benyi)
  • "," PRIMUS, 11 No. 3, 228-234. (September 2001)
  • "Twentieth Century Student Scholarship: Student Papers in the Pentagon," The Pentagon, 60 No. 2, 21-36. (April 2001)
  • "An Algorithmic Version of Kuhn's Lone-Divider Method of Fair Division," Missouri Journal of Mathematical Sciences, 13 No. 3, 172-177. (March 2001)
  • "Using Graphs to Analyze SPorts Drafts," Missouri Journal of Mathematical Sciences, 11 No. 2, 73-79. (January 1999)

Denominational Publication Article(s)

  • "The Lottery: A Tax on the Mathematically Ignorant," Keep Tennessee Gambling Free: A Resource of the Baptist & Refllector, 5 & 30. (January 2002)

Conference Proceeding Article(s)

  • "Arithmetic Sequences, Diophantine Equations and the Number of the Beast," Proceedings of the Seventeenth Conference of the Assoc. of Christians in the Mathematical Sciences. (January 2009)

Other Article(s)

  • "You Might Be a Mathematician If.....," Math Horizons, 8. (April 2003)
  • "You Might Be a Mathematician If.....," Math Horizons, 35. (November 2002)

Presentation(s)

  • "Calculus with Infinitesimals: Simplifying Computations and Improving Understanding Using the Approximation Relation" Joint Mathematics Meetings (Indigenous Voices in Mathematics session), Seattle, WA. (January 2025)
  • "Teaching Calculus using Infinitesimals" Preconference Workshop (Association of Christians in the Mathematical Sciences), Sioux Center, IA. (May 2024)
  • "Approximating the Master: Reconciling Euler's Power Rule Proof with Modern Infinitesimal Analysis" 24th Biennial Conference of the Association of Christians in the Mathematical Sciences, Sioux Center, IA. (May 2024)
  • "JMM Workshop on Exploring the Teaching of Calculus Using Infinitesimals: Hands-on Practice in Issues Related to Curriculum Design" Joint Mathematics Meetings, Boston, MA. (January 2023)
  • "A Widely Applicable Nonstandard Test for Series Convergence" PRIMA Congress 2022, Indigenous Mathematical Scientists special session, Vancouver, BC, Canada. (December 2022)
  • "A Tale of Four Integrals" Colloquium at the University of North Alabama, Florence, AL. (October 2022)
  • "A Tale of Four Integrals" Colloquium at Christian Brothers University, Memphis, TN. (October 2022)
  • "A Tale of Four Integrals" Colloquium at Murray State University, Murray, KY. (October 2022)
  • "Exploring the Teaching of Calculus Using Infinitesimals: Hands-on Practice in Issues Related to Curriculum Design" Colloquium at the University of Memphis, Memphis, TN. (September 2022)
  • "The Nearly Universal, Easy-to-use Level Comparison Test for Series" 23rd Biennial Conference of the Association of Christians in the Mathematical Sciences, Azusa, CA. (June 2022)
  • "Big-oh Notations, Elections, and Hyperreal Numbers" (with Samuel Allen Alexander)
    23rd Biennial Conference of the Association of Christians in the Mathematical Sciences, Azusa, CA. (June 2022)
  • "The Nearly Universal, Easy-to-Use Level Comparison Test for Series" Mathematical Association of America Southeaster Section Centennial Section Meeting, Mount Berry, GA. (March 2022)
  • "The Hyperreal Numbers" KME 43rd Biennial National Convention, TN. (April 2021)
  • "The Lake Wobegon Paradox" Joint Mathematics Meetings, Denver, CO. (January 2020)
  • "Ongoing Adventures in Writing a Calculus Textbook" 22nd Biennial Conference of the Association of Christians in the Mathematical Sciences, Marion, IN. (May 2019)
  • "Unicorns and Zombies and Other Analogies to Help Students with Proofs" Joint Mathematics Meetings, Baltimore, MD. (January 2019)
  • "A New Extension of the Riemann Integral: From a Simpler Calculus to Analysis-Level Neat Stuff!" Mathematical Association of America Southeast Section meeting, Clemson, SC. (March 2018)
  • "Calculus Limits via Infinitesimals (they鈥檙e easier!)" faculty workshop at the KME 41st Biennial National Convention, Springfield, MO. (April 2017)
  • "A New Extension of the Riemann integral" Joint Mathematics Meetings, Atlanta, GA. (January 2017)
  • "Infinitesimals, Point Nine Repeating, and One" Joint Mathematics Meetings, Seattle, WA. (January 2016)
  • "A Successful Implementation of the Flipped Classroom in Mathematics" 20th Biennial Conference of the ACMS, Ancaster, Ontario, Canada. (May 2015)
  • "The Best of Both Worlds: The Flipped Classroom with a Moore Method Flavor for Undergraduate Analysis" Joint Mathematics Meetings , Baltimore, MD. (January 2014)
  • "Arithmetic Sequences, Diophantine Equations and the Number of the Beast" Seventeenth Conference of the Association of Christians in the Mathematical Sciences, Wheaton, IL. (May 2009)
  • "Writing a Textbook for the Homeschool Market" Sixteenth Conference of the Association of Christians in the Mathematical Sciences, Grantham, PA. (June 2007)
  • "A Website for Specific Examples of Integrating Faith and Learning in Mathematics" Fourteenth Conference of the Association of Christians in the Mathematical Sciences, San Diego, CA. (May 2003)
  • "It Can't Be Done - Or Can It?" University of Tennessee at Martin, Martin, TN. (February 2002)
  • "Highway Relativity" (with Dr. Troy Riggs)
    Joint Meetings of the American Mathematical Society and the Mathematical Association of America, San Diego, CA. (January 2002)
  • "Senior Seminar in Mathematics at 51社区" Joint Meetings of the American Mathematical Society and the Mathematical Association of America,, New Orleans, LA. (January 2001)
  • "KME Student Scholarship: 1931鈥擯resent" North Central Regional KME Convention, Atchison, KS. (April 2000)
  • "Logarithms: Exponentiation to Multiplication, Multiplication to Addition, Addition to ?" MAA Southeastern Section Meeting, Charlotte, NC. (March 2000)
  • "Some Thoughts on the Philosophy of Probability with Application to Confidence Intervals and Theology" MAA Southeastern Section Meeting, Memphis, TN. (March 1999)
  • "" Joint Meetings of the American Mathematical Society and the Mathematical Association of America, San Antonio, TX. (January 1999)

