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Bryan Dawson

University Professor of Mathematics

Education

  • Ph.D, University of North Texas

  • M.S., Pittsburg State University

  • B.S., Pittsburg State University

Scholarship

Books

  • Oxford University Press

  • Supplemental Mathematics for the Curious: Number Theory (2009)

    Royal Fireworks

  • Supplemental Mathematics for the Curious: Number Systems (2009)

    Royal Fireworks

Articles

  • Journal of Logic & Analysis

  • Dream, a Train, and Three Binary Sequences (2022)

    Math Horizons

  • The Mathematical Intelligencer

  • College Mathematics Journal

  • Missouri Journal of Mathematical Sciences

  • The American Mathematical Monthly

  • 0.999…=1: An Infinitesimal Explanation (2016)

    Math Horizons

  • Arithmetic Sequences, Diophantine Equations and the Number of the Beast (2009)

    Proceedings of the Seventeenth Conference of the Assoc. of Christians in the Mathematical Sciences

  • Highway Relativity (2004)

    College Mathematics Journal

  • Missouri Journal of Mathematical Sciences

  • The Lottery: A Tax on the Mathematically Ignorant (2002)

    Keep Tennessee Gambling Free: A Resource of the Baptist & Refllector

  • PRIMUS

  • Twentieth Century Student Scholarship: Student Papers in the Pentagon (2001)

    The Pentagon

  • An Algorithmic Version of Kuhn’s Lone-Divider Method of Fair Division (2001)

    Missouri Journal of Mathematical Sciences

  • Using Graphs to Analyze SPorts Drafts (1999)

    Missouri Journal of Mathematical Sciences

Presentations

  • Calculus with Infinitesimals: Simplifying Computations and Improving Understanding Using the Approximation Relation (2025)

    Joint Mathematics Meetings (Indigenous Voices in Mathematics session)

  • Approximating the Master: Reconciling Euler’s Power Rule Proof with Modern Infinitesimal Analysis (2024)

    24th Biennial Conference of the Association of Christians in the Mathematical Sciences

  • Teaching Calculus using Infinitesimals (2024)

    Preconference Workshop (Association of Christians in the Mathematical Sciences)

  • JMM Workshop on Exploring the Teaching of Calculus Using Infinitesimals: Hands-on Practice in Issues Related to Curriculum Design (2023)

    Joint Mathematics Meetings

  • A Widely Applicable Nonstandard Test for Series Convergence (2022)

    PRIMA Congress 2022, Indigenous Mathematical Scientists special session

  • A Tale of Four Integrals (2022)

    Colloquium at Murray State University

  • Exploring the Teaching of Calculus Using Infinitesimals: Hands-on Practice in Issues Related to Curriculum Design (2022)

    Colloquium at the University of Memphis

  • Big-oh Notations, Elections, and Hyperreal Numbers (2022)

    23rd Biennial Conference of the Association of Christians in the Mathematical Sciences

  • The Hyperreal Numbers (2021)

    KME 43rd Biennial National Convention

  • The Lake Wobegon Paradox (2020)

    Joint Mathematics Meetings

  • Ongoing Adventures in Writing a Calculus Textbook (2019)

    22nd Biennial Conference of the Association of Christians in the Mathematical Sciences

  • Unicorns and Zombies and Other Analogies to Help Students with Proofs (2019)

    Joint Mathematics Meetings

  • A New Extension of the Riemann Integral: From a Simpler Calculus to Analysis-Level Neat Stuff! (2018)

    Mathematical Association of America Southeast Section meeting

  • Calculus Limits via Infinitesimals (they’re easier!) (2017)

    faculty workshop at the KME 41st Biennial National Convention

  • A New Extension of the Riemann integral (2017)

    Joint Mathematics Meetings

  • Infinitesimals, Point Nine Repeating, and One (2016)

    Joint Mathematics Meetings

  • A Successful Implementation of the Flipped Classroom in Mathematics (2015)

    20th Biennial Conference of the ACMS

  • The Best of Both Worlds: The Flipped Classroom with a Moore Method Flavor for Undergraduate Analysis (2014)

    Joint Mathematics Meetings

  • Arithmetic Sequences, Diophantine Equations and the Number of the Beast (2009)

    Seventeenth Conference of the Association of Christians in the Mathematical Sciences

  • Writing a Textbook for the Homeschool Market (2007)

    Sixteenth Conference of the Association of Christians in the Mathematical Sciences

  • A Website for Specific Examples of Integrating Faith and Learning in Mathematics (2003)

    Fourteenth Conference of the Association of Christians in the Mathematical Sciences

  • It Can’t Be Done – Or Can It? (2002)

    University of Tennessee at Martin

  • Highway Relativity (2002)

    Joint Meetings of the American Mathematical Society and the Mathematical Association of America

  • Senior Seminar in Mathematics at Âé¶¹ÊÓÆµ University (2001)

    Joint Meetings of the American Mathematical Society and the Mathematical Association of America,

  • KME Student Scholarship: 1931—Present (2000)

    North Central Regional KME Convention

  • Logarithms: Exponentiation to Multiplication, Multiplication to Addition, Addition to ? (2000)

    MAA Southeastern Section Meeting

  • Some Thoughts on the Philosophy of Probability with Application to Confidence Intervals and Theology (1999)

    MAA Southeastern Section Meeting

  • Joint Meetings of the American Mathematical Society and the Mathematical Association of America

Awards

  • Multi-rotor apparatus and method for motion sculpting

  • 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.

  • Muscle training apparatus and method

  • 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.

  • Who’s Who in Science and Engineering, 10th edition, 2008-2009 (2008)

  • Who’s Who in America, 60th edition, 2006 (2006)

  • Who’s Who in Science and Engineering, 9th edition, 2006-2007 (2006)

  • Who’s Who in America, 59th edition, 2005 (2005)