# Welcome to the Math Department

Use the navigation menu on the left to browse around the site!

## Announcements

**The Math Department office will be closed from December 22, 2014
through January 4, 2015.**

Students wanting to **add a math major** or
**switch to a math major** can do so between February 15 and
March 31, during First Summer Session, or between October 1 and the day
before Thanksgiving break.

**Credit by Exam Info for Fall 2014**

**Advising Information - New Courses**

**Force-Add information for Spring 2015**

## Featured Research

**Henning Mortveit**- Dr. Mortveit's research area is Graph Dynamical Systems. These systems are constructed from a finite graph

*Y*where each vertex

*v*has a state taken from a finite set and a vertex function defined over the states from the 1-neighborhood of

*v*. The vertex functions are applied, e.g. synchronously or asynchronously to the vertex states, and thus give rise to a discrete, finite dynamical system with map

*F*. Sequential Dynamical Systems (SDS) is the class of graph dynamical systems with an asynchronous evaluation order which is specified by a linear order or word over the vertex set of the graph

*Y*. The structure of the resulting phase spaces are governed by the properties of the graph

*Y*, the vertex functions, and the permutation or word specifying the composition order. The research in this area uses techniques from, e.g. abstract algebra, combinatorics and probability theory to infer phase space properties based on the structure of the system constituents. Graph dynamical systems constitute a natural framework for capturing distributed systems such as biological networks and epidemics over social networks, many of which are frequently referred to as complex systems.

Click here for more information on graph dynamical systems, their theory and applications.