math Club

Mission statement:

math Club provides an opportunity for students to interact and discuss their mathematical research. Our aim is to provide venues for students to
  1. share their research ideas in a relaxed, informal, and accessible way, and
  2. get to know each other through social functions.
All are welcome.

President:

Jennie Osa (jennie.osa[at]pdx.edu).

Vice President of Affairs:

Ewan Kummel (ewan[at]pdx.edu).

Vice President of Engagement:

Tenchita Alzaga Elizondo (halzaga[at]pdx.edu).

Vice President of Records:

Madilyn Marshall (madilyn@pdx.edu).

(View the Club Officer Hall of Fame.)


In Spring 2018, math Club meets Thursdays at 2:00pm in the Peter Stott Center (PSC), Room 122. (View all quarters of Club.)

Thursday, April 12, 2018

Scott Lindstrom, University of Newcastle
Phase portraits of hyperbolic geometry

Phase plotting is a useful way of illustrating the behavior of functions on the complex plane. Exploiting natural connections between the complex plane and hyperbolic geometry, we introduce a similar method of plotting for differential geometry by assigning unique colors to the preimages of geodesics. Interestingly, for some representations the portraits are also phase portraits in the classical sense. This work is a collaboration with Paul Vrbik.

Thursday, April 26, 2018

Annie Bergman, Portland State University
A preliminary local instructional theory for the guided reinvention of the classification of chemically important point groups

Abstract algebra is an essential part of undergraduate mathematical learning and yet this subject is also known for its high level of difficulty at the collegiate level. A comprehensive understanding of molecular symmetry and group theory is also an important part of undergraduate chemistry curriculum. In this presentation, I will describe a preliminary local instructional theory which aims to engage students in learning abstract algebra, specifically group theory, within the context of undergraduate chemistry by supporting students in their guided reinvention of the classification of chemically important point groups. Using the emergent models heuristic from the instructional design theory of realistic mathematics education and data from a recent pilot study with a pair of students, I will illustrate how the students engaged with the context of molecular shapes to move through various levels of mathematical activity; from a very situated activity, considering specific molecules, to a more general level of activity, considering any molecule.