Topics in Mathematics: Math and Music

MATH 110   Homework Assignment #2

Due Thursday, February 15, 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 (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.

The most important thing in our world is emotional connections—to people who are far away and to people who are near; humanity is our community, and music binds it together. Music addresses people's internal imagination and memory through sound; it helps to understand things from the inside. That's what music is for.
Yo Yo Ma (b. 1955), cellist

Section 1.3, (pages 26–28)
Problems:   1, 3, 4, 6, 7, 8, 9, 10, 11, 16*

Note: Exercise #16 is extra credit.

Section 2.1 (pages 40–41)
Problems:   1, 4, 5, 6

Section 2.2, (pp. 53–55)
Problems:   1, 2, 4, 5, 6 (parts a, c, e, f, h, i), 7 (parts a, c, e, f, h, i)

Note: Click here for a set of blank piano keyboards for your answers to Exercise #6. Remember the general convention that scales never mix sharps and flats; for example, if a scale starts with a sharp, then you should only use sharps (no flats) when you need an accidental.