The Mathematics Department offers a broad, in-depth curriculum for exploring all aspects of mathematics – including quantities, changes, abstraction, structure and space – through small, engaging classroom settings. Within the department there is a great sense of discovery and collaboration as students and faculty are active in research, journal publication, conference presentations, mathematics competitions and many have received distinguished awards and recognition.
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While physics makes heavy use of mathematics compared to other disciplines, most of what a physicist does is closer to advanced arithmetic than pure mathematics. We frequently abuse mathematical concepts and teach our students to do the same in the interest of developing their physical intuition. Ironically, the most useful parts of mathematics are often […]
Lamé’s Theorem is a little known result that describes a beautiful connection between the Fibonacci sequence and the Euclidean Algorithm on the integers. We will describe what this connection is, beginning with what how the Euclidean Algorithm works on the integers. We will end with a preliminary report on current research into an analog of […]
In part I of this series, we introduced formal language theory, focusing on languages that are recognized by simple computational machines called Finite State Automata. In part II, we turn our attention to how Finite State Automata (FSA) can be used to solve computational problems in groups. In particular, we discuss how to decide both […]
What is needed in order to form a language? In their most basic form, languages require an alphabet (a set of letters) and a collection of finite strings of letters called words. In order to recognize a language, one must be able to distinguish strings of letters that form words from those that do not […]
7:45 AM to 5:00 PM - Center for Business CB 0202 Classroom