Indiana Section of the MAA – Fall 2002 meeting program

8:30 - 9:15 Registration and Refreshments (Savannah Lobby)

Book Sales (The Gallery for Contemporary Arts-Savannah Center)

9:15 - 9:30 Welcome remarks by Chancellor Bergland (Savannah Auditorium)

9:30 - 10:10 Jody Sorensen – Grand Valley State University (Savannah Auditorium)

What I Did on my Summer Vacations - Bifurcation Diagrams and Undergraduate Research

It all started in summer school. Team teaching a dynamical systems course with a colleague while at Bates College in Maine, we used a "bifurcation diagram" to show the behavior of a one-dimensional system as we changed a parameter value. My colleague wrote a computer program so that anyone could draw these diagrams, and we wrote an article about our ideas. After describing the basics of bifurcation diagrams, I will tell you about some summer undergraduate research experiences it has inspired.

10:15 - 10:45 Peter Turbek - Purdue University, Calumet (Savannah Auditorium)

Surfaces with Maximal Symmetry

A symmetry of a Riemann surface is an involution which preserves angles symmetry is called a Klein surface. In this talk, we consider Klein surfaces that possess a maximal degree of symmetry and describe recent research pertaining to them. The relationship between these surfaces, combinatorial group theory, real algebraic curves, and tesselations of the upper half plane will be explored.

10:45 - 11:00 Break (Savannah Lobby)

Book Sales (The Gallery for Contemporary Arts-Savannah Center)

11:00 - 11:30 Reza Akbari - Saginaw Valley State University (Savannah Auditorium)

Hilbert Problems on Sphere

The Hilbert problems of the theory of analytic functions on sphere are investigated. Applications of the solutions of these problems to the development of the theory of singular integral equations are described.

11:30 - 12:00 Karen Whitehead - Valparaiso University (Savannah Auditorium)

Knowing Solutions with Rate in Differential Equations

This presentation reports on mathematics education research about how students' develop new understandings of first order differential equations. The research involved class discussions, student interviews and analysis of student work and reveals different ways that students learn to understand and use solution functions and spaces of solution functions. This research has been done primarily by Dr. Chris Rasmussen at Purdue University Calumet.

12:00 - 1:00 Lunch (Library Conference Center A, B, C)

1:00 - 1:30 Business Meeting (Savannah Auditorium)

1:30 - 2:30 Tina Straley - Executive Director of MAA (Savannah Auditorium)

Undergraduate Mathematics: Hazards and Opportunities