Topics in Mathematics: Math and Music

MATH 110   Homework Assignment #3

Due Thursday, February 22, START of Class

Homework should be turned in at the START OF CLASS. All problem numbers refer to From Music to Mathematics: Exploring the Connections. Unless otherwise indicated, all parts of a problem (e.g., a., b., c., etc.) should be completed. You are encouraged to work on these problems with other classmates, and it is ok to use internet sources for help if it's absolutely necessary; however, the solutions you turn in should be YOUR OWN WORK and written in YOUR OWN WORDS. Be sure to cite any references, websites, Internet sources, etc. that you may have used for assistance with the assignment.

Important: Please list the names of any students you worked with on the top of your assignment.

Music is the mediator between the spiritual and the sensual life.
Ludwig van Beethoven (1770--1827)

Section 2.3 (pp. 63–64)
Problems:   1, 2, 3, 4, 5

Section 2.4 (pp. 78–79)
Problems:   1, 2, 3, 4

Note: The music for Exercises #2 and #3 in Section 2.3 and for Exercise #3 in Section 2.4 is available here. Feel free to print out a copy, complete the exercises, and then turn it in with your homework.

In addition to the problems listed above, listen to CD #2: Tonality and the Evolution of Polyphony (tracks available on Moodle) and read the liner notes for the CD, available here. You should also read Section 2.4.5 ("The evolution of polyphony") in the course text. You will be tested on some of this music so be sure to read the liner notes and listen carefully. One approach to effectively absorbing the music is to make brief notes about each piece, listing significant details as you listen.