Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Algebra (1)
- Calculus (1)
- College-level mathematics (1)
- Criel Merino (1)
- Critical groups (1)
-
- Cyclic graphs (1)
- Dihedral actions (1)
- Education (1)
- Finite connected graphs (1)
- Gettysburg College (1)
- High school (1)
- High school mathematics (1)
- Jacobians of algebraic curves (1)
- MathFest (1)
- Mathematical modeling (1)
- Mathematics (1)
- Partial differential equations (1)
- Recruitment (1)
- STEM (1)
- Srinivasa Ramanujan (1)
- Student project (1)
- The Man Who Knew Infinity (1)
- Underrepresented groups (1)
Articles 1 - 6 of 6
Full-Text Articles in Physical Sciences and Mathematics
Life After Calculus: 20 Years Later, Darren B. Glass
Life After Calculus: 20 Years Later, Darren B. Glass
Math Faculty Publications
In 1996 Math Horizons interviewed a group of students at the Joint Mathematics Meetings; now, 20 years later, one of those students, Darren Glass, interviews another group of students.
Critical Groups Of Graphs With Dihedral Actions Ii, Darren B. Glass
Critical Groups Of Graphs With Dihedral Actions Ii, Darren B. Glass
Math Faculty Publications
In this paper we consider the critical group of finite connected graphs which admit harmonic actions by the dihedral group Dn, extending earlier work by the author and Criel Merino. In particular, we show that the critical group of such a graph can be decomposed in terms of the critical groups of the quotients of the graph by certain subgroups of the automorphism group. This is analogous to a theorem of Kani and Rosen which decomposes the Jacobians of algebraic curves with a Dn-action.
A Three-Fold Approach To The Heat Equation: Data, Modeling, Numerics, Kimberly R. Spayd, James G. Puckett
A Three-Fold Approach To The Heat Equation: Data, Modeling, Numerics, Kimberly R. Spayd, James G. Puckett
Math Faculty Publications
This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course. We constructed the apparatus for a demonstration of heat diffusion through a long, thin metal rod with prescribed temperatures at each end. The students observed the physical phenomenon, collected temperature data along the rod, then referenced the demonstration for purposes in and out of the classroom. Here, we discuss the experimental setup, how the demonstration informed practices in the classroom and a project based on the collected data, including analytical and computational components.
The Power Of X, Darren B. Glass
The Power Of X, Darren B. Glass
Math Faculty Publications
In his recent book, The Math Myth: And Other STEM Delusions, political scientist Andrew Hacker argues, among other things, that we should not require high school students to take algebra.
Part of his argument, based on data some have questioned, is that algebra courses are a major contributor to students dropping out of high school. He also argues that algebra is nothing more than an "enigmatic orbit of abstractions" that most people will never use in their jobs. [excerpt]
Let's Nurture Science, Math Talent, Darren B. Glass
Let's Nurture Science, Math Talent, Darren B. Glass
Math Faculty Publications
I recently saw the film The Man Who Knew Infinity, which was released in many American cities this weekend, and was struck by the beautiful telling of an inspirational story. The film, which stars Jeremy Irons and Dev Patel, is a biography of the mathematician Srinivasa Ramanujan, who was born in India at the end of the 19th century. [excerpt]
Cyclic Critical Groups Of Graphs, Ryan P. Becker, Darren B. Glass
Cyclic Critical Groups Of Graphs, Ryan P. Becker, Darren B. Glass
Math Faculty Publications
In this note, we describe a construction that leads to families of graphs whose critical groups are cyclic. For some of these families we are able to give a formula for the number of spanning trees of the graph, which then determines the group exactly.