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Last Update: 15 April 2008 Tuesday

# HNRS-2900 (Math/Physics)

## Honors Integrating Seminar

__Honors Math__
Jay A. Wood
3305 Everett Tower
Office: (269) 387-4542
Jay Wood's homepage, Jay Wood's HNRS-2900 webpage
__Honors Physics__
Dr. Philip Edward Kaldon
2203 Everett Tower
Office: (269) 387-4942
OFFICE HOURS
Class: W 4:00-4:50pm
2211 Rood Hall

**
Class Dates:
1. January 9 Introduction
2. January 16 Standing waves on a string, Wave eq'n in (x,t)
www.ams.org | Bulletin | Current Issue | Laks article
3. January 23 Standing waves demos in 1110 Rood
4. January 30 Dr. Phil snowbound, Dr. Wood on wave equations
5. February 6 Dr. Phil leaving early, Dr. Wood continues wave equations
6. February 13 Computer simulations of all types of musical instruments
***Animusic* and *Animusic 2* DVDs in 1110 Rood
7. February 20 Looking at Fundamental and 1st Overtone diagrams as a
function of time; using Boundary and Initial Conditions
** 8. February 27 More on Boundary and Initial Conditions of wave equation.**
-. Spring Break
9. March 12 An aside ripped from the trashcan on Eigenvalues and
Eigenfuctions. Fourier Series solutions to the wave equation.
10. March 19 The 2-D Standing Waves of the square drumhead. Modes of
vibration. Nodal lines. Discussion of types of solutions
for rectangular and circular drumheads. Steel drums. Describe
demo setup with a metal plate fixed at center, not at
edges. Demo: Find out which ultrasonic ringtones you
can hear!
11. March 26 The circular drumhead. Wave equation and separation of
variables in polar coordinates. Bessel's Equation.
An aside with the more general Euler Equation. And of course
the Greek alphabet -- so useful in math and physics equations.
12. April 2 *** Fill in the details of how we solve the radial part, R(r), of
the wave equation for the circular drumhead.
13. April 9 *** R(r) ends up as Bessel's Equation of the First Kind (J) or
Second Kind (Y). The latter has a singularity (infinity) at
r = 0. Not usuable unless drumhead has a hole in the center.
The J-functions resemble sin and cos functions, but not as
regular. Make an analogy between the n=0 J-function and
Web Search Activity -- looking for a good description and good
pictures for one of eight topics with a connection to the
work we've done this semester. Work in groups of two. URL's
for each group are to be sent to Dr. Phil by 9pm Tuesday 15
April 2008. (Click here for a copy of the handout.)
14. April 16 *** URL Presentations (URLs here)

## This course is for Spring 2008.

NOTE: There is no Final Exam for this Seminar.