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Course Development

  • Development of a pilot course pairing: Mathematical Music Theory-Postonal Analysis (2014). These two courses are offered together to the same group of students, both mathematics/statistics and music majors, advanced undergraduate and graduate. This pilot is result of an award granted by the College of Arts and Sciences.
  • Development of a course on ‘Mathematical Music Theory’ (2014). The objectives include the use of specific aspects of Group Theory, Algebraic Combinatorics on Words, Topology, and Topos Theory in the analysis of general objects of Music (scales, chords, rhythmic patterns) as well as specific applications (development of software, analysis of pieces from different time periods and genres). The course was accepted by the Mathematic and Statistics Department at Georgia State University and will be part of the course offerings in the catalogue.
  • Development of a multidisciplinary course (mathematics and music students) on ‘Mathematical Music Theory’ as part of the Study Abroad with Peers program (2014). The course took place during Maymester 2014 at the East Chinese University of Science and Technology with Students from GSU and from ECUST.
  • Development and implementation of a mini- course (20 hours) on ‘Mathematical Music Theory’ (November 24- 29, 2013) for seniors and graduate students at the East Chinese University of Science and Technology.
  • Development and implementation of a workshop on modeling through Mathematical Music Theory for high school mathematics teachers. (June 2013).
  • Co-design of the     doctoral course Learning Theories in Collegiate Mathematics     Education (2010). I selected areas of concentration and related     texts for the study of particular aspects of the historical development     and current state of key notions in subjects such as Linear Algebra, Set     Theory and Logic, Proofs, Calculus and Analysis. I developed evaluation     assignments and participated in the seminars.
  • Development of an     online second Linear Algebra course for the     Masters degree in Mathematics Education for the Georgia university     system’s Georgiaonmyline.  (2008-9).
  • Development of a     proposal for a course on Topology (point-set     and        Introductoryalgebraic topology), accepted by the Math Departmentat GeorgiaState University and was part of the course offerings in the catalogue. 

Reading courses

  • Reading Course Exploring Musical Spaces:A Synthesis of Mathematical Approaches based on     the book by the same name by Julian Hook, (Graduate Math 8800) Summer     2023
  • Reading Course on Category Theory (graduate Math 8800) Summer     2015, Summer 2016, Summer 2017.
  • Reading course Maximal Evenness (graduate Math 8800) Fall 2017
  • Reading course Rhythmic Tiling Canons (graduate Math 8800) Spring 2018
  • Reading course Goulomb Rulers (graduate Math 8800) Fall 2018
  • Reading Course on Mathematical Music Theory (undergraduate     Math4999): Spring 2011
  • Reading Course on Mathematical Music Theory (graduate Math 6999) Summer 2008, Fall     2011 (Algebraic Combinatorics on Words).
  • Reading Course on Symmetry (graduate Math 6999) Spring 2012.
  • Reading Course on Mathematical Music Theory (undergraduate Math4999): Spring 2011
  • Reading Course on Mathematical Music Theory (graduate Math 6999) Summer 2008, Fall     2011 (Algebraic Combinatorics on Words).
  • Reading Course on Symmetry (graduate Math 6999) Spring 2012.

Established Courses

  • Abstract Algebra II (Math8221)
  • Algebraic Concepts (Math3090)
  • Applied Matrix Algebra (Math8535)
  • Bridge to Higher Mathematics (Math3000).
  • Calculus I (Math2211)
  • Calculus II (Math2212)
  • College Algebra (Math 1111
  • Discrete Mathematics (Math 2420)
  • General Topology (Math 4381/6381
  • Introduction to Statistical Methods (Math6457/445709)
  • Linear Algebra I (Math3434)
  • Linear Algebra II (Math4435/6435)
  • Linear Algebra II (online course that I developed for     GOML)
  • Modern Algebra I (Math4441/6441)
  • Modern Algebra II (Math4442/6442)
  • Multivariate Calculus (Math2215)
  • Precalculus (Math1113)
  • Thesis Research: Math 8999
  • Thinking Math: Introduction to Proof, Math 7000
  • Undergraduate Research (Math 4982)
Robinson College of Business
  • Mathematical Foundations for Analytics (MSA 8005)
  • Optimization Methods for Analytics (MSA 8100)
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Special Instructional Activities

  • The Mathematical Music Composition Workshop
    An ongoing collaboration between the School of Music and the Department of Mathematics and Statistics initiated in 2019.
  • In 2019 two lecture concerts were offered at the Florence Kopleff Recital Hall, in April and November, in which eight mathematics students gave talks on the mathematics involved in the music composed by eight music students. The compositions were performed by live musicians.
    Links to some of the presentations:

https://www.youtube.com/watch?v=di87izGviyc   Introduction; Musical Set Theory & Probability
https://www.youtube.com/watch?v=j7Nbfz4wQQs    Contextual Transformations & Euclidean Rhythms
https://www.youtube.com/watch?v=anidR5yKYU8     Nzakarian Canons
https://www.youtube.com/watch?v=xN_vaIu5iBU     Neo-Riemannian Transformations & Euclidean Rhythm
shttps://www.youtube.com/watch?v=UZvtu85MGfw    Euclidean Rhythms and Flamenco
https://www.youtube.com/watch?v=MJ2IjZAnT_s   Closure