Honours 390: Mathematics
in Music

__Instructor__** ** Dr. Thomas Ivey office: RSS 327, phone: 953-7276,

email: i v e y t at c o f c dot e
d u, web page: https://iveyt.people.cofc.edu

My office hours are tentatively
2-3pm Monday, and 11-12pm Tuesday and Thursday. If these times arenÕt convenient for you, please contact me
to make an appointment for another time.

__Textbooks__

*Music, A
Mathematical Offering, *David
W. Benson

*The
Math Behind the Music, *Leon
Harkleroad

Other
helpful references include:

*Music
and mathematics: from Pythagoras to fractals*, Fauvel, Flood & Wilson (eds.)

*Measured
Tones: The Interplay of Physics and Music*, Ian Johnston

Other
interesting references will be posted on my webpage.

__ __

__Course
Description__ This course is
about the interface of mathematics and music. WeÕll examine the musical applications of the following
areas of math: arithmetic and number theory; Fourier series and differential
equations; probability; symmetry and group theory. A tentative schedule for the course is given on the back of
this syllabus.

An interest in music and some basic mathematical ability are
essential to getting the most out of this course. While **a background in calculus is assumed**, other areas of mathematics will be
covered as we go along. Some
familiarity with basic music theory will be helpful.

__Course
Work__** **Each class will include reading
assignments and homework problems.
WeÕll discuss the readings and questions about the homework at the
beginning of the next class. Homework problems will be due one week after they
are assigned. There will be two in-class
midterms, and a final project.
Some suggestions for final projects will be available.

__Important
Dates__** **The last date to withdraw from the class
with a grade of W is Feb. 23. Midterms
take place on Feb. 17 and April 7.
Project outlines are due March 24, and final projects are due on May 2.

__Grading__** **Your
grade will be based on your course work, in roughly the following
proportions: 25% final project,
20% for each midterm, 30% homework, and 5% class participation.

__Academic
Honesty__* *Discussing assignments and comparing results with your
classmates is expected and encouraged.
However, when you hand in an assignment with your name on it, it is
expected that it represents your own thoughts and is your own work.