Award/Recognition(s)

  • Multi-rotor apparatus and method for motion sculpting, 2018
  • Multi-rotor apparatus and method for motion sculpting: A reversibly attachable muscle trainer includes a multi-arm structure with motion sensors and force generators for exercising opposing muscles of a person moving an implement so as to maintain an ideal movement. When attached to the implement, the muscle trainer trains the opposing muscles to consistently move the implement in an ideal way. While the person moves the implement with the muscle trainer attached, a processor receives signals from the motion sensors and determines differences between the actual implement motion and an ideal implement motion. The difference indicates a dominating force direction in which the dominating muscles urge the implement. The processor activates the force generators to apply external forces to the implement to urge the implement in various types of training force directions., 2015
  • Muscle training apparatus and method, 2014
  • Muscle training apparatus and method, 2013
  • A reversibly attachable muscle trainer includes a multi-arm structure with motion sensors and force generators for exercising opposing muscles of a person moving an implement so as to maintain an ideal movement. When attached to the implement, the muscle trainer trains the opposing muscles to consistently move the implement in an ideal way. While the person moves the implement with the muscle trainer attached, a processor receives signals from the motion sensors and determines differences between the actual implement motion and an ideal implement motion. The difference indicates a dominating force direction in which the dominating muscles urge the implement. The processor activates the force generators to apply external forces to the implement to urge the implement in various types of training force directions. , 2012
  • Who's Who in Science and Engineering, 10th edition, 2008-2009 2008
  • Who's Who in Science and Engineering, 9th edition, 2006-2007 2006
  • Who's Who in America, 60th edition, 2006 2006
  • Who's Who in America, 59th edition, 2005 2005