### Welcome to the Department of Mathematics & Statistics at the University of Vermont!

Mathematics is often described as the "queen of the sciences" and is certainly the basis for the technological explosion of recent years. Mathematics is also an art, with beautiful structures, theorems, and concepts.

The Department of Mathematics and Statistics has a long and proud tradition of excellence in teaching undergraduate students as well as an international reputation for world-class research and mentoring graduate students to a Master's degree or a PhD degree. Our Bachelor of Science degree program is perhaps the most flexible and marketable undergraduate degree at UVM. It is relatively easy to obtain a second Bachelor's degree while fulfilling the requirements of the B.S. in Mathematics (or Statistics).

There are excellent job opportunities with a B.S. in Math, and our preparation for further study in graduate school has enabled many students to continue their studies at institutions such as Stanford, Chicago, MIT, Michigan, and of course UVM. For upper-level undergraduates and graduate students, opportunities exist for collaboration our faculty and with other strong research areas at the University.

Our curriculum provides a broad basic training (1) in **Mathematics**, with required courses in linear algebra, abstract algebra, and analysis; (2) in **Applied Mathematics** with required courses in linear algebra, differential equations, and numerical analysis, and (3) in **Statistics** with a required course in linear algebra. At the undergraduate level, we offer four programs leading to Bachelor's degrees:

**Bachelor of Science in Mathematics**-- our most extensive program complemented with study in an allied field using mathematics in its applications;**Bachelor of Science in Mathematics, Statistics Option**-- a major that provides a foundation in mathematics and emphasis on application of statistical methods;**Bachelor of Arts, Major in Mathematics**-- a flexible program through the College of Arts & Sciences providing mathematics in the context of a liberal arts degree, allowing a wide range of double majors and minors, as well as the option of a**Concentration in Statistics**;**Bachelor of Arts, Major in Mathematics, Applied and Interdisciplinary Option**-- an interdisciplinary major through the College of Arts & Sciences combining mathematics and an applied focus area.

Each of these programs requires ancillary courses to ensure a broad education with skills in communication, problem-solving, and critical thinking. With careful planning, the ancillary and distribution requirements of the degree Math or Stat can actually satisfy other degree requirements. For example, one can obtain a B.S. in Mathematics and a B.A. in Economics, or a B.S. in Math and a B.S. in Chemistry within the usual 120 required credit hours.

At the graduate level, we offer programs through the Graduate College:

- The Master's Program is a traditional thesis-option or non-thesis option two-year degree program in Mathematics, Statistics, or Mathematics Teaching;
- The Accelerated Master's Program (AMP) enables exceptionally motivated students to complete both a Bachelor's and a Master's degree in Mathematics or Statistics within a five year period;
- The PhD in Mathematical Sciences Program offers study in several areas of advanced mathematics including analysis, combinatorics and graph theory, algebra and number theory, and applied mathematics.
Graduate assistantships are available to help support students and usually involve teaching one introductory class per semester.

Our class sizes are small (35 or less), our faculty are dedicated and accessible teachers, having won eight UVM teaching excellence awards, and several University Scholar awards, and there are numerous extra-curricular department, college, university, and community activities. Our Department takes pride in its reputation for great teaching, cutting-edge research, and the personal attention we give our students.

Most department members are actively engaged in faculty research, working in areas such as:

- Arctic sea and sea-ice temperatures
- Network decoupling
- Internet encryption algorithms
- Mathematical biology
- Condensed matter physics
- Complex Systems
- Statistical genetics

- Hurricane path prediction
- Human brain-pressure models
- Shallow wave propagation
- Social epidemics
- Encoding, transmitting digital signals
- Applied Statistics and Biostatistics
- Transportation

I hope you enjoy visiting our website. If you need further information about our programs or the Department, please contact us.

Jeffrey S. Buzas

Professor and Department Chair