Library

# 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
- 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)

No items found.

**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